SP-58 Supplement to H.O. Pub. 614 SPECIAL PUBLICATION TABLES OF SOUND SPEED IN SEA WATER Oceanographic Analysis Division | Marine Sciences Department AUGUST 1962 OC e 228.8 U.S. NAVAL OCEANOGRAPHIC OFFICE 3S WASHINGTON, D.C. ek. | s - + SP-58 Supplement to H.O. Pub. 614 SPECIAL PUBLICATION TABLES OF SOUND SPEED IN SEA WATER Oceanographic Analysis Division Marine Sciences Department AUGUST 1962 -8 U.S. NAVAL OCEANOGRAPHIC OFFICE WASHINGTON, D.C. Mey CO ABST RAG. Sound speed tables have been computed from W.D. Wilson’s equation (Journal of the Acoustical Society of America, Vol. 32, No. 10, October 1960). The tables cover temperature, salinity, and pressure ranges from —2.5° to 34.9°C, 0 to 41.9°/,., and 1.03 kg/cm2 to 1260 kg/cm2. A pressure-depth relationship is established whereby the tables may be entered with either depth in meters or pressure in kilograms per square centimeter. A sound speed nomogram developed from values in the table is _ presented for purposes of rapid calculation. FOREWORD It has become increasingly evident that the accuracy of the Kuwahara equation for computing sound speeds in sea water is not sufficient for present day needs. In situ measurements of sound speed in sea water indicate that at some depths the speed calculated by the Kuwahara equation is 3 to 4 meters per second too slow. To remedy this inade- quacy a conference of interested parties, heldatthe Hydrographic Office in May 1961, concluded that the sound speed equation of Kuwahara should be replaced by the empirical equation developed at the Naval Ordnance Laboratory by Wayne D,. Wilson. Since that time this Office has been recomputing available sound speed data onthe basis of Wilson's equation, The tables presented here have beendevelopedfrom the Wilson equation to facilitate hand computation of sound speeds from tempera- ture and salinity data. Although continuing research may yield more accurate equations, these tables are individually accurate to the nearest 0.1 meter per second and the total error in any computation within the normal range of oceanographic variables should be less than 0.3 meter per second. Rear Admiral, U. S. Navy Commander sp os oe a os CONTENTS Page Part I, Discussion AS A Wiel DLS Bie, Mise cle ots Najves oe aintet fects 56 0 6) Opec ay ciated cars 2 B_sound speed) Nomograrns sg ve eile fe =) eels i ies 3 RUGS 5 6 6004 ¢ 9906000005 5 Rep Eseiamee 4 Part II, Sound Speed Tables Examples of Use Of Tables c.h jes 6 PART I. DISCUSSION INTRODUCTION The sound speed tables presented in H. O. Pub. No. 614), after Kuwahara2, present sound speed as a function of temperature, salinity, pressure, and latitude. His tables were developed from mathematical analysis of specific volumes rather than empirical sound speed meas- urements, Actual measurements of sound speed in sea water indicate Kuwahara's speeds are approximately 4 meters per second too slow. With the development of progressively more complex weapons systems it became necessary to have more accurate sound speed information. As a result of this recognized need, a conference? of interested parties was held at the Hydrographic Office in May 196l for the purpose of resolving whether or not a new equation for the calculation of sound speed should be adopted, It was generally agreed that Wilson's equation4 (shown below) should be adopted for Naval applications. This decision was reached with the knowledge that research presently being conducted may yield equations which are somewhat more accurate. V m/sec. = 1449.14 +Vp +V +Vy +Vetp Where: Vp") ='160272 > -10=" PhO268"x 107° P24'sH216 « 1059.P8 — 3.3603 x 10-12 p4 V, = 1.39799 (S—35) + 1.69202 x 10-3 (S—35)? od ss =e ahh og tg 24 V4 572, Aaba2 se 10e- i = 2 6045. .q 10 1° + 729851 sc 10 ° 1 Veg = S35) (244 100s 7 7711 XO’ T+ 7.7016,% 10, P — 1.2943 x 10-7 P? +3.1580 x 10-8 PT+1.5790 x 10-2 PT?) P(2{1e607 10 2 -P a7ae12' 10-8 1 4.4.5 283 a0 BT) 4+ P*(—2.5204 x 10-” T +1.8563 x 10-9 T*) +P°(—1.9646 x Oj. TD: The tables presented herein are computed from the above equation and should be used in lieu of those in H. O. Pub. No. 614, 1951 edition. A. TABLES According to Wilson, the mean standard deviation of the error between his equation and measured speeds over the range of variables (temperature -4°C. to 30°C., salinity 0% to 37%, pressure 1 to 1,000 kg/cm“) is 0.30 m/sec. With temperature as the dependent variable, the maximum standard deviation is 0.74 m/sec at salinity 0.00% and surface pressure, and the minimum standard deviation is 0.08 m/sec at 36.55% salinity and 420 kg/cm% pressure. The accuracy of the equation at values higher than those shown above has had some limited evaluation by Wilson. The difference between the measured and computed velocities at some sample extreme values are: Temperature Salinity Pressure Difference 30 513°C. 42.15% Surface 0.13m/sec 39.85 34.99 Surface 0.06 39.85 42.15 Surface 0.85 39.85 42.15 381 kg/cm2 0.65 20.11 34.99 1,150 kg/cm2 0.21 Tables 1 through 6 were developed using the Wilson equation programmed for the IBM 7070 computer. The speeds were computed to the nearest 0.01 m/sec and for convenience were rounded to the nearest 0.1 m/sec for presentation. Although Wilson's equation is entered with pressure as a variable, by assuming a uniform water column of 0°C. temperature and 35% salinity, a depth-pressure relationship is established; therefore, the tables are presented so that they canbe entered with depth or pressure. A convenient depth interval from 1 meter to 11,500 meters in the depth (pressure) correction, Table 2, is used in order to minimize interpo- lation; however, if it is desired to use in situ pressure to obtain the pressure correction, Table 1 is to be used, Table 3, converted from the original Kuwahara table, is to be applied to correct the sound speeds for variations in gravity with latitude and depth. Tables 4 and 5 may be entered with salinity to the nearest 0.01% and temperature to the nearest 0.01°C., thus eliminating interpolation. The simultaneous cor- rections for temperature, salinity, and depth (pressure) are presented in Table 6 at standard oceanographic station depths assuming the above pressure-depth relationship. Again, if it is desired to use in situ pressures instead of depth to make the simultaneous correction, the pressure value is presented at each depth. Some interpolation may be required in these tables; however, for depths less than 3,000 meters, the difference between tables for identical temperature and salinity values is usually less than 0.2m/sec. Table 7 is presented for ease of conversion of meters/second to feet/second if desired. The assumption that the sound speed at a particular depthisa weak function of the temperature and salinity structure above that depth is supported by NEL”. Inaddition, direct comparisons were made at the Hydrographic Office between the speeds presented here and those computed by using the actual pressures. Sound speeds were computed at standard depths, in one case using computed in situ pressures and in the other using computed pressures resulting from an assumed water column at 0°C. temperature and 35% salinity. In the Gulf of Alaska and the Philippine Trench, this method indicated differences of less than 0.1 m/sec or less above 4,000 meters depth. In the Philippine Trench at 8,000 meters, the difference was less than 0.2 m/sec. These computations indicated that the change in pressure attributed to differences in temperature and salinity from 0°C. and 35% have only a minor effect on the sound speed at any depth. B. SOUND SPEED NOMOGRAM The sound speed nomogram and structure form was drawn from the values of sound speed giveninthe tables. As in the tables, the pressure- depth relationship is based on a 0°C. and 35% water column, The main body of the nomogram presents sound speed as a function of tempera- ture and depth with salinity held at 35%. Values are plotted to the nearest tenth of a meter per second and can probably be read to the nearest 0.5 m/sec. An inset is provided to correct for salinities other than 35%; for salinities less than 35% the correction is negative, for salinities greater than 35% the correction is positive. For the normal range of salinity, temperature, and depth for oceanic and nearshore waters the salinity correction is accurate to the nearest 0.1 m/sec. For anomalous oceanographic conditions but within the range of variables covered by the tables, the error may increase to 0,3 to 0.4m/sec; i.e., for fresh water at 2,000 meters depth or 32% (or 38%o) salinity at 11,000 meters. Sound speeds from the nomogram can be determined to within one meter per second; if greater accuracy is desired, the tables should be used, The temperature structure at an oceanographic station may be plotted on the nomogram to determine an approximate sound speed structure. Large errors in absolute speed will occur in nearshore areas or enclosed seas where the salinity may deviate radically from 35%0; the general shape of the speed structure may be easily determined for the normal oceanographic environment, REFERENCES 1. U. S. HYDROGRAPHIC OFFICE. Processing oceanographic data,by E. C. LaFond, H. O. Pub. No. 614. 114p., 1951. 2. KUWAHARA, S. Velocity of sound in sea water and calculation of the velocity for use in sonic sounding. Hydrographic Review, vol. 16, no, 2, pp. 123-140, 1939. 3. U. S. HYDROGRAPHIC OFFICE. Summary of the conference on sound speed equations. Enclosure to HO ltr ser 9233 of 24 Oct. 1961. 4, WILSON, W. D. Equation for the speed of sound in sea water, Journal of the Acoustical Society of America, vol. 32, no. 10, pp. 1357, Oct. 1960. 5. PEDERSEN, M. A. NEL sound velocity program. Informal draft enclosure to NEL ltr to USNHO SF001 03 01 (NEL L15) 2233-13 of 10 May 1961. DEPTH (THOUSANDS OF FEET) SP 58 4700 4800 4900 5000 5100 5200 FEET/SEC 1430 1440 1450 1460 1470 1480 1490 1500 1510 1520 1530 1540 1550 1560 1570 1580 1590 1600 METERS /SEC 0 ;, 100 0.5 as at aoe =a 40° 45° 50° 55% 60" 65° 70' 75% 80% 85'y TEMPERATURE (°F) 200 | al i 1.0 300 T | 400 nes 0°! > 4 6° 8° 10° 12° 14° 16° 18° 20°)-KY-22°-\ 24°-h+ 26° 28°] 30°} TEMPERATURE (°C) 1.5 ! 64 300 2 - 3 1000 | 4 BB | | : | 4 | T ! 6 | Ty | t T . 2000 7 | Tt | | T 8 if it it i ; | | = h im @ | 1 wn i 1 i-4 | w 9 | + t Ww 10. - i - i 3000 = t col & 11 SALINITY CORRECTION t t Le 3 ‘a SALINITY (°/, ,) a Fa) } an a 13 30 5 | LI 4000 t = 14 t 40 ie om ta T 15 H ~ 5 Eo 16 = | i H | a It i | £ 50 - {31 $3345] 37439f 41 10 O ‘ C 5000 179] wo Z LAS 5 ots 10 155 20 25++11 30} 32}34136}38}40 2 i 18K] = pie & 60 a if rH 1) Fi ; t 19 = : Lue i 4 + I a - t i 6000 20 20F} 70 } : t t t T T 21 ea | 25 CI i 22 80 [ | | [ i 7000 23 —50 —45 —40 —35 —30 —25 —20 —I5 —10 —5 0 5 Tom ~ T METERS /SEC + 24 ol or ro ott ~150—140 -130 -120 -110 -100 -90 —80 -70 -60 -50 -40 -30 -20 -10 fo) 10 20 30 25 FEET/SEC SOUND SPEED CORRECTION FOR SAUNITY it }_} 26 T SOUND SPEED NOMOGRAM (BASED ON WILSON’S EQUATION) HO.N29167@2-c35 FEET/SEC : 8000 1430 1440 1450 1460 1470 1480 1490 1500 1510 1520 1530 1540 1550 1560 1570 1580 1590 1600 METERS/SEC 4700 4800 4900 5000 5100 5200 5 DEPTH (THOUSANDS OF FEET) SOUND SPEED NOMOGRAM (BASED ON WILSON’S EQUATION) SP 58 4700 4900 5000 5100 5200 FEET/SEC 1430 1490 1500 1530 1540 1550 1560 1600 METERS/SEC i) | 100 0.5 +-|50° 55 70 804 85%¢ TEMPERATURE ("F) 200 1.0 300 T 400 15 105 12° 18° 20° aay 24° 26° 28° 4; 30°} TEMPERATURE (°C) 64 500 2 =: sh 3 if 1000 4 5 I l I 6 + 2000 i, if if if T | 1 | 8 t t an T T a T 9 ; w w 10 3000 = 7 oh a = * SALINITY CORRECTION f a 196; qf S 12 25 October ) y) SALINITY eZ. ) ~ : : uw ie c | 4000 14 ri i 15 16 L h f —+— o - 5000 17 = iz t = It 18 5 2 < é | [ A T I 19 2 i | j = I 20 zs , 6000 4 21 | 22 I 23 7000 25. —20 24 METERS /SEC 25 -160 —150—140 —130-120-110-100 ~90 -80 ~—70 -60 -50 -40 -30 -20 -10 © 10 20 30 ~ FEET/SECOND | SOUND SPEED CORRECTION FOR SAUNITY 1 26 ; I 8000 1430 1440 1450 1460 1470 1480 1490 1500 1510 1520 1530 1540 1550 1560 1570 1580 1590 1600 METERS/SEC 4700 4800 4900 5000 5100 5200 FEET/SEC HO.N916782-C35 5 “SYaLaWwn d LGAs | [4 000‘ 1-0006} | % 0008-0002] [40009-0005] [ut 000%-00Sq fur 0002-0001 | ux 008-0 | 18 298 /UIT'6LFI ------ das, 4 44 + 8p + 9A + IA + 16H = A ‘paadg punog das /W0'0 = GBA -----9,26°% “MHIL‘ZE ‘79/84 s*€g tepun ‘9 aIqeL word SEA ery SOR De2S°F Tepun ‘g atqey worg des /urz*¢e~- = SQ were rere nner ener ------ MIL°ZE Tepun ‘F atqe]y, uiolg des /urg'od = 9A Serer SasesSSereersH=-= "387 .09 Tapun ‘¢ afqey, wor Des//Ox'9"Z9PT =) GA + 1 6yP === a-= ss ===== zu /8¥ c*€g repun ‘]T aTqeL wosg "76°F = Fanjersduray, ‘omTL°ze = Aqrurres ‘09 = epnzeT ‘puto /3% $°€8 = eanssetid ‘ueatH *(umouy oinsseid njts ut) poads punos sutuiiszeq ‘vy o[durexq *puooas /j29J 03 puodas/siazayW{ - uOTsraAuOD paads punog —- *) aTqeL dys) ‘gainssaid pue ‘aainjzereduray, ‘Ayturtes ur sodueys snosuez~Muys roy ‘(S98 /ur [*6FF1) OK ‘paeds punos 0} uotjDa1I0D - ‘9 aTqeL oN *(D.) aanzeroduray, ut saBueyo sz0j ‘(D098/ur ['6PFT) On ‘peeds punos 03 uoTJDaII0D - ‘Gg 2T1qeL Bern ‘(0%) AyrutjTeg ut saBueyo r0jz ‘(D98/uI 1° 6PHhT) Ba ‘peeds punos 0} uoT}IeIIOD - “fF 2TGeL aA ‘yidaq-apnyyeT ut sa8ueyo ro; ‘(998 /ur [°6¢F1) CA ‘paeds punos 03 uoTJDaeII0D - “¢ aTqeL dy "(9.0 ‘GE Sutuinsse paatiop seanssaid) ‘(szajaur) yJdaq ut sadueys z10j; pazdeai109 ‘(998/urI [*6PHT) ©, ‘paads punog - ‘2 atqeL dy *(,ur9 /34) ainssdid ut sadueys 10 pajydea109 (998s/ur [*6FFT) ©, ‘peads punog - “{ aTqeL SATaVL Gaads GNNOS ‘AI SATAVL GaadS GNNOS ‘II Luvd O°999L!] O9ZL | H°S6EOL{/OLIL | 2Z°CL9L]} O96} L°9SSt} OLB | B°SSSL}] 099 | B°ESSl] OLS | E°BOSL] OVE | Er°EBht] OL? 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Oy OO Oe OP Oe: Cee Oy OY 185.01 10s OO OM Sees © <> 0256 ' AO Oe OU cere SEAR G6 F's 8, OU Cl cell cael cell el cael etl etl coal ce ce el el ce cel el renee me—oocccccec0ccCCoCSD Wise, i Ry ae ee Fm Ut me Pt Dea eat Wiel J I Weal We al J oJ | PL at Wel | Ke al IP FR es ES OMONMOMOMOMONMONMONSO CSCOFKNNMMSFTMONOORE- © 5.5} 5.8 4.8) 5.1 yok He Si heb 3-1) 3.4] 3-7] 4 3.6 2.7 2-6 4.9 4.8 3.9 3.3 29 yeu 3.8] 4.1 3.5 2.8] 3.1 2.7 2.6 2.5 24 2.3 2.2 2.) 205 2-4 2A 2) 2.2 2.1 4.0) 4.3] 4.6 3.8) 4.1 326 3.3 3.2 3.1 3.0 2.9 44 3.5 3e4 el 2.0 2.8 ott 2.5 2.4 le. 3-8] 4.1 3-6 3.5 3.2 3.1 2.9 2.9 1.9 1.8 1.7 1.6 1.5 1.5 Te4 =) 3.3 322 3-0 2.9 2.8 2.7 2.0 1.9 2.8 2.6 2e5 5)5 5) 3.3 3.1 O=)) 55) 2-0} 2.2] 2.4 2-1] 2.3 2.1 1.8 1.7 1.6 1.6 1.5 3.6 3.2 3.0 2.8 2.6 2.9 2.7 2.6 1.8 Weil 1.6 1.5 2.3 2.8 2.6 2.4 1.9 1.5 1.4 202) 204 2.2 2.1 2.1 2.0 1.9 1.7 1.6 1.8 1.7 1.6 1.4 4 1.3 Ae DreFwoonsarasrMNnnr-ooece e - w ° - 0.5] 0.8] 1.1 0.8 es 0.2 -—-— 7 ° = 1.1 1.1 ” e — o ° - ° - N e 1.0 0.9 0.7 0.5 0.4 0.2 -0.0 -0.0 -0.3 -0.3 -0..3 =Ol5 -0.2 -0.2 -0.5 (0) 55) -0.5 -0.5 -0.4 23.0 e - N ) 0.7 0.2 0.2 0.2 0.2 23.5 e - 0.7 0.6 0.6 O.4 O.4 0.4 -0.0 24.0 e = 0.8 0.8 0.8 0.7 -0.0 24.5 ° - Oo ° — -0.0 -0.0 0.0 25.0 ee -— 1.0 ao ° o 0.2} O44} 0.6 -0.2 0.1] 0.3] 0.5 -0.4 -0.4 25-5 26.0 ° - 0.7 0.6 0.5 0.5 e _ 0.3 ee oo on ee oo 0.3 0.3 0.2 0.2 0.2 0.1 -0.0} 0.1 -0.0 -0.0 -0.2 -0.1 -0.3 28.0 2-3) 2.4 ASW AG "2 Ve Tiie2e0 1.7) 1.8 1.0 0.8] 0.8 0.6 0.6 0.0; 0.0 -0.2/-0.2 -0.4)-0.4 -0.6)-0.6 -0.7 -0.8 -1.0 SU iS Un7 -1.9/-2.0 Die -2.4 6 -2.1 —-2.3 1.9 1.7 1.6 1.4 0.7 0.5 2.1 -1.3/-1.3/-1.4 -0.9|-0.9 —1.2/-1.3]-1.3/-1.4 |-1.4{-1.5/-1.6 -0.0 =Olez -O0.4 -0.6 —-0.7 Soil -1.8 -2.0 Oe -2.3 =. 0.8] 0.9 0.6 0.4 0.3 0.1 1.6 -0.1 1.9 1.8 1.4 1.3 0.9 2.) —1.6/-1.6/-1.7/-1.8 -0.2 -0.4 -0.6 -0.7 -0.9 =1.1 -1.2 aie U5 -2.1 2.2 1.9 1.8 1.6 1.5 1.3 1.2 1.0 0.8 0.7 0.5 O.4 0.2 0.1 (05.1) -0.2 -0.4 -0.6 -0.7 -0.9 -1.0 —1.2 Sos) -1.6 —ynits! -1.9 -2.1 1.9 1.8 1.5 1.2 1.0 0.9 0.8 0.6 0.5 0.3 0.2 0.0 -0.1 -O0.4 —0.7 -1.0 -1.1 -1.5 -2.0 1.3 1.1 0.9 0.8 (O}e57/ 0.5 0.4 0.3 0.1 0.0 -0.1 =0%35)|—0.3 -0.4 -0.7 -0.8/-0.8 -1.1 -1.3)/-1.4 —-1.5 -1.6/-1.7 -1.8 Wave 1.0 0.8 0.7 0.5 O.4 One 0.1 -0.0 0.6 =(0/55)\—O0)e 5) Oe SVWots|| SGT eats} -0.1] -0.3 -O.4 -0.6 (0)5 U/ -0.9|/-0.9 -1.0 Vell =e -1.4 So) SVots 1.4 1.1 0.9 0.7 0.6 0.5 0.4 0.3 0.2 0.1 -0.0 -0.1 -0.3 -0.4 -0.5 -0.6 -0.7 -0.8 -0.9 -1.0 -1.1 Nia -1.4 05) -1.6 0.7 0.4 0.2 0.1 -0.0 -0.1 -0.2 -0.3 -O.4 -0.5 -0.6 -0.7 -0.8 -0.9 -1.0 -1.1 =U =ileis -1.4 0.6 0.0 {5 -0.1 -0.2 -0.3 -0.4 -0.5 -0.6 -0.7 -0.8 -0.8 -0.9 -1.0 -1.1 -1.2 =a! 0.6 0.0 -0.1 -0.2 -0.3 -O.4 -0.4 -0.5 -0.6 WSU -0.8 -0.8 -0.9 —-1.0 -1.1 -1.1 -0.1 0.4] O25 -0.0; 0.0 -0.1 -0.1 -0.1/-0.1 -0.2/-0.2 -0.2)/-0.3 -0.3/-0.3 -0.3/-0.4 -0.4/-0.5 -0.4)-0.5 =-0.5 -0.6 -0.6|-0.7 -0.7/-0.8 -0.7/-0.9 -0.8/-0.9 -0.7/-0.8|-1.0 0.5 0.3 0.1 0.0 -0.0 -0.1 -0.1 -0.) -0.2 -0.2 =Os5 -0.3 -0.4 -O0.4 -0.4 -0.5 -0.6 -0.6 0.1 0.4 0.1 0.3 0.1 0.3 O.2] 0.3 0.2) 0.2 O.1} 0.2 O.1} 0.1 0.0] O.1}) 0.1 0.0; 0.0] 0.1 0-0} 0.0; 0.0 -0.0| 0.0} 0.0 -0.0/-0.0}]-0.0 -0.0}-0.0]-0.0 -0.0/-0.1/}-0.1 -0.0}/-0.1/-0.1 -0.0/-0.1/-0.1 -0-1}-0.1}-0.2 -0.1/-0.1}-0.2 -0.1/-0.2]-0.2 -0.1/-0.2/-0.3 -0.1)-0.2]-0.3 -0.1}/-0.2 -0.3 -0.1/-0.2}-0.4/-0.5|/-0.6/-0.7 -0.3)-0.4 -0.1/-0.3})-0.4 -0.1/-0.3)-0.5 —0.2j-0.3|-0.5 -0.0 -0.0} 0.0 -0.0 -0.0 -0.0 -0.0 -0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 el (53) 0.2| 0.0/-0.1 0.0} 0.0 -0.3 =Ols2)||\—Olet -0.2|/-0.1 -0.1/-0.1 -0.1}/-0.0 -0.0);-0.0 -0.0/-0.0 -0.0/ -0.0 0.0}; 0.0 0.0; 0.0 0.1} 0.0 0.1 0.2} 0.1 0.2} 0.1 0.2 0.3 0.3} 0.2 0.3 0.3} 0.2 O.4} 0.2 O.4} 0.2] 0.0 28.5 29.0 29.5 32.0 32.5 33.0 33.5 34.0 34.5 35.0 35.5 38.0 38.5 39.0 39.5 40.0 40.5 41.0 41.5 42.0 TABLE 6. CORRECTION TO SOUND SPEED, Nia (1449.1 m/sec), FOR SIMULTANEOUS CHANGES IN 1000 METERS (104.09 kg/cm?) - Continued SALINITY, TEMPERATURE, AND PRESSURE, Vetp ANODWDANODODWOANODWANODWOANCDVWANOD 6 © © 6 10 fo 6 © ie K0)\"0. ie ie, ete ie) te, foe Je) se. te ‘ste. @ 6's 8 ee m~mr ROCCO OCoOoOoOenDnnnamaanrnnrrrwowooowon — Cl ell eel oll ol oe el od ioe) oh) Discs 23 ]13 el 13.0 20}12 14.3 o3)14.1 13.9 12.9)13.7 08 22 °2/12.0 28 6 none . . . een 07413 0611224 4112 9.9 i>) ° o 8.8 o) ° ao 8.4 N . oO 8.0 7.8 T.7 6.9 ~ . oO 6.5 6.3 6.2 5.8 5.6 5.4 ° . So] VW wo . wo 10.3]11.0j]11 9.9/10.6 9.4 110.1 9.2 ews ee @ ooo 11.9 /12 W.e3)12.1 11.2 10.8/11 10.6/}11 8.2 8.0 7.8 7.7 tas 7.3 T.1 6.9 6.8 6.6 6.4 6.2 6.1 5.9 5.7 5.4 5.2 5.0 10.9 }11.7/12 10.7 )11.5)12 2 02 411.0 /11.8/12.6 9.7 )10.5 11.1 9.8/10.6 10.4 10 9.3 |10.1 969 9.6 94 Ne 8.8 8.6 8.4 8.3 8.1 1.9 728 7.6 Teh 1.3 7.1 6.9 6.8 6.6 6-4 6.3 6.1 5.9 5.8 5.6 5.5 a2) 5.0 4.8 4.6 9.9 9.2 20 8.9 ae 7.8 726 7.5 Wares "or 7.0 6.9 5.9 5.8 5-6 5-5 5-3 5.0 4.9 4.7 4.6 4.4 9.6 9.5 8.7 8.6 8.4 8.3 6.7 6.6 604 6.3 6.1 5.2 10.9|11.7/12.6/13.5 8.1 10.7/11.6 |12.4 113 10.6)11.4 {12.2 )13.1 10.4)11.2 |12.1 10.2 9.3|10.1 9.9 9.7 9.6 Deh 9.2 9.0 8.9 8.7 8.6 8.5 8.3 8.2 8.0 7.9 Te? 726 7.5 te3 7.2 7.0 6.9 6.7 6.6 6.5 6.3 6.2 6.0 5.9 5.7 5-6 5.5 5.3 5-2 5.0 4.9 4.7 4.6 4.5 4.3 4.2 4.0 3.9 | 423 9.2 |10.0 9.0 8.9 8.8 8.7 Bed 8.4 8.3 8.1 8.0 Mon? Tel 1.6 7.5 1.3 1.2 6.9 6.8 6.7 6.6 6.4 6.3 6.2 6.0 5.9 5.8 5.6 5.5 5-4 5.2 5.1 5.0 4.8 4.7 4.6 4.5 4.3 3.8 | 4.2 3.9 3.8 3.7 3.5 7.5] 8.4 8.2 8.1 8.9 T29 7.8 T26 7.5 To4 1.3 7.2 7.0 6.9 6.8 6.7 6.6 6.4 6.3 6.2 6.1 6.0 5-8 5.7 5.6 BiG 5) 5.4 5-2 5.1 5.0 4.9 4.8 4.6 4.5 4e4 +e | 4.0 SIGS) |) SiGe) 3.7 SiS) 364 Teh 7.3 1.2 Te.) 7.0 6.9 6.8 6.7 6.4 6.3 602 6.1 6.0 5.9 5.8 5.7 5.6 5.5 5e4 5-2 5.1] 5.0 4.9 4.3 4.7 4.6 4.5 44 4.3 4.2 3.6] 4.0 369 3.8) 4.3 3.6 3.4 Ses Ss 3.1 3 2 6.7 6.6 6.5 6.4 6.3 6.2 6.0 5.9 5-8| 626 5.7 5.6 526 Sve 5.4 5-3 5.2 5.1 5-0 4.9 4.8 4.7 4.6 4.5 4.4 4.3 4.2 ye] 4.0 3.9 3.8 Sieilt 3.5 3.4 Sadi Set 3.2 3.1 3.0 2.9 2.8 2.7 6.1 5-9 5.8 Sole 5.7 5.6 3)0 3) 5-4 5.3 5-2 5.1 5.1 5.0 4.9 4.7 4.6 4.5 4.5 4o4 4.3 4.2 4.) 4.0 3.9 3.8 3.8 3.7 3.6 355 3.4 3.3 Sa2 Sine 3.1 3.0 2-9 2.8 2.7 2-6 2-5 Aka '5} 2.4 5.1 5.1 5.0 4.9 4.8 4.8 4.7 4.6 4.5 Koy Key 4.3 4.2 4.1 4.1 4.0 3-9 3.8 3-8 3.7 3.6 3.5 3-5 3.4 3-3 322 3.2 3.1 3.0 2.9 2.9 2.8 2.7 2.6 2.6 POPS 2-4 2-3 2.3 Dae 2.1 2.0 2.0 ) 1.6 1.8 1.7 1.6 1.6 3-6} 4.3 365 | 4.3 3e5| 4e2 3-4 | 4.1 4.1 4.0 4.0 3.9 OW We sinks} Sel | sa8 3.7 3.6 3.6 3605 3.4 3.4 3.3 3.3 3.2 3.1 3. 3.0 2.9 2.9 2.8 2.7 PT 2.6 2.0} 2.4 1.9 | 2.4 Ta? | 2635 1.8 | 2.2 1.8 | 2.2 TaZionh 1.7 | 2.0 1.6 | 2.0 1.6 | 1 1.5 1.4 1.4 3 1.3 3.3 323 3.2 322 3.0 3.0 2-9 PP) 2.8 2-8 2.7 2.7 2.6 2.6 2.5 2.5 2-4 2-3 2.3 262 2-2 2.1 2.1 2 2.8 2.7 2.7 Ziel 2.6 2.6 2.5 2.5 2.5 2-4 2.4 263 2.3 2.2 2-2 2.2 2. 2.1 2.0 2.0 2.0 1.9 1.9 8 1.8 7 1.7 lot 1.6 6 1.5 5 1.5 1.4 1.4 1.3 1.3 1.2 1.2 1.2 ] ] 1.0 1.0 1.9 1.9 1.9 1.8 1.8 1.8 1.8 1.7 1.7 1.7 1.6 1.6 6 1.5 1.5 1.5 1.4 1.4 1.4 1.4 1.3 1.3 1.3 1.2 1.2 1.2 1 1.0 1.0 1.0 2.0 2.0 0.9 0.9 0.9 0.8 0.8 0.8 0.7 0.7 1.3 | 2.0 1.2 1.2 1.2 1.2 1.2 1.2 1.0 1.0 1.0 0) 1.0 0.9 0.9 0.9 0.9 0.9 0.8 0.8 0.8 0.8 0.8 0.7 0.7 0.7 0.7 0.6 0-6 0.6 0.6 0.6 0.5 0.5 0.5 0.5 0.5 0.4 1.1 1.1 1.1 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 Ole -0.2 0.2 -0.2 -0.2 -0.2 -0.2 -0.2 -0.2 -0.2 -0.2 -0.2 =Olee -0.2 -0.2 -0.2 -0.2 -0.2 -0.2 -0.2 -0.2 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 =O -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 = iva =Orea -0.1 -0.1 -1.0 -1.0 -0.9 -0.9 -0.9 -0.9 -0.9 -0.9 -0.9 -0.8 -0.8 = Olt -0.7 -0.7 -0.7 -0.7 -0.7 -0.7 -0.6 -0.6 -0.6 -0.6 -0.6 -0.6 -0.5 -0.5 -0.5 =O'5 -0.5 =Oiss -0.4 -0.4 -O0.4 -0.4 -O.4 -O.4 -0.4 -0.3 =lWert Weill -1.7 -1.6 —166 -1.6 =ie5 =—1.5 -1.5 -1.4 =1.3 =11.3 = lies =Ne2 -1.2 Were =le2 =iienl Ee =ilet =61 -1.0 -1.0 -1.0 -1.0 -0.9 -0.9 -0.9 -0.8 -0.8 -0.8 =Oleit =Olsir, =O\.7 =O -0.6 -0.6 -0.6 0.0 0.5 1.0 le 2.0 Ze5 3.0 365 4.0 4.5 6.5 7.0 7.5 8.0 8.5 9.0 9.5 10.0 10.5 11.0 11.5 12.0 12.5 13.0 13.5 14.0 14.5 15.0 15.5 16.5 17.0 iar 18.0 18.5 19.0 19.5 20.0 20.5 21.0 21.5 32 4.8 4.5) 4.8 4.5 4.0 3-8] 4.1 3.6 4.1 3.9 3.8 3.6 3.5 SoS 3.7 3.6 3-5 Ses 3.2 3.4 3013 3.1 3.0 2.9 2.7 2.6 2.5 2.8 2.7 2-6 2.7| 3.1 Oe KO «725°? Doe 2.1 2.5 264 eteS 2-4 A250) 2.) 2.0 1.9 1.9 1.8 1.8 1.7 ote 1.6 1.5 1.5 1.5 os! Was) 1.2 1.2 1.0 1.1 1.0 0.9 0.8 0.8 0.7 0.7 0.6 0.6 0.4 0.4 Oo4 0.3 0.2 (0/72 0.1 -0.5/-0.3|-0.1 -0.4 24.0 oan Ke ue ue el 9 Sif 8 6 3e4 3.3 4.0) 4.3 ° 4 . 5 3 3 5 3 3.1 ee nn 3.0 2.9 WOO), a)! 26S) Po) Aas Wo ta) 46 2.2 2.) 1.7 1.6 1.5 1.4 1.4 1.3 0.5| 0.7 0.5| 0.7 0.5) 0.7 0.3 0.3 0.3 0.1 0.1 0.1 -0.1 -0.1 =(lenl -0.3 -0.2 -0.2 -0.2 —Oia2 -0.4 -O.4 24.5 25.0 25.5 4.0 324 3.2 3.0 2.8 2.6 2-4 2.2 2.0 1.8 1.2 1.0 0.8 0.6 0-5 0.3 0.1 —0.1 -0.5 -0.7 -0.9 -1.1 Ves S58) 3.3 Sle2. 3.0 2.8 2.6 2-4 (2572 2.0 1.8 1.7 1.3 1.1 0.9 0.7 0.5 0.3 0.2 -0.0 -0.2 -0.6 -0.8 -1.0 = 1115 —1.3 55 -1.7|-1.7 -l 226) 2e9 2.7 29) 2-4 2-2 1.8 1.7 1.5 1.3 1.0 0.8 O.4 0.3 0.1 -0.1 -0.3 -0.6 -0.8 =e0 S52 =e = 41.555) Silote 3.0 2.8 2.5 2.3 2-2 2.0 1.7 1.5 1.3 1.2 0.8 0.7 0.3 0.2 -0.2 -0.3 -0.6 -0.8 -1.0 ihe ie sss Soe 2.7 2-23] 2.6 2-3 2.1 1.9 1.8 5 1.3 1.2 1.0 0.9 222 760) 2.9 2.4 0.7 0.6 0.3 0.1 =0.2 -0.4 -0.7 -0.8 -1.0 Sou Nise} -1.4 Saw 2-6 205 1.9 1.8 1.6 1.5 1.3 1.2 1.0 0.9 0.8 0.6 0.5 0.3 0.2 0.0 -0.2 -0.4 -0.7 -0.8 -1.0 —iliett Nis. —1.4 2.4 2-2 2.1 2.0 1.8 1.7 1.6 1.4 1.3 Were. 1.0 0.9 0.8 0.6 0.5 0.4 0.3 0.1 -0.0 —Olef -0.8 -0.9 tou aia = eS) Sas aes —Oles -0.4 2.0 1.9 1.7 1.6 1.5 1.4 1.1 1.0 0.9 0.8 0.7 0.5 0.4 0.3 0.2 0.1 -0.1 -0.3 -0.4 = O)ent -0.8 -0.9 -1.0 =I" 1 leet -1.4 1.9 1.8 1.7 1.5 1.4 1.3 1.2 1.0 0.9 0.8 0.7 0.6 0.5 0.3 0.2 0.1 0.0 -0.1 -0.3 -O0-4 -0.7 -0.9 -1.0 Alkan] = 5° Nis -0.6 1.6 1.5 1.4 1.3 1.3 1.2 1.1 0.9 0.8 0.7 0.6 0.5 Q.4 0.3 0.2 0.1 -0.0 -0.4 -0.7 -0.8 -0.9 15 (0) =o i -0.3 -0.6 =jholl —1.2 1.4 1.3 1.3 Wer2 1.1 1.0 0.9 0.8 0.7 0.6 0.6 0.5 0.4 0.3 0.2 0.1 U.0 =-0.0 -0.1 -0.3 -0.4 -0.6 5 7p l0)5 Tr -0.8 -0.9 1.0 =i 1.2 1.1 1.1 1.0 0.9 0.8 0.8 0.7 0.6 0.5 0.5 O44 0.3 0.2 0.1 0.0 -0.1 -0.1) -0.3 -O.4 -0.5 -0.6 AVE 7f =(Olow, -0.8 -0.9 -1.6 1.0 0.9 0.9 0.8 0.8 0.7 0.6 0.6 0.5 0.4 0.4 0.3 0.2 0.0 -0.0 -0.1 -0.1 -0.3 =(0}.55) -0.5 -0.5 -0.6 -0.7 -0.7 -0.8 -0.8 0.8 0.8 0.7 0.7 0.6 0.5 0.5 0.4 O.4 0.3 0.3 0.2 0.0 -0.0 -0.1 -0.1 -0.2 -O.4 -0.5 =O -0.6 -0.6 -0.7 =O 0.6 0.6 0.5 0.5 0.5 0.4 0.3 0.3 0.2 0.2 0.2 -0.0 -0.0 -0.1 -0.1 -0.2 =O)s2-|—055 -0.3 -0.4 -O.4 -0.5 -0.5 -0.5 -0.6 0.4 0.4 0.4 O.4 0.3 0.3 0.2 0.2 0.1 0.1 0.0 -0.0 -0.0 -0.1 -0.1 -0.2 -0.2 -0.3 —( 053) =()5 3} -0.3 -0.4 -0.4 -0.4 0.3 0.2 0.2 0.2 0.1 0.1 0.1 0.1 0.0 0.0 -0.0 -v0.0 -0.1 -0.1 -0.1 -0.1 -0.2 -0.2 05 -0.2 -0.2 -0.3 -0.3 0.1 0.1 0.1 0.1 0.0 0.0 0.0 0.0 0.0 -0.0 =07.0 -0.0 -0.0 -0.0 -0.0 = (Ost =001 -0.1 -0.1 -0.1 =0.1 10) | -0.1 -0.1 -0.1 =O -0.0 -0.0 -0.0 -0.0 -0.0 -0.0 -0.0 -0.0 -0.0 -0.0 -0.0 -0.0 -0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.2 -0.2 -0.1 -0.1 -0.1 -0.1 -0.1 -0.0 -0.0 -0.0 0.0 0.0 0.0 0.0 0.1 el 0.1 0.1 0.1 0.2 0.2 0.2 0.2 -0.4 -0.3 -0.3 -0.3 -0.2 =0.2 -0.2 -0.1 =1)5 1 -0.1 -0.0 -0.0 0.0 0.1 0.1 0.1 0.2 0.2 0.2 0.3 0.3 0.3 0.3 0.4 0.4 0.4 26.0 26.5 27.5 28.0 28.5 29.5 30.0 31.0 31.5 32.0 32.5 33.0 3325 34.0 34.5 35.0 35-5 36.0 36.5 37.0 37-5 38.0 38.5 39.0 39.5 40.0 40.5 41.0 41.5 42.0 1500 METERS (155.81 kg/cm“) TABLE 6. CORRECTION TO SOUND SPEED, V, (1449.1 m/sec). FOR SIMULTANEOUS CHANGES IN SALINITY, TEMPERATURE, AND PRESSURE, Vetp - Continued =. 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