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NAVAL  POSTGRADUATE  SCHOOL 

Monterey,  California 


THESIS 

THE 

1  IMPACT  OF  TECTONIC  ACTIVITY 

IN 

THE  DEVELOPMENT  OF  MONTEREY 
SUBMARINE  CANYON 

by 

Robert  Llcyd  Allen,  Jr. 

March  19  82 

Thesis 

Ad\ 

risors :             E.  C.  Haderlie 

H.  G.  Greene 

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4      TITLE  (•"<*  Submit) 

The  Impact  of  Tectonic  Activity  in  the 
Development  of  Monterey  Submarine  Canyon 


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Robert  Lloyd  Allen,  Jr 


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"».     KEY  WORDS  CCriMur  o«  ••»••••  »ldm  II  n.e...«rr  ■"*  ««**»«<*  *T  Woe*  numbmr) 

Monterey  Submarine  Canyon 
submarine  canyon 
tectonics 


«      ABSTRACT  fCa«iil«u»  an  *•»•-••  Zmt  II  nmwmy  *>*  1 0*f>i I tr  »r  ».oe*  numft) 

Evidence  is  presented  that  indicates  that  Monterey 
Submarine  Canyon  was  once  the  terminus  ot  a  major  land 
drainage  system.   This  PreTexisti ngdr ainage  sys t^ 

in  evidence  today  because  it  has  Deen .  al^ere^?YH,^5  on 
along  the  San  Andreas  Fault.   A  numerical  model  based  on 
conservation  of  mass  and  plate  tectonic  reconstruction  is 
utilized  to  reconstruct  the  topography  of  the  region  as 


DO  1473  EDITION  OF    I   NOV  »»  IS  OBSOLETE 

S/N    1  102-0  14*  MO  1 


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ic-jjiT"  :--i4ai/iCAT!ON  o-  -his  »-g«  •  •*•»  ^-'-  »"»•'•«-) 


UNCLASSIFIED 


f^cu'-T*  :i  a»»i»iC«  "9n  a«  T»'*  »*««'■»■■■■«»» 


(20.   ABSTRACT   Continued) 

appeared  prior  to  onset  of  motion  along  the  San  Andreas  Fault 
Model  results  indicate  that  the  Colorado  River  may  have 
drained  into  Monterey  Bay  during  early  Miocene  time. 


DD  .  ForrTJ„   1473  2    ^CLASSIFIED 


Approved  for  public  release;  distribution  unlimited 

The  Impact  of  Tectonic  Activity 
in  the  Development  of  Monterey 
Submarine  Canyon 


bv 


Robert  Lloyd  Allen,  Jr. 
Lieutenant,  United  States  Navy 
.  S.,  Florida  State  University,  1975 


Submitted  in  partial  fulfillment  of  the 
requirements  for  the  degree  of 


MASTER  OF  SCIENCE  IN  METEOROLOGY  AND  OCEANOGRAPHY 

from  the 

NAVAL  POSTGRADUATE  SCHOOL 
March,  19  8  2 


ABSTRACT 

Evidence  is  presented  that  indicates  that  Monterey  Sub- 
marine Canyon  was  once  the  terminus  of  a  major  land  drainage 
system.   This  pre-existing  drainage  system  is  not  in  evidence 
today  because  it  has  been  altered  by  displacement  along  the 
San  Andreas  Fault.   A  numerical  model  based  on  conservation 
of  mass  and  plate  tectonic  reconstructions  is  utilized  to 
reconstruct  the  topography  of  the  region  as  it  appeared  prior 
to  onset  of  motion  along  the  San  Andreas  Fault.   Model  results 
indicate   that  the  Colorado  River  may  have  drained  into 
Monterey  Bay  during  early  Miocene  time. 


TABLE  OF  CONTENTS 

I.  INTRODUCTION  

II.  PROCEDURE 14 

III.  RESULTS 45 

IV.  CONCLUSIONS  51 

LITERATURE  CITED  52 

LIST  OF  REFERENCES 54 

INITIAL  DISTRIBUTION  LIST  55 


ACKNOWLEDGMENTS 

This  study  would  not  have  been  possible  without  the  efforts 
of  my  co-advisors;  Dist.  Prof.  E.  C.  Haderlie  of  the  Naval 
Postgraduate  School  and  Dr.  H.  G.  Greene  of  the  U.  S.  Geologi- 
cal Survey. 

Dr.  Haderlie 's  support  and  guidance  were  the  lifeblood 
of  this  thesis  during  the  early  going.   His  unparalleled 
scientific  curiosity  and  foresight  literally  made  this  study 
possible. 

Dr.  Greene  agreed  to  co-advise  in  spite  of  a  heavy  work 
load  with  the  U.  S.  Geological  Survey.   I  was  indeed  fortun- 
ate to  have  the  foremost  authority  on  the  geology  of  Monterey 
Bay  as  a  co-advisor. 

Two  very  capable  members  of  the  NPS  Meteorology  Department 
provided  valuable  assistance.   Prof.  R.  T.  Williams  was  very 
helpful  with  model  design  and  trouble-shooting  suggestions. 
P.  W.  Phoebus,  an  outstanding  programmer,  provided  much  needed 
technical  assistance  in  programming. 

Most  of  all,  I  would  like  to  thank  my  wife,  Teresa,  who 
shared  in  all  the  ups  and  downs  from  beginning  to  end,  and 
who  is  a  constant  source  of  inspiration  to  me. 


I.   INTRODUCTION 

Monterey  Submarine  Canyon  is  the  largest  of  the  California 
submarine  canyons.   Traced  seaward  from  its  head  near  Elkhorn 
Slough  in  Monterey  Bay,  the  canyon  axis  follows  a  meandering 
path  for  approximately  100  km  before  emerging  as  a  fan  valley 
at  a  depth  of  about  3  km  (Figure  1) .   From  this  point,  the 
fan  valley  can  be  traced  for  another  400  km  across  the  Monterey 

deep-sea  fan.   The  volumes  of  the  canyon  and  the  fan  have  been 

3  3 

estimated  to  be  450  km   and  30,000  km  respectively  (Menard, 

1960).   The  walls  of  the  canyon  are  approximately  1,500  m  high 

at  one  point,  producing  relief  comparable  to  that  of  the  Grand 

Canyon  of  the  Colorado  River  (Figure  2) . 

Such  is  the  magnitude  of  this  feature  that  two  of  its 
tributaries  have  been  named.   Carmel  Canyon  branches  south 
and  heads  very  close  to  shore  off  Monastery  Beach  in  Carmel 
Bay.   Soquel  Canyon  branches  northward  near  the  canyon  head 
and  extends  toward  the  town  of  Soquel,  east  of  Santa  Cruz. 

The  major  canyon  axis  follows  a  fault  contact  near  the 
head  and  is  flanked  by  Tertiary  sediments  on  both  sides.   At 
its  outer  limits;  beyond  about  20  km  from  its  head  at  Elkhorn 
Slough,  there  is  no  indication  of  faulting  along  the  canyon 
axis  and  the  canyon  course  is  purely  erosional  (Greene,  1977). 
Soquel  Canyon  is  cut  entirely  in  poorly  indurated  seimentary 
strata,  while.  Carmel  Canyon  is  eroded  in  granodiorite  on  the 
east  and  highly  indurated  sedimentary  rocks  on  the  west. 


Figure  1,   The  Monterey  and  Carmel  Submarine  Canyons 

off  the  central  California  Coast.   (Diagram 
by  Tau  Rho  Alpha,  USGS) 


-360 


-2772 


Grand  Canvon 
of  the  Colorado 


r2600 


Figure  2.   A  comparison  of  the  profiles  of  the  Grand 

Canyon  of  the  Colorado  River  and  the  Monterey 
Submarine  Canyon,  showing  them  to  have  similar 
relief.   Elevations  relative  to  sea  level  are 
given  in  feet.   Vertical  exaggeration  is  5X. 
(After  F.  P.  Shepard,  Submarine  Geology,  3rd 
Ed.,  Harper  and  Row,  19  7  3.) 


Like  many  of  the  submarine  canyons  along  the  California 
coast,  Monterey  Canyon  does  not  lie  seaward  of  a  large  land 
drainage  system.   The  Salinas  River  is  the  largest  of 
several  small  rivers  which  drain  into  Monterey  Bay,  all  of 
which  appear  diminutive  in  comparison  with  Monterey  Canyon. 
An  explanation  of  this  enigma  was  proposed  by  Martin  and  Emery 
(196  7)  when  they  suggested  that  Monterey  Canyon  had  received 
drainage  from  the  Great  Valley  of  California,  through  the  San 
Francisco  Bay  region  during  late  Miocene,  Pliocene  and  early 
Pleistocene  time.   Although  some  questions  were  answered  by 
this  hypothesis,  others  remain  unanswered.   Martin  and  Emery 
noted  that  the  amount  of  material  in  Monterey  Fan  could  not 
have  resulted  from  the  Great  Valley  connection  which  they 
proposed.   In  addition,  they  noted  the  existence  of  buried 
erosional  features  which  led  them  to  conclude  that  Monterey 
Canyon  is  a  re-excavation  of  a  pre-existing  submarine  canyon. 
As  Martin  and  Emery  noted,  these  buried  erosional  features, 
Elkhorn  Erosion  Surface  and  Pajaro  Gorge,  pre-dated  their 
Great  Valley  Connection.   The  age  and  size  of  this  pre-existing 
canyon  were  established  by  Greene  (19  77)  using  seismic  profiling 
techniques.   Greene's  profiles  confirm  the  fact  that  this  pre- 
existing canyon  existed  prior  to  early  Miocene  time  and  is 
still  not  entirely  re-excavated  in  some  areas  (Figure  3) . 
Greene's  evidence  indicates  that  the  lower  reaches  of  Monterey 
Canyon  have  been  displaced  northward  and  are  represented  today 
by  Pioneer  and  Ascension  Canyons.   According  to  Greene's  theory, 


10 


Figure  3.   Basement  contour  map  Monterey  Bay  Region, 
California  (from  Greene,  1977) 


11 


displacements  along  the  Palo  Colorado-San  Gregorio  Fault  and 
the  Ascension  Fault  over  the  past  20  million  years  may  have 
moved  these  canyons  into  their  present  positions. 

Although  it  is  presently  one  of  the  largest  submarine 
canyons  in  the  world,  there  is  evidence  to  indicate  that 
Monterey  Canyon  is  an  incomplete  re-excavation  of  a  larger 
canyon.   The  mechanism  involved  in  excavation  of  this  earlier 
canyon  and  creation  of  Monterey  Fan  is  unknown. 

One  possible  explanation  is  that  Monterey  Canyon  was  the 
terminus  of  a  large  land  drainage  system  which  existed  in 
pre-early  Miocene  time.   Large  scale  deformation  of  topography 
since  early  Miocene  has  removed  the  canyon  from  its  source 
and  produced  changes  in  the  drainage  patterns  of  the  area 
(Clark  and  Rietman,  19  73;  Greene,  19  77;  Martin  and  Emery, 
19  67;  Starke  and  Howard,  19  68) . 

The  topographic  changes  which  have  occurred  since  early 
Miocene  along  the  west  coast  of  North  America  have  been  exten- 
sive.  About  30  million  years  ago,  during  Oligocene  time,  the 
East  Pacific  Rise  came  in  contact  with  the  North  American 
Plate.   Relative  motion  between  the  Pacific  and  North  Ameri- 
can plates  came  to  be  expressed  along  right  lateral  strike- 
slip  faults  on  the  continental  margin.   During  early  Miocene 
time,  the  zone  of  strike-slip  faulting  between  the  Pacific 
and  North  American  Plates  shifted  inland  to  the  San  Andreas 
Fault.   Since  its  inception,  approximately  300  km  of  right 
slip  has  occurred  along  the  San  Andreas  Fault  (Crowell,  1962)  . 


12 


Such  large-scale  motion  would  undoubtedly  have  had  great  im- 
pact on  any  pre-existing  drainage  system.   Reconstruction  of 
topography  as  it  existed  prior  to  the  onset  of  motion  on  the 
San  Andreas  Fault  is  difficult.   Motion  along  the  fault  has 
not  been  constant  in  either  speed  or  azimuth  over  this  inter- 
val.  In  addition,  compressional  forces  along  the  fault  have 
uplifted  areas  resulting  in  the  creation  of  new  topographic 
features  (Greene,  1977). 

Due  to  the  complexity  of  the  problem,  a  numerical  model 
is  utilized  to  reconstruct  the  topography  of  the  area  as  it 
appeared  in  early  Miocene  time.   The  model  simply  reverses 
motion  along  the  San  Andreas  Fault  utilizing  data  from  plate 
tectonic  reconstructions  and  imposing  mass  conservation.   It 
does  not  reverse  the  effects  of  erosion  or  deposition,  motion 
along  other  faults,  or  any  other  forces.   However,  since  motion 
along  the  San  Andreas  Fault  has  contributed  greatly  to  the 
alteration  of  topography  since  the  early  Miocene,  results  from 
such  a  model  may  be  expected  to  provide  useful  insights  into 
early  Miocene  topography. 


13 


II.   PROCEDURE 

The  model  was  designed  to  simulate  a  reversal  of  the 
motion  which  has  occurred  along  the  San  Andreas  Fault  over 
the  past  21  million  years.   In  simulating  this  reversal, 
mass  must  be  conserved.   The  conservation  of  mass  states 
that: 


dm     3m   ■*   ±  ±        ■*■  n  , ,  , 

^r;  =   ^-+v-7m  +  mV-v   =   0/  (1) 


where 

m  =   mass, 

t   =   time,  and 

v  =   velocity. 

In  other  words,  the  total  change  in  mass  is  equal  to  the  local 
time  change  plus  mass  flux  divergence.   Since  the  total  change 
is  zero,  mass  is  conserved  and  the  local  change  must  balance 
transport: 


|?  =   -  v  •  7m  -  mV  •  v.  (2) 


Since  total  mass  equals  mass  density  (p)  times  total  volume 
(V) ,  then: 

^g±-     =   -  v  •  7(pV)  -  pVV  •  v  (3) 


14 


If  we  assume  that  density  is  constant  in  space  and  time, 
it  can  be  eliminated: 


£JL  =   _  v  .  VV  -  VV  •  v  (4) 


Finally,  when  dealing  with  a  unit  area,  volume  is  ex- 
pressed in  height  above/below  sea  level  (h)  (Equation  (5) 


3h        ■*•        -±  ±        ■*■ 

~  =   -  v  •  Vh  -  hV  •  v  (5) 


From  Equation  (5) ,  with  an  initial  height  field  and  a 
velocity  field,  topographic  changes  in  time  may  be  predicted. 

The  height  field  is  a  70  x  64  array  of  topographic  and 
bathymetric  heights  as  illustrated  in  Figure  4 .   The  grid 
interval  is  10  minutes  of  longitude  in  the  x  direction  and 
10  minutes  of  latitude  in  the  y  direction  (15.2  and  18.5  km, 
respectively) .   This  interval  in  the  x  direction  corresponds 
to  true  grid  spacing  at  35  degrees  north,  and  introduces  a 
departure  from  a  spherical  earth  of  approximately  7%  at  the 
northern  and  southern  extremes. 

While  the  height  field  simply  provides  initialization  for 
the  model,  the  velocity  field  defines  the  fault  and  drives 
the  model.   As  illustrated  in  the  initial  velocity  field 
(Figure  5) ,  the  portion  of  the  grid  which  lies  to  the  east 
of  the  San  Andreas  Fault  is  held  fixed  while  that  portion  to 
the  west  of  the  fault  is  moved  southeastward.   Along  the  fault 


15 


40*20  N 


Fixed  Boundary  Conditions 


125*0'W 


4,080  Data  Points 
70  (x)  x  64  (y) 
Dx  =  15.2  km 
Dy  =  18.5  KM 


133'30'W 


Permeable  Boundary  Conditions 


29*50'N 


Figure  4 .   Grid  features 


16 


Figure  5.   Velocity  field:   0-4.5  million  years  before 
present,  vectors  indicate  direction  and 
relative  magnitude  of  velocity  at  each  point. 


17 


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present,  vectors  indicate  direction  and 
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18 


Figure  7 . 


Velocity  field:   10-21  million  years  before 
present,  vectors  indicate  direction  and 
relative  magnitude  of  velocity  at  each  point. 


19 


itself,  there  is  a  gradation  of  the  velocity  field  as  depicted 
in  Figure  8.   At  the  position  of  the  fault,  the  magnitude  of 
the  velocity  field  is  reduced  by  one-half.   At  the  next  grid 
point  to  the  east,  the  velocity  is  one-quarter  as  large  as 
it  is  in  the  moving  block.   At  the  first  grid  point  to  the 
west  of  the  fault,  velocity  is  three-quarters  as  large  as 
the  velocity  of  the  moving  block.   This  configuration  results 
in  a  zone  of  velocity  gradation  across  the  fault  and  prevents 
the  numerical  instabilities  which  may  arise  from  modelling 
the  fault  as  a  more  severe  velocity  discontinuity.   Previous 
attempts  without  a  gradation  of  velocity  across  the  fault 
resulted  in  unreasonable  topography.   The  components  of  the 
velocity  field,  speed  and  direction,  will  be  discussed 
separately. 

Directions  were  derived  from  an  algorithm  which  generates 
smooth  fields  to  match  directions  at  three  points  where  direc- 
tions are  known  from  plate  tectonic  reconstructions  (Silver 
et  al . ,  unpub .  data) .   Directions  of  relative  motion  between 
the  North  American  and  Pacific  Plates  relative  to  three  points 
on  the  North  American  Plate  during  three  time  intervals  are 
presented  in  Table  I.   Corresponding  values  from  the  model 
algorithm  are  displayed  in  parentheses  for  comparison.  Since 
the  model  simulates  a  reversal  of  motion,  all  directions  are 
reduced  by  180°  to  produce  the  velocity  fields  depicted  in 
Figures  5-7.   These  figures  illustrate  the  velocity  fields 
used  at  different  times  in  the  model.   The  vectors  to  the  left 


20 


KM  W 


15.2 

KM  W 


Fault 
Position 


15.2 

KM  E 


30. 

KM 


I  1  I  1  I 


v  3/w  1/2V  i/w  0 


Figure  8.   Velocity  gradient  along  the  fault 


21 


TABLE  I 
(From  Blake  et  al. ,  1978) 

Azimuth  of  Average  Movement  Direction  of  Pacific 
Plate  Relative  to  Points  on  North  American  Plate 

Values  from  model  algorithms  in  parenthesis 

Age  (my)  36°N,  121. 5°W  33°N,  119°W  26°N,  112°W 

0--4.5  321.2°  (321.2°)  318.6°  (318.5°)  311.7°  (311.7°) 

4.5--10  328.0°  (328.0°)  325.7°  (325.6°)  319.5°  (319.5°) 

10  —  21.2  339.0°  (339.2°)  335.0°  (334.9°)  323.9°  (324.0°) 


side  of  the  figures  represent  the  moving  block.   It  can  be 
seen  that  there  is  a  very  slight  change  in  the  direction  from 
one  end  of  the  field  to  the  other  in  all  three  figures  as 
would  be  expected  from  Table  I.   On  the  right  side  of  each 
figure  is  an  area  with  no  vectors.   This  is  the  stationary 
portion  of  the  grid.   The  shorter  vectors  at  the  intersection 
of  the  stationary  block  and  the  moving  block  represents  the 
fault  zone.   As  previously  discussed,  there  is  a  gradient  in 
the  magnitudes  of  the  velocities  across  the  fault.   This  is 
,  reflected  in  the  comparatively  shorter  vectors  in  the  fault 
zone.   The  actual  position  of  the  San  Andreas  Fault  is  super- 
imposed on  these  figures  for  comparison.   It  can  be  seen  from 
Figures  5-7  and  from  the  values  in  Table  I  that  the  motion 
changes  with  time  to  a  more  westerly  direction  becoming  less 
compressional  and  more  nearly  aligned  with  the  fault  axis. 

Speeds  were  derived  from  a  combination  of  sources.   Plate 
tectonic  reconstruction  (Atwater,  1973)  produces  an  accelerating 


22 


velocity  field  which  would  have  resulted  in  approximately 
610  km  of  offset  if  all  motion  had  been  expressed  as  fault 
displacement.   How  much  of  this  displacement  is  actually 
expressed  in  offsets  along  the  San  Andreas  and  other  faults 
is  unclear.   Evidence  for  a  260  km  offset  along  the  San  Andreas 
Fault  (Crowell,  1962)  establishes  a  conservative  estimate 
and  is  the  reference  displacement  utilized  in  this  model.   Al- 
though displacements  from  plate  tectonic  reconstruction  do  not 
match  displacements  derived  from  geologic  evidence,  the  accelera- 
tion of  motion  between  two  plates,  as  derived  from  plate  tec- 
tonic reconstruction,  is  not  disputed  by  geologic  evidence 
(Atwater,  19  73) .   This  acceleration  of  motion  is  incorporated 
into  the  model  by  reducing  velocities  from  plate  tectonic 
reconstruction  such  that  the  total  resultant  offset  equals  260 
km.   This  is  accomplished  by  multiplying  the  velocities  by 
a  scaling  factor,  s  =  260  km/610  km  =  .426.   Resultant  scaled 
velocities  as  well  as  original  velocities  derived  from  plate 
tectonic  reconstruction  (Atwater,  1973)  are  listed  in  Table  II. 

TABLE  II 


Time  Period 

(Million  years 
before  present) 

21  —  10 

10—4.5 

4.5  — 


Relative  Motion 

Pacific/N.  Ameri- 
can Plates 

1 . 3  cm/yr 

4 . 0  cm/yr 

5 . 5  cm/yr 


Relative  Motion 

San  Andreas 
Fault 

0 . 6  cm/yr 

1 . 7  cm/yr 

2 . 3  cm/yr 


23 


The  height  and  velocity  fields  are  substituted  into  the 
Continuity  Equation  (Equation  (5))  using  finite  differencing 
schemes.   In  discussing  differencing  schemes,  the  following 
coordinate  system  and  symbology  will  be  used: 


H(i,j,t) 


reference  point,  height  at  a  location  on 
a  horizontal  plane  identified  by  coor- 
dinates i  (east)  and  j  (north)  at  time  t 


u  =   velocity  component  in  the  i  (east) 
direction 

v  =   velocity  component  in  the  j  (north) 
direction 

At   =   interval  of  time  (200,000  years  in  this 
model) 

Ax   =   interval  of  space  on  the  i  axis .   For 
example,  the  distance  between  H 


and  H  ,  .  , ,  .  ,  » 
(1+1,3  ft) 


(i,j,t) 


Ay  =   interval  of  space  on  the  j  axis.   The 

distance  between  H,.    ..  and  H,.   ,n  .» 

U,D,t)       (i,j+l,t) 


The  primary  centered  differencing  scheme  used  in  this 
model  expresses  Equation  (5)  in  the  following  way: 


H(i, j,t+l)  -  H(i, j ,t-l) 

2At 


•u(i, j,t)  [H(i+l,j,t)-H(i-l,j,t)  ] 

2Ax 

v(i,j,t) [H(i,j+l,t)-H(i,j-l,t) ] 

2Ay 


H(i,j,t) [u(i+l, j ,t)-u(i-l,j ,t) ] 

2Ax 


H(i,j,t) [v(i, j+l,t)-v(i,j-l,t) ] 

2Ay 


(6) 


24 


This  scheme  is  centered  in  space  and  time.   It  can  not  be 
used  initially  since  it  requires  height  fields  at  two  differ- 
ent times  (t  and  t-1)  in  order  to  predict  the  height  at  t+1. 
In  addition,  it  can't  be  used  on  the  grid  boundaries  since 
it  would  require  the  input  of  values  beyond  the  range  of  the 
data  field.   However,  it  offers  the  advantage  of  centered 
differencing  and  favorable  numerical  stability. 

Forward  differencing  must  be  used  to  predict  the  height 
fields  on  the  first  iteration  for  subsequent  input  into  the 
primary  centered  scheme.   Using  forward  time  and  centered 
space  differencing, 


H(i, j,t+l)-H(i,j,t; 

At 


u(i,j,t)  [H(i+1, j,t)-H(i-l,j,t) ] 

2Ax 


v(i,j,t)  [H(i,j  +  l,t)-H(i, j-l,t)  ] 

2Ay 


H(i,j,t)  [u(i+l, j,t)-u(i-l,j,t)  ] 
2Ax 


H(i,j,t) [v(i, j+l,t)-v(i, j-l,t) 3 
2Ay 

(7) 

As  with  all  numerical  methods,  numerical  stability  is  an 
important  consideration  and  limits  the  size  of  the  time  step 
(At)  to  be  utilized.   The  Courant-Friedrichs-Levy  (CFL) 
condition  (Courant  et_  al. ,  1928)  for  computational  stability 
(Equation  (8))  applies  for  this  model. 


V  At 
Ax 


<   1 


(8) 


25 


It  controls  the  size  of  the  time  step  (At)  and  grid 
spacing  (Ax, Ay)  such  that  motion  does  not  cover  more  than  one 
grid  space  between  computations.   With  this  model,  At  must  be 
less  than  or  equal  to  500,000  years.   The  time  step  used  is 
200,000  years. 

Boundary  conditions  are  illustrated  in  Figure  4.   As  pre- 
viously discussed,  centered  space  differencing  can  not  be 
used  on  the  perimeters  of  the  grid.   Two  different  types  of 
boundary  conditions  are  used  in  this  model.   Boundaries  in  the 
direction  of  motion  of  the  moving  block  (the  eastern  and  southern 
boundaries)  must  be  permeable.   For  this  reason,  the  Upstream 
Differencing  scheme  (Haltiner  and  Williams ,  # 1980 ,  p.  130)  is 
used  on  these  boundaries.   This  scheme  produces  a  permeable 
boundary  where  it  intersects  the  moving  block  and  establishes 
a  rigid  boundary  condition  for  the  stationary  block: 


H(i, j,t+l)-H(i, j,t)        u(i-l,j,t) [H(i, j , t) -H ( i-1 , j , t) ] 

At  Ax 


H(i-l,j,t) [u(i, j,t)-u(i-l, j,t) ] 

Ax 


(8) 


Fixed  boundary  conditions  are  imposed  on  the  northern 
and  western  boundaries.   Maintaining  the  points  on  these 
boundaries  at  their  initial  heights  introduces  errors  where 
these  points  lie  on  the  moving  portion  of  the  grid.   As 
topography  on  these  boundaries  moves  toward  the  interior 
of  the  grid,  a  false  field  is  created  in  their  previous 


26 


positions.   Resultant  erroneous  values  are  eliminated  from 
output  by  moving  the  northern  and  western  boundaries  inward 
(for  display  only)  such  that  the  northwest  corner  of  the  grid 
maintains  its  position  relative  to  the  moving  block.   This 
is  illustrated  in  Figure  9. 

The  model  produces  output  at  3  million  year  intervals. 
Output  is  displayed  in  a  three  dimensional  form  as  well  as  a 
contoured  plan  view  at  each  interval  (Figures  10-25) .   The 
three  dimensional  computer  graphics  simulate  viewing  the  ter- 
rain from  a  vantage  point  at  high  elevation  over  the  Pacific 
Ocean  looking  northeast.   Submarine  bathymetry  is  included  and 
all  vertical  heights  are  exaggerated  by  a  factor  of  15. 


27 


.  R  (tx) 


The  northern  and  western 
boundaries  move  inward 
such  that  the  northwest 
corner  of  the  grid  main- 
tains its  position  rel- 
ative to  a  point  (r)  on 
the  moving  block. 


Figure    9.      Movement   of    boundaries    for   display 


28 


3AKERSFIELD 
MONTEREY 


Los  Angeles 


Figure    10.      Topography    21   million   years   before   present 


29 


Figure  11. 


Twenty-one  million  years  before  present.  On 
all  contour  plots;  contour  interval  =  500  m, 
figures  in  hundreds  of  meters,  bathymetry  in 
dashed  lines,  inferred  drainage  is  heavy 
dashed  line,  M,  3,  and  L  represent  Monterey, 
Bakersfield  and  Los  Angeles  respectively 


30 


Bakersfield 

.WTEREY 


Los  Angeles 


Figure  12.   Topography  18  million  years  before  present 


31 


\  b\  \W\  I  I  II  I  I  I  I  I  I 


i  '  i  \jyyi  i  i  \  \  ,\i  i  ivm  \a  \  \  in 


Mil  jjjj    I  -f  j    I    EJ     I    I    >    I  'I    I    \    I.1--I    :    I    !    /IM    j  X.\  -'l-T'f    M    ^  i  >K    !  ■' .   "■  J  ':  'T    n  -!/'l    l :    !    i/fl  1  i7 


fy  736'.  6A 


Figure  13.   Eighteen  million  years  before  present 
contour  interval  =  500  m,  figures  in 
hundreds  of  meters 


32 


Bakersfield  Los  Angeles 

Ignterey 


Figure   14.      Topography    15   million   years   before   present 


33 


Figure  15.   Fifteen  million  years  before  present, 
contour  interval  =  500  m,  figures  in 
hundreds  of  meters 


34 


Bakersfield 


Los  Angeles 


WEREY 


igure    16.      Topography    12    million   years    before   present 


Fig 


35 


_• 


-•£ 


Figure  17.   Twelve  million  years  before  present,  contour 
interval  =  500  m,  figures  in  hundreds  of 
meters 


36 


Bakersfield 


Los  Angeles 


i,yl0NTEREY 


iqure  18.   Topography  9  million  years  before  present 


Figure 


37 


Figure  19.   Nine  million  years  before  present,  contour 
interval  =  500  m,  figures  in  hundreds  of 
meters 


38 


Monterey 


Bakersfield        Los  Angeles 


Figure    20.      Topography    6    million   years    before    present 


39 


"     -39.0}  "-  ;Y"  \ 
'  V-53.2/ 


1  i  i  !  i-V'i/i  ';';i;!  i  1-1  r^v-i-.--!-.':i  ?  i  i  i.i  \^i?!-'<2v\-.\.\n^j  ■  i  i/i  i 


Figure  21.   Six  million  years  before  present,  contour 
interval  =  50  0  m,  figures  in  hundreds 
of  meters 


40 


Bakersfield 


Los  Angeles 


Figure  22.   Topography  3  million  years  before  present 


41 


-55.9.. 


I  '  1  l-l-M-J-'-;   IMMt   l-r-l  Ml:"  i-r->-!T  I  N  i'l  M  >  I I  I  1  .r  1  M-1 


Figure  23.   Three  million  years  before  present,  contour 
interval  =  500  m,  figures  in  hundreds  of 
meters 


42 


Bakersfield 
^lonterey  i       los  angeles 


Figure 


24.   Present  day  topography 


43 


Figure  25.   Present  day,  contour  interval  =  500  m, 
figures  in  hundreds  of  meters 


44 


III.   RESULTS 

In  viewing  the  figures  depicting  model  reconstructions 
of  paleotopography,  the  design  of  the  model  must  be  kept  in 
mind.   Coarse  resolution,  as  well  as  the  simplifying  assump- 
tions of  the  model  limit  the  scope  of  consideration  to  large 
scale  effects. 

Figures  10-25  are  model  outputs  generated  at  three 
million  year  intervals.   At  each  interval  there  is  a  three- 
dimensional  topographic  display  and  a  contour  map,  both 
constructed  from  model  results  for  that  particular  time. 
In  all  three-dimensional  plots,  the  coastline  (based  on 
present  sea  level)  is  represented  by  a  heavy  solid  line. 
The  points  corresponding  to  the  cities  of  Monterey,  Bakers- 
field,  and  Los  Angeles  have  been  annotated  for  reference. 

All  contour  maps  are  oriented  with  north  at  the  top. 
Bathymetry  appears  as  dashed  contours  while  all  contours  >0 
appear  as  solid  lines.   The  San  Andreas  Fault  is  represented 
as  a  heavy  solid  line.   Inferred  drainage  patterns  are 
indicated  by  a  heavy  dashed  line.   The  points  corresponding 
to  the  cities  of  Monterey,  Bakersfield,  and  Los  Angeles  are 
labelled  M,  B,  and  L  respectively. 

Although  the  model  runs  backward  in  time,  this  discus- 
sion will  start  with  model  output  at  21  million  years  before 
present  and  proceed  foward  in  time  for  simplicity.   As 


45 


output  for  each  time  interval  is  discussed,  reference  will 
be  made  to  both  figures  (3-D  and  contour)  representing 
output  for  that  interval . 

As  expected,  topography  at  21  million  years  before 
present  (Figures  10  and  11)  differs  greatly  from  present- 
day  topography.   Monterey  Bay  lies  far  to  the  south-east 
of  its  present  position,  approximately  100  km  west  of 
Bakersfield.   Bakersfield,  and  points  to  the  east  of  the 
San  Andreas  Fault,  appear  much  as  they  are  today.   The  Great 
Valley  of  California  extends  northwest  of  Bakersfield  and  is 
bounded  on  the  east  by  the  Sierra  Nevada  Mountains.   The 
Mojave  Desert  lies  to  the  south  of  the  Sierra  Nevadas. 
Along  the  fault  itself,  topography  is  depressed,  particularly 
in  the  area  to  the  southwest  of  the  Mojave  Desert.   Areas  to 
the  west  of  the  fault  appear  radically  different  than  they 
do  today.   All  topographic  features  which  correlate  to  today's 
topography  appear  far  to  the  southeast  of  their  present  posi- 
tions.  Although  the  general  shape  of  the  coastline  and  the 
mountain  ranges  are  recognizable,  they  appear  different  than 
they  do  today.   Monterey  and  San  Francisco  Bays  are  different 
in  shape  and  location  but  are  easily  recognizable.   The  Coast 
Ranges  to  the  north  appear  at  lower  elevations  than  they  do 
today  but  are  not  greatly  different  in  the  area  to  the  south 
of  Monterey.   The  Transverse  Ranges  are  somewhat  lower  and 
they  are  located  to  the  southeast  of  their  present  positions 
as  are  the  Peninsular  Ranges.   The  position  of  the  Peninsular 


4  6 


Ranges  correlates  geographically  with  the  present-day 
position  of  the  Gulf  of  California. 

Despite  the  fact  that  this  reconstruction  is  the  product 
of  a  relatively  simple  geological  model  which  does  not  take 
into  account  the  effects  of  erosion,  deposition,  or  displace- 
ments along  other  faults,  the  large  scale  features  which 
appear  in  these  figures  are  supported  by  geologic  evidence. 
The  Sierra  Nevada  Mountains  (Curtis  et  al. ,  1958)  and  the 
Colorado  Plateau  (Eardley,  1962)  are  features  which  came 
into  existence  long  before  Miocene  time.   Also,  the  Gulf  of 
California  did  not  exist  at  this  time  (Larson  et  al . ,  1968; 
Larson,  1971;  Van  Andel  and  Shor,  1964).   The  depressed 
areas  along  the  fault  southwest  of  the  Mojave  Desert  corre- 
late geographically  with  the  Salinas,  Caliente,  San  Joacquin, 
Ridge,  and  Soledad  basins.   The  geologic  history  of  these 
basins  (Norris  and  Webb,  1976;  Blake  et  al . ,  1978)  also 
shows  good  chronological  correlation  with  the  model 
reconstruction. 

It  is  apparent  from  Figures  10  and  11  that  drainage 
patterns  were  much  different  in  early  Miocene  time.   Drainage 
from  the  Colorado  Plateau  (Colorado  River)  could  not  flow 
southward  into  the  Gulf  of  California  as  it  does  today. 
Rather  this  drainage  flowed  westward  and  entered  the  ocean 
somewhere  to  the  north  of  the  Transverse  Ranges.   Exactly 
where  the  terminus  of  this  drainage  system  was  located  can 


47 


not  be  determined  from  model  results  alone.   However,  evidence 
previously  presented  indicates  that  Monterey  Bay  was  the 
terminus  of  a  major  land  drainage  system  at  this  time  (Greene, 
1977).   The  inferred  drainage  is  illustrated  in  Figure  11. 
How  long  this  drainage  pattern  had  been  in  existence  prior 
to  early  Miocene  time  is  a  question  beyond  the  scope  of  this 
study.   However,  insights  into  changes  which  have  occurred 
since  early  Miocene  may  be  obtained  by  examining  model  output 
at  intervals  over  the  last  21  million  years. 

As  expected  from  the  relatively  low  velocity  of  motion 
along  the  fault  from  21  million  years  before  present  to  10 
million  years  before  present  (Table  II),  there  is  little 
change  in  topography  over  this  period  (Figures  10-17) .   It 
appears  that  the  drainage  pattern  previously  established 
would  have  been  preserved  over  this  interval.   Although  there 
is  evidence  to  indicate  that  Monterey  Submarine  Canyon  was 
filled  and  re-excavated  during  this  time  (Greene,  1977),  this 
could  have  been  the  result  of  sea  level  fluctuations  and  does 
not  necessarily  imply  large  scale  changes  in  land  drainage 
patterns . 

From  10-4.5  million  years  before  present,  motion  along 
the  fault  increased  in  speed  and  became  slightly  less  com- 
pressional  in  azimuth  (Tables  I  and  II,  Figure  6).   Topography 
at  9  million  years  before  present  (Figures  18  and  19)  shows 
that  compression  along  the  fault  in  the  area  southwest  of  the 


48 


Mojave  Desert  is  closing  the  depressions  in  that  area.   At 
the  same  time,  the  Peninsular  Ranges  have  been  moving  north- 
westward, leaving  a  depressed  area  in  the  southeastern  corner 
of  the  grid.   At  this  point  it  is  not  possible  to  determine 
drainage  patterns,  as  illustrated  in  Figure  19.   At  6  million 
years  before  present  (Figures  20  and  21) ,  it  is  clear  that 
compressional  motion  along  the  fault  has  uplifted  the  area 
to  the  southwest  of  the  Mojave  Desert  to  such  an  extent  that 
this  area  no  longer  serves  as  a  conduit  for  drainage.   Simul- 
taneously, the  depressed  area  in  the  southeast  corner  has 
expanded  due  to  continued  movement  of  the  Peninsular  Ranges 
out  of  this  area.   It  is  not  possible  to  determine  that 
drainage  actually  flowed  southward  at  this  point  since 
topography  beyond  the  southeastern  corner  of  the  grid  is  not 
presented.   However,  geologic  evidence  (Larson  et  al. ,  1968; 
Larson,  1971)  indicates  that  the  Gulf  of  California  developed 
at  about  this  time.   For  this  reason,  it  is  assumed  that 
drainage  from  the  Colorado  Plateau  flowed  southward  much  as 
it  does  today. 

Velocity  of  relative  motion  is  slightly  higher  over  the 
last  4.5  million  years  to  the  present  (Table  II)  and  there 
is  a  slight  change  in  the  azimuth  of  direction  (Table  I  and 
Figure  5) .   However,  the  trends  concerning  drainage  continue 
during  this  interval  as  depicted  in  Figures  22-25.   North- 
westward displacement  of  points  to  the  west  of  the  San 


49 


Andreas  Fault,  compression  in  the  area  of  the  Transverse 
Ranges,  and  expansion  of  the  Gulf  of  California  continue  to 
the  present  and  are  continuing  today. 


50 


IV.   CONCLUSIONS 

In  arriving  at  conclusions  based  on  the  results  of  a 
numerical  model,  care  must  be  taken  to  consider  the  inherent 
weaknesses  of  the  model  and  to  examine  available  evidence 
from  other  sources  for  verification.   In  presenting  model 
results,  only  large  scale  features  and  general  trends  were 
discussed.   It  is  clear,  from  the  description  of  the  model, 
that  these  are  the  limits  of  its  credibility.   However, 
within  these  limits,  model  results  correlate  well  with 
available  evidence  and  indicate  that  the  Colorado  River  was 
the  erosional  force  involved  in  the  excavation  of  Monterey 
Canyon. 


51 


LITERATURE  CITED 


Atwater,  T.  and  Molnar,  P.,  1973,  "Relative  Motion  of  the 
Pacific  and  North  American  Plates  Deduced  from  Sea- 
Floor  Spreading  in  the  Atlantic,  Indian,  and  South 
Pacific  Oceans,"  Proceedings  of  the  Conference  on 
Tectonic  Problems  of  the  San  Andreas  Fault  System, 
Stanford  University  Publications,  Geological  Sciences, 
Volume  XIII. 

Blake,  M.  C.  Jr.,  Campbell,  R.  H. ,  Dibblee,  T.  W.  Jr., 

Howell,  D.  G. ,  Nilsen,  T.  H. ,  Normark,  W.  R. ,  Vedder , 
J.  C. ,  Silver,  E.  A.,  1978,  "Neogene  Basin  Formation  in 
Relation  to  Plate  Tectonic  Evolution  of  San  Andreas 
Fault  System,  California,"  The  American  Association  of 
Petroleum  Geologists  Bulletin,  V.  62,  No.  3,  pp.  344-372, 
March. 

Clark,  J.  C.  and  Rietman,  J.  D.,  1973,  United  States  Depart- 
ment of  the  Interior  Geological  Survey  Prof.  Paper  783, 
Qligocene  Stratigraphy,  Tectonics,  and  Paleogeography 
Southwest  of  the  San  Andreas  Fault,  Santa  Cruz  Mountains 
and  Gabilan  Range,  California  Coast  Ranges. 

Courant,  R. ,  K.  0.  Friedrichs,  and  H.  Lewy,  1928,  "Uber  die 
partiellen  dif f erenzengleichungen  der  mathematischen 
physik,"  Math.  Annalen,  100,  32-74. 

Crowell,  J.  C,  1962,  Displacement  Along  the  San  Andreas 
Fault,  California,  The  Geological  Society  of  America. 

Curtis,  G.  H. ,  Evernden,  J.  F.,  and  Lipson,  J.,  1958,  "Age 
Determination  of  Some  Granitic  Rocks  in  California  by 
the  Potassium-argon  Method,"  Dept.  Nat.  Resources  Div. 
Mines  Special  Report.  54. 

Eardley,  A.  J.,  1962,  Structural  Geology  of  North  America, 
pp.  295-301,  Harper  and  Row. 

Greene,  H.  G. ,  1977,  United  States  Department  of  the  Interior 
Geological  Survey  Open-File  Report  77-718,  Geology  of  the 
Monterey  Bay  Region. 

Haltiner,  G.  J.,  and  Williams,  R.  T. ,  19  80,  Numerical  Predic- 
tion and  Dynamic  Meteorology,  pp.  130-132,  John  Wiley  and 
Sons,  Inc. 


52 


Larson,  R.  L. ,  1971,  "Near  Bottom  Geologic  Studies  of  the 
East  Pacific  Rise  Crest,"  Geol.  Soc.  Amer .  Bull., 
V.  32,  pp.  823-842. 

Larson,  R.  L. ,  Menard,  H.  W. ,  and  Smith,  S.  M. ,  196  8, 

"Gulf  of  California:   A  Result  of  Ocean  Floor  Spreading 
and  Transform  Faulting,"  Science,  V.  161,  pp.  781-734. 

Martin,  B.  D.  and  Emery,  K.  0.,  1967,  "Geology  of  Monterey 

Canyon,  California,"  The  American  Association  of  Petroleum 

Geologists  Bulletin,  V.  51,  No.  11,  pp.  2281-2304, 
November. 

Menard,  H.  W. ,  1960,  "Possible  Pre-Pleistocene  Deep-Sea  Fans 
off  Central  California,"  Geological  Society  of  America 
Bulletin,  V.  71,  pp.  1271-1278. 

Norris,  R.  M.  and  Webb,  R.  W. ,  1976,  Geology  of  California, 
pp.  123-134,  John  Wiley  and  Sons,  Inc. 

Silver,  E.  A.,  McCulloch,  D.  S.,  and  Curray,  J.  R. ,  "Marine 
Geology  and  Tectonic  History  of  the  Central  California 
Continental  Margin."   Unpublished. 

Starke,  G.  W.  and  Howard,  A.  D.,  1968,  "Polygenetic  Origin 
of  Monterey  Submarine  Canyon,"  Geological  Society  of 
America  Bulletin,  V.  79,  No.  7,  pp.  813-826. 

van  Andel,  Tj .  H.,  and  Shor,  G.  G. ,  eds . ,  1964,  Marine 

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53 


LIST  OF  REFERENCES 


Bonnin,  J.,  Francheteau,  J.,  and  Le  Pichon,  X.,  Plate 

Tectonics ,  Elsevier  Scientific  Publishing  Company,  1973. 

California  Division  of  Mines  and  Geology  Special  Report  118, 
San  Andreas  Fault  in  Southern  California,  edited  by 
J.  C.  Crowell,  1975. 

Dickinson,  W.  R.  and  Grantz,  A.,  eds . ,  Proceedings  of  Con- 
ference on  Geologic  Problems  of  San  Andreas  Fault  System, 
Stanford  University,  1968. 

Eardley,  A.  J. ,  Structural  Geology  of  North  America,  Harper 
and  Row,  1962. 

Kovach,  R.  L.  and  Nur,  A.,  eds.,  Proceedings  of  Conference 
on  Tectonic  Problems  of  San  Andreas  Fault  System, 
Stanford  University,  1973. 

Norris,  R.  M.  and  Webb,  R.  W. ,  Geology  of  California,  John 
Wiley  and  Sons,  Inc.,  1976. 

Shepard,  F.  P.,  Submarine  Topography  off  the  California 
Coast,  Geological  Society  of  America,  1941. 

Shepard,  F.  P.,  Submarine  Geology,  Harper  and  Row,  1973. 

Whitaker,  J.  H.  McD.,  ed. ,  Submarine  Canyons  and  Deep-Sea 
Fans,  Dowden,  Hutchinson  and  Ross,  Inc.,  1976. 


54 


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57 


c.l 


Thesis 

A37955  Allen 

_  i         The  impact  of 

tectonic  activity  in   -  in 
the  development  of     f 
Monterey  Submarine     e 
Canyon. 


Thesis 

A37955 

Allen 

c.l 

The  impact  of 

tectonic  activity  in 

the  development  of 

Monterey  Submarine 

Canyon.