Wess lM Ronee EASES 5 (Cite . eee Ge Misc, iP e. Cee a : Miscellaneous Paper CERC-96-4 June1996 US Army Corps of Engineers Waterways Experiment Station 1994 Annual Index of Wind Wave Directional Spectra Measured at Harvest Platform by Charles E. Long E Approved For Public Release; Distribution Is Unlimited Prepared for Headquarters, U.S. Army Corps of Engineers The contents of this report are not to be used for advertising, publication, or promotional purposes. Citation of trade names does not constitute an official endorsement or approval of the use of such commercial products. ER ranvren ON RECYCLED PAPER Miscellaneous Paper CERC-96-4 June 1996 1994 Annual Index of Wind Wave Directional Spectra Measured at Harvest Platform by Charles E. Long U.S. Army Corps of Engineers Waterways Experiment Station 3909 Halls Ferry Road Vicksburg, MS 39180-6199 MnSCN AMON Final report Approved for public release; distribution is unlimited Prepared for U.S. Army Corps of Engineers Washington, DC 20314-1000 Under Civil Works Research Work Unit 32484 US Arny Corps of Engineers Waterways Experiment Station AREA OF RESERVATION - 27 eq bra Waterways Experiment Station Cataloging-in-Publication Data Long, Charles E. 1994 annual index of wind wave directional spectra measured at Harvest Platform / by Charles E. Long ; prepared for U.S. Army Corps of Engineers. 118 p. : ill. ; 28 cm. — (Miscellaneous paper ; CERC-96-4) Includes bibliographic references. 1. Wind waves — California — Point Conception — Statistics. 2. Water waves — California — Point Conception — Statistics. 3. Ocean waves — California — Point Conception —Statistics. 4. Frequency spectra. |. United States. Army. Corps of Engineers. II. U.S. Army Engineer Waterways Experiment Station. Ill. Coastal Engineering Research Center (U.S. Army Engineer Waterways Experiment Station) IV. Title. V. Series: Miscellaneous paper (U.S. Army Engineer Waterways Experiment Station) ; CERC-96-4. TA7 W34m no.CERC-96-4 Contents Rr e ACO Malta ep mpi cunt Ae eal tie tule SS acl nal paeniveaT Ede ce a Siratatens eae eae etae a Vv IIRC. caccocodcno0ussaGandngeavesedGnaccco0dbacKo080006 ] DP) Irectionali\Gause ane rraiarcee seieperer scious rie Gcleiete els ta tcacceare ie aeeanenten atts 3 Gauge Location and Array Geometry .............--. 02 eee e eee eee 3 Pressure Gauges and Data Path ............ 02... cee eee eee eee 3 Collection Schedule and Data Set Size .............. 2.02. e eee eee eee 4 B= Primaty DatavAnalysiseiae ey eheveis etanieu gets woo ahsennciceniola le wuuctalauey en are ven etans 6 Error @heckin pire teenie eee eee eine a sass ee oie ree eaten Stol st 6 Erequency-DirectioniSpectral saan-aese ae a. sno co aoe eis ciecrar 9 4——@haractenizingebarameters\ sera el ta ie eerie eee 14 Wave Height, Peak Frequency, and Peak Direction................... 14 Circular Moment Parameters .............. 2022s eee cece ees 15 @uartile:Parametersaunys Selsey. voce sere eo eae elcl si seria pues chavelletials 16 Summany/ofParametersy seen sen ees iar tren 17 STACEY SIS coboneedagnuadengcudcodse AAS TUNA, SCH sta ia 19 C—-SIMINNEINY Sooo dcocconesodeon ed ob dcoboo se oor pombe Molde oid hada co 20 IRELETEM CES ree teeta ees ree eT acetate toiner cu oem Mcnayansrtysey iets eG doia rei 21 Appendix A: Table of Collection Times and Bulk Parameters ............ Al Appendix B: Time Series Graphs of Bulk Parameters ...........-...--. Bl Appendix C: Listing of FORTRAN Computer Program ................. Cl Appendix D: Listing of Sample Data File .............--..--+2e- eee ee D1 Appendix E: Notation SF 298 Preface This report indexes parameters of and describes means of access to a series of wind wave frequency-direction spectral observations made with a six-element, high-resolution directional wave gauge at Texaco Oil Company’s Harvest Plat- form. The work was motivated by a need to publicize these results so they can be used by all investigators interested in natural wind wave energy distributions at a deepwater site near the exposed California coast. This effort was authorized by Headquarters, U.S. Army Corps of Engineers (HQUSACE), under Civil Works Coastal Navigation Hydrodynamics Program Research Work Unit 32484, “Direc- tionality of Waves in Shallow Water.” Funds were provided through the Coastal Engineering Research Center (CERC), U.S. Army Engineer Waterways Experi- ment Station (WES), under the program management of Ms. Carolyn M. Holmes, CERC. Messrs. John H. Lockhart, Jr., Charles Chesnutt, and Barry W. Holliday were HQUSACE Technical Monitors. This report was prepared by Dr. Charles E. Long, under the direct supervision of Mr. William A. Birkemeier, Chief, Field Research Facility (FRF), CERC, and Mr. Thomas W. Richardson, Chief, Engineering Development Division (EDD), CERC. General supervision was provided by Dr. James R. Houston and Mr. Charles C. Calhoun, Jr., Director and Assistant Director, CERC, respectively. Mr. David D. McGehee, Prototype Measurement and Analysis Branch, EDD, CERC, was instrumental in coordinating the efforts of CERC and the State of Cal- ifornia in data archiving and gauge maintenance by the Coastal Data Information Program (CDIP) at Scripps Institution of Oceanography (SIO). Data transfer be- tween SIO and the FRF was coordinated under the direction of Dr. Richard J. Seymour, CDIP, with particularly helpful assistance from Ms. Julianna Thomas, CDIP. Ms. Judy H. Roughton, FRF, produced Figure 1 of this report. The contri- butions of all these individuals are gratefully acknowledged. At the time of publication of this report, Director of WES was Dr. Robert W. Whalin. Commander was COL Bruce K. Howard, EN. The contents of this report are not to be used for advertising, publication, or promotional purposes. Citation of trade names does not constitute an official endorsement or approval of the use of such commercial products. St Y * v E Apes ane! Alaleenetrk ; : Sea a agli dewetiee tay : ar alles a : i ian! ols} re h 4 7 / y “ale _ 1 Introduction In late December 1992, a high-resolution directional wave measuring system became fully operational on Texaco Oil Company’s Harvest Platform to make long-term observations of the deep-ocean wind wave climate in the vicinity of the Southern California Bight (Figure 1). Such observations are necessary to provide Figure 1. Southern California Bight and location of Harvest Platform ground truth for interpreting satellite imagery of the ocean surface, test evolution and propagation models of open-ocean wind waves, and establish seaward bound- ary conditions for models of wave propagation and transformation from deep wa- ter to coastal regions. The purpose of this report is to encourage broad use of these observations by parametrically describing 2,320 wind wave frequency-direc- tion spectral estimates obtained in calendar year 1994, and identifying a means whereby an investigator can access these spectra. These results are from the sec- ond year of collection. Results from the first year are described by Long (1995a). Chapter 1 Introduction For completeness, this report briefly describes the directional gauge geometry and data collection scheme (Chapter 2), error checking procedures and basic di- rectional estimation algorithm (Chapter 3), and definitions of parameters used to characterize the observations (Chapter 4). Appendix A contains a table of these characterizing parameters, and acts as an index for the 1994 database. Time series graphs of these parameters are presented in Appendix B. Chapter 5 describes how data can be obtained as well as the data format and file-naming scheme. Chapter 1 Introduction 2 Directional Gauge Gauge Location and Array Geometry As indicated in Figure 1, Harvest Platform is located about 20 km (10.8 n.m.) west of Point Conception, California, in water with a mean depth of 202 m (663 ft). Waves originating in the greater Pacific Ocean can reach the platform via relatively unobstructed paths from the north, west, and south. The mean water depth ensures deepwater wave conditions for waves with lengths shorter than about 400 m (1,312 ft), or frequencies higher than about 0.06 Hz. Spectra repor- ted herein are processed at frequencies between 0.04 and 0.16 Hz, so it is likely that directional spectra for frequencies between 0.04 and 0.06 Hz are affected somewhat by refraction. Directional wave detection is achieved with a spatial array of six subsurface pressure gauges mounted on the Harvest Platform framework. Figure 2 shows a plan view of relative gauge positions, and the array orientation in a geophysical reference frame. Gauge spacing takes advantage of the maximum horizontal di- mensions of Harvest Platform, and allows directional estimation for waves in the frequency band noted in the previous paragraph. All gauges are mounted at a depth of 15.72 m (51.57 ft) below mean sea level, which ensures they will not protrude through the sea surface under extreme wave conditions that have been observed at this site.' To avoid aliasing in directional estimation, the lower reso- lution wavelength limit is two times the shortest lag spacing of the array. In the Harvest Platform array, this limit is 45.4 m (149.0 ft), which corresponds to a wave frequency of about 0.18 Hz. Signal analysis used in this report was limited further to 0.16 Hz to be conservatively clear of aliasing effects. Pressure Gauges and Data Path Individual sensors were Model TJE absolute pressure sensors manufactured by Sensotec Transducer Company with operating ranges of 0 to 100 psia (0 to 689.5 kPa), and a manufacturer’s stated accuracy of 0.1 percent of full scale. The six gauges on Harvest Platform were sampled simultaneously at 1 Hz, ’ Personal communication, 1991, Dr. R. J. Seymour, Coastal Data Information Program (CDIP), Scripps Institu- tion of Oceanography (SIO). Chapter 2 Directional Gauge wave propagation direction Figure 2. Dimensions and orientation of the Harvest Platform array digitized, and then fed to a concentrator where the set of samples was buffered. Buffered signals were periodically transmitted to shore through a telephone con- nection, and ultimately stored as collection files on the main computer of the CDIP, Ocean Engineering Research Group, SIO, La Jolla, CA. Each collection time series is 8,192 sec (2 hr 16 min 32 sec) in length. Data processing for results presented in this report was not performed at the CDIP site, and so is independent of the processing done and published by that group (Monthly reports, Coastal Data Information Program). Data collections were transferred to the Field Research Facility (FRF) of the U.S. Army Engineer Waterways Experiment Station’s Coastal Engineering Research Center for pro- cessing by high-resolution techniques that are different from those used by CDIP. Data transfer was accomplished over an electronic network. Collection Schedule and Data Set Size Collections were made eight times daily, at approximately 3-hr intervals. Nominal collection start times were 0200, 0500, 0800, 1100, 1400, 1700, 2000, and 2300 GMT. Actual collection start times varied by several minutes on either side of these nominal start times because the amount of time required to establish a phone link varied from collection to collection. There are several periods of sev- eral days duration where collections are virtually continuous. These occur when CDIP shifts to a collection mode intended to detect tsunami waves, and result in 12 directional spectral estimates daily instead of the normal eight. Chapter 2 Directional Gauge Of the possible 2,920 collections during calendar year 1994 (assuming eight collections per day), a total of 2,320 collections were acquired and processed as frequency-direction spectra. A number of collections were lost because of the in- ability to establish or maintain electrically clean phone links to the concentrator on Harvest Platform. An additional number of collections were not processed be- cause data did not satisfy error-checking constraints described in Chapter 3 of this report. Chapter 2 Directional Gauge 3 Primary Data Analysis Primary data processing was done by checking data quality through a series of spectral intercomparisons, and, for data of sufficient quality, computing frequency-direction spectra. All steps rely on Fourier analysis of pressure gauge time series data, and subsequent computation of cross-spectral densities. A dis- cussion of error-checking procedures then leads logically to the subsequent steps involved in frequency-direction spectral computation. Error Checking The first step in data processing is computation of discrete estimates of frequency autospectra of pressure signals, and surface-corrected cross-spectral densities of signals from all pairs of gauges. Cross spectra are denoted in complex form as EGR) = i0,U,)> where CiC, ) is the coincident spectrum, Q,U,,) is the quadrature spectrum, i and j (as subscripts) are indices ranging in value from 1 to 6 that refer to the gauge numbers shown in Figure 2, and f, is the n™ of a set of N discrete frequencies.’ Frequency autospectra are denoted S(/{, ), and, if sur- face corrected with the linear wave pressure response functions (Dean and Dal- rymple 1984), are identically equal to C,,(f,). All spectra are computed using Welch’s method (Welch 1967) with standard Fourier analysis techniques (Bendat and Piersol 1971). In a collection, the 8,192-sec time series from each gauge is analyzed in 15 half-lapped segments of 1,024 sec duration. Each segment is demeaned, tapered with a variance-preserving window, and converted to the frequency domain with a discrete Fourier transform. At this point, the analysis is split into two parts: esti- mates of pressure autospectra from each gauge at depth, and estimates of surface- corrected cross spectra of sea surface displacement. Raw cross-spectral estimates are formed for all gauge pairs using temporally corresponding transformed seg- ments of pressure data corrected to represent sea surface displacement. Raw auto- spectral estimates are formed for each of the 15 transform segments for each indi- vidual gauge. At the error-checking stage, autospectral estimates are not surface corrected. ' For convenience, symbols and abbreviations are listed in the notation (Appendix E). Chapter 3 Primary Data Analysis For both autospectra and cross spectra, smooth estimates are formed by averag- ing raw estimates over all 15 segments, and averaging results over 10 adjacent frequency bands. Final resolution frequency bandwidth is df =0.00977 Hz, and the pass band of frequencies ranges from 0.044 to 0.162 Hz, which corresponds to (N =) 13 discrete frequency bands. Degrees of freedom for spectral estimates range from 160 to about 200, depending on the extent to which the second halves of time series segments are correlated with the first halves (Welch 1967). Autospectral intercomparisons One part of error checking is a graphic intercomparison of signal means and autospectra, an example of which is shown in the lower left graph of Figure 3. Frequency autospectral estimates of data from all six pressure gauges are plotted on the same set of axes from the first resolvable frequency band out to the tempo- ral Nyquist frequency. If a pressure gauge is malfunctioning, its autospectrum will deviate obviously from the main group of curves. The small inset graph in the lower left graph of Figure 3 is an analysis of sig- nal means. The closely packed group of symbols of nearly constant value repre- sents the deviations of the segment means from the median of the set of segment means for each of the 15 segments. If a gauge develops signal drift problems, it will be obvious as a symbol that deviates from the main group of symbols. Trian- gle symbols in the small inset graph show the deviation of the indicated water sur- face from mean sea level (gauge height off the bottom plus median of gauge mean depths for each segment minus the total long-term mean ocean depth of 202 m), and is therefore an indication of tide stage at Harvest Platform for each of the 15 segments in a collection. Coherence and phase comparisons The next step in error checking is computation of a dimensionless cross spec- trum M,,(f,); defined by CHO) OV) VEuU,) VOT.) Equation | is used in error checking in the form of coherence and phase estimates. Coherence of signals from gauges i and j at discrete frequency f, is M,U,,) = (1) TU) = |M,C,) 2? (2) Signal phase difference of gauge i relative to gauge j at frequency f, is Im[M,(F,)] | a 2 -1 ,,0,,) tan | Re [M,(,)] Chapter 3 Primary Data Analysis Harvest Platform Frequency—Direction Spectrum Date: 19 Jun 94 at 1702 GMT for 136.53 min with 160 dof Ho = 140m = f, = 0.113 Hz T, = 8.87 sec @,= 42.0 deg depths: min = 202.42 m mean= 202.72 m max = 202.97 m @ @ ed 4 € Q 7) 2 Zz g 7 Harvest Platform Raw Frequency Spectra Dote: 19 Jun 94 Time: 1702 GMT Missing gauges: NONE Contours at 5% and then Tenths of Maximum S(f,@ 246 8101214 Segment Number log S(f) (mks) -7.0 -6.0 -$.0 -4.0 -3.0 -2.0 -1.0 pS arer v = MSL — 202 (m ed 0.4 ° o.1 0.2 0.3 3 10 150 -30 -680 -90 -120 -150 -180 { (Hz) South East South Figure 3. Autospectral intercomparison and frequency-direction spectral estimate where Re[ ] and In ] are the real and imaginary parts, respectively, of the entity contained in square brackets. Signals from multiple pairs of gauges having redundant lag (or spatial separa- tion) vectors in a uniform wave field are expected to have identical cross spectra. In the Harvest Platform array there are several such sets of pairs as can be seen in Figure 2. In terms of coherences and phases, one would expect Gad) = NAGE) = eG) Ona) = Oni) = b56U,,) (4) Chapter 3 Primary Data Analysis as well as MaGi) = Oe) $0) + OraGE) (3) and igGEd 2 Last) OG) = b46U,) (6) Figure 4 is an example of coherence and phase comparisons, showing graphs of the functions named in Equations 4, 5, and 6 (upper, middle, and lower sets of graphs in Figure 4, respectively). This type of error checking is useful for isolat- ing cases where a data point is dropped during telephone transmission from the data buffer, resulting in an apparent temporal shift of data from one gauge relative to data from the other gauges. Such a shift causes a significant phase error in cross spectra, and is readily apparent in a graphic display like Figure 4. The combined effects of intercomparing frequency autospectra and coherence and phase functions for the pressure gauge array on Harvest Platform provide clear indications of faulty or suspect data. When such conditions are detected in a collection, frequency-direction spectra are not computed. Such rigorous examina- tion of the data ensures that only high-quality time series are used in directional estimation. Frequency-Direction Spectra Estimates of frequency-direction spectra are made using the iterative maximum likelihood estimator (IMLE) developed by Pawka (1983). Estimates are made by iterative approximations of directional distribution functions D(f,,0,,), which are related to corresponding frequency-direction spectra S(f,,0,) by S(f,,8,) Dip se) = Tey (7) where 0, is a discrete angle indicating the direction from which wave energy ar- rives, measured counterclockwise from true north (Figure 2), and S(f,) is the (surface-corrected) frequency spectrum. The direction index m ranges from m =1 to m = M = 181, while direction ranges from 0, = -180 deg to 6,,; = 180 deg in steps of d8 =2 deg. The directional distribution function has the property M SD, Gace) ST (8) m=1 which must be satisfied in all estimates. Chapter 3 Primary Data Analysis 10 Harvest Platform 1702 19 Jun 94 Gauges: 123456 coherence phase (deg) Figure 4. Sample coherence and phase function comparisons The lowest order estimate is the maximum likelihood estimate described by Davis and Regier (1977), which takes the form Chapter 3 Primary Data Analysis Higuonet = HN eli 9 EDD a Gaye ee ) where a, is a factor of order | that is used to satisfy Equation 8, J is the number of gauges, the M ee (f,) are elements of the inverse of the dimensionless cross- spectral matrix defined by Equation 1, k ,(9,,) is the wave number vector, and x, and x, are coordinate position vectors of gauges i and j , respectively. The wave number vector k,(8,) is k (6) = k,cos®, é, + k,sin®, é, (10) where é, and é, are spatial coordinate unit vectors in the x- and y -directions, respectively, and k, is wave number vector magnitude, which is related with grav- itational acceleration g to frequency f, and water depth d through the linear wave dispersion relation 4m? f = gk, tanhk d (11) As used in this report, horizontal coordinates are such that x increases to the north, and y increases to the west. An IMLE result is achieved by iterating through several computational steps. At the r™ iteration, an estimate "M HED of the observed cross-spectral matrix M,,(f,) 1s computed from the previous directional distribution function estimate Diy ¢,, D oF ) by M a LU WHO) = 2, De ee ee (12) m=1 A new intermediate directional distribution function estimate De (,,9,,) is com- puted using the cross-spectral matrix of Equation 12 in the expression a / D,U,9,) = : n?-m I I i ER: 13 LD Dig pe SOG = i=1 j=l where a, is adjusted so that Equation 8 is satisfied for D; U,,9,,). A correction is found for De (f,,9,,) by first computing Chapter 3 Primary Data Analysis 11 12 D(a, Om) MG) Shs ATRL DEST (14) : D Git) and then finding a new directional distribution function estimate D_(f,,0,,) from DUR.) 2 DGEO-)| 1 < (15) yA,>9,,) sta The parameters B and y in Equation 15 control the rate of convergence of the estimator. As used by Pawka (1983), the values B = 1 and y =5 were used for all estimates discussed in this report. In each iterative loop, a convergence check €, is computed as the sum of the squares of the magnitudes of the differences of elements of the estimated cross spectrum of Equation 12 and the measured cross spectrum of Equation 1. This takes the form I I és Y, YD EGG) = AGF (16) Iteration continues as long as €, decreases between successive iterations, or until an upper limit R of iterations has been completed. In computations reported here- in, R = 30. Equations 9 to 16 form the basis of the IMLE technique. For the iteration r that satisfies the convergence check, the frequency-direction spectrum at frequen- cy f, is formed from S(f,,9,,) = SU,)D,¢,>9,,) (17) The complete frequency-direction spectrum is formed when Equations 9 through 17 are evaluated for all frequencies. An example of such a spectrum is illustrated in Figure 3. The upper graph is a three-dimensional plot of S(f,,0,,), and the lower right graph is a contour plot of the spectrum. The right panel in the three-dimensional plot is a linear graph of the discrete frequency spectrum S(f,), which is related to the frequency-direction spectrum through Equations 7 and 8 by M SU) = 0 SU,,8,) 40 (18) m=1 Chapter 3 Primary Data Analysis The left panel in the three-dimension plot is a linear graph of the direction spec- trum S(0_), which is the directional analog of the frequency spectrum. The di- rection spectrum is defined by N S(8,) = d, SU,,9,,) af (19) 1 n= Because S(0_,) represents total wave energy in each direction bin, it is a particu- larly useful function from which to derive direction-sensitive characterizing pa- rameters for a given frequency-direction spectrum as a whole. A set of such char- acterizing parameters is defined in Chapter 4. Chapter 3 Primary Data Analysis 13 14 4 Characterizing Parameters To effect a summary description of the Harvest Platform database, frequency- direction spectra are characterized with a set of parameters. These descriptors are called bulk parameters because they are derived from extremal or integral proper- ties of spectra, and so represent only part of the frequently more complicated di- rectional structure of the wind wave field. A more exhaustive treatment of direc- tional spectral structure at Harvest Platform is given by Long (1995b). For the purposes of the present report, nine parameters are used. These parameters are: characteristic wave height, peak frequency, two measures of characteristic direc- tion, two measures of directional spread, two measures of asymmetry of direction- ally distributed wave energy, and a measure of kurtosis of directional distri- butions. This chapter contains the mathematical definitions of these parameters. Wave Height, Peak Frequency, and Peak Direction Characteristic wave height H,, is defined using the conventional definition of four times the standard deviation of sea surface displacement. H,, can be defined in terms of the full frequency-direction spectrum, the frequency spectrum defined by Equation 18, or the direction spectrum defined by Equation 19. A definition that relates all of these entities is H M N N M 2 =) 3 SL ac) = )Y, OAc =D, So (20) m=1 =I) n=l _ fon) | " = = It should be noted that H_, reported herein is lower than what would be found in conventional analysis because directional computations were truncated at 0.16 Hz instead of the nominal 0.3-Hz limit for wind waves. Consequently, contributions to H,,, from high-frequency parts of wind wave spectra are not represented. Peak frequency f, is defined as the discrete frequency at which the frequency spectrum S({f,) is maximum. This definition is conventional, in that it is the usual characteristic frequency defined for nondirectional gauges. For conveni- ence, Appendix A lists both if and its inverse, peak period TG \/f,)- Chapter 4 Characterizing Parameters Peak direction 0, is defined as the direction of maximum variance density in the directional distribution associated with the peak frequency. In symbols, 0, is the discrete direction at which S G, ; 6.) is amaximum. It is interpreted as the direction of the most energetic waves at the frequency containing the greatest overall energy. Circular Moment Parameters Kuik, van Vledder, and Holthuijsen (1988) proposed a useful set of parameters that define mean wave direction, directional spread, skewness, and kurtosis based on circular moments of directional distribution functions. Though derived for di- rectional distributions at individual frequencies, the definitions can be applied to any directional distribution function. For the purposes of characterizing a frequency-direction spectrum as a whole, the direction spectrum S(0, ), as de- fined by Equation 19, is used herein because it represents total wave energy in any given direction arc. To define a directional distribution function (one that integrates to unit area) from the direction spectrum, S(8,) must be normalized by its own area. By Equation 20, this area is identically = H~ , so the appropriate directional distri- mo? bution function is D(6,) = == 5(0,) m= M5 Ap cod gli (21) mo Circular moments in terms of D(0,) adapted from definitions by Kuik, van Vledder, and Holthuijsen (1988) are M Y cos(@, - 0,)D(0,) dO (22) m=1 3 TT M n, = > sin(®, - 0,)D(6,) dO (23) m=) M m, = >, cos(20, - 20,)D(0,) dO (24) m=1 M n, = » sin(20, - 20,)D(0,) dO (25) m=1 where 6, is the mean direction defined by requiring n, = 0. With this constraint, Equation 23 can be solved to find Chapter 4 Characterizing Parameters 15 16 M > D(6,)sin®, dO _ 6, = tan }|7— M D(0,,)cosO, dO =1 (26) 3 With 6, determined by Equation 26, moments m,, m,, and n, can be computed 1? from Equations 22, 24, and 25, respectively. Kuik, van Vledder, and Holthuijsen (1988) define a measure of directional spread (herein called circular width) o as o = (2 - 2m,)!? (27) a measure of asymmetry of a directional distribution (circular skewness) Y as ene Fisp a and a measure of the flatness of a directional distribution (circular kurtosis) 6 as 6 -8m, +2m 6 - 2 (2a p2im (29) Quartile Parameters Two parameters that are modestly more intuitive than the corresponding circu- lar parameters, and are also useful for characterizing spread and asymmetry in di- rectional distribution function are the quartile spread A® and quartile asymmetry A used by Long and Oltman-Shay (1991). The concept is based on the fact that any directional distribution function integrates to unity such that an integral from the direction of minimum energy Oe (where m,,,, is the discrete direction index at which minimum energy occurs) to any arbitrary angle creates a function 1(6,,- 8) that increases monotonically from zero to an upper limit of unity. The directions at which this integral (interpolated as necessary from discrete data) has the values a = and = are the first quartile, median, and third quartile direc- tions of the directional distribution, respectively. Differences among these direc- tions then provide information about the spread and asymmetry of the distribution. Chapter 4 Characterizing Parameters Using D(0,,) as a representative directional distribution function, the integral function is mG, =, )= >, ME)B (30) I=M in where the cyclic nature of the distribution function is employed if necessary. Quartile directions satisfy Mgr = ch) = 0.25 (31) (Oars or) = 0.50 (32) and T(Oj 5, ~ 9, ) = 0.75 (33) A measure of directional spread A® is the span of the two middle quartiles iD = Opn = Dir, (34) and has the specific interpretation that it is the arc subtending the central 50 per- cent of the energy distribution. A measure of asymmetry of a distribution is the ratio of the directional width of the third quartile to that of the second quartile. By taking the natural logarithm of this ratio, a symmetric distribution has an asymmetry parameter A near zero, and that for a skewed distribution acquires a positive or negative sign if the skew- ness is toward larger or smaller angles, respectively. The asymmetry parameter is thus defined as B50, a D509, = ptt /:2, eae 2.20) 35 a5 5 (35) 50% ~25% Summary of Parameters The nine bulk parameters (H,,,, J, 0. 6,, 5, y, 6, AO, and A) defined here are useful for classifying general wind wave energy distributions. For refer- ence as an index of processed data from the 1994 collection year, these parameters are listed in Appendix A, and plotted as time series in Appendix B. Graphs in Appendix B provide an overview of the directional wave climate at Harvest Plat- Chapter 4 Characterizing Parameters 17 18 form, and specific parametric values can be determined from the listing in Appen- dix A. An evaluation of the accuracy of these parameters, relationships among these parameters, and examples of frequency-direction spectra classified by ranges of these parameters are given by Long (1995b). Chapter 4 Characterizing Parameters 5 Accessing Spectra Frequency-direction spectra computed from Harvest Platform data are cur- rently stored on electro-optical media in binary, unformatted form, and so are not “on line” in the sense of common data networks. Nonetheless, an individual inter- ested in obtaining these spectra can readily do so by communicating with the FRF via: Surface mail Chief, Field Research Facility 1261 Duck Road Kitty Hawk, NC 27949-4472 Telephone (919) 261-3511 FAX (919) 261-4432 or any of the following internet addresses: C.Long@duck.wes.army.mil C.Baron@duck.wes.army.mil W.Birkemeier@duck.wes.army.mil On request, all or part of the spectral database can be converted to 80-column ASCII format and copied either to portable magnetic tape media or to an anony- mous file transfer protocol (ftp) account that is accessible through common com- puter networks. Data will be in the form of a set of files with one spectral esti- mate per file. Files will be named HPyymmddhhmm.ASC, where yymmdd repre- sents year, month, and day, and hhmm represents hour and minute (GMT) of a collection start time from which a spectrum is estimated. For convenience, dates and times of parameter listings in Appendix A are in the yymmdd and hhmm mne- monic forms. On receipt by a user, spectral data files can be read using the format statements shown in the sample FORTRAN program listed in Appendix C. The header of the FORTRAN program listing identifies all the variables contained in a data file. For reference, Appendix D is a listing of a sample data file, and shows locations of variables within the file. Chapter 5 Accessing Spectra 1©) 20 6 Summary This is the second of a series of reports describing results from a high-resolu- tion directional wave gauge installed on the Texaco Oil Company Harvest Plat- form. The purpose of this gauge is long-term monitoring of the directional wind wave climate at a deepwater site that can be used to represent open ocean condi- tions for waves approaching the coast of southern California. This report indexes parameters of and describes a means of access to 2,320 frequency-direction spec- tral observations made during calendar year 1994. The primary intent of this report is to publicize these observations so that they can be used by researchers interested in seaward boundary conditions in coastal wave propagation models, studies of ocean wave evolution, comparison studies with locally deployed low-resolution directional wave gauges, and ground truth in remote sensing research. Improved knowledge resulting from such studies will enhance abilities to model the physics of open ocean wave processes, and the con- sequent nearshore wave climate required in coastal engineering computations as such waves propagate landward. Chapter 6 Summary References Bendat, J. S., and Piersol, A. G. (1971). Random data: Analysis and measure- ment procedures. Wiley-Interscience, New York. Davis, R. E., and Regier, L. A. (1977). “Methods for estimating directional wave spectra from multi-element arrays,” Journal of Marine Research 35, 453-77. Dean, R. G., and Dalrymple, R. A. (1984). Water wave mechanics for engineers and scientists. Prentice-Hall, Englewood Cliffs, NJ. Kuik, A. J., van Vledder, G. Ph., and Holthuijsen, L. H. (1988). “A method for the routine analysis of pitch-and-roll buoy wave data,” Journal of Physical Oceanography 18, 1020-34. Long, C. E. (1995a). “1993 annual index of wind wave directional spectra mea- sured at Harvest Platform,” Miscellaneous Paper CERC-95-6, U.S. Army En- gineer Waterways Experiment Station, Vicksburg, MS. Long, C. E. (1995b). “Directional wind wave characteristics at Harvest Plat- form,” Technical Report CERC-95-4, U.S. Army Engineer Waterways Experi- ment Station, Vicksburg, MS. Long, C. E., and Oltman-Shay, J. M. (1991). “Directional characteristics of waves in shallow water,” Technical Report CERC-91-1, U.S. Army Engineer Waterways Experiment Station, Vicksburg, MS. Monthly reports. Coastal Data Information Program, Scripps Institution of Oceanography, University of California, San Diego, CA. Pawka, S. S. (1983). “Island shadows in wave directional spectra,” Journal of Geophysical Research 88, 2579-91. Welch, P. D. (1967). “The use of fast Fourier transform for the estimation of power spectra: A method based on time averaging over short, modified periodograms,” JEEE Transactions on Audio and Electroacoustics AU-15, 70-3. References 21 fh ain , er ; a aii 4 ba Wrap) oy 1 i same ti ye Baya a: iJ Appendix A Table of Collection Times and Bulk Parameters Table A1 Collection Times and Bulk Parameters 940101 940101 940101 940101 940101 940101 SRORO =NN ee ee eee ee ey . . . Wy alg SIN uo oOoUNN & . 940102 940102 —_ —2d 5 On =n oo mae uiul =W oo YO S4arnse 940103 940103 940103 940103 940103 940103 940103 NNNN WW PP onNwVoUadoFf CONOR —O& ooooo0°o ONNANNFA oooqoo0o0°o ° es «© @ e NUUOW UW - OWWUO & 940104 940104 940104 940104 940104 yawn ny WE EUS onou cooo0o RERRR PRRRRWWE NOnNOU 940105 940105 940105 940105 940105 940105 VARKAAG 940106 940106 940106 wm oOo OWWUWW ooo Appendix A Table of Collection Times and Bulk Parameters A2 940106 940107 940107 940107 940107 940107 940108 940108 940108 940108 940108 940109 940109 940109 940109 940109 940109 940109 940110 940110 940110 940110 940110 940111 940111 940111 940111 940111 940111 940111 940112 940112 940112 940112 940112 940112 940112 940113 940113 940113 940113 940113 940113 940114 940114 940114 940114 940114 940114 940114 940115 = -—= = oooo°o NNNANN WWOwO s9 AnONN AAAKVNND ooo0°o°o agSagas NWN O oo0o00C0°0 WWE UUO Wownonwvo— oooo0o0o°o °. se «© @ VUMAUUWUUUI OOD ONUNW ooooo0°o ur kuuuw —-OOWOW ONNOUR UN BOnUWN ul ul UT Os UT UI sialeee cps aaemts fowu ANAURBKN OW OW =o SONONR=0 WO Ue = -=wW — = oo oa or . WNNWUW SS Appendix A Table of Collection Times and Bulk Parameters 940115 940115 940115 940115 940115 940115 940116 940116 940116 940116 940117 940119 940119 940119 940119 940119 940119 940120 940120 940120 940120 940120 940120 940120 nun NM OP ooooo0o°o 5 fee fa Ge ul Ov NOW oooo0o0o0°o te Se Ce ca] Os anovuou ‘Oo NWWAW PW SIRNA Ss ora W- 940121 940121 940121 940121 940121 940121 940121 NUWOODO DO FNOWUUIO na -=--=-=000 oOoOOoOCcoCcCoO°o Onn On Ofe0r o AEA EER ES =) ooooqoo0°o°o AOAnNOWWS OOAOUW UW FUR RW u-= O OWWP Ne UO HUW 940122 940122 940122 940122 940122 940122 940122 ooo-> 22 @ OWhONV coo0o00eo 6 a VRC eee ee) UNUONMNW =20---=00 -900000N WeaWwWkRnuN RRRUUUR onorwou OR RAON NNNN?-]- 940123 940123 940123 940123 940123 940123 940123 ooooo0o°o ° 8 o so P Uru UUN NoOWDUANO WWRE RSW NOUR NO NASAGKA 940124 940124 940124 940124 940124 940124 940124 YERSHSA Kn) RRRURWS Pete OD WROahNON ORONWOO Appendix A Table of Collection Times and Bulk Parameters 940125 940125 940125 940125 940125 940125 940126 940126 940126 940126 940126 940126 940126 NNNMWWWW ra ty G8 ts} fe Ca fe Nw RU SOO SCO00000 RERRRRS UNRMUANO 940127 940127 940127 940127 940127 940127 940127 ynawwwnwNy QuNnNo-=nu OANZOK—= SCO0D0000 BEcIoeisies sia eerie RRRRERA RORDAON NONQUUY RRROO-F SCARDO=0 940128 940128 940128 940128 940128 940128 940128 NNNMNNMNW eo 2 8 . Qo NO oo0o0o00 0 HFRWEWS oo0o0qo0o00 ee 2 ec « 6 VUNOAN Ru UNN OOM UI 72 55 83 84 9 2 0 8 9 9 940129 940129 940129 940129 940129 940129 940129 2 oN SaSIKESS oe NOS = 0 Pa ay eA nn —- On 5 a ee ee er SRR UUNO nNuUI = © — PP RM —= = = = oa NAAONANO Omnmnnwowvonv sd o=ao ery eo. e ao ooooo0°co ee ° NU UN UP Oo-NNFOOW 940130 940130 940130 940130 940130 940130 940130 . GS ep El Ral as nu - 3000 nNu-—- fo oo0o0oO0O00 AOnnun — = FWWUuUUNUY oooo0o0°co . 2 e@ e@ Ome aW-u sf ope Foon n — 2 2 = = =P ° . . 8 iS a oe o =) 940131 940131 940131 940131 940131 940131 940131 ONO mms CO]N === . 4 uM ku he & . 8 e@ 8 Ceranos OuUROWAN CSCOC0O000 6 ae RORQAW == . . o OWWWN Sak ORUSWEN eoo000000 . ‘ ‘ uw uw on LSNURSRE 940201 940201 940201 940201 940201 NN -—- Oo -NN-0 AnRWN Appendix A Table of Collection Times and Bulk Parameters 940201 940201 940202 940202 940202 940202 940202 940202 940202 oooo0°o°c”ce Ul & ® ® OO u— WM O&O UIO Pw DAWU @ 0 @ RODRB0e2D 940203 940203 940203 940203 940203 940203 NRARN So ESS Cad 940204 940204 940204 940204 940204 940204 940204 PP NNNNND e 8 © 8 @ @ Ooe-ONnua NN NON 940205 940205 940205 940205 940205 940205 940205 --ONnN Or 1.66 1.71 1.58 1.58 1.50 1.39 1.50 ooooqo0o0o NNNMN WW PP ° e 8 FRANNNDY 940206 940206 940206 940206 940206 940206 940206 ui NS Lv Rwe eaARkGSAa J 3 8 — = 2 a = a a ee * 0 «© «8 Fmywe hu Farkas AGRASAN RARSAAS AssIISa cies eieciteney AAaOARAADA oooooc9c;”cto NNN RONRoOL 940207 940207 940207 940207 940207 940207 - NM ° NNNMNN PY ooooo0°co oo vo aad 940208 940208 940208 940208 940208 940208 foo ao We oko} omowaoc o tO bn Ono . oooo0°o°o . ce e @ 2 == Ul Ov fe. SASS NNON NNNOND 940209 940209 940209 940209 — 2 = = OONO Appendix A Table of Collection Times and Bulk Parameters 940209 940209 940210 940210 940210 940210 940210 940211 940211 940211 940211 940211 940212 940213 940213 940213 940213 940213 940214 940214 940214 940214 940215 940215 940215 940215 CaAa onwoo 940216 940216 940216 WON onwws NW Won 940217 940217 -1" wo oN 940218 940218 940218 940218 940218 940218 . N WW SYNESAN NVYOCOWD . -ONAWO We OWA A oooo0o°o OONO-N PWRE RW 940219 940219 940219 940219 940219 940219 940219 940219 AQnaxaauuUuY NNNNNNNW WWNWWW . e S| SSN Se FNWUO Ww A-OWAWON CUDNADAO CSCOCOCC0O000O amas : O=2WOWWWD Oop a= = = = OO -~W20-0 aRuSoSane NER RRURS 5 940220 940220 940220 940220 oooo Oo fu eau NNNN OnNnN—f— Wrenn Appendix A Table of Collection Times and Bulk Parameters 940220 940220 940220 940221 940221 940221 940221 940221 940221 940221 COC0O00D0 i ooo 0-67 auunuAauU ONWRORO RRUUR RAR WRWWANO =|=NOUDAG SCOCOOC00O0D0 C20 oo te On WRUNAUR ONDOMRO 940222 940222 940222 940222 940222 940222 940222 oo0oO0O000 fFPFPrruuu NEFUUORDN ANUUUR & e 8 8 8 8 «8 @ ht SRR RL ER WN =A a oooO0O000 UP AON f= ui WP UTP © 940223 940223 940223 940223 940223 940223 940223 oo0o00000 LSS ee ee er a WOONUUU AAOAANNN ei eien se) wiemwer me WehuUuUUu-=Oo UnkUuUeuUA O00 0000 ArPNAA-f WOoOwouue 940224 940224 940224 940224 940224 940225 940225 940225 940226 940226 940226 940226 940226 ooooo on o QBaIRR oouws NAN ON WN = SININS NUO OO ANANS 940227 940227 940227 940227 940227 ecoooo AaAaAD FS2SR ven ouw WONnNOFfF ON-WW oOONNO 940228 940228 940228 940228 940228 940228 ooo0o0o°o ooo0o°o OoaoOowonon OOWDd RHRAAaL OnNFRWO ooun hy rv 940301 940301 940301 Pt at WWW EW WRWWW NOM own Appendix A Table of Collection Times and Bulk Parameters 940301 940301 940301 940301 940302 940302 940302 940302 940302 940302 940303 940303 940303 940303 940303 940303 940304 940304 940304 940304 940304 940304 940304 9oO000000 e ce 0 « e® e@ COaouuumnun rs -0o0oOurOoOw 940305 940305 940305 940305 940305 ooo0o°o a ano 940306 940306 940306 940306 940306 940306 940306 oo0o0o0O000 . © 8 « o auraunu NwWWOUDON 940307 940307 940307 940308 940308 940308 940308 940308 940308 940308 WOaUnHNHXMRM ODDD000 ‘ on = AARAKONMO NANNNANN ONRWWOAN NVWOONOSH . — 3 2 3 3 = ooooo0o°o : c ; AQnuumauwu NPONSWS Feuuruu yo eo 8 NOWN OND UD ON OOO eco0000O Re) Aono BOF 940309 940309 940309 940309 940309 940309 940309 =co00000 S oa 5 =-0002ROR0 URRONOS na QIIse SSE —_2 —) 2. 2 ooooo0°o°o RUWUWWP ES Paneer ew OWOONA WwW oooo0o0o°o co 0,56 RF - oONkWW OUUOONW Appendix A Table of Collection Times and Bulk Parameters Table A1 (Continued) 940310 940310 940310 940310 940310 940310 940311 940311 940311 940311 940311 940312 940312 940312 940313 940313 940313 940313 940313 940313 Oininin> ‘9 uum eu [o-) coO0000 SESCEe CReURT ESO 2 © OO ReAINNS 940314 940314 940314 940314 940314 940314 940314 oo0o0c0000 e ce e® o «6 ooa fe} N2ARSaaa -]2.-2NNh =p = 2 © 8 28@ 8 2 » oo- 000 Vn UOW oO NNNNN)P Pp -NWOUWO UO NW—Pp 940315 940315 940315 940315 940315 940315 940315 e-uoVu . ononao Se ee ee ey . ooOO0oO0000 O- te on oo oo oon @ NNNNN)PD PP AEE OSES ENIOO UU WU NeRo OR 940316 940316 940316 940316 940316 940316 940316 RAR DOA NUOF-]|0® ooooo0o0°o DUAN ROUSIONN WUW WW 020>Nm0 RRBOOSON 940317 940317 940317 940317 940317 940317 e2aGNek WWOoOOW VO UU UI 940318 940318 940318 940318 940318 VNAANW ANWWAOW DOKRAHR BARAAAOG VEXSS SoRWuY uo oO = UUM AN oa NN NM Dose mete RRR RO areuu Appendix A Table of Collection Times and Bulk Parameters Table A1 (Continued) 940319 940319 940319 940319 940319 940319 940319 NNMNMN >= Bale a3 S ONNUOUSD eo000c000 LUuuuwn ou O-nNoORNO NUNN NN TP OW-]0uUMmuW ONnNWAWUS NNOKBRUD Gao ooo ORNNNNR WNOBRoOUW eoo000000 onu Sea N UIWNW NU 940320 940320 940320 940320 940320 940320 940320 URRERR RAR WONAMNW NMNMWWWW UONNUUI= UO ONAN DO oo0o00000 NNMNN PP Pw C0) OF On OF b FAW OW BFNWOMND NVERhonon OONNOVI o000000 es «8 e@ . es UAWRANS ONDWDO-W 940321 940321 940321 940321 940321 940321 940321 Re) yeoareu VaASaANSS oooo0o0°oo°o annuum ku k —- NMNWMN PN PP OUWRORD R= 600209 oooo0o°oo°o QOooees NARRRUUY SRON>D ON 940322 940322 940322 940322 940322 940323 940323 940323 940323 940323 940323 940323 940324 940324 940324 940324 940324 940324 940324 om>NouUNN ReagSsan 2242 rome) Bannan 940325 940325 940325 940325 940325 940325 940325 NNMNWWW PD OOS ps 0. O20 20 oo IRSRSIa 940326 940326 940326 940326 940326 940326 WRWWNP . 8 «© 8 NOOWWSD UUIN N&O Appendix A Table of Collection Times and Bulk Parameters 940327 940327 940328 940328 940328 940328 940328 940328 o-oo) SNWIENVA OoNURSN 940329 940329 940329 940329 940329 940329 940329 oo 00000 N N co RARIASS NNNNND PP AFOUNN OA OMOWUWO 940330 940330 940330 940330 940330 940330 940330 eCO000000 VUUAKRUUAD WNO>=0D00OW AANNADOO On RORN WWW WNARNS ON NONMNOODO = 940331 940331 940331 940331 940331 940331 940331 © 8 2 «8 @ 2 0 8 Salons Se) —-Anwun AARRDONA AOnNNOOO 2 2 2. 0. 9. 7 7 G 8 8 5 3 3 3 ER ON FON VUN © oo0o0o0o0°0 es 8 8 e«@ «8 6 VUMuuu UU UUOONUQuU Uru 1 1 1 1 ° 940401 940401 940401 940401 940401 940401 Oo ui NNONMNMNND SEaSRS — —) —-3 —3d —3 —d DONWWW aman cle stale UUOAR A N-=-0F® ONWINN 940402 940402 940402 940402 940402 940402 . COOR ARABAAH BAAKAD OURNNA KOUUUUY WWWWW =WNRUN OEWW ve @2 UU SASSO vu ui ul ul Ul OWN wDnOWDOUR 940403 940403 940403 940403 940403 940403 940403 e an 2 8 fray CA Ga Rt G2 WW N20 > NNNMWWW Or OL OL OF OL OL awmwo-oo°o ae - VIiANO 2 2 ooo or NNNW WWWWDnnuo QING wes -FOOn RRRURUS oe 8 940404 940404 940404 940404 ° ce « 6 ul OQ © © Bonn NNN PY — = a = Appendix A Table of Collection Times and Bulk Parameters A12 940404 940404 940404 940405 940405 940405 940405 940405 940405 940406 940406 940406 940406 940406 940406 940406 940407 940407 940407 940407 940407 940407 940407 940408 940408 940408 940408 940408 940408 940408 940409 940409 940409 940409 940409 940409 940409 940410 940410 940410 940410 940410 940410 940410 940411 940411 940411 940411 940411 940411 940411 940412 NNMNNNN PP 2 8 8 © © os e@ NNNMNN ND Pw e e EWNN WO ONFOS MN . e SFRNNW NY ON WOLD WeesRay BOBAAN SO00000 uwmuut ut ut ut MeBoyng fo Oooworuon AORNOSFX WREWWUU DBOWWNou ° WRONWO— OSOONADOWND o0o00O0000 Aunnnunu ° NONWMW oOooO0O0000 oooo0o0°0o . Pe mer) NOUR AWW OmBDNMNWONS Fis] San ete fea fe NWW PW OOO 52 OO VO UU = =O NOW HRNMEO NOMA i oooo0o0o°o . eS Tee OOP FONO-& ooooo0°co VON OO NTO. uo . oooqo0o0o0o0°o . . 8 2© «8 @ uuu uuu ut NN AWN O ooooo0o0o°o . 28 «© « Aannunvw NSASRFa Appendix A Table of Collection Times and Bulk Parameters 940412 940412 940412 940412 940412 940412 AAaAARDA Pe ee « Saga NUS 940413, 940413 940413 940413 940413 940413 940413 oN ONNNNP PP NOAARDDOIOO oO000000 A AS CoS AUK 940414 940414 940414 940414 940414 en Onmnnonrn ° 8 8 «© @ NOONO 940415 940415 940415 940415 940415 940415 = =o oo ooooUvuo NNNNNN ooo0o0o0°o 2OYYRHO OW--Ano 940416 940416 940416 940416 940416 940416 o 8 @ WWNWW WANWUO AOuoanwwuou oOOoO0CO0O0°0 ° e 940417 940417 940417 940417 940417 eRA2SY AdSadea oooo°o ° e P 940418 940418 940418 940418 940418 NOOOWDO OWNWO . —= = 2 a Onown NONBWO ooo0o°o 940419 940419 940419 940419 NNNW —= 3 So 2 8 8 ooon 940420 940420 940420 940420 940420 940420 AAAANA N NNNNON 940421 on Appendix A Table of Collection Times and Bulk Parameters Table A1 (Continued) 940421 940421 940421 940421 940421 940421 NNNADRS ARARUUY Sau DRRKON = ON 940422 940422 940422 940422 940422 940422 940422 CSCOD0C0O0O”0 URE RUS CORANO® 940423 940423 940423 940423 940423 940423 940423 oo0o0000 VUnuuU er ef wo uUIN UU oO 940424 940424 940424 940424 940424 940424 940424 oo 00000 ° os © «© «© «8 e uuu uu ut DOawWNnfLN — 940425 940425 940425 940425 940425 940425 940425 940425 SYNYSO vo NTANSNSON G PS oy te] VrNOU OW NOOR ANON : NNNMNNN NY OWOOWWOUO . ° oOoO0O0O0000 URARARaAUW NOOWW OW UI URW PU . es 8 8 ooooo0o0°co e . WOAaONUOWOW 940426 940426 940426 940426 940426 940426 940426 WWEWW EW SOowmvovdn ANWWUTOR = oooo0o0°o WU es uu sfrOoOUOR-o”o 940427 940427 940427 940427 940427 940427 940428 940428 940428 940429 Appendix A Table of Collection Times and Bulk Parameters Table A1 (Continued) 940429 940429 940429 940429 940429 o0000 aOnNnN N SANAS NNW W Sal Ray S =WRNM A 940430 940430 940430 940430 940430 940430 940430 =O NWWNAOAOHO © e 8 8 «© «© 2 ooo0o0oo0o°o ABUAWA A e uu oforuuN WED OR a0 of wun ui WWNEWNWD —= = = 940501 940501 940501 940501 940501 940501 = -= = NOMN OPM ONOONO 940502 940502 940502 940502 940502 940502 anror RONNNDA oooo0o0o°o * © «© «© @ SCNSASR 940503 940503 940503 940503 940503 940503 Uo 8. 8. 8. 7. 6. Ue 7. 6. 6. 10. 9. NNGQOOW oo}-o00 000 oO 940504 oa * a 940505 = uw Oo 940506 940506 940506 940506 940506 — | 3 —3 —2 eo 8 8 VIW & TASSS —- 2 = WouUuUuYU NOONNNN ANAAD 940507 940507 940507 940507 940507 940507 940507 Annauuwnu NN-OANN SSNARGS 28 ‘ = = 2 a a oa a 30 © © 0 O00 0 ooooo0o°o a 940508 940508 940508 940508 940508 940508 940508 Pata aa Gs SiGe = UY oo omic} UNM OAa>N -_= 2 = OANNNANN ooooo0o0oo PWRWWWW Ww PY oLe OL 8 Tore 6 NOONUWUI B200NOO Appendix A Table of Collection Times and Bulk Parameters A15 940509 940509 940509 940509 940509 940509 940509 oO0O00000 NARADAAQAU ONOUW— Oo WWW NEP WANN OO NOWAOMN ooO00000 NUOUUIT WeWN FOU 940510 940510 940510 940510 940510 940510 940510 ooOoO0O0O0°0 AaOUUUNU® NOWWF OPM FUP ROR HS MOonno worn UN OA Fr OTfm ooooqo0o0°oo ROnR-2= fF 940511 940511 940511 940511 940511 nN MN W-FORND® oo0o0o0°0 ARAAaN Wor aN WNWRWW Oo UIUIOW WoOoOnnr 9ao0000 . ONOND 940512 940512 940512 940512 940512 940512 940512 fu UUW Randous NNNMNNMN PY ANNO WW AnRoOoWOOan wnmnnwmwwoea oe * ondonmnnNnnhy oooo0o0o°o an AAAAISKs UNWWNs eos © 8 8 « e@ RAYS RS A ONY ann oOoO00000 . 8 «© «8 e 940513 940513 940513 940513 940513 940513 ARAN > 5 NNONNN -— == OOnNvoO0 DO WWWWW fFuyun-wo 940514 940514 940514 NO 0 NABANNN ONN ooo uuu 940515 940515 940515 940515 940515 940515 940515 — 2 = a a a an OWr ONNNN AWWUOOO Oo 23D Oo Nm NM & Oo — 2 oo ooo UUNBARRU [- UINMWWO 940516 940516 940516 940516 940516 . u ui - 2 ao . NOOOO = r=) NN NN 940517 940517 940518 940518 Le) Appendix A Table of Collection Times and Bulk Parameters 940519 940519 940519 940519 940519 940519 940519 = 2 = a= = = WWWWoU do AAAaAAaAaN oo0o0000 * ° e e « « RAAOORnAA oooonuou SFENWE ES Aauaruhk & SNOW an RESSuadS 940520 940520 940520 940520 940520 940520 940520 940520 e ANVNAKRAAK ss DRAWWANAY ooooo0o0°co SenadPaN nae Oonrureo RWW . WWORANN A WRONNOU= 940521 940521 940521 940521 940521 940521 940521 940521 eC0000000 o AAAAN AIRGIISS RRRUUR RS oOWNohUU = NENURMANS SCO000000 ->WONFNNW ONODO?-WOO- NNNNNNNN oo0oOOoOno00co 940522 940522 Noo 0 OBNAABMAWO 940522 940522 940522 940522 940522 940522 N=2UNDOUN OOO -]-WAD0 DO oooooo0°0°o « . op-ooo°0o0°co SFNNONN OW 940523 940523 940523 940523 HAAN ONXONNNNN oo o- WWW WWWEWW PU e e oooo . ce 28 @ ° . oo === We WRN on NN Oo. oO [2 Onn orn? ° N Ula = Oano 940524 940524 940524 940524 940524 940524 940524 — = = OODOWW OWWOWWUI SRBASSS UVUUUIN UTR & ee eo 8 NWNONNO N-ONN UI = NODOBAAR ARAB BONDCOOO ooooo°co ° . 8 «© « e@ NNNNNN — 2 oe 8 940525 940525 940525 940525 940525 oO an N Pare SAASa WU N2SR2 -_= — mae (=) N = ; e P ° OAWN A onur—= RRR OoOo--0 940526 940526 940526 MOO 3S —_2 — => OWOo Sinioes N NON NNSoo Ne oo ee e@ Ww NN SER 940527 in) (=) oO Appendix A Table of Collection Times and Bulk Parameters A17 940528 940528 940528 940528 940528 940529 940529 940529 940529 ANON Uw oO VIN OW NSS Bdas 940530 940530 940530 940530 940530 940530 940530 NV>OONDER DaNWoOuR SOOD DMEM NANNN DOKURRS yeu SGNBOANS URRUONO SGORUARGL NMP = = = = = eo 8 8 — = = ooro 940531 940531 940531 940531 = 32 = = N NO ARR 940601 940601 940601 940601 e oun oo NNNG&OS AaAaoan pe ACS oo-NnN ooo-- . . oo0o000 . ee ax} ES teat Sy 940601 940602 940602 940602 940602 940602 940602 940602 ANAKKERE DAOOUAoOH a ONE AARNNARO COCO000 RRRRRRS DWORWURU SPO000000 mes smaiiatestie WRWu QANENAN 940603 940603 940603 940603 940603 940603 NNN © © © OCOONNN 940604 940604 940604 940604 940604 940604 940604 UUABUUU OANW RAAONAN NNNNOAO ooooo0o°o AOwW-OWNW ooo0o0o0c°o a RA tA ou 940605 940605 940605 940605 940605 940605 940605 . . . OAWnWAAADN . . NNNMNMN AD cecoo0o0000 anuuuuu OWONNNNY ---=-=2000 . ' e fen Owe ovo ON-]NNNU Appendix A Table of Collection Times and Bulk Parameters 940606 940606 940606 940606 940606 940606 940606 oo o eBSo tats NOOOWDO DO ONNOONN oooo0o0o°o wv a 2ERBAVS oo0o0o000 -O- UWS NONN OOO 940607 940607 940607 940607 940607 940607 940607 WoO «oe WWM NDP eLiOTeeee ree oo we ARSSRASD 0MMMMMO® Nonwnonn CODD 000 RRP RHRS WUBRRNO URUURUe lCM>- ONO AROWON = 940608 940608 940608 940608 940608 940608 940608 yyw nnwnw “LMWwNkonw VIN WO — fo 00MM0MM 0 rc Cees NN00 0 ON oOo0O00000 RUURREW WAROKHKAU DBONNU= = UPUAOUU NUWEROXD MOO => AUD 940609 940609 940609 940609 940609 940609 onnwonvo vo eNONMN RRR ORO OaND WN 940610 940610 940610 940610 940610 940610 ° ee N- On 8. 8. 8. 8. 8. 8. 8. 8. 8 3 2 3 —= = = NWNWWW eo 8 8 8 940611 940611 940611 940611 940611 940611 940611 — 2 oo ooo UONNNNW AnNODOOOOA nonnon7nnsd ooooo0°oo © 8 8 «© «© @ . es fo-Wo- Iie -de-de-} GaRakSsa ad —-NNNN PNP PP Yi oork}-]f Lo.) 940612 940612 940612 940612 940612 940612 940612 ee NO . NW —= 3 2 a = NNNNOO oonuuuu oa NO oso RIAVE WAP PSNNN onunhro ooooo0oo0°o°o d- 07 62 6 FWWNPD . ee v= OO MN 2 re be A al NSE 940613 940613 940613 940613 940613 940613 CAAANN Appendix A Table of Collection Times and Bulk Parameters A19 940613 940614 940614 940614 940614 940614 940614 940614 WNMNNN PD G02 ob On a OF 5 ONWW = = = SOON FONN oowwwwo NN OONNN ooooo°coe RRRRRRSE WAUN UU oO AAaONNOOO ONFWNN LS ONUROF DA oooo0o0°o°o Oe itm © o WOoOhhkENN NOM UT UIWWW 940615 940615 940615 940615 940615 940615 940615 Onoeododo = NNNWWWW QUNNORW SCOOWON~O NNNNNNN SCO0D0C0O00 RRRRRRS WN >2O>200 AXNNN®wO NNR ORWW ORNOON — SCO00000 aE Sess NWN RU NUWAN Uo —- = = 940616 940616 940616 940616 940616 940616 940616 NN NNN PY ops GOs Oo OF. pe. Op - WU ouuWwo-- wo NN@OOOOO OO OO. OOF O Aannn dv oooo0o0°oo RRR AOaouNWnu & UANwOOoOQU ONWN WSO NS WNNMADW 940617 940617 940617 940617 940617 940617 940617 N=2NN2 eee es 2002000 ANaAaNANS ©) © © © © & © NNMNMN NP PP WPo0NDON SORNONEOD NNNONOU ON >@O>N > AUNNAAaAWU 940618 940618 940618 940618 940618 940618 940618 ODODONWN NY NOON O UIT ° ee NnNONO ODO —= 2 ao WOnN> oowoe . NNNANWU P2WNUNO & - =| NNNNND O2oo 2-3 = UI UT UT UT ON NY O60 sits 5 940619 940619 940619 940619 940619 940619 940619 BEwyeas ass mOmnwnwowewa mOonnwnwowan . . 8 e NMNNNNWWW = = 2 = a a . e WEWOW RO SANUNNA NONNNNN . 8 e 940620 940620 940620 940620 940620 940620 940620 OF 6 iF oo-o 0 6 oon ARAARAARA SOP OPOROROROIC anuvunNn arr ee ee ee ee) ARUKRBONW RS — = = = = = = uu uu Ulu ut ooooo°o°co Ga b= on 0a On 6 Wh UW O . 0 0 940621 940621 NO -0 on QW AF 2° RS A20 Appendix A Table of Collection Times and Bulk Parameters Table A1 (Continued) 940621 940621 940621 940621 940621 Ee oooon ASa 39 940622 940622 940622 940622 940622 940622 NONNNN Onoannn oOoO0oa0o0o° 0o0n0nwwwa o fF#ROwO- Oo 940623 940623 940623 940623 940623 940623 940623 NNNONNN DAAVARR ooooo0°oo QANNAAO ONNODODO— WYO> ou: NISRRON 940624 940624 940624 940624 940624 940624 Yoonyy e Ona rr wonwoanon NNMNN OP SNM = = = 940625 940625 940625 940625 940625 940625 940625 02 Co © © © 0 onovno0000 SCOCDD0O00 VuMuuUu UU WNERWUAN > N-=NnNNNND cpap ebalte metevee siecte WASReepy ONTO SNA SCODC0O00 WORKULRST NOUR@®RO 940626 940626 940626 940626 940626 940626 940626 ° 2 8 6 ODESGHON onnwononvosd oooo0o0o00 °° ° . NNNMNMN NPD PP uO RWNOO -nonufOU NOOONMNWOA FWOoOkONN oo 0O0000 ° e WWNMWWPU NUOWB KRW 940627 940627 940627 940627 940627 940627 ee nwo . OAnNannr NN ON OO [o-oo -Ie-lo-de-Jao-} Aaa uso rw uM ke eu oooo0°co g Un 940628 940628 940628 940628 940628 940628 oigielae NARBOOX ‘ aouw Co0D a= UMN OUW anu oooo°oo . 8 « @ an oo 940629 940629 On AAOANNN NO Appendix A Table of Collection Times and Bulk Parameters A21 940629 940629 940629 940629 940630 940630 940630 940630 940630 940630 940630 [odo -lo-e-le-lo-Je-} o0ow0ow0onv0owo nv 940701 940701 940701 940701 940701 Nm OOO 940702 940702 940702 940702 OoOOn (o-oo. Jere) . 8 e 60 G07 6 onnoao N@Y%o eels oo0o°o QRS f) © © 0 940703 940703 940703 940703 940703 -_ 3 — —) 2 ARAAA onnwO— wouNNn BURNT ON No wononn ooo0o°o sisiersk RAAVAR ye SSS B3 WWR RE 940704 940704 940704 940704 940704 940704 940704 x Nm oe . ee ee . ONNOF= . ONN?N . . NNNOSO NNN ONNSO ° WHERE REWER peer Py ° NPNUWOW oooo0°o°o°o Tmo © ooo - = = = oP . ea NN a= = a= = . . . . SS Slates] Sd Fano-o00 CoO0000°0 . . . UNONWO— 940705 940705 940705 940705 940705 ASAG RaAVSSy avo 00000 0oo0nownonon e MRoOonvn ENUNNNW ee ey eieremue ° . UO ui an ouUuI es = ooo0o°o To. oo Oo op--00 . i) NNN NP se onunru NAOOW 940706 940706 940706 940706 940706 940706 . = = oovooosn «ee « «© « e NNN . . ano oooo0°oo NNNWDYW RuURURS noouw ALSkana OC00000 . BOWING NNNNAN : vw = f=) PARSE OW 940707 940707 940707 940707 940707 940707 940707 RASS 8 6 ee —-OW ONADAUOO . UENM=Bo o-oo 90 0S BLRAISS @ ‘0 Naas — == wooo0o0onnd oooocoo0o°o PPNN NN NNWWS BU . ° . Ww [o-oo] [e-em e) N NNANANNAWN Noe a Ww 940708 ‘oO A22 Appendix A Table of Collection Times and Bulk Parameters 940708 940708 940708 940708 940708 940708 940709 940709 940709 940709 940709 940709 940710 940710 940710 940711 940711 940711 940711 940711 OO- == ul > NOuks 940712 940712 940712 940712 940712 940712 Valiyty SS N Wu oO WWWWW 940713 940713 940713 940713 940713 940713 — © NNNNN SO ooon7ov7o nso ooo0o0°o Nsaxia RWW oO on ww aRxaa 940714 940714 940714 940714 940714 940714 C00000 o.oo a om 6 no on VESANaA RRRWERW Ure NAN NNOO- ° 8 © « 8 eo 940715 940715 940715 940715 940715 940715 ee 28 8 WEao fFoou al 8. 8. 8. 8. 8. 8. 8. 9. 9. 9 9 9. 9 8 8 9 9 9 9 9 9 9. 0 0 oooo0o° UU eS WW -= = = Oo 940716 940716 940716 940716 940716 940716 =o ononowvooo y ARWE= UAKWA O NSO NANA NANNNNN NNN ON RRASRG FVSIANF oooo°0o°o aw NNMWWW . 8 8 OPA ORS 940717 ro a Appendix A Table of Collection Times and Bulk Parameters A23 940717 940718 940718 940718 940718 940718 940718 940718 Oonmnwwoewsd 00000 0N oooo0o0oo ooonownonvo OnNNOUDO— 940719 940719 940719 940719 940719 940720 940720 940720 940720 940720 940720 940721 940721 940721 940721 940721 Foon oooo0o°o o SxNyWaa 940721 940722 940722 940722 940722 940722 940722 oooo0o°o . D oammn 940723 940723 940723 940723 940723 940723 940723 ooooo°c;oe Anns PNNNNN PV © 8 8 8 8 «8 @ N- OWOWOD FWOOkO SF 940724 940724 940724 940724 940724 940724 940724 . . 8 8 8 e@ NABOANAN ooooo°coe . e 8 «© e [o-oo oh. ok oh. ode] OaUNMN AC hw o> = = oa oo oe ee Ww Vinodst 940725 940725 940725 940725 940725 940725 940725 ° er) aooaowu . . e ARAAAADA AWWWOW SO ie oo. 0-5 eo. NNANNN PY NNNN NPY oor eicn ooooo0°co . 8 « @ oo oOo 0 © VRRRASS A24 Appendix A Table of Collection Times and Bulk Parameters Table A1 (Continued) 940726 940726 940726 940726 940726 940726 940726 SaAlS Swiss Nm -oOouvuvono NARADARAO OAONNNNl oOoOoO0O0000 OOO — = = = . 8 8 8 8 «8 @ -UOUWW uk WUUOO 940727 940727 940727 940727 940727 940727 940727 Om On On Os Ob Os 0 ON Coon NOONAN — TM >= = = = = = ONONNON NANAAN A SCO00000 UARKRUBRUUN DRWOORON ULUAUAD WRUNURN W2o00000 CO0D000O NAW2O=N DDROMDDO 940728 940728 940728 940728 940728 940728 940728 5 Ss ra ONNYNARHR SAaAaSS (oo Mo Me Me REN Mo NM MMM PM O P uum uu ul & oO ENONO®— ofS uUud NW 940729 940729 940729 940729 940729 940729 940729 SSREARSE es e@ NNNANMN &® 71 7 6 5 2 8 3 CO00000. -=-->--3NnNnPp oonuWu RQekanaae ReRRUuUUU NOWaWoO - 0O0W Oo 5 5 5 -3 3 940730 940730 940730 940730 940730 940730 VAS NAA wo - NM Saiasce ui WN OO * ° SWERWEWG e ° e -NNOOSND e- FRNOW NOARnNN oooo0o° ° 8 8 6 @ Ne Nw-NNY 2 28 © 8 e@ @ 940731 940731 940731 940731 oooo On On.0s- 0 NSIS NN es @ 8 «8 NONN ONNO WWW ee 8 OWnU NOQUW Soleo re.) oe e NOODO 940801 940801 940801 940801 940801 940801 940801 3ERRNWAR Ons e . e8 8 28 DAAKKWWW S ey NMNNMNNA AO ooooo°”oe UUORUWO RO=NNNO NOW>WNW OCRAWWNAO 940802 940802 940802 940802 940802 940802 940802 ee ooooo0°co . 8 ee OOO RARFIAS OCARKARAARHK ¢ ESTER ED SS Ber AWWS WWHRE RW WWWNWW PW NOWOO— 0 ~1 9 ¢ GBRAARe NNNNNNG& Appendix A Table of Collection Times and Bulk Parameters A25 Table A1 (Continued) 940803 940803 940803 940803 940803 940803 940803 ov olavauaro> Aaannno NonaNM= 0 SAGaAKaAR NWUF DMM nApm-ONUWO 940804 940804 940804 940804 940804 940804 940804 =->--0007n WONNOWU . NARBAAN A CO00C0O0O0 UIUT UT OO OO WWwWOUODhM NMNNMNMNND PY Ne UWUA RONAAWWN . ounro-o -NASFN OOO OWONnNR- On 940805 940805 940805 940805 940805 940805 940805 ° . ° e ° ° NNONNNN aoouuwnruuw DBONOWOOO ONNNNON —= = = = = = = OONON OO FOr - OND NNONMNN PY ooO0O0O000 ° Py ° LPuUMUMuUUUI woe UUW WP NNN WP PP Pw . e 8 —-UDBoonf LU ae Se onuoouvu-p-o ooO0O0000 . ee 8 «8 P2WUW UI UP NWON UNM 940806 940806 940806 940806 940806 940806 940806 ROW onunw 2 oo oo . . . anunuwn ui 0o0o0wwowan NN ON ONNY ooo0o0o0°0o0 OWUO >] OW N—-OWOfOfF UAAAAUA aS FWNNO oO oooo0o0°o P) Par eran bray AF VO GS 6 63 SS uw OrOs Ou Ox Ow wn WWWWW PP NN PAW 940807 940807 940807 940807 940807 940807 940807 TSE bs ono ORO UKKAANN nNA2SOSON Si O00000 0 oooo0o9°”o See Sees ARARAAHR NW UT UT oO UI Oo NVNWWW AP ON aan PIzeovse =N 2350 SC000000 ANAAKRRER WONBN=>=N 940808 940808 940808 940808 . 5 5 6 EVES ooocn foo -Mo- Moe Me-die-) o-oo O oO RASS uERTs 5 - OO oooo°o . eo oe On WwW oooo ‘ . onmnmn 940809 940809 940809 940809 940809 940809 aon NNOOWOO AaOnnn vo ooo0o0o°o i On de 0. OL oO ARAAARDR NWO OA URES coo 0 0.5 fA KS? feed Od AIS 1 ooooo0o°o NN -ONN FuUUIe ay WN @ 940810 940810 940810 940810 940810 940810 NONONN Ova G oOnono0o ooooo°oeo eo oo NN SRASSS on 940811 A26 Appendix A Table of Collection Times and Bulk Parameters Table A1 (Continued) 940811 940811 940811 940811 940812 940812 940812 NNN Aaa 940813 940813 940813 940813 940813 NNNNN COAKD 940814 940814 940814 940814 940814 NWNOO OnOnn 940815 940815 940815 940815 940815 940815 oooo0o°o ee EON SRER RATS ans wR oOoOnOanoO 940816 940816 940816 940816 NN OP oo0o°o oonvui D00DMN wOD- 940817 940817 940817 940817 940817 940817 RUAWWO . Se = oa UI oO 940829 940829 940829 940829 940829 A28 Appendix A Table of Collection Times and Bulk Parameters Table A1 (Continued) 940829 940830 940830 940830 940830 940830 940830 940830 P- UNORKD FL NOOOWON es © e® 8 «8 @ ANNNNN A oOo0O00000 i Oo. Of Of-0.o 5 8 CS aA | —- OWON © YYSUYeU 940831 940831 940831 940831 940831 ~7nwnwwo . 8 e ononnnr 940901 940901 940901 940901 940901 940901 940901 AANSN®O ooooo0o°o ©. OOO ON OYINWNO YS WNANNW Pnhreurk Pp COU > WWWWRW Ss -— 940902 940902 940902 940902 940902 Non vo no Aaanon sd ooo0oo es «© «© e an na SPARS UUUWIU SW SRVEH 940903, 940903 940903 940903 940903 940903 940903, UUA~- YoRIIs NNNN@ O&O onwowae COAAaANNN CO000000 Aoanannuuwuw OuUuUNON DO uuu --NFONN FOWDUR ER an Oo 940904 940904 940904 940904 NNNN ee 6 8 ooo°o 2 8 «8 e@ AAA Nh UI O © 940905 940905 940905 940905 940905 940905 Raa LS oo0o0o00o GA ees NNONN NNNNNN OOOO ooo0o0c°o Sie soo. s2Rndd 940906 940906 940906 940906 940906 & oooo°o So OOO sO © © SaSan Oop So aS NFO 940907 940907 940907 940907 == = Wuo oOo 0000 0 anusd ooo°o © 8 « e 0 0 0 0 OWN WwW oooo ° es « e . WERE O OW on—-" Appendix A Table of Collection Times and Bulk Parameters A29 940907 940907 ee uu No 940908 940908 940908 940908 940908 940908 940908 NONNNOO oo0o0000 0o0o00ow0owsd oO OCONUA RW NNNN-NY -P-NOAMWO OuUoOO-]WO 940909 940909 940909 940909 940909 940909 940909 940909 KUSINAS® ulco & © NNNOAOQAAO OCOOOAaONNNN oo0o0oO0CO0C00 WE O URW PP An] -uUudoary Ope n- UDA = 940910 940910 940910 940910 940910 940910 940910 940910 BDoOannnnnn ° 8 8 8 « uw uu ut ut ut VAUUAN OOO NNNN WD = er er eer ee er OnNFOWOO- oO AOUNNONOW NNNNNNND CO0000000 YIN AAAKS RORwMOARU OW = NNER OO SCO0O000O0C0O o.oo oO NESWREWNOVUI 940911 940911 940911 940911 940911 940911 940911 aN NSN ANDOONDA ooooo0°co eee ess aonuuuuu Ui TiO 0 0 WO seiner UNM CSNS NENARUG 940912 940912 940912 940912 940912 940912 940912 940912 . . oe . aon —WOa OSOROARARAAD oo00o00000 . Py ee ARRAN ARAA NUWOM OWW NANNAWAAN— WWERWW . . . £5 fa} eA RB Ge nN NANKAKKKHR Siedeheierinraisc erate CO2245-00 SG. 5 ONNNNODOD 940913 940913 940913 940913 940913 940913 940913 940913 ooo Oaon-do0-WN — 3) 3 23 3 = 2d uiu1 ui ut ul Oo ON Sere oo cove ong DARAKHR KRARKKKRUUA ooooo0o0o°co oje-oo00o--0 Soe ee oo. QNORBAASH uns WRWWNWUW OROOWNWO 940914 940914 940914 940914 940914 aesR6& —= = = = = WWWWW -oOo-0°0 NO WWW ws on SUR A30 Appendix A Table of Collection Times and Bulk Parameters Table A1 (Continued) 940914 940914 940914 940915 940915 940915 940915 940915 940915 940915 ooooo°”o ome fon) SRSRGNa Add NNNMWWW Urn oOrOWO OP WWoORf 940916 940916 940916 940916 940916 940916 940916 940916 NNNNOOOGW NUUUEwoN NUNNWWUo WWW WP PP oo: Oleg oO . VW OeNnNuUuU LU Woe ae CoC a lo -) oo0qo00O0C00 om of oO ° OODONNNW 940917 940917 940917 940917 940917 940917 940917 940917 ASSANASAS ANSSZLAK WWW Oo 0NO ARANONADO WNNNWWWW ahs sNeSeRaCiaac stale UMONE.-2OnNM UNDAONON oo0o0O0O000 . . 940918 940918 940918 940918 940918 940918 940918 ooooo0°co RIGARFS TBoSNRLRS 940919 940919 940919 940919 940919 940919 VN EW WWW RRW ooo0o0°o e 8 e uw on N SARA -Anun sf WaAOA—o 940920 940920 940920 940920 940920 ooo Roe) oooo°o ee oe oo QUO AFSSR oooo°o Sea seetimtoners hOKROR QRNSO 940921 940921 940921 940921 940921 940921 940921 eo 8 @ POF OIRO [e-) VN F#oonvon ‘ e 8 68 8 anooouoour WOoOURKON & ° FAD as eco0o000o Mo =OC00000 : s 5 N NNNNNANN NAWAWN ooooo0°c°o moe eo WRASVAAG Ct ko) Ww WReuhkuuU 940922 oO i=) ° a 7 oo Appendix A Table of Collection Times and Bulk Parameters A31 940922 940922 940923 940923 940923 940923 940924 940925 940925 940925 940925 940925 940925 ono oo0o000 Onn -0 ea fp Se CISC NO 940926 940926 940926 940926 940926 940926 ooo000 2 ]09 7 03), 03103503 NOOO NO 940927 940927 940927 940927 940927 940927 940927 N-N- NN . ooo-0-0 O02 02 OF O06 aouowmnovovoa O00 OWUI= © ° VUOOOMN A oun —-UOW 940928 940928 940928 940928 940928 940928 oooo0o°o Ooowwn d oWUUI UI = N-NNN PY SiSiowshene ui anwooso 940929 940929 940929 940929 940929 940929 940929 -— = = Woo e eke Ro k=) fh ul ee un —@ ooooo°;oe°o . i oF oo SOO SO1G21 C31 O12 ONNNNANN pS - NNNN NM : es 8 «8 e . REL Ow ooosr UNAawnou g WHEW RS eas no = NNO ONN OO 940930 940930 940930 940930 940930 940930 = Aannnnu ee ee NNMNNNN Oo 941001 941001 941001 941001 941001 941001 UARAN AA nae . 8 8 . 0 0 © ARAROAK oooo0o°o A32 Appendix A Table of Collection Times and Bulk Parameters 941002 941002 941002 941002 941002 941002 DARAAW 941003 941003 941003 941003 941003 941003 00D OOM NN OOOO = 941004 941004 941004 941004 941004 941004 000000 NNNNANN oS ONO P| ow —--- = pPp . . 8 &—nmNuo woof 941006 941006 941006 941006 = NNANM * «8 «© 2 oOONO ooo°o ee o WROAN =o = 941007 941007 941007 941007 941007 941007 941007 941007 941007 941007 941007 941007 = UOWWW a) WWWWWWWNWD DMMDMDDOD0MD DDODDDOODDONNNY o6 SLB. OL Oa oe Oo oo Ovi ou OLo7 OL OTe AARARARABRAHR OOONOONNON NANNANANNNNODO NOUaN aS a0 SCODDDDDDO0O0O0D OouuUWuUUuUUUI oO UUW Ul =ORNOVMMONUARH RRRRRURR RRR 941008 941008 941008 941008 941008 941008 941008 941008 941008 941008 NAODDOUUAQYU NFEOONENY a O>-s2-=N SON — 2 9 = = = os a a ° ° O.0 DOO APNNNNNW -NOAUAR—-OWDA ooooo0o0°oo0°o0°coe roe on oo Saery [223 = aS oa NND = = Gl O07 Oo, Ofon o ° ooo0o0o0qo0o0o00 BYRRSENLSS fp CI ew er es Qaial ins) oOonuvuo® WWE REUUUR & e e 8 8 © 8 8 s o SORANSGDTONO NON WWo ron Not hu aka 941009 941009 941009 941009 941009 941009 941009 941009 941009 oo0o0oO0co0oO0oO0o00 QO OOOOOSS’ ANNNAG ASRERANIAS =o op 2 = a= oo RWUNMPONOUN SAROWAUAONW NVNOWRWUWWUW Ose rss : AS IONR AG Rare WRUOW Appendix A Table of Collection Times and Bulk Parameters A33 941010 941010 941010 941010 941010 941010 941010 941010 WWNWNOOW OFWALFOAW oOoO0O0Q0O0O00— On. tO. OO On an Oo 941011 941011 941011 941011 941011 941011 941011 -=-0 tL Oo 6 ut Oo -NO WoOAaAnNWNANM NNOWDO—o& NNOGDOOOQN oo0o0o0o0°0 UO a O ON © FUBRWWNOO Ur rR RW 2 8 © © «© e oONfFUNWU -OFOANO 941012 941012 941012 941012 941012 941012 941012 ULAVANWN NOR ROON WWW Wp 0M0MM00 NONOONN SCO0D0D000 RRR RU NE SINAUW AanNNOUY UnROORRU OONZOOGR 941013 941013 941013 SCOD0000 RRRRRRA OnRRWUUY 941013 941013 941013 941013 WW O 0 © & = uo ao-ovul D000mM0M NNNNONO NAOKO XAO SO oe WONBAG ar pe RA) See tS) = 941014 941014 941014 941014 941014 941014 941014 —= == = = . 8 WNNMNNMWWW WWNNNNW SPUWUONS ROUSDONR AoRARWO N=2000NO0 941015 941015 941015 941015 941015 941015 941015 ° P2WO- WUW NOAOOA® . -—-OONNY NNNNONN ONNNANN RRWRE RS OOOONCoC ODO NOANNNWOO ASIANS RAS oO - 2 a oo oa ooooqo0o0°co . . .e WWW 941016 941016 941016 941016 941016 941016 941016 Sas as —= = 2 a= ooooo0°ce ooooo0o°coe FEU BRW Vr FOP UH 941017 941017 941017 NNO . 2- oon ooo . e ub —- 0 A34 Appendix A Table of Collection Times and Bulk Parameters 941017 941017 941017 941017 941018 941018 941018 941018 941018 941018 941018 ooo0o0o00 ° © e «© oe « » NAUAAAO N-@ONNO— 941019 941019 941019 941019 941019 941019 941019 o0O00000 . 8 «© 8 8 «8 @ NONN WBANANAD ° SSIAKAR ofrf-aowno NNN --Oo NWOWDA DO AnNnwowrou 941020 941020 941020 941020 941020 941020 941020 ePNMNNNP = = Shae Buide asa N-ONNOAO O252hWAaR On * oooo0o0o°o e . NMWWWGW ORENNWO NFO -NAO 941021 941021 941021 941021 941021 941021 941021 oooo0o0°co oo 02 02 0 O26 S| G2 R33 Ga G2 on h © UIC 2 2 oo op = ENAWN- oO Oaon-0-—- a WWrm MNP PP WUONADU 941022 941022 941022 941022 941022 941022 941022 nN UO ON- NAUVOO e woorftu & ONRURRD RRNDOORN oo0oO0cO0O0°0 ‘ G R2E5Raaqa =N-nmNwN>2 = AOA GRsoxraa AanRRURW uo ao 941023, 941023 941023 941023 941023 941023 941024 941024 941024 941024 941024 941024 941024 941024 BYASRSSSS NNMWWWW 2. e@ 8 8 se WONUA Ou WR} fWouUWNUI ooooo0°o°o°o Appendix A Table of Collection Times and Bulk Parameters A35 Table A1 (Continued) 941025 941025 941025 941025 941025 941025 941025 941025 ooo0o0o000 2 8 . e NW-wN DO 941026 941026 941026 941026 941026 941026 941026 oooo0o0°o°o Ni Ny & 0 © © NM UI WW AUuUS00RMD00 o=e2e2Kas 941027 941027 941027 941027 941027 941027 941027 941027 e 8 2 8 6 -OOMO DOA RP OANBDOND ee ViWlIO OOM OOo OanFORNOOA MMP > = = = > ONNNNN ONO NOOOOONN oo0000000 UUNARA®ARX®O ODO2W2=2W YQ NARONDONN WNWNWWWWW oOOoO0O00000 NYOUERN 941028 941028 941028 941028 941028 941028 941028 941028 ‘Oo vi . 8 6 =O teat ae lS UUW RRA . . ss e ° 6 Minn & Bi BHIFASLS 2. 2. 2. 2. 2. 2. 2 2 Un = WU NA oop---000 UNwWOOROD= OOUNWEWWP WuUNW Uo oooqo0o0qo000 e 8 «© @ WNUKAONAWO 941029 941029 941029 941029 941029 941029 941029 941029 NNN OONAO WWWWW SOU DMetelenelonaie ieee UANM2OS NN SO= RNR ON —_ —) —3. —2d WODOWWOWW SCO00O000D0 RRR RR RUT WRARBBRROO CO002=0-=0 ANwoOo=> aa 941030 941030 941030 941030 941030 941030 941030 941030 a) WNFSNONY = oonoonoo°ce NNNNWWWW Suewsiensleceraentiongs S20 NNNNNNANN 6 RRRRRRRA RRORUWE So ooooo0o0°co°o . ee o OXON SISISRHAA WOUWNahONW AWNAOWUO oooo0qo0°c;eo°o 8 coo OL WR-2WWE oo WRORORRO oo0qo0qo0oO0CO0C°o ee « 8 «8 e UAVee EN 941031 941031 941031 941031 941031 941031 941031 . . FERS kaa lon DooW> ONPmSNWWAY PRP PNNNN ooooo0o°o NARBUAA A ARARAAUAUA Suuwnuwr eS @Oa-WOODOW& A36 Appendix A Table of Collection Times and Bulk Parameters Table A1 (Continued) 941031 941101 941101 941101 941101 941101 941101 941101 S&rprrunu NOWNN OW ooraun sd 941102 941102 941102 941102 941102 941102 941102 or WW U=WdWDAOOW WaARW=- FO WWW Wr WP Spusimiannwiies state YEReves = 000 0MAD Sie eee : NNNNONO SCOCO0000 RRP RRU NUUW eA UW QAuUKRANU 941103 941103 941103 941103 941103 941103 941103 941103 e . e pet) | Ai ououwo mW ° woD00000 UBRRRRE RR OnORUNANND s >“NMNNRNWWD OO RNRWOR NNNWNNWW : Seas NADODAOW OO=0ON=20 NNANNNWNNN COOC0D0000 URUBRKUNN Sees Sees CODD OC0O0O 941104 941104 941104 941104 941104 941104 941104 941104 OWN NOON : : Q-WRoAW SANVATAKRAS oe WUWOOO-0 COWWUUW SO oonoo0coc0co oo @ ee —- 2 2 2 a > =P NNFEAUA OO ooooo0o0°0o NOUAOURU FNON-UOO —- = 2 oa op = = AWOA OWWO -OPNNONYU oooo,-000 ooowouro 941105 941105 941105 941105 941105 941105 941105 Wea nOOND O=2SRLRS WEWNNMNW WRUUUOANU = 2 = = > = ooooo0o°o ooo =" 2 = O = = . OoOfrNUNM O P WEORNUDO 941106 941106 941106 941106 941106 941106 941106 941106 2. 8 8 Soil MNoOuRe-—-OO . 28 «© os @ 28 uu U1 OY UT UT nn AnOWONO ° Peery DARARRARHR NNAOOAN NANNNNNN eooo0o0o00°o Wo -o”n UARUBAUU N= oor NNNNNN > ° — = = = = = = = WUUUIW UU UT e ° NNNMNNNNN = 2 2 8 6 28 z 941107 941107 941107 941107 941107 941107 941107 e ° © 8 © e®@ «© 8 ARAARARAA ° rfFuuruuwuu ve = OWWNA e NNNNNN PY ee ee ORAARUAW NOoOu-onu 2 2 2 oa oa WWWUuUuUU ooooo0o°o OAAONNA ee epa eleeenne ooap-fOW ENNWUWO Appendix A Table of Collection Times and Bulk Parameters A37 Table A1 (Continued) 941107 941108 941108 941108 941108 941108 941108 941108 941108 ooo0ooo0o° ee «© «© © e 8 uuu ut ut ut ut ut ANOWNO VY UN ku OCOFNO WARD oOODOOWOONnN DO 941109 941109 941109 941109 941109 941109 941109 941109 oo0COO0CO0O00 UD OONAAA oovo-o-o°o VUNNMWW PP @O-e-nNnovdvonw UR ON ON UO 941110 941110 941110 941110 941110 941110 941110 CoO00000 e$Prrrpuu QARUUNOWS ORWO =A PNWUNWOAN WDDWOONAD NON vu = = Om -anon WERWWP PP °. es 2 e NEAANM OO AOODOOoONAONh 941111 941111 941111 941111 941111 941111 941111 941111 VINDOODOONUAR . NNWWWWW ea ees ietelae FROUWWON CO000000 VUNuU ae eu Foonuour— PN -N-NNN dEO= Ol OL On On OD OnNe-WwOON— Bon -nwvoono RANANOON ENON?P- UU NUORWWEO oo 0oO0 0000 a 6 coo o oO fu WS 941112 941112 941112 941112 941112 941112 941112 941112 OaAnem-AnN ° es «8 «@ auuuwmu UT SF oO WUU ROU . . PRP EP NNNNN cimicmnerare NOONEFNF O FER UUNUUU an ouoowso NORRROUS oo0o0co0o0o00 WANUR SOW Foearhr—fr ooooqoo000 — = = = os os = . ee WO ouln © ONN 941113 941113 941113 941113 941113 941113 941113 941113 ONNNNNNO i Se 6 WWURUAWO oo NOODOOON anaoo NNNNNNN PY . oooooo°c;oe NM Pw > = = = = = oooMmuasl ny WROONDOA— RoORUN=O> DUWNNR ROW —_2 = = 941114 941114 941114 941114 941114 —_ — —) «3 —> NWW UO OCAKaN NM — NM WP SORROW NRROW © onuw SUAS A38 Appendix A Table of Collection Times and Bulk Parameters 941114 941114 941114 -- ff noo arn 941115 941115 941115 941115 941115 941115 941115 941115 uuu eu Seats N © WREoorn . 8 VIN @OUDAOO®W = = = 2 > 2 a WUdBAWULO DOWRM OO RRSGLALKSR eCo0cCcC~AaC0C0Oo UIW & UU A © OH 941116 941116 941116 941116 941116 941116 941116 941116 rUURRWND SRusmuamesbhstilecseces BEPAwoeny ORDDODOHWO SCOD0D0000 Set Sis Toe oii RRWWWR EE Wo2o00NUN SO0DRCO0O”0°0 SW USEA SEA SE WREERUWOR WUOBKRRORO RUUARKRKHRU SPoa ioe: sprint oees Gees ONWWROADE NUSWRORN SCOD0D000”0 SO Me ae NWNMNRWO = ONORNWON 941117 941117 941117 941117 941117 941117 941117 WWWWWW ]2oofrulo— COUNDOW Oo000000 oo oo o-oo PRR RWER SE FRO-@-FfF Qanonus GO OTOZ OTOL O OWDUOW YO NOWOR ON GCC00000°0 oo a ooo WREWNN PT ONOWOWW 941118 941118 941118 941118 941118 941118 941118 941118 ee NOWPNOWWU SUUIO eS An fF oOo ooooo0o0°co RRRRRRRSE oOooO}?}]0N fF oononn NAY OUONW - OO UUIW UI O © oooqooqooqoo0o°o * « e e se PH PFPNWNpNSH ONOA- UCDO . WHERE RRW o0o00C0O0O0000 ee . 8 8 © SSisnoas= 941119 941119 941119 941119 941119 941119 941119 941119 e OnkrFON DO Po NNNNWW 6. O..0..07 O02 OO aoorkruoewW OFDOeENWNW eee . VU Rae NO- OUND = -= 2-2 42 = = 23200 Qunowwon - FNDOAWND UINOADWAWON ONNOOOUU ooo0o0o0co0o°o . . 8 e@ 941120 941120 941120 941120 941120 941120 941120 941120 . 8 . . . 8 OPNUAWNS. AON NOONNDO> . e auuul SSSSGala ee VR RUON oO ee e« 8 © 8 «© 8 WARONNWSE OWN NVI = 2 = = = = = ° 6-6. 020 WNP WWUsS WBoSsnseaa ANNNNNNN ooooo0o°co To Oo ° -0O0 Pe = a NNN ° oe ooooo0o°oo Bsa ABRBagQsa 941121 941121 941121 . Noo ooo . oe @ anu ANN aAnoooo000o ° os ° NO NO -—- = wu ut an on NWW ooo =]2W—= Appendix A Table of Collection Times and Bulk Parameters A39 941121 941121 941121 941121 ery d= on 0 -= = uo 941122 941122 941122 941122 941122 941122 941122 941122 NON] FUUO ofr woOoWuUN DS —™ — — —2 NNDDDOCCO 3 O- a 62 ou. oon 8 UUUUU RE N2202UWR FSsSSlAn : CONNNNNN ooooo0o0o°o NPE NN AH AN NNN®N®OWO 941123 941123 941123 941123 941123 941123 941123 941123 So0DD= . . wes ue FOnonv OBNOOA ou-OoOwWw ° alts Wiest ee - 2 op = = a= Pp . oe ° ce WEWEOUBDO eeauyraed WW ooooooo°o -=N 941124 941124 941124 941124 941124 941124 941124 941124 oooooo0o°o © @ om a 0. ao 6 RUA o@ 941125 941125 941125 941125 941125 941125 941125 ooO0O0000 SS ae ae ae N- NOW LM 941126 941126 941126 941126 941126 941126 941126 941126 . -OCOOOW . . CAKRORAAKR B®KRAAKONN FREER EWP eo. e 8 e@ pt OO OS) tal Ss CS S a EO Ie UAUAAANDDS COCO 0C00D RRRRRRRS =WURWRoOW COCO 0O0OO= 6 re WoOONW> 941127 941127 941127 941127 941127 941127 941127 941127 BauUSSy wn DoYeusoe NNNWWW ES ee e e = oo 2 a 2 or NWWMWWwuo ° AAUAANNN aouwmu Yad. 027.0 ee 8 -0,-0o0000°0 . 8 On Oe tmo . (=) NOON o> WOkUWRAW NNOWANDU 941128 941128 on NN? UIO © ny NS Ul O ER A40 Appendix A Table of Collection Times and Bulk Parameters 941128 941128 941128 941128 941128 941128 NM > = = =p RLYARS 941129 941129 941129 941129 941129 941129 941129 . —-NNNNMN NY O02 202-Wh Ouown vow ooOOoOo0oO00OoO URURR RR CWBOONRN NNNNO@ON NORWOAMDO CROAN UW ooo0o0o0c°o NNOENENY ONABoOUWU 941130 941130 941130 941130 941130 941130 941130 941130 ery UVUUIAN OOOO FUN BRNO A BAaAUUUUY WWUUKU RN RRN RONAN = -=nN-2nNNPV RRR AKAROA NE UW- UN ooooo0o0o°o SSO Oona “oeec0o0C000”0 ENNONONU USowsunu 941201 941201 941201 941201 941201 941201 941201 941201 TDyseae OR>=AWO = WOW] UuUONnN oe 2 = = = = a a 2 8 6 e@ . OaAuaRLWNNY RWMOO>=>2UM NOAKRDONN ONAQANNTDO SCO0O00000 U1 U1 G1 O&O O UOOWOUNM FO SSS OOODNS QuUUURR ERS CODD 0O0O00 os aaa ees RRWWEOS RRSSLSRE 941202 941202 941202 941202 941202 941202 941202 - 2-2 -2NNn-—)1P UYNRoOD09 A-WOFOO UIUT ON O&O O&O -2N-UOWN UONNW-Oo ooooo0oo W-OGOOWSF AOuoOnwdOoW 941203 941203 941203 941203 941203 941203 941203 941203 O-NNWEWO ANONN DW ee © © © « 28 AARAARARA . e OWONNN . . -OW-ONO = = = = a a = NNOOWWNW WWWWUWNWw ° U1 O OO O& CN oO NNNNNNN— . NENONEWO oooooo0°c°o e . se 8 SSYSBaeS nN = 941204 941204 941204 941204 941204 941204 941204 941204 SDONNAROD : 25 AWAaAWon fr 0 ° opm ja |ayNuN WQeBuuunen 2 2 a a a om oooooo°co . . ue OnN-woov oa QUARKULUA 0 af 941205 oO N Appendix A Table of Collection Times and Bulk Parameters A41 941205 941205 941205 941205 941205 941205 941205 CS Nes UUW BW > oooo0o0°”o Sis iposnoncemes AuuAaKuUuW WoOUNWNAW WRERR RUG EO OO AROKREO ONNNOASEHK 941206 941206 941206 941206 941206 941206 941206 NyNnNUO = So oo Oooo AAaanannan a AIN CR] eS TS or WWWWWW Oo ooooo0oo onwrn SAAR WNMUWWA PB 941207 941207 941207 941207 941207 941207 941207 941207 DARARNAON WWWNNND = aigie pero Wbie tet e eto Meteee « WWOAW ROU NUO- MANN O Ul UT UT UT OO NINO oeoCo0000000 oO te Oo Om WWW RU NOOWNMUO DO OONONOUS OnNwoORURODR Foor Sof ooooqooqo0o0°oo moo 6.56 oO 6 O- = w= =O = NONFWONM> 941208 941208 941208 941208 941208 941208 941208 41 40 37 42 44 41 38 SCO000O== nies . 0 RUKRBBWOO NUWOOSOO WNOD22W NNNCOCO= COD0O0C0O SESE OO mPWRUuUSuUSs RNUOUAN 0 O. O. 0. 0. 0. 0. 941209 941209 941209 941209 941209 941209 941209 941209 RARRRRRS NUONRRAR A Nayoarnuon AAaOAAANAN ONNNOOO © 8 8 « @ Os O> OF OLar oo OAAWWO-fO oooooo0o°o ooo0qo0o0o0co°o FNWOADWNOA uk -OoOanwvomn 941210 941210 941210 941210 941210 941210 941210 941210 =200 aouuu kuUu SCONONDWO aimiomtontemee 5 NNONONNN ec000C00C0OO ouae PBPAR=O=NN RUUAKRAKAN sees naar nae NOAORUWNNY RWONR RON C0000 000 i ooo. og ROANNOWE SE SSI I 941211 941211 941211 941211 941211 941211 941211 — — —) —d. NNNWODoo slat clat cats Saas COCOA ONN eCoO00000 . oo = eR RERUUARD NROSRWO RYESARO NUROAN eco00000 Ol On6 ; UNWEWWU NOORDu oa AnNouUUEW ror u 941212 A42 Appendix A Table of Collection Times and Bulk Parameters 941212 941212 941212 941212 941212 941212 941212 ONNWADRO 941213 941213 941213 941213 941213 941213 941213 WWW P PP NUONNNN AUAaARnADN ee ee e@ 2 0200.0 2 8 ONONNOQAUW Oenkuoa n-=00 Onn HasQVtkoa oo0o0o00000 oF el (ene et iene 941214 941214 941214 941214 941214 941214 941214 NNUNWNWW RARDCDOR DOWDDRY SCO0D0000 RUBRRER ES RODRKOOH SCO00000 Ee CORSO @ UVuUIsA RARUAIZIA 6 WW=20000 RBONDONAN 941215 941215 941215 941215 e ut UVIW = Of ° e e 941215 941215 941215 941215 —-- ON fe) RIGVeNSSR NNNNMNNN DBOWnNanud UOOwWwWoOWW oooocoo0o0cC°0 =ONUYUA SW VNOUOW OO 941216 941216 941216 941216 941216 941216 941216 aN) eS ees UAAKHHKHHAH 5 OO oO a GS siismeents oS ARKKRAKRHR KBUUUUUAG C000 00”0 RRRRRHRS OURAN®OG CO00000 Suen er ierocvensie Woe WhUo UWNWANONM TN UUKURUU UN ns i oc) udsodosg 941217 941217 941217 941217 941217 941217 941217 941217 . . . ui ui ui ul Ul U1 © © e 8 e« © « 2 Aananoonnunu ooooqoo0o0°0o FRR REWS wW=NO-ONFf ooooqoo0o0o°o es «© «© «8 @ . RUBWONWW NOAODONMNO ANN®wWOOON NORWODOANM aOwmwpe-On-OW 941218 941218 941218 941218 941218 941218 941218 941218 asa Up>ono=nus ook ON —A CODD 0O0O00 RUURERRS $ Oo awRUN USNABORRO CODD0000 amen =NOOSR = NNA]-NNNNPN ° 2 8 . ee e@ 941219 Appendix A Table of Collection Times and Bulk Parameters A43 941219 941219 941219 941219 941220 941220 941220 941220 941220 941220 941220 941220 ANONNNNN NNON N2ORO-0Nn SCODCAO0O00 RRRRRRRA RA20ONQR2N SCO0D00O0O00 ERUNONRS SRGRSREE QUVAWN2saoe 941221 941221 941221 CRS =) NOR 941222 941222 941222 941222 941222 941222 941222 941222 ORUNAANO ORNINARS SCO0DDD00O0O0 RRR RRS =W2ORKAR=> 56 UUNUWOOW ONRUKHRHKRO NUONNWOOU NOoO2NONO SCO0D0D00O00 -=nN-unR-=- ON OBnOUDNWU NNNNQUON WNWWWWWW ooooqo0qo0o00 941223 941223 941223 941223 941223 941223 941223 941223 5 WOR as ONNNWWRW UUs Uwes= No RRRRRRRS 3.87 3.63 3.47 3.62 3.85 3.72 3.44 3.19 VN S- SWUk & -O-O0000 oe Got ono 6 Fad 2) ED 02 A RS 92 o- a NOUODOANOW OUW = 2 2 OW oogo00 0000 ° ° ° COONNAAO ooo0qo0o0o0 0 . ° 8 8 «8 @ 941224 941224 941224 941224 941224 941224 941224 941224 (=) . ™ ° . 0 oO e o ui WNNNNN AD PP 52.0; OL Oro ° PaokAUEN OW Om - NNO NY SUMAN AWAOH SPWNADODOND OO RW]WON 941225 941225 941225 941225 941225 941225 941225 941225 ONNONDOCA ° ONNNOMD® NOONONNN QNAN2NAE URRRURERS a8 5 pace RPWWWU oN 941226 941226 941226 941226 941226 941226 === NODONW A44 Appendix A Table of Collection Times and Bulk Parameters 941226 941226 941227 941227 941227 941227 941227 941227 941227 941227 WWW WT Seaver O20 ; NWA-ONND ROWDON VN SO000000 RWWRRRRS CODD =-aauN COCO 0O0O0D OOD OO Ono : NU NWAUOD ENNOUOKRS NROMONADU AuUNMARWODO WNADDOUNMO 941228 941228 941228 941228 941228 941228 941228 941228 941228 941228 OCOMOWRONU S2WEWWHKUUUIWS as UO WAOW Oo re) M MP PP PP PP W Po o UANDOM RRada ~ RUBRRRRRR RE MoOOnNUNODNOO oooooooqo0o°o°o —-$ FOBDFNPY-NWA FRUUUNNN OOD o0o000000000 Ce rrelcnios 941229 941229 941229 941229 941229 941229 941229 941229 941229 941229 941229 941229 NNNMNNMNNNMNN PD PP Oo OL OD. Un On De Os on Os O PRPWWE EWE UURAO FOFAOanNDODOAUUN oOoo000O00000 000 VUUMUUNU eee evi WUFUPFOWDAON = ooooocoococooco0o0c0o Sie ele eUiage eewieks remialelcmeee ie a ORAANOAOHK UUW PD Un woOw—-UAaOUA Or UPPER UOUUNUU faUaaih ey Ganire gO > Pe a laa een ea" OE ai "Be EK pwc MRE 12 3 4 6 6 7 B 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 2930 31 May 1994 Figure B5. Bulk data for May 1994 (Continued) B10 Appendix B Time Series Graphs of Bulk Parameters 23 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 Figure B5. (Concluded) Appendix B Time Series Graphs of Bulk Parameters May 1994 x x XXX x x Xe x 23 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 er a eo B11 B12 23 4 5 6 7 8 YQ 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 12 3 4 5 6 7 B 9 1011 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 June 1994 Figure B6. Bulk data for June 1994 (Continued) Appendix B_ Time Series Graphs of Bulk Parameters = 23 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 282930 i; x x % x pean ook x xy res x MK me xx XJ ERIK, * & pie me Rees ee Ea bond x He MOH x x he x % =| 7S on Wa XX ak RE * ss 12 3 4 5 6 7 B 9 1011 12 13 14 165 16 17 18 19 20 21 22 23 24 25 26 27 28 2930 June 1994 Figure B6. (Concluded) B13 Appendix B Time Series Graphs of Bulk Parameters B14 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 xx % x x ng RR ORR AR ao ay ORR Sacre es RTO, ee x ee at ee OK x 2 3 4 6 6 7 B 9 1011 12 13 14 15 16 17 18 19 20 21 22 23 24 26 26 27 28 2930 31 July 1994 Figure B7. Bulk data for July 1994 (Continued) Appendix B Time Series Graphs of Bulk Parameters 1 23 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 2930 31 po 2 i ‘ - x hy Ky xe %, % % ess Xe feat nonlin tenner en 1 2 3 4 5 6 7 8B 9 10 11 12 13 14 16 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 July 1994 Figure B7. (Concluded) Appendix B Time Series Graphs of Bulk Parameters B15 23 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 aa) GLa EROS UR eL Telia Us x xX vas ORE K J HE ak xy % x x , es x %, es 5 x cea er a Xx % - x xX *) x Sag Oneeae eo SCE wx po & “5 or 2 oe 8 12 3 4 5 6 7 B Q 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 August 1994 Figure B8. Bulk data for August 1994 (Continued) B16 Appendix B Time Series Graphs of Bulk Parameters 12 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 2930 31 12 3 4 5 6 7 B 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 August 1994 Figure B8. (Concluded) B17 Appendix B Time Series Graphs of Bulk Parameters 23 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 12 3 4 5 6 7 8B 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 September 1994 Figure B9. Bulk data for September 1994 (Continued) B18 Appendix B Time Series Graphs of Bulk Parameters 12 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 2930 x IH RIRK 9g 1 Be gg, 12 3 4 5 6 7 8B 9 1011 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 2930 September 1994 Figure B9. (Concluded) Bi9 Appendix B Time Series Graphs of Bulk Parameters B20 23 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 2930 31 x x x -% Poor >see PTE OW TE Seaton, MORO, x 12 3 4 6 6 7 B 9 1011 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 2930 31 October 1994 Figure B10. Bulk data for October 1994 (Continued) Appendix B Time Series Graphs of Bulk Parameters 23 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 ee ee ee 12 3 4 5 6 7 B Q 1011 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 2930 31 October 1994 Figure B10. (Concluded) B21 Appendix B_ Time Series Graphs of Bulk Parameters 23 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 2930 12 3 4 6 6 7 B 9 1011 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 November 1994 Figure B11. Bulk data for November 1994 (Continued) B22 Appendix B_ Time Series Graphs of Bulk Parameters 123 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 2930 ai acces peal geese Deane Vimeral emailer Teel 12 3 4 5 6 7 8B 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 2930 November 1994 Figure B11. (Concluded) B23 Appendix B Time Series Graphs of Bulk Parameters 23 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 12 3 4 5 6 7 B 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 December 1994 Figure B12. Bulk data for December 1994 (Continued) B24 Appendix B Time Series Graphs of Bulk Parameters Appendix B Time Series Graphs of Bulk Parameters 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 = 1.0 rere Eaneen 2K [ ] 12 3 4 6 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 December 1994 Figure B12. (Concluded) B25 Appendix C Listing of FORTRAN Computer Program program readascii Sample FORTRAN program containing statements necessary to read ASCII files of Harvest Platform frequency-direction spectra. This example reads a file called HPyymmddhhmm.ASC, where the string yymmddhhmm is a date/time group entered by the user. In other applications, the I/O statements may need modification to suit a user's system. Variable names, units and meanings are: oononqanqananadgn Oo f(nf)..[Hz] frequency at index nf angle(na).. {degrees CCW from true north] direction at index na from which wave energy is arriving sf(nf)..[m°2/Hz] frequency spectral density at f(nf) ddf(nf,na)..[deg°(-1)] directional distribution function at f(nf) and angle(na), which is the frequency-direction spectral density at f(nf) and angle(na) normalized by sf(nf) fds(nf,na)..[m° 2/(Hz*deg)] frequency-direction spectrum at f(nf) and angle(na), computed from ddf(nf,na) and sf(nf) gpat(nf)..gauge pattern used at f(nf) iter(nf)..# of IMLE iterations for convergence at f(nf) datetime..(character*10] Date and Greenwich Mean Time of beginning of data collection in the order year, month, day, hour, minute, and in the form yymmddhhmm (2-digit year, no blanks in any field) Hmo..{m] Energy-based characteristic wave height equal to 4*sigma, where sigma 2 is the variance of sea surface displacement fp..[Hz] frequency at peak of frequency spectrum thp..[deg] direction at peak of directional distribution at f(nf) = fp ifimle..algorithm flag: [1]=IMLE estimate, [0]=MLE estimate istot..[sec] duration of data collection sfrq..{Hz] data sampling frequency c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c Figure C1. Listing of FORTRAN Computer Program (Sheet 1 of 3) Appendix C Listing of FORTRAN Computer Program ifwindo..windowing flag: [0]=no windowing of data segments, [1]=segments windowed (Kaiser-Bessel window) ifdtrnd..detrending flag: [0]=no detrending, [1]=linear trend removed from data segments nfft..# of points in each data ensemble nensb..# of half-lapped segments of cross-spectral computations nband..# of raw frequency bands averaged in frequency smoothing idgfr..degrees of freedom in cross-spectral computations (based on contiguous segments only) nfrq..number of output frequency bands, equals range of index nf delfs..[Hz] output frequency bandwidth nang..number of output angle bins, equals range of index na delang..{[deg] output angle bin width dmin..{m] minimum ensemble segment water depth at reference gauge 'rname' during collection dbar..{m] mean water depth at gauge 'rname' during collection dmax..{m] maximum ensemble segment water depth at reference gauge 'rname' during collection rname..[character*5] reference gauge id for depth computations on0nnangoononongonononoanonoanonoanoanoanoaoaoananana lomme) character*5 character*6 gpat(13) character*10 indattim, datetime character*80 infile dimension £(13), sf(13), iter(13) dimension angle(181), ddf (13,181), fds(13,181) get file-naming date/time group from user write(*,'(2x,''Enter date/time group (yymmddhhmm)...'')') read(*,'(a10)') indattim Idate/time string define input data file infile="HP'//indattim(1:10)//'.ASC' open, read, and close data file open(10, file=infile,status='old', form='formatted' ) read(10, '‘( a10, 10.2, 10.5, 10.1, 110, 10.5, i110,/, 110, i10, 110, i10, i10, 10.5, i10,/, 10.1, 10.2, 6 5x,a5)') datetime, Hmo, fp, thp, ifimle, sfrq, ifwindo, ifdtrnd, nfft, nmensb, idgfr, nfrq, delfs, nang, delang, dbar, dmax, rname Ro Ro Ro Ro Ro fo Ro Ro read(10,'(10f8.1)') Cangle(na),na=1,nang) do 10 nf=1,nfrq read(10, & "(© 110, 10.5, 10.6, 4x,a6, j10)') & if, f(nf), sf(nf), gpat(nf), iter(nf) read(10,'(8f10.7)') (ddf(nf,na),na=1,nang) 10 continue close(10) Figure C1. (Sheet 2 of 3) Appendix C Listing of FORTRAN Computer Program compute frequency-direction spectrum fds(nf,na) from ddf(nf,na) and sf(nf) do 20 nf=1,nfrq do 25 na=1,nang fds(nf ,na)=sf (nf )*ddf (nf ,na) continue continue at this point, all relevant variables are defined and arrays are loaded; subsequent computations or operations can be done at the user's discretion... end Figure C1. (Sheet 3 of 3) Appendix C Listing of FORTRAN Computer Program Appendix D Listing of Sample Data File 9406191702 0 2.0 1 0.0060711 0.0020145 0.0010712 0.0007613 0.0006237 0.0005431 0.0004884 0.0004585 0.0004576 0.0004792 0.0005047 0.0005160 0.0005130 0.0005111 0.0005298 0.0005862 0.0006949 0.0008791 0.0012316 0.0022132 0.0066779 0.0250756 0.0135905 1.40 1024 202.42 0.04443 0.0053252 0.0018188 0.0010142 0.0007385 0.0006116 0.0005350 0.0004832 0.0004568 0.0004593 0.0004827 0.0005071 0.0005162 0.0005123 0.0005120 0.0005345 0.0005966 0.0007131 0.0009105 0.0013014 0.0024557 0.0080041 0.0267470 0.0112309 0.11279 15 202.72 0.022945 12346 0.0045011 0.0038403 0.0016546 0.0015159 0.0009641 0.0009199 0.0007177 0.0006986 0.0006002 0.0005894 0.0005273 0.0005200 0.0004784 0.0004740 0.0004556 0.0004548 0.0004614 0.0004639 0.0004861 0.0004896 0.0005092 0.0005111 0.0005162 0.0005160 0.0005117 0.0005111 0.0005132 0.0005148 0.0005398 0.0005457 0.0006079 0.0006201 0.0007324 0.0007529 0.0009443 0.0009811 0.0013806 0.0014713 0.0027490 0.0031067 0.0096462 0.0116520 0.0272988 0.0265893 0.0092647 0.0076545 30 0.0033111 0.0013985 0.0008808 0.0006812 0.0005792 0.0005130 0.0004700 0.0004545 0.0004666 0.0004929 0.0005127 0.0005156 0.0005107 0.0005168 0.0005523 0.0006331 0.0007749 0.0010215 0.0015764 0.0035468 0.0140400 0.0247609 0.0066483 8192 13, 0.00977 “1 “1 “1 1 1 1 1 1 0 -0 0 -0 0 0 0 0 0 0 -0 0 0 0 0 -0 0 0 0.0028831 0.0012977 0.0008458 0.0006652 0.0005696 0.0005063 0.0004664 0.0004546 0.0004695 0.0004961 0.0005139 0.0005150 0.0005104 0.0005193 0.0005596 0.0006470 0.0007984 0.0010659 0.0016986 0.0040914 0.0167678 0.0221839 Figure D1. Listing of sample data file (Sheet 1 of 6) Appendix D Listing of Sample Data File 1.00000 1 181 66.0 46.0 26.0 06.0 86.0 66.0 46.0 26.0 -6.0 14.0 34.0 54.0 74.0 94.0 14.0 34.0 54.0 74.0 -164.0 -144.0 -124.0 -104.0 -84.0 -64.0 - 162. -142. -122. - 102 -82 0-05 0) OL On Of OF ono OoOoo0CO0O0O0O 00000 178.0 0.0025347 0.0022500 0.0012113 0.0011363 0.0008145 0.0007865 0.0006503 0.0006365 0.0005603 0.0005515 0.0004999 0.0004940 0.0004634 0.0004607 0.0004552 0.0004562 0.0004726 0.0004759 0.0004992 0.0005020 0.0005149 0.0005156 0.0005144 0.0005137 0.0005104 0.0005106 0.0005222 0.0005257 0.0005677 0.0005766 0.0006620 0.0006779 0.0008234 0.0008503 0.0011151 0.0011699 0.0018419 0.0020114 0.0047700 0.0056173 0.0197000 0.0225923 0.0192493 0.0163000 D1 2 0.05420 1.184537 123456 18 0.0193193 0.0184077 0.0170895 0.0153190 0.0133217 0.0112048 0.0092480 0.0074597 0.0058946 0.0046099 0.0035386 0.0026957 0.0020745 0.0015988 0.0012458 0.0009987 0.0008208 0.0006947 0.0006082 0.0005547 0.0005174 0.0004952 0.0004832 0.0004781 0.0004767 0.0004760 0.0004743 0.0004722 0.0004672 0.0004597 0.0004485 0.0004343 0.0004178 0.0003978 0.0003759 0.0003524 0.0003279 0.0003021 0.0002764 0.0002507 0.0002256 0.0002014 0.0001782 0.0001564 0.0001364 0.0001181 0.0001016 0.0000871 0.0000746 0.0000638 0.0000548 0.0000474 0.0000415 0.0000371 0.0000339 0.0000319 0.0000309 0.0000311 0.0000324 0.0000350 0.0000390 0.0000445 0.0000520 0.0000617 0.0000740 0.0000889 0.0001069 0.0001281 0.0001526 0.0001801 0.0002102 0.0002427 0.0002766 0.0003112 0.0003451 0.0003773 0.0004059 0.0004299 0.0004479 0.0004587 0.0004614 0.0004556 0.0004421 0.0004222 0.0003980 0.0003713 0.0003449 0.0003211 0.0003022 0.0002884 0.0002807 0.0002785 0.0002822 0.0002899 0.0003005 0.0003124 0.0003246 0.0003357 0.0003445 0.0003507 0.0003529 0.0003513 0.0003463 0.0003375 0.0003253 0.0003106 0.0002933 0.0002741 0.0002536 0.0002326 0.0002111 0.0001898 0.0001692 0.0001495 0.0001312 0.0001145 0.0000993 0.0000861 0.0000748 0.0000654 0.0000578 0.0000519 0.0000477 0.0000449 0.0000437 0.0000441 0.0000462 0.0000500 0.0000562 0.0000649 0.0000769 0.0000927 0.0001132 0.0001392 0.0001719 0.0002123 0.0002609 0.0003193 0.0003886 0.0004682 0.0005592 0.0006618 0.0007741 0.0008986 0.0010315 0.0011714 0.0013129 0.0014590 0.0016010 0.0017377 0.0018647 0.0019786 0.0020822 0.0021782 0.0022795 0.0023725 0.0025086 0.0026904 0.0029601 0.0033376 0.0038572 0.0045843 0.0055141 0.0067018 0.0081353 0.0097832 0.0115735 0.0134692 0.0153736 0.0171945 0.0187583 0.0198669 0.0205504 0.0208362 0.0209647 0.0207193 0.0204234 0.0202511 0.0203944 0.0200859 0.0197905 3 0.06396 1.906006 123456 24 0.0266505 0.0240051 0.0199338 0.0156902 0.0118319 0.0085920 0.0061034 0.0042657 0.0029355 0.0020195 0.0013950 0.0009715 0.0006931 0.0005074 0.0003862 0.0003071 0.0002563 0.0002242 0.0002057 0.0001973 0.0001957 0.0001998 0.0002076 0.0002187 0.0002319 0.0002457 0.0002591 0.0002714 0.0002818 0.0002895 0.0002941 0.0002953 0.0002931 0.0002871 0.0002781 0.0002661 0.0002517 0.0002351 0.0002171 0.0001980 0.0001784 0.0001588 0.0001396 0.0001213 0.0001041 0.0000884 0.0000744 0.0000621 0.0000515 0.0000427 0.0000354 0.0000296 0.0000251 0.0000218 0.0000194 0.0000179 0.0000498 0.0000626 0.0002510 0.0002879 0.0003856 0.0003603 0.0001565 0.0001446 0.0001361 0.0001380 -0000786 0.0000983 0.0001219 0.0001494 0.0001806 0.0002148 -0003233 0.0003552 0.0003810 0.0003983 0.0004054 0.0004011 -0003282 0.0002926 0.0002570 0.0002241 0.0001961 0.0001735 -0001368 0.0001324 0.0001307 0.0001309 0.0001322 0.0001341 -0001392 0.0001397 0.0001394 0.0001381 0.0001359 0.0001327 0.0001286 0.0001238 0.0001183 0.0001121 0.0001055 0.0000985 0.0000912 0.0000838 0.0000764 0.0000690 0.0000619 0.0000550 0.0000486 0.0000426 0.0000371 0.0000323 0.0000281 0.0000245 0.0000215 0.0000191 0.0000173 0.0000161 0.0000155 0.0000155 0.0000162 0.0000177 0.0000202 0.0000241 0.0000301 0.0000388 0.0000515 0.0000698 0.0000961 0.0001333 0.0001855 0.0002573 0.0003543 0.0004831 0.0006498 0.0008611 0.0011224 0.0014354 0.0017974 0.0022041 0.0026385 0.0030759 0.0034895 0.0038434 0.0041111 0.0042729 0.0043422 0.0043300 0.0042985 0.0042918 0.0043646 0.0045543 0.0048808 0.0053739 0.0060164 0.0068127 0.0077325 0.0087527 0.0098372 0.0109554 0.0120929 0.0132428 0.0143793 0.0155102 0.0166772 0.0179936 0.0196328 0.0216170 0.0239779 0.0263410 0.0282539 0.0286674 0.0278960 4 0.07373 0.278954 123456 —) 30 0.0187927 0.0190464 0.0183675 0.0164729 0.0137951 0.0108111 0.0079991 0.0056283 0.0038047 0.0025047 0.0016247 0.0010542 0.0006957 0.0004728 0.0003356 0.0002509 0.0001988 0.0001669 0.0001483 0.0001388 0.0001354 0.0001368 0.0001416 0.0001492 0.0001587 0.0001696 0.0001812 0.0001928 0.0002039 0.0002139 0.0002224 0.0002290 0.0002334 0.0002354 0.0002349 0.0002319 0.0002265 0.0002189 0.0002093 0.0001979 0.0001851 0.0001712 0.0001566 0.0001416 0.0001266 0.0001120 0.0000981 0.0000851 0.0000732 0.0000627 0.0000535 0.0000457 0.0000393 0.0000341 0.0000303 0.0000276 0.0000260 0.0000255 0.0000262 0.0000282 0.0000317 0.0000374 0.0000456 0.0000572 0.0000731 0.0000943 0.0001215 0.0001551 0.0001951 0.0002403 0.0002887 0.0003374 0.0003825 0.0004204 0.0004472 0.0004604 0.0004586 0.0004418 0.0004119 0.0003720 0 0 0 0 0 0 Lt) 0 0 0 0 0 0 0 0.0000172 0.0000173 0.0000181 0.0000198 0.0000226 0.0000267 0.0000323 0.0000399 0 0 0 0 0 0 0 0.0003257 0.0002771 0.0002299 0.0001868 0.0001495 0.0001189 0.0000948 0.0000765 0.0000633 0.0000542 0.0000484 0.0000454 0.0000448 0.0000464 0.0000501 0.0000561 0.0000646 0.0000758 0.0000899 0.0001070 0.0001270 0.0001499 0.0001751 0.0002023 0.0002304 0.0002588 0.0002862 0.0003116 0.0003340 0.0003522 0.0003656 0.0003733 0.0003749 0.0003705 0.0003602 0.0003446 0.0003248 0.0003018 0.0002772 0.0002522 0.0002282 0.0002066 0.0001883 0.0001741 0.0001645 0.0001600 0.0001613 0.0001689 0.0001841 0.0002080 0.0002423 0.0002890 0.0003499 0.0004262 0.0005190 0.0006275 0.0007497 0.0008823 0.0010206 0.0011580 0.0012886 0.0014057 0.0015033 0.0015772 Figure D1. (Sheet 2 of 6) Appendix D Listing of Sample Data File 0.0016238 0.0012640 0.0037305 0.0264517 0.0125511 5 0.0073335 0.0028977 0.0005086 0.0002422 0.0002341 0.0001976 0.0001307 0.0000745 0.0000871 0.0002163 0.0003937 0.0004542 0.0004979 0.0015145 0.0033082 0.0022896 0.0019211 0.0026992 0.0028888 0.0037271 0.0131227 0.0137799 0.0078785 6 0.0008755 0.0007543 0.0002651 0.0001155 0.0001028 0.0000797 0.0000467 0.0000215 0.0000146 0.0000434 0.0001915 0.0004442 0.0005820 0.0016878 0.0361113 0.0100203 0.0055473 0.0023202 0.0006726 0.0011036 0.0023893 0.0013945 0.0007803 7 0.0002433 0.0001911 0.0001251 0.0000740 0.0000482 0.0000328 0.0000240 0.0000189 0.0000168 0.0000257 0.0000759 0.0002664 0.0011429 0.0016417 0.0012283 0.0052903 0.0258812 0.0135672 0.08350 0.0070561 0.0023706 0.0004262 0.0002391 0.0002320 0.0001904 0.0001219 0.0000712 0.0000963 0.0002394 0.0004103 0.0004513 0.0005394 0.0017678 0.0033487 0.0021149 0.0020088 0.0027662 0.0028778 0.0042199 0.0146364 0.0124221 0.0078352 0.09326 0.0008897 0.0006942 0.0002267 0.0001120 0.0001011 0.0000757 0.0000428 0.0000195 0.0000153 0.0000531 0.0002211 0.0004710 0.0005977 0.0024144 0.0409808 0.0084386 0.0052261 0.0019580 0.0006379 0.0012652 0.0024251 0.0012153 0.0007968 0.10303 0.0002404 0.0001829 0.0001172 0.0000698 0.0000459 0.0000314 0.0000232 0.0000185 0.0000170 0.0000287 0.0000884 0.0003145 0.0014078 0.0016315 0.0012298 0.0075380 0.0237446 0.0152252 0.103069 0.0065963 0.0019132 0.0003662 0.0002377 0.0002291 0.0001827 0.0001134 0.0000691 0.0001076 0.0002630 0.0004245 0.0004477 0.0005985 0.0020376 0.0033229 0.0019749 0.0021090 0.0028201 0.0028732 0.0048956 0.0158607 0.0111354 0.0077734 0.147455 0.0009024 0.0006284 0.0001956 0.0001098 0.0000990 0.0000716 0.0000391 0.0000178 0.0000166 0.0000651 0.0002525 0.0004949 0.0006217 0.0036289 0.0411608 0.0074917 0.0048608 0.0016399 0.0006298 0.0014438 0.0024026 0.0010665 0.0008199 0.693095 0.0002354 0.0001746 0.0001096 0.0000659 0.0000437 0.0000301 0.0000225 0.0000180 0.0000173 0.0000324 0.0001031 0.0003726 0.0017469 Figure D1. (Sheet 3 of 6) Appendix D Listing of Sample Data File 0.0015962 0.0012818 0.0105780 0.0206977 0.0170694 123456 0.0060441 0.0015284 0.0003230 0.0002371 0.0002255 0.0001746 0.0001052 0.0000683 0.0001210 0.0002868 0.0004362 0.0004445 0.0006792 0.0023131 0.0032339 0.0018742 0.0022160 0.0028604 0.0028845 0.0057851 0.0166739 0.0100286 0.0076412 123456 0.0009057 0.0005599 0.0001711 0.0001083 0.0000965 0.0000674 0.0000356 0.0000165 0.0000185 0.0000795 0.0002850 0.0005155 0.0006602 0.0056390 0.0366926 0.0069189 0.0044582 0.0013690 0.0006470 0.0016328 0.0023213 0.0009510 0.0008454 123456 0.0002293 0.0001664 0.0001025 0.0000624 0.0000416 0.0000289 0.0000218 0.0000176 0.0000179 0.0000368 0.0001203 0.0004433 0.0021846 0.0015406 0.0014097 0.0143231 0.0175358 0.0182673 17 0.0054270 0.0012139 0.0002924 0.0002370 0.0002212 0.0001662 0.0000975 0.0000688 0.0001364 0.0003102 0.0004451 0.0004434 0.0007854 0.0025812 0.0030909 0.0018141 0.0023246 0.0028874 0.0029238 0.0069087 0.0169917 0.0091614 0.0074798 30 0.0008983 0.0004914 0.0001523 0.0001072 0.0000937 0.0000632 0.0000322 0.0000154 0.0000212 0.0000965 0.0003181 0.0005329 0.0007226 0.0088647 0.0296047 0.0065563 0.0040292 0.0011461 0.0006888 0.0018238 0.0021866 0.0008678 0.0008641 30 0.0002224 0.0001581 0.0000957 0.0000592 0.0000396 0.0000278 0.0000212 0.0000173 0.0000187 0.0000422 0.0001406 0.0005298 0.0027537 0.0014710 0.0013957 0.0016472 0.0020501 0.0184371 0.0223070 0.0148847 0.0131475 0.0047748 0.0041188 0.0009635 0.0007686 0.0002712 0.0002570 0.0002369 0.0002365 0.0002162 0.0002106 0.0001575 0.0001486 0.0000905 0.0000842 0.0000709 0.0000745 0.0001539 0.0001733 0.0003330 0.0003548 0.0004513 0.0004547 0.0004459 0.0004542 0.0009206 0.0010873 0.0028281 0.0030396 0.0029076 0.0027012 0.0017931 0.0018074 0.0024301 0.0025296 0.0029019 0.0029051 0.0030063 0.0031510 0.0082621 0.0098082 0.0167923 0.0161154 0.0085497 0.0081684 0.0008792 0.0008484 0.0004257 0.0003652 0.0001383 0.0001279 0.0001063 0.0001054 0.0000906 0.0000871 0.0000590 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0.0077314 0.0384481 0.0074557 0.0060951 0.0026106 0.0003134 0.0000765 0.0000316 0.0000237 0.0000427 1.735533 0.0000497 0.0000810 0.0000768 0.0000410 0.0000291 0.0000246 0.0000189 0.0000143 Figure D1. (Sheet 4 of 6) 0.0160685 0.0295096 0.0059843 0.0037823 0.0021781 0.0005931 0.0002500 0.0001814 0.0002060 0.0002461 123456 0.0000613 0.0000947 0.0001116 0.0000620 0.0000290 0.0000182 0.0000146 0.0000149 0.0000214 0.0000534 0.0001667 0.0004852 0.0018971 0.0194510 0.0251414 0.0058475 0.0043456 0.0013378 0.0002615 0.0000928 0.0000481 0.0000363 0.0000486 123456 0.0000747 0.0001563 0.0001694 0.0000663 0.0000280 0.0000176 0.0000141 0.0000142 0.0000207 0.0000569 0.0002398 0.0007872 0.0019370 0.0103134 0.0348974 0.0066303 0.0062163 0.0019875 0.0002526 0.0000669 0.0000293 0.0000244 0.0000477 123456 0.0000535 0.0000837 0.0000722 0.0000383 0.0000286 0.0000239 0.0000182 0.0000140 0.0202028 0.0246672 0.0053438 0.0036900 0.0018772 0.0005147 0.0002338 0.0001801 0.0002136 0.0002448 20 0.0000650 0.0000991 0.0001084 0.0000557 0.0000269 0.0000174 0.0000144 0.0000152 0.0000233 0.0000616 0.0001907 0.0005593 0.0023911 0.0254233 0.0197374 0.0054647 0.0041053 0.0010658 0.0002230 0.0000841 0.0000452 0.0000366 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0.0000525 0.0000341 0.0000327 0.0000315 0.0000275 0.0000270 0.0000265 0.0000225 0.0000218 0.0000210 0.0000169 0.0000163 0.0000157 0.0000135 0.0000133 0.0000132 Appendix D Listing of Sample Data File 0.0000132 0.0000195 0.0000650 0.0002797 0.0009415 0.0052807 0.0339969 0.0104330 0.0093408 0.0032426 0.0006243 0.0001805 0.0000578 0.0000275 0.0000322 11 0.0000484 0.0000716 0.0001007 0.0000987 0.0000593 0.0000333 0.0000213 0.0000155 0.0000140 0.0000195 0.0000551 0.0002602 0.0012546 0.0072275 0.0176457 0.0171933 0.0120811 0.0039351 0.0014839 0.0003241 0.0000737 0.0000372 0.0000403 12 0.0000492 0.0001031 0.0001198 0.0000459 0.0000250 0.0000315 0.0000460 0.0000412 0.0000326 0.0000374 0.0000785 0.0002781 0.0016266 0.0094830 0.0123803 0.0185021 0.0107394 0.0050136 0.0030357 0.0008623 0.0001322 0.0000421 0.0000378 13 0.0001081 0.0001617 0.0001050 0.0000134 0.0000217 0.0000783 0.0003295 0.0010979 0.0073510 0.0319511 0.0097883 0.0090080 0.0025892 0.0005266 0.0001561 0.0000507 0.0000267 0.0000344 0.14209 0.0000502 0.0000753 0.0001033 0.0000946 0.0000549 0.0000313 0.0000203 0.0000151 0.0000141 0.0000213 0.0000657 0.0003183 0.0015302 0.0090181 0.0173375 0.0177510 0.0104976 0.0035319 0.0012575 0.0002641 0.0000641 0.0000364 0.0000419 0.15186 0.0000525 0.0001119 0.0001106 0.0000406 0.0000247 0.0000335 0.0000466 0.0000398 0.0000322 0.0000396 0.0000897 0.0003365 0.0020991 0.0104991 0.0128062 0.0186332 0.0095765 0.0047007 0.0027596 0.0006857 0.0001080 0.0000394 0.0000396 0.16162 0.0001140 0.0001609 0.0000968 0.0000136 0.0000246 0.0000946 0.0003861 0.0012914 0.0103594 0.0281451 0.0094782 0.0084785 0.0020664 0.0004469 0.0001351 0.0000449 0.0000264 0.0000368 1.100230 0.0000527 0.0000791 0.0001053 0.0000898 0.0000509 0.0000294 0.0000194 0.0000147 0.0000144 0.0000236 0.0000790 0.0003886 0.0018749 0.0110173 0.0169026 0.0181138 0.0090429 0.0031827 0.0010552 0.0002156 0.0000567 0.0000360 0.0000437 0.766675 0.0000574 0.0001200 0.0001001 0.0000363 0.0000248 0.0000356 0.0000468 0.0000384 0.0000321 0.0000424 0.0001032 0.0004105 0.0027137 0.0112176 0.0134097 0.0182803 0.0085651 0.0044312 0.0024677 0.0005405 0.0000896 0.0000375 0.0000419 0.821175 0.0001224 0.0001572 0.0000894 Figure D1. (Sheet 5 of 6) Appendix D Listing of Sample Data File 0.0000140 0.0000281 0.0001143 0.0004504 0.0015387 0.0144950 0.0236678 0.0093838 0.0077556 0.0016565 0.0003813 0.0001169 0.0000400 0.0000264 0.0000396 123456 0.0000555 0.0000829 0.0001065 0.0000847 0.0000472 0.0000277 0.0000186 0.0000144 0.0000148 0.0000264 0.0000957 0.0004736 0.0023115 0.0130539 0.0164796 0.0180967 0.0077608 0.0028655 0.0008781 0.0001766 0.0000508 0.0000360 0.0000457 123456 0.0000632 0.0001266 0.0000891 0.0000329 0.0000252 0.0000377 0.0000466 0.0000371 0.0000322 0.0000459 0.0001196 0.0005052 0.0034989 0.0116402 0.0141863 0.0174680 0.0076987 0.0041919 0.0021675 0.0004240 0.0000756 0.0000363 0.0000448 123456 0.0001312 0.0001509 0.0000829 0.0000146 0.0000326 0.0001378 0.0005233 0.0018661 0.0196725 0.0194275 0.0094106 0.0068767 0.0013382 0.0003267 0.0001012 0.0000361 0.0000269 0.0000419 30 0.0000584 0.0000867 0.0001069 0.0000794 0.0000439 0.0000262 0.0000178 0.0000142 0.0000153 0.0000299 0.0001163 0.0005762 0.0028711 0.0149006 0.0161813 0.0175961 0.0066673 0.0025658 0.0007256 0.0001455 0.0000463 0.0000698 0.0001311 0.0000785 0.0000302 0.0000259 0.0000398 0.0000460 0.0000359 0.0000326 0.0000502 0.0001397 0.0006272 0.0044725 0.0118380 0.0151075 0.0162983 0.0069635 0.0039700 0.0018683 0.0003321 0.0000649 0.0000356 0.0000473 7 0.0001399 0.0001428 0.0000772 0.0000154 0.0000383 0.0001656 0.0006063 0.0023157 0.0253112 0.0159362 0.0094815 0.0059096 0.0010909 0.0002808 0.0000877 0.0000330 0.0000277 0.0000614 0.0000905 0.0001063 0.0000741 0.0000408 0.0000248 0.0000172 0.0000140 0.0000160 0.0000343 0.0001420 0.0007000 0.0035941 0.0163467 0.0160890 0.0166213 0.0057588 0.0022767 0.0005961 0.0001208 0.0000429 0.0000370 0.0000772 0.0001328 0.0000686 0.0000282 0.0000269 0.0000418 0.0000451 0.0000348 0.0000332 0.0000554 0.0001642 0.0007859 0.0056280 0.0119168 0.0161128 0.0149154 0.0063430 0.0037530 0.0015802 0.0002607 0.0000567 0.0000354 0.0001480 0.0001335 0.0000724 0.0000164 0.0000453 0.0001982 0.0007014 0.0029549 0.0303223 0.0133391 0.0095311 0.0049365 0.0008978 0.0002420 0.0000761 0.0000305 0.0000289 0.0000647 0.0000942 0.0001047 0.0000689 0.0000381 0.0000235 0.0000165 0.0000139 0.0000169 0.0000397 0.0001737 0.0008497 0.0045297 0.0172711 0.0162452 0.0152771 0.0050183 0.0019977 0.0004877 0.0001013 0.0000403 0.0000379 0.0000854 0.0001314 0.0000598 0.0000267 0.0000282 0.0000436 0.0000439 0.0000339 0.0000342 0.0000617 0.0001943 0.0009936 0.0069179 0.0119818 0.0171046 0.0134610 0.0058211 0.0035299 0.0013123 0.0002059 0.0000504 0.0000358 0.0001548 0.0001237 0.0000681 0.0000178 0.0000541 0.0002361 0.0008116 0.0038897 0.0334761 0.0115593 0.0095013 0.0040313 0.0007456 0.0002089 0.0000662 0.0000287 0.0000304 0.0000681 0.0000976 0.0001022 0.0000640 0.0000356 0.0000223 0.0000160 0.0000139 0.0000181 0.0000465 0.0002126 0.0010317 0.0057288 0.0176723 0.0166401 0.0137139 0.0044204 0.0017319 0.0003978 0.0000858 0.0000385 0.0000390 0.0000941 0.0001270 0.0000522 0.0000256 0.0000297 0.0000450 0.0000426 0.0000331 0.0000356 0.0000693 0.0002316 0.0012668 0.0082467 0.0121170 0.0179503 0.0120456 0.0053826 0.0032923 0.0010716 0.0001641 0.0000457 0.0000366 0.0001595 0.0001141 0.0000645 D5 D6 -0000613 - 0000474 -0000475 - 0000630 - 0000626 - 0000494 -0000572 -0001222 -0004170 -0019009 - 0088095 -0152720 - 0188423 -0079824 - 0044679 - 0030316 -0007211 - 0001696 - 0000806 - 0000837 0 0) 0 0 0 0 0 0 0 0 0 0 0) 0 0 0 0 0 0 0 0.0000586 0.0000467 0.0000486 0.0000649 0.0000606 0.0000488 0.0000608 0.0001397 0.0004963 0.0023376 0.0100597 0.0157746 0.0182143 0.0070199 0.0043971 0.0026548 0.0005890 0.0001477 0.0000778 0.0000880 0. 0. 0. 0. 0. 0. 0.0000562 0.0000462 0.0000500 0.0000663 0.0000585 0.0000486 0.0000652 0. 0 0 0 0 0 0 0001608 - 0005933 -0028776 -0112281 -0163404 -0171133 - 0062640 0043316 0022786 0004825 0001303 0000761 0000932 Figure D1. (Sheet 6 of 6) 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.0122521 0.0169703 0.0156352 0.0056847 0.0042476 0. 0 0 0 0 0000541 0000458 0000518 0000671 0000565 0000489 0000707 0001862 0007124 0035390 0019231 -0003972 -0001164 -0000752 - 0000993 -0000523 -0000457 -0000538 - 0000673 - 0000546 -0000495 -0000775 - 0002168 - 0008594 -0043371 -0130998 -0176342 -0139437 -0052516 -0041230 -0016016 -0003291 -0001053 .0000753 - 0001044 0 0 0 0 0 0 ) 0 0 0 0 0. 0 0 0 0 0 0 0 - 0000508 -0000457 - 0000560 - 0000669 -0000529 -0000506 - 0000857 0002537 -0010414 -0052795 -0137782 -0182660 -0122162 -0049370 -0039409 -0013210 - 0002748 - 0000966 -0000761 Appendix D Listing of Sample Data File 0.0000495 0.0000461 0.0000584 0.0000659 0.0000514 0.0000522 0.0000956 0.0002981 0.0012677 0.0063603 0.0143272 0.0187629 0.0105969 0.0047163 0.0036936 0.0010825 0.0002315 0.0000898 0.0000778 0. 0. 0.0000484 0.0000466 0.0000608 0.0000644 0.0000502 0.0000544 0.0001077 0.0003518 0. 0 0 0 0 0 0 0 0 0015496 -0075534 -0148053 -0189973 -0091740 -0045670 -0033854 - 0008840 -0001970 0000845 0000804 Appendix E Notation Text Appendix C a a, A angle(na) C7) d datetime dbar ddf (nf ,na) d8 delang af delfs dmax Appendix E Notation Normalizing coefficient in maximum likelihood estimate (MLE) Normalizing coefficient for r“ iteration in itera- tive maximum likelihood estimator (IMLE) Quartile asymmetry parameter Element na of an array that represents direction coordinates Coincident spectral density between gauges i and j at frequency f, Water depth Ten-character string that contains date and time Mean water depth Array element representing the directional distri- bution function at frequency f(nf) and direction angle(na) Direction increment Frequency increment Maximum segment-averaged water depth in a col- lection E1 = iO bd > D(6_) ID Gp SL) ID Goes) DG,» 0.) D,(f,,9,,) ® ® oy hhmm E2 Appendix C dmin fds(nf,na) f(nf) fp gpat (nf) Hmo Minimum segment-averaged water depth in a col- lection Directional distribution function based on $(0, ) Directional distribution function at frequency f, and direction 6. MLE estimate of directional distribution function at frequency f, IMLE estimate of directional distribution function at frequency f, after r” iteration Intermediate, uncorrected IMLE estimate of direc- tional distribution function at frequency f, during r‘ iteration Unit vector in the x-direction Unit vector in the y-direction Array element representing the frequency-direc- tion spectrum at frequency f(nf) and direction angle(na) n frequency of a set of N discrete frequencies Element nf of an array that represents frequency Peak frequency Gravitational acceleration Element nf of an array of six-character strings that represent working gauge patterns Mnemonic for time of day Characteristic wave height Appendix E Notation Appendix E Notation Appendix C idgfr ifdtrnd ifimle ifwindo istot iter(nf) na Complex notation /-1 [in exponent or on main equation line] Gauge index [as subscript] Degrees of freedom in cross-spectral estimation Flag indicating whether or not data have been detrended Flag indicating if maximum likelihood or iterative maximum likelihood estimation is used Flag indicating whether or not data segments have been windowed Total number of seconds duration of a time series Number of iterative maximum likelihood itera- tions used to compute directional distribution at frequency f (nf) Number of gauges in an array Cumulative distribution function Imaginary part of complex entity contained in brackets Gauge index [as subscript] Magnitude of wave number vector associated with n“ discrete frequency Wave number vector for wave direction (@) at n" discrete frequency Summation index Index associated with discrete direction First cosine moment of D(6_) Second cosine moment of D(8, ) E3 Q,,(f,) Re[ ] E4 Appendix C nang nf nband nensb nfft nfrq rname Index of discrete direction at which wave energy is minimum Integer number of discrete directions Element of dimensionless matrix of cross spectra between gauges i and j at frequency f, Element of inverse of M,,(/,) Estimate of element of dimensionless matrix of cross spectra between gauges i and j at fre- quency f, during r” IMLE iteration Element of inverse of 'M, (f,) yn Index associated with discrete frequency First sine moment of D(8_ ) Second sine moment of D(8_) Number of frequency bands averaged in spectral estimation Number of segments into which a data record is divided during spectral estimation Number of data points in a data segment Integer number of discrete frequencies Quadrature spectral density between gauges i and j at frequency f, Iteration count for IMLE Five-character string denoting reference gauge Upper limit of IMLE iterations Real part of complex entity contained in brackets Appendix E Notation el fer) bed i SCZ,) S(6,) S¢,,9,,) Op) A®8 Appendix E Notation Appendix C sf (nf) sfrq thp Element nf of an array that represents the frequen- cy spectrum Sampling frequency Frequency spectral density at frequency f, Direction spectral density at direction 0, Frequency-direction spectral density at frequency f, and direction 0, Peak direction of directional distribution at fre- quency fp Peak period Horizontal coordinate increasing northward Horizontal position vector of gauge i Horizontal position vector of gauge j Horizontal coordinate increasing westward Mnemonic for date Exponential convergence rate parameter in IMLE Convergence rate coefficient in IMLE Circular skewness Coherence of signals from gauges i and j at fre- quency f, Circular kurtosis Quartile directional spread parameter Convergence check parameter at r IMLE itera- tion E5 E6 Appendix C Mean direction First quartile direction of cumulative distribution function Median direction of cumulative distribution func- tion Third quartile direction of cumulative distribution function 1" discrete direction m" direction of a set of M discrete directions Direction of minimum energy Peak direction IMLE correction factor at the r™ iteration Circular width parameter Cross-spectral phase between gauges i and j at frequency f, Appendix E Notation REPORT DOCUMENTATION PAGE ee | Public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining | the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions | f for reducing this burden, to Washington Headquarters Services, Directorate for Information Operations and Reports, 1215 Jefferson Davis Highway, Suite 1204, Arlington, VA 22202-4302, and to the | Office of Management and Budget, Paperwork Reduction Project (0704-0188), Washington, DC 20503. l1. AGENCY USE ONLY (Leave blank) |2. REPORT DATE 3. REPORT TYPE AND DATES COVERED June 1996 Final report | i /4. TITLE AND SUBTITLE 5. FUNDING NUMBERS 1994 Annual Index of Wind Wave Directional Spectra Measured at Harvest Platform . AUTHOR(S) Charles E. Long . PERFORMING ORGANIZATION NAME(S) AND ADDRESS(ES) 8. PERFORMING ORGANIZATION U.S. Army Engineer Waterways Experiment Station REPORT NUMBER 3909 Halls Ferry Road Miscellaneous Paper CERC-96-4 Vicksburg, MS 39180-6199 . SPONSORING/MONITORING AGENCY NAME(S) AND ADDRESS(ES) 10. SPONSORING/MONITORING U.S. Army Corps of Engineers AGENCY REPORT NUMBER Washington, DC 20314-1000 111. SUPPLEMENTARY NOTES Available from National Technical Information Service, 5285 Port Royal Road, Springfield, VA 22161. 12a. DISTRIBUTION/AVAILABILITY STATEMENT 12b. DISTRIBUTION CODE Approved for public release; distribution is unlimited. |13. ABSTRACT (Maximum 200 words) This report indexes characteristic parameters of and describes a means of access to 2,320 wind wave frequency-direction spectra observed at the Texaco Oil Company Harvest Platform during calendar year 1994. Located at about the 200-m depth contour approximately 20 km west of Point Conception, California, the platform supports a spatial array of six pressure gauges, data from which are processed with an iterative maximum likelihood directional estimator. Nine parameters are defined, listed, and graphed in time series form: characteristic wave height, peak frequency, peak direction, four circular moments (mean direction, width, skewness, and kurtosis), and two parameters (directional spread and asymmetry) derived from quartile points of directional spectra. This report is the second in a series. 15. NUMBER OF PAGES 118 16. PRICE CODE 114. SUBJECT TERMS Deep water Wave climate Frequency-direction spectra Wind waves 17. SECURITY CLASSIFICATION |18. SECURITY CLASSIFICATION |19. SECURITY CLASSIFICATION |20. LIMITATION OF ABSTRACT OF REPORT OF THIS PAGE OF ABSTRACT | UNCLASSIFIED UNCLASSIFIED NSN 7540-01-280-5500 Standard Form 298 (Rev. 2-89) Prescribed by ANSI Std. Z39-18 298-102 190 etic i Destroy this report when no longer needed. Do not return it to the originator. DEPARTMENT OF THE ARMY WATERWAYS EXPERIMENT STATION, CORPS OF ENGINEERS 3909 HALLS FERRY ROAD it VICKSBURG, MISSISSIPP] 39180-6199 SPECTAL Ss FOURTH CLass Official Business BOOKS/FILA 29B/LE5/ i WOODS HOLE OCEANGRAPHIC INSTITUTE ATTN: FR. WILLIAM DUNELE DATA LIBRARY #OODS HOLE ma 02543-1099