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ESTIMATION  OF  THE  ORIGINAL  SHEAR  STRENGTH 
OF  DEEP  SEA  SEDIMENTS  FROM  ENGINEERING 
INDEX  PROPERTIES 


by 
Robert  Wyman  Hoag  II 


!  United   States 

Naval  Postgraduate  School 


THESIS 


ESTIMATION  OF  THE  ORIGINAL  SHEAR  STRENGTH 

OF  DEEP  SEA  SEDIMENTS  FROM  ENGINEERING 

INDEX  PROPERTIES 

by 

Robert  Wyman  Hoag   II 


September   1970 


Tkl&  document  ha&  been  appiovcd  Ion.  public  kz.- 
IzcL&e.  and  6alt;  i£i>  dJUviibuXJuon  ti>  imturuXe.d. 


TJ.35603 


1l postgraduate  school 

TEEEY,  CALIF.  93940 


Estimation  of  the  Original  Shear  Strength  of  Deep  Sea  Sediments 

from  Engineering  Index  Properties 

by 

Robert  Wyman^Hoag  II 
Lieutenant  Commander,  United  States  Navy 
B.  S.,  United  States  Naval  Academy,  1961 


Submitted  in  partial  fulfillment  of  the 
requirements  for  the  degree  of 


MASTER  OF  SCIENCE  IN  OCEANOGRAPHY 

from  the 

NAVAL  POSTGRADUATE  SCHOOL 
September  1970 


vi^uu^ 


tfsrtt 

e./ 


ABSTRACT 


Multiple  linear  regression  techniques  were  employed  in  a  statistical 
analysis  of  data  from  114  deep  sea  cores  in  order  to  derive  an  equation 
for  predicting  shear  strength  from  sediment  engineering  index  properties. 
Water  content,  depth  of  burial,  liquid  limit,  and  plastic  limit  proved  to 
be  the  only  factors  significantly  influencing  the  strength  in  these  cores. 
The  multiple  and  individual  correlation  coefficients  between  these  four 
parameters  and  the  logarithm  of  shear  strength  proved  to  be  higher  than 
the  coefficients  computed  in  a  linear  strength  relation.  Additionally, 
other  regression  analysis  were  conducted  to  determine  a  water  content  pre- 
diction equation  and  to  investigate  correlations  among  other  sediment 
properties.  Water  content  is  shown  to  be  highly  correlated  with  liquid 
limit.  Ancillary  to  the  above  analysis,  tests  were  conducted  to  determine 
the  degree  of  reproducibility  of  original  liquid  limit  values  from  dried 
sediment  material. 


I .     INTRODUCTION 


TABLE  OF  CONTENTS 

9 


A.  OBJECTIVE - 9 

B.  DISCUSSION ""   9 

q 

1.  General  -------------- 

2.  Parameters  ----------------- 

a.  Depth  in  the  Core 12 

b.  Median  Grain  Size 13 

c.  Water  Content  --  -----  --  13 

d.  Liquid  Limit "  " 14 

e.  Plastic  Limit - 16 

f.  Plasticity  Index 16 

g.  Liquidity  Index 17 

3.  Other  Investigations 18 

II.    REPRODUCIBILITY  OF  PARAMETERS -  -  -    20 

A.  DISCUSSION * "   20 

B.  LIQUID  LIMIT 20 

1.  Background  --------------  *w 

2.  Test  Procedures  -------------  *■* 

3.  Test  Results  ----------------  22 

C.  OTHER  PARAMETERS 25 

1.  Depth  in  the  Core 25 

2.  Water  Content  -------  -  -     -26 

3.  Median  Grain  Size 26 

4.  Plastic  Limit 26 


III.    DATA 27 

A.  INITIAL  REQUIREMENTS  AND  LIMITATIONS 27 

B.  GENERAL 28 

IV.          STATISTICAL  ANALYSIS   43 

A.  METHOD - 43 

1.  Regression  Analysis  ------------  43 

2.  Confidence  Limits  -  -  ---------  43 

B.  STATISTICAL  RESULTS  44 

1.  Shear  Strength  and  Water  Content  Equations  -  44 

2.  Other  Correlations  -------------  52 

a.  Liquidity  Index  -  Logarithm  Sensitivity  52 

b.  Liquid  Limit  -  Water  Content  -----  54 
V.    CCNCLUSIONS  AND  RECOMMENDATIONS 58 

A.  CONCLUSIONS 58 

B.  RECOMMENDATIONS 58 

APPENDIX  A     DATA  ANALYZED 60 

BIBLIOGRAPHY  -  - 98 

INITIAL  DISTRIBUTION  LIST - 102 

FORM  DD  1473 103 


LIST  OF  TABLES 

I 
Table 

I.  Liquid  Limit  Test  Results  ---------------23 

II.  Positions  of  Naval  Civil  Engineering  Laboratory  Cores  -  30 

III.  Positions  of  Cores  from  a  Technical  Report  ------  -32 

IV.  Positions  of  National  Oceanographic  Data  Center  Cores  -  33 

V.  General  Sediment  Parameter  Statistical  Information  -  -  39 

VI.  Shear  Strength  Correlation  Coefficients  --------45 

VII.  Correlation  Coefficients  for  Depth  in  the  Core  -  -  -  -  46 

VIII.     Water  Content  and  Liquid  Limit  Correlation 

Coefficients  with  Other  Parameters  ----------  57 


(o 


LIST  OF  ILLUSTRATIONS 


Figure 


1.  Shear  Strength  versus  Depth  for  Various 

Depositional  Areas  -----------  ------~   12 

2.  Liquid  Limit  Device ---     15 

3.  Consistency  Limits  ------------------   16 

4.  Plasticity  Chart  for  Sediment  Samples  Used  in  the 

Liquid  Limit  Tests  ---------------     -  "24 

5.  Atlantic  Ocean  Core  Locations  -------------34 

6.  Gulf  of  Mexico  Core  Locations  ---  ---         -35 


7.     Pacific  Ocean  Core  Locations 


10.     Shear  Strength  Histogram 


36 


8.  East  Pacific  Core  Locations  -- '      '  37 

9.  Kamchatka  Peninsula  Core  Locations -   -38 


40 


11.  Water  Content  Histogram  --------------40 

12.  Liquid  Limit  Histogram  --------     ------  41 

13.  Plastic  Limit  Histogram  -----------         "41 

14.  Median  Grain  Size  Histogram "42 

15.  Sensitivity  Histogram 42 

16.  True  versus  Computed  Shear  Strength  -----     -47 

17.  True  and  Computed  Shear  Strengths  versus  Depth  in 

the  Core  ------------------""""" 

18.  True  versus  Computed  Water  Content  ----------- 


19.     Liquidity  Index  versus  Sensitivity  Relationship 


53 


20 


Water  Content  versus  Liquid  Limit  Relationship  -  -  -    5 


ACKNOWLEDGEMENTS 

Appreciation  is  expressed  for  the  suggestions  of  Professor  R.  J. 
Smith  under  whose  direction  this  investigation  was  conducted.   Miss 
Georgia  Lyke  of  the  Naval  Postgraduate  School  Library  provided  able 
assistance  in  locating  reference  materials,  and  Mr.  G.  P.  Learmonth  of 
the  W.  R.  Church  Computer  Facility  advised  concerning  computer  techniques 
on  numerous  occasions.   Personnel  of  the  Site  Development  and  Foundation 
Engineering  Divisions  of  the  Naval  Civil  Engineering  Laboratory,  and 
particularly  Mr.  M.  C.  Hironaka  and  Mr.  D.  G.  Anderson  provided  useful 
data  and  helpful  comments.   The  Naval  Facilities  Engineering  Command 
interest  in,  and  support  of  the  marine  sediments  research  at  the  Naval 
Postgraduate  School  deserves  special  recognition. 


8 


I.   INTRODUCTION 

A.  OBJECTIVE 

The  primary  objectives  of  this  investigation  were  twofold.   First,  to 
develop  an  equation  for  the  prediction  of  the  original  shear  strength  of 
deep  sea  sediments  from  water  depths  greater  than  6000  feet  utilizing  their 
engineering  index  properties  as  determined  from  partially  dry  sediment  cores. 
From  such  an  equation  it  is  possible  to  make  an  estimate  of  the  approximate 
load-bearing  capability  of  the  sediment  in  a  particular  oceanic  area  without 
conducting  a  sampling  and  testing  program  (Hironaka  and  Smith,  1969).   The 
second  objective  was  to  examine  the  several  possible  methods  of  evaluating 
the  liquid  limit  of  marine  sediments  to  determine  the  reproducibility  of 
the  original  value. 

B.  DISCUSSION 
1.   General 

For  many  years  various  institutions  and  agencies  have  been  collecting 
deep  sea  sediment  samples  for  a  variety  of  scientific  investigations.   Very 
few  of  these  cores,  however,  have  been  analyzed  from  an  engineering  stand- 
point to  determine  their  mass  physical  properties.   Though  such  samples  have 
proven  useful  for  their  intended  purpose,  a  considerable  amount  of  engineering 
type  data  has  essentially  been  lost.   Many  of  these  cores  have  been  stored 
for  subsequent  examination  and  are  available  for  the  determination  of  those 
index  properties  which  are  presumably  not  affected  by  the  material  being  in 
a  dry  or  remolded  condition.   It  has  therefore  been  hoped  that  various  re- 
lations could  be  developed  between  the  reproducible  index  properties  and  the 
original  engineering  properties  of  the  sediment. 


Index  properties  are  generally  defined  as  those  parameters  which 
classify  the  sediments  qualitatively  into  groups  having  similar  soil  engine- 
ering properties.   Engineering  properties,  on  the  other  hand,  can  only  be 
determined  on  undisturbed  samples,  and  define  specific  characteristics  of 
the  soil  which  are  directly  related  to  its  bearing  capacity. 

Shear  strength  is  currently  the  most  important  engineering  property  of 
marine  sediments  from  the  standpoint  of  foundation  design  and  bearing  capacity 
calculations.   Tschebotariof f  (1951)  derives  the  following  equation  for  com- 
puting bearing  capacity  from  shear  strength: 

BC  -  5.52c  (1  +  0.38h/b  +  0.44b/L)  (1) 

BC  =  Bearing  capacity  (load  per  unit  area) 

c  ■  Cohesion  per  unit  area 

h  =  Depth  of  burial  of  foundation 

b  ■  Width  of  foundation 

L  =  Length  of  foundation 

For  saturated  cohesive  soils  such  as  marine  sediments,  it  is  generally 
assumed  that  the  angle  of  internal  friction  is  zero,  therefore  shear  strength 
equals  cohesion  (Richards ,1961) .   The  above  equation  has  been  used  in  at 
least  one  deep-sea  foundation  study   (Hironaka  and  Smith,  1969). 

At  present  the  easiest  and  most  practical  method  of  measuring  shear 
strength  is  by  use  of  the  vane  shear  device.   This  is  a  standard  piece  of 
soil  mechanics  laboratory  equipment,  and  modifications  for  its  use  at  sea 
have  been  developed  at  the  Naval  Postgraduate  School  (Heck,  1970).   In 
working  with  dried  sediment  samples,  however,  it  is  impossible  to  directly 
measure  the  original  shear  strength  of  the  material  as  it  existed  in  its 
naturally  saturated  state.   It  is  therefore  necessary  to  establish  some 

10 


type  of  relationship,  perhaps  statistical,  between  shear  strength  and  certain 
reproducible  sediment  properties.   Such  a  value  could  then  be  used  at  least 
as  a  preliminary  estimate  of  shear  strength  for  use  in  equation  (1). 

Application  of  an  equation  relating  shear  strength  with  index  properties 
would  be  particularly  valuable  in  the  computation  of  sediment  bearing  capa- 
city for  several  types  of  situations,  provided  a  stored  core  is  available 
from  the  general  area  of  interest. 

An  example  is,  loss  of  an  object  (such  as  a  submersible)  in  mid-ocean 
under  conditions  where  it  is  immediately  necessary  for  search  purposes  to 
know  the  bearing  capacity  of  the  sediment.  Application  of  a  shear  strength 
prediction  equation,  along  with  data  obtained  from  an  available  desiccated 
core  could  provide  a  rough  estimate  in  a  matter  of  hours,  whereas  it  might 
be  several  weeks  before  a  research  vessel  could  arrive  on  the  scene  to  core 
and  then  test  the  sediment. 

A  considerable  amount  of  money  could  also  be  saved  by  alleviating  the 
necessity  for  a  detailed  coring  and  foundation  study  program  in  the  emplace- 
ment of  some  unmanned  experiments  on  the  deep  sea  floor. 

The  one  basic  assumption  made  before  the  onset  of  this  investigation 
was  that  all  index  properties  are  reproducible,  even  after  the  sediment  has 
once  been  dried.   Considerable  doubt  does  exist,  however,  regarding  this  as- 
sumption.  In  conjunction  with  the  statistical  analyses,  experiments  were 
conducted  to  determine  the  degree  to  which  one  of  these  index  properties 
was  reproducible. 

2.    Parameters 

Prior  to  commencing  a  statistical  study  of  the  available  existing 
data,  a  survey  of  the  technical  literature  was  made  to  determine  which  of 


11 


the  sediment  properties  have  been  found  by  other  researchers  to  influence 
shear  strength.   In  order  to  check  for  possible  correlations  and  interrela- 
tionships among  the  various  parameters,  several  index  properties  not  identi- 
fied in  this  survey  were  also  included  in  the  overall  analysis.   The  properties 
investigated  are  described  below, 
a.   Depth  in  the  Core 

Some  investigations  have  indicated  a  general  correlation  be- 
tween shear  strength  and  depth  below  the  sea  floor-water  interface  for 
normally  consolidated  sediments  (Arrhenius,  1952;  Richards,  1961;  Bjerrum, 
1954) .   Figure  1  from  Moore  (1961)  shows  the  strength  versus  depth  relation- 
ships for  sediments  from  various  depositional  environments.   The  overall 
trend,  though  variable  due  to  non-homogeneity  of  the  sediment  column,  re- 
sults from  increasing  overburden  pressure  as  sedimentation  continues. 
McClelland  (1956)  presents  an  excellent  basic  discussion  of  this  general 
subject. 


1.  N.  Pacific  (MOORE,  1961) 

2.  E.  Pacific  (Arrhenius,  1952) 

3.  Gulf  of  Mexico  "j 

4.  Gulf  of  Mexico  I    Fisk  and 

5.  Miss.  River  Delta)  McClelland  (1959) 


10 


20  30  40  50  60 

BURIAL  DEPTH  (  meters  ) 


70    80 


Figure  1.   Shear  Strength  versus  Depth  for  Various  Depositional  Areas 

(Moore, 1961) 


12 


b.  Median  Grain  Size 

The  effect  of  grain  size  distribution  on  the  shear  strength 
of  fine  grain  sediments  is  not  well  defined,  however,  it  does  give  some 
measure  of  the  consistency  of  the  material.   Trask  and  Rolston  (1951)  con- 
ducted a  comprehensive  study  of  this  effect  and  concluded  that  for  a  given 
water  content,  the  strength  increased  with  an  increasing  percentage  of  fine 
grained  clay-sized  particles.  Analyses  of  24  cores  from  the  Hatteras  Abyssal 
Plain  by  Stiles  (1967)  demonstrated  that  mass  properties  were  affected  to  a 
greater  degree  by  grain  size  than  any  other  parameter. 

One  study  of  fine  grain  bay  sediments  showed  that  shear 
strength  had  a  positive  correlation  with  grain  size  (Keller,  1964).  However, 
since  an  inverse  relationship  exists  between  grain  size  and  water  content 
(Trask  and  Rolston,  1950)  it  is  probable  that  the  decrease  in  water  content 
as  a  result  of  the  larger  grain  size  was  the  dominant  factor  in  the  higher 
shear  strengths  which  were  noted.   Though  not  considered  in  this  study,  the 
mineralogic  type  of  clay  for  a  given  grain  size  is  also  an  important  factor 
(Trask  and  Rolston,  1951).  As  the  grain  size  increases,  however,  the  specific 
type  of  mineral  becomes  a  less  influential  factor  relative  to  shear  strength 
(Winslow  and  Gates,  1963). 

c.  Water  Content 

Water  content  has  long  been  recognized  as  one  of  the  major 
factors  which  affect  the  shear  strength  of  sediments  (Richards,  1962). 
Trask  and  Rolston  (1950)  show  that  an  inverse  relationship  exists  (for 
specific  grain  size  groups)  between  water  content  and  the  logarithm  of 
shear  strength  of  the  San  Francisco  Bay  sediments.  A  similar  result  was 
found  by  Morelock  (1969)  for  Gulf  of  Mexico  sediments,  however,  Holmes  and 
Goodell  (1964)  indicate  that  a  linear  relation  exists.  Richards  and  Keller 

13 


(1962)  suggest  that  it  may  eventually  prove  possible  to  determine  shear 
strength  from  in-situ  values  of  water  content.   The  water  content  usually 
decreases  with  increased  depth  in  the  sediment  (Richards,  1962),  which 
equates  well  with  a  decrease  in  the  void  ratio  with  increased  overburden 
pressure  so  as  to  permit  the  sediment  to  hold  a  lesser  quantity  of  water. 
In  that  the  void  ratio  is  in  turn  dependent  on  grain  size  (Rominger  and 
Rutledge,  1952)  this  results  in  a  general  dependency  of  water  content  on 
both  grain  size  and  depth  in  the  core.  A  combination  of  these  results 
verifies  an  inverse  relation  between  shear  strength  and  water  content, 
d.   Liquid  Limit 

The  liquid  limit  is  the  water  content,  expressed  in  percent- 
age of  dry  weight,  at  which  a  remolded  soil  is  just  capable  of  resisting  a 
shearing  force  caused  by  several  sharp  impacts.   It  is  generally  considered 
to  represent  the  boundary  between  the  viscou   liquid  state  and  plastic  solid 
state  of  soil.  Casagrande  (1932)  developed  the  first  standardized  pro- 
cedure and  test  device  for  liquid  limit  determination.   This  method,  which 
forms  the  basis  for  American  Society  for  Testing  and  Materials  (ASTM)  pro- 
cedure D-4 23-66,  consists  of  placing  a  remolded  cake  of  soil  in  the  cup  of 
the  test  device   (Figure  2)  then  cutting  a  groove  down  the  middle  of  the 
cake.  The  crank  of  the  device  is  then  rotated  approximately  two  revolu- 
tions per  second  causing  the  cup  to  drop  a  distance  of  one  centimeter, 
striking  a  hard  rubber  surface  with  each  turn.   The  liquid  limit  has  been 
reached  when  the  water  content  is  such  that  it  requires  25  blows  of  the  cup 
to  cause  the  two  halves  of  the  cake  to  come  together  over  a  distance  of  one- 
half  inch  in  the  groove.   This  test  has  developed  into  one  of  the  standard 
procedures  throughout  the  world  in  the  soil  engineering  field.   Casagrande 
(1932)  further  defines  the  liquid  limit  as  a  measure  of  the  remolded  shearing 

resistance  by  the  following  equation: 

14 


LL  =  -F  log  S  +  C 


(2) 


LL  -  Liquid  limit 

F  =  Flow  index  (water  content  range  corresponding  to  the  number  of 
blows  in  one  cycle  on  the  logarithm  (number  of  blows)  -  water 
content  plot) 

S  =  Shearing  resistance  corresponding  to  the  liquid  limit  (constant 
for  all  soils) 

C  =  Constant. 


Metal  trome 


i\ 


<53H 


Operating  handle. 

Front    eleyotion 


«3(pi- 


Shock  obsorbing  boss 
Sectional  eleyotion 


Bross  circular  dish  Co 
hold  specimen 


Figure  2.   Liquid  Limit  Device 
In  spite  of  the  fact  that  the  liquid  limit  is  also  defined  as  a 
measure  of  the  dynamic  shearing  strength  of  soil  at  a  particular  water 
content  (Casagrande,  1958),  it  has  not  been  determined  that  a  significant 
relation  exists  between  liquid  limit  and  the  original  shear  strength.   The 
inclusion  of  liquid  limit  in  this  study  was  based  primarily  on  the  fact 
that  it  has  been  shown  to  be  a  reasonably  good  measure  of  the  consistency 


15 


of  a  soil  (Winslow  and  Gates,  1963;  Skempton,  1944;  Rominger  and  Rutledge, 

1952;  Seed,  et  al., 1964a).   Thus,  at  least  one  term  in  the  equation  would 

account  for  strength  differences  in  sediments  (particularly  clays)  of  varying 
I 

textural  and  chemical  composition, 
e.   Plastic  Limit 

The  plastic  limit  defines  the  lower  boundary  of  the  water 
content  range  over  which  a  soil  will  behave  in  a  plastic  manner  (with  liquid 
limit  as  the  upper  bound,   see  Figure  3).   Below  the  plastic  limit  the  soil 
acts  as  a  semi-solid  and  crumbles  easily.   Due  to  the  empirical  nature  of 
the  plastic  limit,  its  true  nature  is  not  well  understood,  however,  it  has 
been  shown  to  give  a  general  measure  of  the  toughness  of  a  clay  (Casagrande, 
1932).   Plastic  limit  is  quite  sensitive  to  textural  and  mineralogic  changes 
(Grimm,  1962;  Rominger  and  Rutledge,  1952;  Terzaghi,  1955),  and  was  there- 
fore included  as  a  secondary  indication  of  the  sediment  consistency. 


O 

> 


"O 

plastic 

solid 

liquid 

range 

~o 

'e 

a> 

range 

range 

PL  =  Plastic  limit 
LL  =  Liquid  limit 
SL  ■  Shrinkage  limit 


SL  PL      LL 

WATER  CONTENT  (  %  ) 

Figure  3.   Consistency  Limits  (Capper  and  Cassie  ,1960) 
f.   Plasticity  Index 

The  Plasticity  Index  indicates  the  region  over  which  the 
sediment  behaves  plastically  (Figure  3),  and  is  defined  by  the  following 


16 


equation: 

PI  =  LL  -  PL  (3) 

PI  -  Plasticity  index 

LL  =  Liquid  limit 

PL  =  Plastic  limit 

Plasticity  index  was  not  utilized  in  the  analysis  for  the  shear  strength 
prediction  equation  in  that  it  is  a  combination  of  two  terms  already  included, 
It  was  employed, however,  in  determining  significant  correlations  among  other 
properties. 

g.    Liquidity  Index 

Liquidity  index  is  expressed  by  the  following  ratio  which 
relates  the  natural  water  content  to  the  plastic  range  as  defined  in  Figure 
3: 

tt  -  WCO  -  PL 

LI PI (4) 

LI  =  Liquidity  Index 

WCO  =  Original  water  content 

As  is  evident  from  equation  (4)  a  liquidity  index  between  zero  and  one 
results  when  the  natural  water  content  is  less  than  the  liquid  limit.   The 
material  is  thus  in  the  plastic  range.   Most  marine  sediments,  particularly 
those  near  the  sediment-water  interface,  have  a  liquidity  index  greater  than 
one,  indicating  that  they  exist  naturally  in  a  "liquid"  state.   Rominger  and 
Rutledge  (1952)  indicate  that  liquidity  index  strongly  reflects  the  loading 
history  of  soils  by  effectively  canceling  the  lithologic  influence  on  water 
content  and  plasticity  index.   Liquidity  index  was  also  included  in  the  in- 
vestigation  for  the  purpose  of  checking  interrelationships  with  other  sedi- 
ment parameters. 


17 


3.   Other  Investigations 

In  addition  to  those  parameters  analyzed  as  part  of  this  in- 
vestigation, other  properties  have  been  shown  to  influence  shear  strength 
under  specific  circumstances. 

A  comprehensive  study  of  the  shallow  water  sediments  of  St. 
Andrews  Bay,  Florida,  showed  that  the  ratio  of  kaolinite  to  illite  clay 
was  one  of  three  major  factors  determining  the  variation  in  shear  strength 
(Holmes  and  Goodell,  1964).   Trask  and  Rolston  (1950)  also  comment  that 
the  type  of  clay  mineral  could  be  one  of  the  main  parameters  affecting 
sediment  strength.  Analysis  of  the  sediments  obtained  from  the  Mohole 
(Guadalupe  site)  tends  to  confirm  this  theory  (Moore,  1964). 

It  is  apparent  from  data  collected  at  a  variety  of  locations 
that  the  average  depositional  rate  should  be  considered  when  estimating 
the  bearing  capacity  of  sediments  (Moore,  1964).   Shallow  coastal  regions 
are  generally  the  areas  where  the  depositional  rate  exceeds  the  ability 
of  the  sediment  to  consolidate  in  a  normal  manner  (Figure  1).   Therefore, 
it  is  not  considered  to  be  of  particular  importance  when  dealing  with 
deep  sea  sediments  which  are  deposited  much  more  slowly  in  a  grain  by  grain 
fashion. 

Calcium  carbonate  undoubtedly  contributes  to  shear  strength  as 
a  result  of  some  form  of  cementation  of  the  individual  grains.   The  exact 
effect  is  variable,  however  both  the  St.  Andrews  Bay  and  Mohole  samples 
displayed  a  positive  correlation  between  percent  CaC0„  and  shear  strength 
(Holmes  and  Goodell,  1964;  Moore,  1964).   No  attempt  was  made  to  correlate 
percent  carbonate  and  shear  strength  in  this  report  due  to  the  inaccuracy 
of  the  limited  data  available  (M.  C.  Hironaka,  personal  communication). 


18 


Finally,  the  porosity  of  sediments  has  been  reported  to  exhibit  an 
inverse  relation  with  shear  strength  (Moore  ,1964) .   This  is  a  natural 
result  of  a  decrease  in  void  volume  as  the  overburden  pressure  increases, 


19 


II.   REPRODUCIBILITY  OF  PARAMETERS 

A.  DISCUSSION 

In  order  to  fulfill  the  primary  objective  of  this  study,  the  original 
values  of  all  of  the  index  properties  included  as  terms  in  the  shear  strength 
prediction  equation  must  be  reproducible  from  partially  dried  sedimentary 
material.   Initial  interest  in  this  regard  was  centered  around  liquid  limit 
and  its  correlation  to  shear  strength.   Detailed  tests  were  therefore  con- 
ducted to  determine  to  what  extent  the  "original"  value  could  be  reproduced 
after  the  sediment  had  been  thoroughly  air  dried. 

B.  LIQUID  LIMIT 

1.   Background 

Liquid  limit  has  long  been  recognized  as  a  useful  empirical  mea- 
sure of  the  classification  and  consistency  of  soils  (Casagrande,  1948). 
Considerable  study  has  centered  around  the  variables  affecting  liquid  limit, 
and  also  the  testing  and  rehydration  procedures.   Russell  and  Mickle  (1970), 
and  Rominger  and  Rutledge  (1952)  have  briefly  summarized  the  results  of 
these  investigations. 

The  liquid  limit  of  soils  is  currently  determined  following  ASTM 
procedure  D-423-66,  utilizing  the  Casagrande  Liquid  Limit  device  (Casagrande, 
1932).   The  steps  necessary  for  preparation  of  the  sample  for  this  test, 
as  specified  in  ASTM  procedure  D-421-58,  require  a  complete  air  drying 
and  then  thorough  breaking-up  of  all  aggregations  prior  to  rehydration  to 
the  liquid  limit.  Although  the  values  obtained  from  terrigenous  soils  by 
this  method  were  less  than  those  determined  from  natural  un-dried  samples 
(Casagrande,  1932;  Winslow  and  Gates,  1963),  the  relative  percentage  differ- 
ence was  not  excessive.   Marine  sediments  present  a  much  different  situation, 

20 


in  that  they  exist  in  the  natural  state  at  water  contents  far  in  excess  of 
the  liquid  limit.   For  convenience,  and  in  accordance  with  other  methods 
(Lambe,  1951),  many  laboratories  perform  the  liquid  limit  test  on  marine 
sediments  without  going  through  the  drying  process,  as  sufficient  desi- 
ccation may  take  several  days,  or  even  weeks  to  complete.   Liquid  limits 
determined  in  this  manner  are  thus  representative  of  their  in-situ  values. 
Since  the  majority,  if  not  all,  of  the  values  used  in  this  analysis  were 
obtained  from  undried  samples,  it  was  necessary  to  investigate  the  effect 
of  a  complete  air  drying  on  the  reproducibility  of  the  original  liquid 
limit. 

2.   Test  Procedures 

The  20  sediment  specimens  used  in  this  experiment  were  obtained 
from  four  cores  collected  in  a  water  depth  of  approximately  7200  feet  at  a 
location  40  miles  west  of  Monterey,  California.  A  gravity  corer  with  a  PVC 
liner  and  420  pounds  of  weight  was  used  to  obtain  these  samples.   Immediately 
after  removal  from  the  corer,  the  liners  were  capped  and  placed  in  a  barrel 
of  sea  water  to  prevent  desiccation.   Within  two  weeks  after  collection,  the 
cores  were  cut  apart  and  tested  without  drying.   The  values  obtained  were 
thus  considered  to  be  valid  in-situ  or  "original"  values  of  liquid  limit. 

After  this  first  test,  the  samples  were  placed  in  open  glass  containers 
and  allowed  to  dry  at  room  temperature  for  a  period  of  approximately  four 
months.   The  hardened  material  was  then  rehydrated  with  distilled  deionized 
water  and  allowed  to  "soak"  for  24  to  72  hours.   Distilled  deionized  water 
was  used  on  the  assumption  that  this  represented  as  closely  as  possible  the 
water  which  had  evaporated  during  drying  and  to  avoid  any  complications 
which  might  arise  from  exchangeable  ions.   It  was  theorized  that  the  salts 
in  the  original  sea  water  would  again  redissolve  in  the  distilled  water. 

21 


The  excessive  rehydration  time  was  employed  to  assure  that  the  sediment  had 
absorbed  as  much  water  as  possible.   Winslow  and  Gates  (1963)  determined 
that  the  best  results  are  obtained  if  a  24  hour  rehydration  time  is  used 
when  attempting  to  reproduce  the  Atterberg  limits  of  dried  soils.   Upon 
completion  of  rehydration,  the  soft  wet  aggregates  were  broken  up  and  the 
sediment  thoroughly  remolded  to  assure  homogeneity  prior  to  conducting  the 
liquid  limit  test. 

Upon  completion  of  the  second  set  of  tests,  the  sediment  was  placed 
under  an  exhaust  vent  and  again  allowed  to  air  dry.   Complete  drying  in 
this  manner  required  from  one  to  three  days.   When  the  specimens  were  thor- 
oughly dry,  they  were  broken  up  in  a  motar,  as  required  by  ASTM  procedure 
D-421-58,  and  rehydrated  in  the  same  manner  as  described  above.  At  the 
end  of  the  rehydration  period,  each  sample  was  vigorously  mixed  and  then 
tested  for  liquid  limit. 

3.    Test  Results 

As  was  anticipated,  after  the  air  drying  process,  the  liquid  limits 
were  lower  than  the  values  obtained  prior  to  drying.   The  high  percentage 
reductions  involved,  on  the  order  of  30%  to  40%,  were  however,  totally  un- 
expected (Table  I).   Casagrande  (1932)  does  note  that  organic  colloids  are 
partially  destroyed  upon  drying,  but  a  reduction  in  the  liquid  limit  value 
from  this  cause  is  most  significant  when  the  material  has  been  oven  dried. 
From  the  initial  liquid  and  plastic  limit  values,  all  specimens  analyzed  in 
this  experiment  plotted  below  the  "A"  line  on  the  plasticity  chart  (Casagrande, 
1948),  suggesting  that  they  were  organic  in  nature  (Figure  4).   Casagrande 
presents  data  showing  a  decrease  of  28.8%,  26.4%,  and  15.9%  in  the  liquid 
limits  of  three  oven  dried  samples.   Presumably  the  percent  decrease  would 
have  been  less  had  the  samples  been  air  dried. 

22 


TABLE  I 


LIQUID  LIMIT  TEST  RESULTS 


CORE 

Interval 
in. 

Original 
Liquid 
Limit 

Liquid 
Limit 
After  One 
Drvine 

Liquid 
Limit 
After  Two 
Drvings 

CH-2 

0-3 

130.0 

82.0 

76.0 

12-15 

127.0 

82.4 

77.4 

24-27 

135.0 

85.2 

76.2 

36-39 

128.0 

80.8 

75.1 

48  51 

119.0 

85.0 

74.6 

60-63 

107.0 

78.6 

71.2 

HH-1 

0-3 

131.3 

87.4 

74.9 

12-15 

128.5 

87.6 

74.7 

24-27 

134.3 

89.4 

79.2 

36-39 

117.5 

85.7 

75.1 

48-51 

117.8 

83.8 

71.5 

NR-1 

0-3 

126.9 

87.3 

78.4 

12-15 

114.3 

84.2 

75.1 

24-27 

123.8 

84.0 

77.1 

36-39 

119.9 

81.8 

71.9 

48-51 

107.5 

76.3 

73.7 

SW-1 

0-3 

106.8 

83.4 

78.5 

12-15 

187.0 

87.8 

77.1 

24-27 

65.5 

84.5 

81.0 

36-39 

102.5 

102.0 

74.3 

23 


• 

100 

I  nor  go 

nic  Soil                   /• 

X    80 
"O 

*60 

(J 

O 
o_    40 

• 

Organic  Soil 

20 

• 

I 

• 
• 

• 
I             I             l             I 

i 

80  100  120  140  160  180 

Liquid  Limit 

Figure  4.   Plasticity  Chart  for  Sediment  Samples 
Used  in  the  Liquid  Limit  Tests 

Wins  low  and  Gates  (1963)  conducted  comprehensive  tests  on  drying  and 
rehydration  methods  for  both  organic  and  inorganic  soils.   They  observed 
virtually  no  decrease  in  liquid  limits  for  both  types  of  soil  after  a  24 
hour  rehydration  period.   Two  soils  which  contained  montmorillonite  clay 
did  exhibit  a  decrease  in  liquid  limit  of  18.57,,  and  137„  even  after  rehydra< 
tion  for  24  hours.   It  was  also  noted  that  up  to  a  20%  reduction  in  liquid 
limit  can  be  expected  if  the  rehydration  period  is  less  than  30  minutes. 
As  may  be  seen  from  Table  I,  the  liquid  limits  obtained  from  the  second 
and  third  tests  were  distributed  over  a  much  narrower  range  than  were  the 
original  values.   Possibly  this  may  be  attributed  to  the  inexperience  of 
the  operators  who  determined  the  initial  values.   All  subsequent  liquid 
limits  (in  the  second  and  third  series)  were  performed  by  more  experienced 
personnel. 

In  remolding  the  material  after  the  first  drying  and  rehydration  it 
proved  easy  to  break  the  large  wet  aggregates  apart,  but  considerable 

24 


mixing  was  required  to  return  it  to  a  condition  similar  to  the  original 
smooth  consistency.   This  was  not  nearly  as  great  a  problem  in  the  final 
group  of  tests  where  the  dried  sediment  had  been  ground  to  a  fine  powder 
prior  to  adding  water.   The  narrow  range  of  values  appears  to  support  the 
fact  that  the  material  was  somewhat  more  homogeneous  in  the  third  series  of 
tests. 

One  difficulty  with  the  procedure  involving  grinding  is  that  liquid 
limit  has  a  fairly  high  negative  correlation  with  median  grain  size.   Per- 
haps this  pulverizing  of  deep  sea  sediments,  which  are  extremely  hard  when 
dried,  may  result  in  erroneous  values  depending  on  the  degree  of  grinding. 

Although  it  is  evident  from  this  experiment  that  the  liquid  limit  deter- 
mined from  a  dried  marine  sediment  will  be  lower  than  the  in-situ  value,  the 
degree  of  this  reduction  is  uncertain.   In  effect,  the  liquid  limit  of  oceanic 
sediments  cannot  presently  be  considered  to  be  a  reproducible  quantity. 

The  multiple  correlation  coefficient  between  the  second  test  values 
and  the  original  liquid  limits  for  three  of  the  four  cores  (the  initial 
values  for  the  fourth  core  were  erroneous)  was   .662.   It  is  therefore 
quite  possible  that  a  relation  may  eventually  be  developed  which  will  enable 
the  computation  of  in-situ  liquid  limits  from  the  combined  values  of  organic 
content  and  the  liquid  limit  as  determined  after  the  sediment  has  dried. 

C.   OTHER  PARAMETERS 

1.   Depth  in  the  Core 

The  usual  practice  when  storing  sediment  cores  is  to  mark  the 
depth  intervals  on  the  container  itself.   If  a  certain  section  is  removed 
for  testing,  a  dummy  plug  is  inserted  in  its  place,  keeping  all  material  in 
proper  relative  position.   Therefore,  it  should  be  possible  to  determine 
the  depth  interval  of  a  specimen  with  little  difficulty. 

25 


2.  Water  Content 

With  the  exception  of  the  results  of  analysis  conducted  as  part  of 
this  investigation   (Section  IV),  there  is  presently  no  method  of  reproducing 
the  in-situ  water  content.   An  investigation  is  currently  being  conducted 
at  the  Naval  Postgraduate  School  on  a  correlation  between  water  content  and 
salt  content  of  marine  sediments.   If  successful  it  will  then  be  possible 
to  determine  the  original  water  content  by  chemical  means. 

3.  Median  Grain  Size 

According  to  ASTM  procedure  D-421-58  air  dried  samples  should  be 
broken  apart  in  a  mortar  prior  to  grain  size  analysis.   Lambe  (1951)  specifies 
that  the  sample  should  not  be  dried,  particularly  if  clay  is  present,  as  the 
individual  particles  may  undergo  a  change  in  size  or  shape.   In  dealing  with 
marine  sediments,  satisf.-.ctory  reproducible  results  appear  to  be  obtained  if 
the  specimen  has  not  completely  dried.   If  the  material  has  dried,  it  is 
presumed  best  to  rehydrate  the  sediment  over  a  period  of  several  days  until 
it  is  fluid  enough  to  conduct  the  mechanical  analysis.   In  this  manner  there 
will  possibly  be  little  or  no  damage  to  the  individual  grains.   Breaking-up 
in  the  dry  state  as  specified  by  ASTM  procedure  D-421-58  is  not  recommended 
for  marine  sediments. 

4.  Plastic  Limit 

Since  the  plastic  limit  is  also  affected  by  the  consistency  of  the 
soil,  it  is  assumed  that  it  is  reproducible  to  approximately  the  same  degree 
as  is  the  liquid  limit.   This  assumption  is  based  on  only  a  limited  amount 
of  research  conducted  on  this  subject  (Casagrande,  1932;  Winslow  and  Gates, 
1963). 


26 


III.   DATA 

A.    INITIAL  REQUIREMENTS  AND  LIMITATIONS 

The  nature  of  this  study  necessitated  that  the  data  acquisition  be 
limited  to  those  cores  which  had  been  tested  for  nearly  all  their  engineering 
parameters.   The  liquid  limit  and  median  grain  size  were  of  particular  in- 
terest, hence  such  data  was  not  useful  unless  these  two  properties  had  been 
determined.   Following  these  requirements,  data  relative  to  approximately  200 
cores  was  obtained  from  four  sources.   The  majority  of  this  was  provided  by 
the  Naval  Civil  Engineering  Laboratory  in  Port  Hueneme,  California.  Addi- 
tional information  was  also  obtained  from  technical  reports  by  Richards  (1962) 
and  Keller  (1964),  and  from  the  National  Oceanographic  Data  Center. 

The  following  two  additional  limitations  were  imposed  on  this  initial 
data.   First,  in  order  to  truly  represent  a  deep  sea  environment,  only  those 
cores  taken  in  water  deeper  than  6000  feet  were  considered.  Although  it  is 
recognized  that  portions  of  the  continental  slope  may  thereby  be  included, 
such  a  depth  was  selected  based  on  the  availability  of  data  and  also  on  the 
assumption  that  sediment  composition  does  not  vary  significantly  between 
6000  feet  and  the  deeper  abyssal  plains.   Additionally,  deep  ocean  sediments 
are  not  apt  to  be  over-consolidated  and  therefore  very  few  abnormally  high 
shear  strength  layers  will  exist  to  distort  the  results.   Smith  (1962)  pro- 
vides a  discussion  on  the  merits  of  classifying  various  different  provinces 
of  the  ocean  according  to  water  depth.   In  view  of  the  extremely  fine  grain 
size  of  most  deep  sea  sediments,  0.01  millimeters  (Wentworth  fine  silt)  was 
established  as  the  upper  limit  of  median  grain  size  for  each  core  specimen 
included  in  the  analysis.   Samples  having  a  greater  median  grain  size  in- 
variably contained  a  high  percentage  of  coarse  silt  and  sand,  and  were 


27 


therefore  assumed  to  be  non-representative  of  true  deep  sea  sediments. 
The  above  restrictions  resulted  in  114  cores  being  included  in  the  final 
analysis,  from  which  a  total  of  701  data  points  were  derived.   Consider- 
able effort  was  required  to  accumulate  this  data,  and  it  is  probable  that 
it  represents  the  majority,  if  not  all,  of  the  existing  deep  sea  sedi- 
ment cores  in  the  United  States  on  which  a  full  suite  of  engineering 
properties  have  been  evaluated.   The  actual  data  for  those  parameters 
utilized  is  tabulated  in  Appendix  I. 

B.   GENERAL 

Tables  II,  III  and  IV  and  Figure  5  through  Figure  9  give  geographical 
position,  depth,  and  other  general  information  about  the  cores  utilized  in 
this  study.   The  exact  locations  of  33  of  these  cores  was  not  available, 
hence  only  their  approximate  position  is  listed.   The  "Data  Points"  column 
refers  to  the  number  of  intervals  in  each  core  that  met  the  initial  estab- 
lished requirements.   For  ease  in  data  handling  and  presentation,  each  core 
was  assigned  a  reference  number.   This  number  is  used  in  identifying  the  core 
locations  on  Figures  5  through  9.   The  tables  also  identify  the  cores  ac- 
cording to  their  original  designation  as  assigned  by  the  collecting  agency. 

In  order  to  give  a  more  complete  picture  of  the  ranges  and  statistical 
parameters  of  each  of  the  engineering  properties  analyzed,  Table  V  and  Fig- 
ure 10  through  Figure  15  were  prepared.   It  will  be  noted  that  the  plastic 
limit,  plasticity  index,  and  liquidity  index  were  determined  on  573  of  the 
samples  studied. 

It  is  of  particular  interest  that  several  of  the  histograms,  notably  that 
for  water  content,  approach  a  normal  distribution.   The  histogram  for  liquid 
limit  values  are  evenly  distributed,  though  the  histogram  is  more  peaked  than 


28 


normal,  and  the  high  concentration  of  median  grain  sizes  around  9.5  cp  is 

quite  apparent.  As  may  be  seen  in  Figure  10,  shear  strengths  of  less  than 

2 
90  gm/cm  obviously  predominate  in  these  cores. 


29 


TABLE  II 


POSITIONS  OF  NAVAL  CIVIL  ENGINEERING  LABORATORY  CORES 


Reference     Original  Data  Position 

Number     Designation   Depth  (FT)   Points  Longitude        Latitude 


1 

to 

18 

BS-A 

Series 

9780/13, 

300 

120 

See  Fig.  8 

19 

to 

41 

BS-B 

Series 

14,150/15,450 

197 

See  Fig.  8 

42 

to 

55 

BS-C 

Series 

11,700/19 

,200 

60 

See  Fig.  9 

56 

C6-C1 

8100 

8 

41°44'N 

64°58'W 

57 

SM-1 

6000 

6 

33°52'N 

120°35.8'W 

58 

SM-2 

6000 

7 

33°52.2'N 

120°36.0'W 

59 

9-1 

11,400 

7 

33°46.8'N 

121°50.9'W 

60 

9-2 

11,650 

8 

33°49.5'N 

121°49.9'W 

61 

9-3 

11,700 

8 

33*48. 9'N 

121°51.5'W 

62 

9-4 

11,700 

7 

33°47.9'N 

121°52.4'W 

63 

10-1 

12,100 

1 

32°00.1'N 

120°39.8'W 

64 

10-2 

12,100 

7 

32°01.1'N 

120*38. 8'W 

65 

10-3 

12,200 

7 

31°58.2'N 

120°38.8'W 

66 

PMR-1 

8,700 

4 

33°49.3'N 

121°09.4'W 

67 

A 

17,100 

2 

N.  of  Christmas  Island* 

68 

B 

18,900 

3 

Tokalau  Trough* 

69 

C 

18,900 

2 

Tonga  Trench* 

70 

D 

14,400 

3 

S.  Fiji  Bas 

in* 

71 

E 

15,900 

3 

Tasman  Abyssal  Plain* 

72 

F 

14,400 

5 

Coral  Sea  B 

a  sin* 

73 

FT 

14,400 

5 

Coral  Sea* 

30 


Reference   Original  Data         Position 

Number     Designation   Depth  (FT)   Points   Longitude     Latitude 


74 

G 

14,700 

4 

Solomon  Basin* 

75 

H 

13,200 

6 

Solomon  Basin* 

76 

K 

10,800 

5 

W.  Timor  Sea* 

77 

LI 

and  LT1 

18,600 

10 

W.  of  Java  Trench* 

78 

LT2 

18,600 

5 

W  of  Java  Trench* 

79 

M 

21,600 

5 

Java  Trench* 

80 

N 

14,400 

8 

W.  of  Sumatra* 

82 

0 

13,800 

6 

Indian  Ocean* 

81 

OT 

13,800 

4 

Indian  Ocean* 

83 

P 

and  PT 

10,500 

5 

Bay  of  Bengal* 

84 

Q 

and  QT 

9,600 

4 

Andaman  Basin* 

*Exact  positions  for  these  cores  were  not  available 


31 


TABLE  III 


POSITIONS  OF  CORES  FROM  A  TECHNICAL  REPORT 
(Richards,  1962) 


Reference 

Original 

Number 

Designation 

85 

D-lp 

86 

E-46 

87 

E-47 

88 

E-48 

89 

F-6 

90 

F-10 

91 

F-ll 

92 

F-12 

93 

F-13 

94 

F-14 

95 

F-15 

96 

F-16 

Data         Position 
Depth  (FT)   Points   Longitude    Latitude 


8,400 
6,600 
6,600 
7,200 
7,440 
8,040 
8,040 
7,940 
7,920 
7,850 
7,920 
7,920 


1 
4 
4 
2 

13" 
4 
7 
5 
3 
8 
7 
3 


> 


30°N 


45°N 


42°N 


75°W* 


57°W* 


65°W* 


*Exact  positions  for  these  cores  were  not  available 


32 


TABLE  IV 


POSITIONS  OF  NATIONAL  OCEANOGRAPHIC  DATA  GENTER  CORES 


Reference     Original 
Number      Designation 


Data        Positions 
Depth(FT)    Points  Longitude    Latitude 


97 

31884-2A 

14,950 

1 

16°55'N 

179°06'E 

98 

31884 -4A 

18,750 

2 

llo02'N 

179°58'W 

99 

31884-7A 

19,150 

1 

01°57'N 

179*46 fW 

100 

31884-19A 

15,450 

1 

02°00'N 

160°00'W 

101 

BS-1 

12,100 

3 

24°18'N 

86°20'W 

102 

BS-2 

12,100 

2 

24°25'N 

85°39'W 

103 

BS-3 

6,230 

4 

24°45'N 

85°49»W 

104 

Proj.101 

BS-1 

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Figure  8.   East  Pacific  Core  Locations 


37 


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38 


TABLE  V 


GENERAL  SEDIMENT  PARAMETER  STATISTICAL  INFORMATION 


SEDIMENT  PROPERTY 

Number 
of 
Observation; 

Mean 

Standard 
Deviations 

2 
Shear  Strength  (gm/cm  ) 

701 

43.4 

21.4 

Water  Content  (%) 

701 

128.0 

45.6 

Liquid  Limit  (%) 

701 

93.7 

24.8 

Plastic  Limit  (7.) 

573 

39.4 

13.5 

Median  Grain  Size  (0) 

701 

9.1 

1.0 

Plasticity  Index  (%) 

573 

52.9 

18.9 

Liquidity  Index  (%) 

573 

1.72 

.802 

39 


132 


120 


117 


z 

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LU 


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60 


40 


20 


22 


111 


96 


57 


38 


30 


i2ll 


0  20  40  60  80  100         120         140         160 

SHEAR  STRENGTH  ( gm/cm  ) 


180 


Figure  10.   Shear  Strength  Histogram 


LU 

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93 


64 


44 


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107 


109 


72 


32 


28 


10 


16 


10 


5     5 


20  40  60  80  1O0         120        140         160         180       2CXT       300        400 

WATER  CONTENT  (  %  ) 
Figure   11.      Water  Content  Histogram 


40 


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140  - 


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LIQUID  LIMIT  (%  ) 


Figure    12.      Liquid  Limit  Histogram 


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PLASTIC  LIMIT  (%  ) 


Figure  13.   Plastic  Limit  Histogram 


41 


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6  7  8  9  10  11 

MEDIAN  GRAIN  SIZE  (cp) 


3  1_JL 


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Figure  14.   Median  Grain  Size  Histogram 


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SENSITIVITY 


Figure  15.   Sensitivity  Histogram 


42 


IV.   STATISTICAL  ANALYSIS 

A.    METHOD 

1.  Regression  Analysis 

Stepwise  multiple  linear  regression  was  employed  in  the  determina- 
tion of  both  the  final  shear  strength  prediction  equation  and  significant 
correlations  between  other  engineering  parameters.   The  Naval  Postgraduate 
School  IBM-360  FORTRAN  library  program  BMD02R  was  used  for  this  analysis. 
This  is  one  of  the  Bio-medical  series  regression  programs  developed  by  the 
University  of  California,  Berkeley  (Dixon,  1970).   Stepwise  multiple  re- 
gression was  selected  in  that  none  of  the  variables  examined  were  considered 
to  be  completely  independent  of  the  other  engineering  properties.   Utilizing 
this  procedure,  the  data  is  analyzed  to  determine  which  parameter  explains 
the  greatest  portion  of  the  variability  in  the  dependent  variable.   The 
program  continues  in  steps,  successively  selecting  the  next  most  important 
variable  to  be  added  to  the  regression  equation  until  all  the  variables 
which  meet  specified  requirements  have  been  included.   The  term  chosen  in 
the  final  step  thus  explains  the  least  percentage  of  the  variability. 
Holmes  and  Goodell  (1964)  present  a  discussion  on  the  merits  and  limitations 
of  applying  regression  techniques  to  natural  sediment  systems.   In  the 
analysis  which  follows,  R  is  defined  as  the  multiple  correlation  coefficient, 
That  portion  of  the  variance  of  the  dependent  variable  which  is  accounted 
for  by  the  estimated  linear  regression  on  the  independent  variables  is  de- 
noted by  RSQ  (Hays  and  Winkler,  1970). 

2.  Confidence  Limits 

■   ii »  .  .-i  ■■    * 

Limits  for  the  957»  confidence  level  have  been  drawn  on  the  shear 
strength  and  water  content  plots  (Figure  16  and  Figure  18).   These  limits 

43 


indicate  the  approximate  accuracy  of  the  predicting  equations.   If  all 
computed  values  were  exactly  equal  to  the  true  values,  every  point  would 
fall  bn  the  45°  line,  and  hence  the  confidence  limits  would  have  no 
meaning.  Where  a  scatter  of  data  exists,  however,  the  confidence  limits  de- 
fine the  percentage  of  points  which  fall  both  within,  and  without,  the  parti- 
cular bounds.   For  the  957»  level,  5%  of  the  points  will  fall  somewhere  outside 
the  confidence  limits.   In  utilizing  the  respective  equation,  it  can  be 
assumed  that  there  is  a  957o  probability  the  computed  value  will  be  within 
the  limit  bounds. 

B.    STATISTICAL  RESULTS 

1 .    Shear  Strength  and  Vater   Content  Equations 

Approximately  60  separate  regression  analyses  were  conducted  to 
establish  the  optimum  shear  strength  prediction  equation.  With  the  excep- 
tion of  median  grain  size,  which  proved  too  insignificant  for  inclusion, 
correlation  coefficients  between  each  parameter  and  shear  strength  were 
highest  when  the  logarithm  of  shear  strength  was  used  as  the  dependent 
variable  (Table  VI).   The  column  titled  "Equation  Multiple  Correlation  Co- 
efficient" in  Table  VI  refers  to  the  coefficient  obtained  when  the  four 
most  significant  variables  were  included  in  the  respective  shear  strength 
regression  equation.   When  the  natural  value  of  shear  strength  was  used  as 
the  dependent  variable,  liquidity  index  replaced  liquid  limit  in  the  equa- 
tion.  It  is  of  interest  to  note  that  liquid  limit  did  not  prove  particularly 
significant  in  any  equation  unless  water  content  was  included  as  one  of  the 
parameters.   The  equation  derived  which  explains  the  maximum  variation  of 
shear  strength  is  as  follows: 

Log(SS)  =  1.866  +  0.0023(LL)  -  0.597(1/D*3)  -  0. 00454 (WCO)  +  0.00672(PL)  (5) 

44 


TABLE  VI 


SHEAR  STRENGTH  CORRELATION  COEFFICIENTS 


DEPENDENT 
VARIABLE 

INDEPENDENT  VARIABLES 

MR 

WC 

LL 

PL 

D 

DM 

cp 

PI 

LI 

Shear 

Strength 

(gm/cm2) 

-.318 

-.119 

-.080 

.259 

-.298 

-.215 

-.106 

-.266 

.506 

Logarithm 

(Shear 
Strength) 

-.374 

-.177 

-.139 

.312 

-.3/5 

-.175 

-.140 

-.267 

.558 

WC  =  Water  Content  (%) 

LL  =  Liquid  Limit  (7«) 

PL  =  Plastic  Limit  (%) 

D  =  Depth  in  the  core  (cm) 

DM  -  1/D*3 

cp  =  Median  Grain  Size  (cp  units) 

PI  =  Plasticity  Index 

LI  =  Liquidity  Index 

MR  =  Equation  Multiple  Correlation  Coefficient 


45 


SS  ■  Shear  strength  (gm/cm  ) 

LL  -  Liquid  limit  (%) 

D  =  Depth  in  the  core  (cm) 

WCO  =  Original  water  content  (%) 

PL  =  Plastic  limit  (%) 

True  versus  computed  values  (using  equation  5)  of  shear  strength  are 
plotted  in  Figure  16.   Though  the  957«  confidence  limits  are  a  bit  wide, 
additional  data  will  undoubtedly  reduce  the  variability. 

The  depth  term  in  equation  (5)  differs  considerably  from  the  linear 
relation  reported  by  Arrhenius  (1952),  Bjerrum  (1954),  Richards  (1961), 
Moore  (1964),  and  others.   The  non-linear  manner  in  which  sediment  compacts, 
suggests  that  a  depth-shear  strength  relationship  is  also  probably  non- 
linear. An  extensive  amount  of  numerical  analysis  was  therefore  conducted 
to  determine  the  highest  correlation  between  the  two  parameters.   In  every 

comparison  with  logarithmic  or  natural  values  of  shear  strength,  the  term 

.3 
1/D"  proved  to  have  the  greatest  correlation  coefficient  (Table  VII). 

When  this  term  was  included  in  a  multiple  regression,  the  significance 

(increase  in  RSQ)  of  the  linear  depth  term  decreased  to  nearly  zero. 

TABLE  VII 
CORRELATION  COEFFICIENTS  FOR  DEPTH  IN  THE  CORE 


Shear  Strength 
Relation 

D 

1/D"3 

D  +  1/D*3 

Shear  Strength 
(gm/cm2) 

.276 

-.282 

.299* 

Logarithm 
(Shear  Strength) 

.313 

-.343 

.354* 

*Multiple  correlation  coefficient 


46 


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As  noted  previously,  the  depth  term  exhibited  a  higher  correlation 
coefficient  when  compared  with  the  logarithm  of  shear  strength.   Computed 
strength,  utilizing  the  most  significant  depth  relationship,  and  actual 
strength  for  a  typical  core  are  plotted  in  Figure  17,  together  with  data 

from  Arrenhenius  (1952)  and  Richards  (1961).   It  should  be  noted  that  the 

3 
1/D"  term  exerts  a  measurable  influence  on  the  strength-depth  relation- 
ship to  a  depth  of  only  approximately  60  centimeters.   This  is  the  portion 
of  a  sediment  column  which  is  undergoing  the  greatest  amount  of  consolida- 
tion, and  as  expected  the  increase  in  strength  exceeds  a  linear  rate.   Be- 
low this  depth,  the  rate  of  increase  is  essentially  linear,  as  observed  by 
Arrhenius  (Figure  17).   It  was  also  very  interesting  to  note  the  similarity 
between  the  linear  shear  strength  -  depth  relationship  developed  by  Arrhenius 
(1952)  and  that  calculated  in  this  study.   The  two  equations  are  respectively 

SS  =  55.0  +  0. 00143 (D)  (6) 

SS  =  36.2  +  0.00142(D)  (7) 

2 
SS  =  Shear  strength  (gm/cm  ) 

D  =  Depth  (cm) 

Though  the  slopes  of  the  two  relationships  are  virtually  identical, 
the  reason  for  the  difference  in  the  constant  terms  is  not  evident. 

Original  water  content  values  were  utilized  in  the  derivation  of  equa- 
tion (5).   Though  this  is  presently  not  a  reproducible  quantity,  the  true 
values  were  included  in  the  first  analysis  on  the  assumption  that  it  may 
eventually  be  possible  to  determine  the  original  water  content  of  dried 
marine  sediments  by  chemical  means  (Section  II. C. 2).   To  solve  the  immediate 
problem  of  determining  a  value  of  water  content  to  be  employed  in  equation 
(5),  a  second  regression  analysis  was  conducted  to  establish  correlations 

48 


10 


20 


30 


40 


50- 


SHEAR  STRENGTH  (gm/cm    .) 
25 50 75 


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Profile  (Arrhenius,l952) 


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Richards  (I96I) 


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Strength  Profile       ~ 
Defined  by  (D  +  l/D      ) 


True  and  Computed  Shear  Strengths  vs.   Depth   in   the  Core 


49 


between  water  content  and  the  other  properties.   Results  of  this  analysis 
indicate  that  water  content  itself  may  be  predicted  with  a  farily  high  degree 
of  accuracy  (multiple  correlation  coefficient  =  .881)  on  the  assumption  that 
liquid  limit,  plastic  limit  and  median  grain  size  are  reproducible  quantities. 
Utilizing  the  available  data,  the  water  content  prediction  equation  is: 

UCC  =  0.689 (LL)  +  1.648 (PL)  -  0.0752(D)  +  7.74  (cp)  -  67.65   (8) 

WCC  =  Computed  water  content  (7„) 

LL  =  Liquid  limit  (%) 

D  =  Depth  in  the  core  (cm) 

cp  =  Median  grain  size  (phi  units) 

PL  =  Plastic  Limit  (%) 

The  grain  size  and  depth  terms  of  equation  (8)  account  for  slightly  over 
three  percent  of  the  total  variability  of  water  content.   Since  grain  size 
analysis  is  a  time  consuming  laboratory  process,  this  term  may  be  ignored 
with  but  little  loss  in  accuracy.   The  resulting  equation  then  takes  the 
form: 

WCC  =  0.927(LL)  +  1.336(PL)  -  0.0718(D)  -  7.742         (9) 

This  equation  accounts  for  slightly  over  757»  of  the  variability  of 
water  content  (Figure  18) . 

In  order  to  give  a  more  valid  picture  of  the  predictability  of  the 
value  of  shear  strength,  the  shear  strength  regression  was  re-run  with 
equation  (8)  substituted  for  water  content  in  equation  (5).  Although  the 
overall  significance  of  the  equation  was  reduced  by  seven  percent,  it  was 
still  considerably  higher  than  if  no  water  content  term  were  included. 


50 


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51 


2.   Other  Correlations 

In  the  process  of  analysis  of  the  data,  several  additional  in- 
teresting relationships  between  the  sediment  parameters  were  investigated. 

a.   Liquidity  Index  -  Logarithm  Sensitivity 

Bjerrum  (1954)  briefly  discusses  a  relationship  between  the 
logarithm  of  sensitivity  and  the  liquidity  index  of  Norwegian  marine  clays. 
Richards  (1962)  presents  similar  results  for  various  Atlantic  Ocean  sediments, 
In  the  case  of  the  first  of  these  studies,  the  material  investigated  (while 
marine  in  origin)  had  been  uplifted  and  was  no  longer  in  its  original  satur- 
ated condition.   The  data  of  Richards  is  too  sparse  to  establish  a  reliable 
relationship.  A  regression  analysis  was  therefore  conducted  on  the  data 
from  509  samples  (representing  all  of  the  samples  for  which  sensitivity 
values  were  available),  to  see  if  sensitivity  was  determinable  from  liquid- 
ity index.   The  regression  initially  proved  to  be  insignificant,  until  as 
suggested  !• .  Richards,  the  regression  line  was  forced  through  the  origin 
(Figure  19).   The  correlation  coefficient  then  increased  substantially, 
and  the  slope  of  the  regression  line  proved  to  be  virtually  identical  to 

the  average  of  the  lines  determined  by  Richards  (1962)  from  data  obtained  in 

2 
his  areas  E  and  F  in  the  North  Atlantic  Ocean. 

The  usefulness  of  this  relationship  lies  in  the  fact  that  if  the  origin- 
al water  content,  liquid  limit,  and  plastic  limit  of  a  sediment  sample  can 
be  measured,  equations  (3)  and  (4)  and  the  regression  line  from  Figure  (9) 
may  be  used  to  obtain  the  sensitivity.   It  is  realized  that  these  results 


Ratio  of  true  to  remolded  shear  strength. 

2 

The  majority  of  Richard's  data  used  in  this  study  were  from  areas 


E  and  F. 


52 


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53 


may  be  somewhat  oversimplified  and  that  the  true  correlation  between  the 
two  elements  might  vary  for  different  broad  depositional  regions.   If 
these  various  relations  can  be  identified  when  more  data  becomes  available, 
it  may  well  be  possible  to  collect  disturbed  samples,  measure  the  remolded 
strength,  and  thereby  obtain  values  of  the  original  shear  strength  by  multi- 
plying the  remolded  strength  by  the  sensitivity  obtained  from  a  plot  similar 
to  Figure  19. 

Shear  strengths  for  the  available  data  were  computed  in  this  manner 
and  subjected  to  a  regression  on  the  true  shear  strengths,  with  a  resulting 
correlation  coefficient  of  .725  (RSQ  =  .525).  Although  this  translates  to 
about  a  20%  increase  in  explanation  of  the  variability  of  shear  strength 
over  equation  (5) ,  it  should  be  realized  that  the  true  remolded  strength 
must  be  measured  and  therefore  the  procedure  is  not  applicable  for  use  on 
material  which  har  dried  below  its  natural  water  content.   Strangely  enough, 
when  the  results  of  equation  (8)  were  substituted  for  the  original  water 
content  in  calculating  liquidity  index,  the  computed  -  true  shear  strength 
correlation  coefficient  was  exactly  the  same  as  that  indicated  above,  and 
the  values  of  computed  shear  strength  were  identical  to  three  significant 

figures  in  most  cases.   The  95%  confidence  limits  using  this  method  were 

2 
nearly  10  gm/cm  closer  to  the  regression  line  than  those  of  Figure  16. 

b.   Liquid  Limit  -  Water  Contei.t 

Of  considerable  interest  in  this  investigation  was  the 

high  correlation  (.802)  existing  between  water  content  and  liquid  limit. 
The  constant  term  in  the  equation  for  the  regression  line  proved  to  be 

relatively  unimportant,  and  therefore  the  line  was  forced  through  the 

origin,  with  virtually  no  decrease  in  the  correlation  coefficient  (Fig- 
ure 20).   The  equation  for  this  relationship  is: 

WC  -  1.352(LL)  (10) 

54 


320 


2801- 


240h 


c 

C 

o 
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i— 

0) 

-*— 

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200,— 


120 

Liquid  Limit 

Figure   20.      Water  Content  versus   Liquid  Limit  Relationship 


55 


One  possible  explanation  for  this  correlation  is  possibly  that  fully 
saturated  marine  sediments  exist  in  a  narrow  range  of  water  contents  at 
some  fairly  constant  percentage  above  the  liquid  limit.   If  true,  this 
would  mean  that  the  water  content  is  determined  to  some  degree  by  the  same 
factors  which  act  to  control  liquid  limit,  and  vice  versa.   This  theory  is 
supported  by  the  fact  that  liquid  limit  and  water  content  have  similar 
correlation  coefficients  with  plastic  limit,  median  grain  size,  and  plasti- 
city  index  (Table  VIII).  As  may  be  noted  in  the  table,  liquid  limit  was 
completely  independent  of  depth  in  the  core,  whereas  water  content  and 
depth  are  inversely  related. 


56 


TABLE  VIII 


WATER  CONTENT  AND  LIQUID  LIMIT  CORREiATION 
COEFFICIENTS  WITH  OTHER  PARAMETERS 


PARAMETER 

WC 

LL 

PL 

D 

l/D-3 

cp 

PI 

LI 

Water 
Content 

- 

.802 

.773 

-.141 

.178 

.316 

.501 

.444 

Liquid 
Limit 

.802 

- 

.669 

.013 

.052 

.416 

.832 

-.039 

WC  -  W;?ter  Content 

LL  =  Liquid  Limit 

D  =  Depth  in  the  core 

cp  =  Median  grain  size  (cp  units) 

?I  =  Plasticity  index 

PL  -  Plastic  limit 

LI  =  Liquidity  index 


57 


V.   CONCLUSIONS  AND  RECOMMENDATIONS 

A.  CONCLUSIONS 

The  results  of  this  data  review  and  analysis  indicate  that  several 
conclusions  of  interest  can  be  drawn: 

1.  The  liquid  limit  of  marine  sediments  is  not  a  reproducible 
quantity  by  present  techniques. 

2.  Utilizing  equation  (5),  the  shear  strength  of  deep  sea  sedi- 

2 
ments  may  be  estimated  to  an  accuracy  of  +  40  gra/cm  at  the  957o  level  of 

significance.   This  equation  will  undoubtedly  be  improved  as  additional 

data  becomes  available. 

3.  Original  values  of  water  content  can  be  determined  with  a 
fairly  high  degree  of  accuracy  utilizing  equation  (8)  or  (9). 

4.  The  water  content  of  the  sedi-.' ents  investigated  was  highly 
dependent  on  the  value  of  liquid  limit. 

5.  The  liquidity  index  -  logarithm  sensitivity  relation  observed 
by  Richards  (1962)  r=nd  Bjerrum  (1954)  appears  to  be  valid. 

B.  RECOMMENDATIONS 

1.   Extensive  use  of  the  Casagrande  liquid  limit  device  indicates 
that  a  revision  of  this  test  is  necessary  for  application  to  marine  sedi- 
ments. Not  only  does  the  device  and  the  type  of  tool  used  result  in  variable 
readings,  but  *  the  dependence  on  the  operator  is  entirely  too  great  for 
useful  engineering  determinations.  ASTM  Special  Technical  Publication 
254  (I960)  contains  several  excellent  recc.  unendations  for  revision  of  this 
test. 


58 


2.  As  a  result  of  their  naturally  saturated  &£ate  and  the  physical 
changes  which  occur  upon  drying,  a   question  arises  as  to  the  validity  of 
ASTr-1  procedure  D-421-58  when  applied  to  saturated  samples  obtained  in 
oceanic  coring.  A  review  of  all  soil  tests  affected  by  procedure  D-421- 
58  (when  applied  to  marine  sediments)  is  considered  a  necessity  to  deter- 
mine the  effects  of  drying. 

3.  Serious  doubt  exists  regarding  the  reproducibility  of  plastic 
limit  and  median  grain  size  of  fine  grain  oceanic  sedimer. t:s  once  the 
material  has  dried.   Therefore,  it  is  recommended  that  further  studies 
be  made  in  this  area. 

4.  The  apparent  depen  '  nee  of  liquid  limit  on  organic  content, 
indicates  that  further  research  is  warranted  in  an  effort  to  correlate 
these  two  parameters. 


59 


APPENDIX  A 

DATA  ANALYZED 
The  majority  of  the  data  analyzed  is  included  in  this  appendix. 
Data  from  17  of  the  cores  (accounting  for  84  data  points)  was  loaned 
for  this  study,  however,  it  was  not  released  for  publication  by  the 
collecting  agency. 

The  following  abbreviations  are  used  in  the  tabulations: 

Ref.  No Reference  Number  (Tables  II,  III,  and  IV) 

SS  Shear  Strength 

gm grams 

cm centimeters 

WC  Water  Content 

LL Liquid  Limit 

PL Plastic  Limit 

MGS Median  Grain  Size 

PHI  .......    Median  grain  size  in  Wentworth  phi  units 

mm  Median  grain  size  in  millimeters 

PI Plasticity  Index 

LI Liquidity  Index 

SENS Sep  ;tivity 


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97 


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Estimation  of  the  Original  Shear  Strength  of  D<  sp  Sea  Sediments  from  Engineering 
Index  Proper  ties 


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13.  A  B  S  .  :"<  A  C  T 


Multiple  linear  regression  techniques  were  employed  in  a  statistical  analysis 
of  data  from  114  deep  sea  cores  in  order  to  derive  an  equation  for  predicting 
shear  strength  from  sediment  engineering  index  properties.   Water  content,  depth 
of  burial,  liquid  limit,  and  plastic  limit  proved  to  be  the  only  factors 
significantly  influencing  the  streng.  h  in  these  core?.   The  multiple   and  individual 
correlation  coefficients  between  these  four  parameters  and  the  logarithm  of  shear 
relation.   Additionally,  other  regression  analysis  were  conducted  to  determine  a 
wrier  content  prediction  equation  and  to  investigate  correlations  among  other 
sediment  properties.   Water  content  is  shown  to  be  highly  correlated  with  liquid 
limit.   Ancillary  to  the  above  analysis,  tests  where  conducted  to  determine  the 
degree  of  reproducibility  of  original  liquid  limit  values  from  dried  sediment 
material . 


DD  ,?„?..1473 

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key    wo  RDS 


Atterberg  limits 

Cores 

Data 

Deep  sea  cores 

Deep  sea  sediments 

Engineering  properties  of  marine  sediments 

Liquid  limit 

Marine  sediments 

Regression  analysis 

Reproducibility  of  sediment  properties 

Sediment  engineering  proper  Lies 

Sediment  cor 

Sediments 

Shear  strength 

Shear  strength  prediction 

Statist'   1  analysis 

Water  content 

Water  content  prediction 


L  I  IV  K     A 


LINK     B 


LINK     C 


\J  &■/      t    NOV   68 

S/N     01  0  1  -  R0  7-  £,  «;>  | 


1473  (DACK 


104 


UNC>  IED 


Security  Classification 


A-  3  I  409 


s 


Thesis 
H585 


^•2L''0- 


Hoag 

Estimation  of  the  o- 
riginal  shear  strength 
of  deep  sea  sediments 
from  engineering  index 
properties. 


3  DEC  71 

<  4UCT  72 

4  '  <  T  72 


2  1  8  U  0 
2  1  8  U  0 

n  o  ?  't  o 


Thesis 
H585 


Hoag 

Estimation  of  the  o- 
riginal  shear  strength 
of  deep  sea  sediments 
from  engineering  index 
properties. 


■   0 


thesH585 

Estimation  of  the  oriental  shear  strengt 


3  2768  002  06803  3 

DUDLEY  KNOX  LIBRARY