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Determination of depth to permafrost by geophysical methods
NATIONAL RESEARCH COUNCIL
CANADA
D I V I S I O N O F B U I L D I N G R E S M R C H
DETERMINATION OF DEPZH iPO PERMAFROST BY GEOPHYSICAL METHODS
by
I?,
A, ZelonkaI n t e r n a l Report No.
193
o f t h eDivision of Building Research
O T U W A A p r i l 1960
PREFACE
There i s a n u r g e n t need f o r improved technology i n d e a l i n g w i t h b u i l d i n g s and o t h e r c o n s t r u c t i o n s which, i n n o r t h e r n a r e a s of Canada, have t o be l o c a t e d on o r i n permanently f r o z e n ground. Most c o n s t r u c t i o n s l e a d t o a d i s t u r b a n c e of t h e d e l i c a t e b a l a n c e of ground t e m p e r a t u r e s o t h a t s o i l s o r i g i n a l l y f r o z e n a r e caused t o thaw, w i t h many a t t e n d a n t d i f f i c u l t i e s . While much e f f o r t i s b e i n g
put i n t o t h e a n a l y t i c a l approach t o t h e p r e d i c t i o n of changes
i n t h e thermal and m o i s t u r e regime
i n
t h e ground, it i sq u i t e c l e a r t h a t t h i s w i l l only be developed t o an a d e q u a t e l e v e l by a s u s t a i n e d e f f o r t , and i s l i k e l y t o be e l a b o r a t e f o r many e n g i n e e r i n g purposes. !There i s much t o commend a d i r e c t e m p i r i c a l approach based on f i e l d o b s e r v a t i o n s , which can provide i n t e r i m i n f o r m a t i o n of d i r e c t a p p l i c a t i o n t o s i t u a t i o n s s i m i l a r t o t h o s e i n v e s t i g a t e d , and can a l s o r e i n - f o r c e t h e a n a l y t i c a l approach.
!&ere a r e many d i f f i c u l t i e s i n o b t a i n i n g sound f i e l d i n f o r m a t i o n on ground c o n d i t i o n s i n Northern a r e a s , b o t h f o r assessment of performance as w e l l a s f o r s i t e e x p l o r a t i o n p r i o r t o c o n s t r u c t i o n . D i r e c t sampling by d r i l l i n g , d i g g i n g , o r rodding i s a d e s t r u c t i v e method and can b e c o s t l y . No r e a l l y s a t i s f a c t o r y i n s t r u m e n t a l method of d e t e r m i n i n g by n o n - d e s t r u c t i v e means whether t h e s u b s o i l i s f r o z e n o r thawed h a s y e t been developed. Great i n t e r e s t i n t h e p o s s i b i l i t i e s of g e o p h y s i c a l methods wzs s t i m u l a t e d by t h e appearance on t h e market of a s m a l l p o r t a b l e shallow r e f r a c t i o n seismograph. The s e r v i c e s o f t h e a u t h o r of t h i s r e p o r t , a g e o p h y s i c i s t ,
were o b t a i n e d f o r a summer p r o j e c t t o examine t h e p o s s i b i l i t i e s of t h i s i n s t r u m e n t i n n o r t h e r n e x p l o r a t i o n . The work a l s o
i n c l u d e d a n e v a l u a t i o n of a n e ~ r S h r e s i ~ t ~ v i t y measuring
d e v i c e which rvns '<i??ll$ 1 oaned t o t h e D i v i s i o n 5y t h e I m p e r i a l
t h e summer~s work c a r r i e d o u t a t O t t a w a , London, Norman Wells, Fort Simpson, and Inuvik i s now r e p o r t e d .
!i!he a u t h o r , a graduate i n Physics, w i t h s p e c i a l t r a i n i n g and experience i n geophysical work, a c c e p t e d a n i n t e r i m summer appointment w i t h t h e Division i n o r d e r t o c a r r y o u t t h i s study. Ottawa A p r i l 1960 *
N. B e
Hutcheon A s s i s t a n t D i r e c t o rTABLE OF CONTENTS
I. RESEXRCH PROGRAM
...
Page 1
I1
.
SEISMIC REFRACTION METHOD...
General 3
...
Absorption of Seismic Waves 4
...
Optical Ray 13neory
5
...
Seismograph 8
I11
.
SEISMIC OBSERVATIOTJSAND
DISCUSSIOIV OF RESULTS...
Previous Work 9
Laboratory Velocity Measurements
...
11Preliminary Field Trials
...
13Northern Investigations
...
16I V
.
RESISTIVITY METHOD General...
19Resfstivity Apparatus
...
20Discussion of Resistivity Results
...
21DETEG!?dINATIOB OF DEPTH TO PERMAFROST
BY GEOPHYSIZAL METHODS
Geophysical methods have l o n g been u s e d w i t h a
g r e a t d e a l o f s u c c e s s , by t h e o i l and mining i n d u s t r i e s i n e x p l o r i n g f o r m i n e r a l d e p o s i t s w i t h i n t h e e a r t h , T h i s s u c c e s s l e d t o t h e s u g g e s t i o n t h a t t h e same t e c h n i q u e s might be a p p l i e d t o s h a l l o w d e p t h e x p l o r a t i o n of e n g i n e e r i n g
i n t e r e s t . Work a l o n g t h i s l i n e h a s been hampered
i n
t h e p a s t because. of t h e expense and u n w i e l d i n e s s of t h e equipment. Recent a d v a n c e s i n i n s t r u m e n t a t i o n , however, have produced equipment designed e s p e c i a l l y f o r s h a l l o w d e p t h i n v e s t i - g a t i o n s .A r e s e a r c h program w a s t h e r e f o r e i n i t i a t e d by t h e
DBR
t o e v a l u a t e t h e f i e l d performance o f two s u c h i n s t r u - ments, a small p o r t a b l e r e f r a c t i o n seismograph and a n e a r t h r e s i s t i v i t y measuring d e v i c e , t o determine t h e a p p l i c a t i o n of t h e s e g e o p h y s i c a l methods t o t h e mapping of p e r m a f r o s t i n Northern Canada.I , RESFARCH PROGMI
The r e f r a c t i o n seismograph and r e s i s t i v i t y a p p a r a t u s were s u b j e c t e d t o a p r e l i m i n a r y t e s t i n g p e r i o d a t t h e DBR
l a b o r a t o r i e s a t O t t a w a b e f o r e b e i n g u s e d i n f i e l d s t u d i e s of p e r m a f r o s t a t Nol-man Wells, F o r t Sirnpson, and I n u v i k i n t h e Northwest T e r r i t o r i e s ,
The Ottawa phase of t h e program w a s d i v i d e d i n t o t h r e e p a r t s . F i r s t l y , p a p e r s p e r t a i n i n g t o e n g i n e e r i n g a p p l i c a t i o n s o f r e s i s t i v i t y and s e i s m i c g e o p h y s i c a l methods were reviewed t o g e t h e r w i t h l i t e r a t u r e c o n c e r n i n g A r c t i c t e r r a i n i n g e n e r a l and p e r m a f r o s t i n p a r t i c u l a r . Secondly, t h e i n s t r u m e n t s were f i e l d t e s t e d i n t h e O t t a w a a r e a t o g a i n f a m i l i a r i t y w i t h t h e i r u s e and a l s o t o a s s e s s t h e i r v a l u e
and l i m i t a t i o n s . T h i r d l y , " s o n i s c o p e " l a b o r a t o r y t e s t s on e l a s t i c wave v e l o c i t i e s i n f r o z e n and thawed m a t e r i a l s were conducted. These t e s t s were made i n a n a t t e m p t t o answer some q u e s t i o n s r e s u l t i n g from t h e proposed a p p l i c a - t i o n of r e f r a c t i o n seismology t o p e r m a f r o s t .
F i e l d i n s t r u m e n t t e s t s were conducted p r i m a r i l y a t t h e i n t e r c e p t o r and o u t f a l l sewer s i t e i n E a s t Ot-tawa.
This a r e a was chosen s i n c e a mapped p r o f i l e w a s a v a i l a b l e from d r i l l b o r i n g s . I n a d d i t i o n v e l o c i t y measurements were made a t a number of l o c a t i o n s t o e s t a b l i s h a b a s i s of
i d e n t i f i c a t i o n of v e l o c i t i e s w i t h roclr t y p e s , An e a r t h s l i d e w a s a l s o i n v e s t i g a t e d by means o f t h e seismograph t o d e t e r m i n e d e p t h t o bedrock. Some work was a l s o done a t London, O n t a r i o ,
Following t h e Ottawa phase of t h e program, r e s e a r c h a c t i v i t i e s were t r a n s f e r r e d t o Norman Wells. Most of t h e t i m e w a s s p e n t i n c o n d u c t i n g t e s t s a t t h e N o n a n Wells
a i r p o r t . 'This p a r t i c u l a r s i t e w a s i d e a l from t h e v i e w p o i n t of u n i f o m i t y s i n c e s u r f a c e e f f e c t s were n e g l i g i b l e ; it w a s e q u a l l y exposed t o t h e sun and was w e l l d r a i n e d . Other s t u d i e s were made o v e r wooded and moss-covered ground, Surveys were a l s o made n e a r b u i l d i n g s w i t h t h e i n t e n t of n o t i n g t h e e f f e c t of h e a t i n g on t h e p e r m a f r o s t l e v e l . F i n a l l y , t h e e f f e c t was i n v e s t i g a t e d of i r r e g u l a r i t y of
t h e p e r m a f r o s t t a b l e on s e i s m i c a r r i v a l t i m e s a c r o s s a boun- d a r y d i v i d i n g o r g a n i c - c o v e r e d s o i l and exposed m i n e r a l s o i l .
A f t e r c o m p l e t i o n of t h e i n i t i a l n o r t h e r n s t u d i e s a t Norman Viells, work w a s begun a t F o r t Simpson. It was
a n t i c i p a t e d t h a t t h e p e n l a f r o s t t a b l e t h e r e would be much more i r r e g u l a r than a t Nomian Wells due t o t h e more s o u t h e r l y l a t i t u d e of F o r t Simpson and t h e p e r i o d i c s t r i p p i n g of
f o r e s t growth which h a d t a k e n p l a c e o v e r t h e pas$ 1 0 0 y e a r s , Die s e i s m i c a n d r e s i s t i v i t y s t u d i e s a t F o r t Simpsoil were conducted c o n c u r r e n t l y w i t h a d r i l l i n g program b e i n g c a r r i e d o u t i n t h a t a r e a by
DBR p e r s o n n e l .
m e f i n a l a r e a s t u d i e d was I n t h e v i c i n i t y of I n u v i k . S e i s m i c i n v e s t i g a t i o n s were conducted o v e r s e l e c t e d g r a v e l d e p o s i t s , c e r t a i n l o o s e g r a v e l p a d s , a slumping embankment n e a r t h e wharf, a n d t h e a i r p o r t runway. lChe r e s i s t i v i t y a p p a r a t u s was n o t u s e d i n t h e I n u v i k s t u d i e s . '
11. SEISIJlIC REPRACTIOIT
METHOD
GeneralThe p h y s i c a l t h e o r y u n d e r l y i n g s e i s m i c wave propaga- t i o n i s p r i m a r i l y a n e l a s t i c i t y problem. A f o r c e a p p l i e d t o t h e s h r f a c e of a n e l a s t i c body c a u s e s d e f o r m a t i o n of t h e body i n p r o p o r t i o n t o t h e a p p l i e d f o r c e . Assuming t h e f o r c e i s a p p l i e d b r i e f l y ( a n i m p u l s e ) , p o t e n t i a l energy i s i m p a r t e d t o t h e p a r t i c l e s i n v o l v e d i n t h e deformation. If t h e medium i s f r i c t i o n l e s s and p e r f e c t l y e l a s t i c , t h e s e p a r t i c l e s , i n t h e a b s e n c e of e x t e r n a l f o r c e s , o s c i l l a t e w i t h s i m p l e h a r - monic motion. S u b s e q u e n t l y , a d j a c e n t p a r t i c l e s o s c i l l a t e because o f t h e d i s t u r b i n g e f f e c t of t h e i n i t i a l p a r t i c l e s . m e r e s u l t i s t h e p r o p a g a t i o n of
an
e l a s t i c wave t h r o u g h t h e medium. The complete mathematical d e r i v a t i o n of t h e e l a s t i c e q u a t i o n s of motion i s e a s i l y o b t a i n e d from w e l l - known t e x t s ( 1 , 2 , 3 ) s o t h e method o f development w i l l n o t be g i v e n h e r e . For a homogeneous, i s o t r o p i c , p e r f e c t l y e l a s t i c , s e m i - i n f i n i t e body i n which t h e r e s t o r i n g f o r c e on t h e composite p a r t i c l e s i s p r o p o r t i o n a l t o t h e i r d i s p l a c e m e n t t h e l o n g i t u d i n a l o rP
wave i s governed by t h e e q u a t i o n : whereA =
d i l a t i o n o r i n c r e a s e i n volume p e r u n i t volume K=
b u l k modulus A= r i g i d i t y ' = d e n s i t y v2 = L a p l a c i a n o p e r a t o rThose who a r e f a m i l i a r w i t h t h e g e n e r a l mathematical wave e q u a t i o n w i l l r e a d i l y i d e n t i f y t h e wave v e l o c i t y a s :
The wave e q u a t i o n f o r I! wave p r o p a g a t i o n i s o b t a i n e d
by a s s i g n i n g c e r t a i n boundary c o n d i t i o n s on p a r t i c l e motion.
By s p e c i f y i n g v a r i o u s boundary c o n d i t i o n s o t h e r wave t y p e s and e x p r e s s i o n s f o r v e l o c i t y a r e o b t a i n e d . Employing r o t a - t i o n a l components o f s t r e s s , t h e wave e q u a t i o n f o r t h e s h e a r o r S wave i s d e r i v e d . The v e l o c i t y of t h i s wave
i s g i v e n by:
I
-
It i s n o t e d t h a t A = 0 f o r f l u i d s s o t h a t S waves c a n n o t be propagated i n them. It a l s o f o l l o w s t h a t t h e P wave v e l o c i t y i n a s o l i d i s g r e a t e r t h a n t h e S wave v e l o c i t y .
A t h i r d wave t y p e of some importance i s t h e Rayleigh wave. It i s d e r i v e d by s p e c i f y i n g t h a t p a r t i c l e motion i s
c o n f i n e d t o t h e f r e e s u r f a c e of a s e m i - i n f i n i t e s o l i d . lZle p a r t i c l e motion i s t h a t o f a r e t r o g r a d e e l l i p s e w i t h t h e v e r t i c a l displacement a t t h e s u r f a c e e q u a l t o a p p r o x i m a t e l y
1& t i m e s t h e h o r i z o n t a l d i s p l a c e m e n t . The v e l o c i t y of t h e Rayleigh wave i s a b o u t 0.9 t h a t of t h e S wave
i n t h e same
medium ( 3 , p.31-33).Absorption of Seismic Waves
I n p r a c t i c e t h e e a r t h imposes l i m i t a t i o n s on t h e s e i n i t i a l assumptions. m e e a r t h i s n o t p e r f e c t l y e l a s t i c ; it i s n o t homogeneous; it i s n o t i s o t r o p i c ; t h e r e i s con- s i d e r a b l e l a y e r i n g o f m a t e r i a l s w i t h d i f f e r e n t e l a s t i c p r o p e r t i e s and a l s o changes of e l a s t i c p r o p e r t i e s w i t h i n t h e same m a t e r i a l . An i m p o r t a n t f a c t o r i n s e i s m i c wave p r o p a g a t i o n i s t h e a t t e n u a t i o n of energy r e s u l t i n g from f r i c t i o n a l l o s s e s
spreading out of the wavefront. The geometric spreading
obeys the inverse square law and the absorption of energy
due to frictional losses may
bewritten as a decaying
exponential. Since the amplitude is proportional to the
square root of the energy, the expression for the seismic
wave amplitude at
anydistance from the source may be written
( 4 ) :
where
A
= amplitude at distance r
= amplitude at distance r =
0a
=
attenuation coefficient
r
= distance from source
The seismic wave amplitude decreases with distanoe
and at some point the ambient noise level and sensitivity
of the seismograph determine a limit on the source-detector
separation.
Optical
RayTheory
The application of boundary conditions to the elastic
wave equations in terms of particle displacements, stresses,
and strains can become exceedingly difficult. Therefore,
in dealing with problems of transmission, reflection,
andrefraction it is usual to treat elastic waves analogously
to electromagnetic waves and use optical ray theory to des-
cribe these phenomena.
Dieessential features of this
theory are outlined in Pig. 1.
In the ssismic refraction method, rays are drawn in
the direction of wave propagation perpendicular to the
wavefront (Fig.
2).If the distance between detector and source is
varied the travel times of the wave may be measured and
then plotted to give a time-distance graph,
Fig.3.
Knowing t h e t i m e , t h e v e l o c i t i e s , and d i a t a n o e i t i s o n l y a m a t t e r o f geometry t o o b t a i n t h e d e p t h t o t h e v2 l a y e r whicli i s g i v e n by:
I n m u l t i l a y e r problems, v e l o c i t i e s , a d d i t i o n a l t o and v2, a p p e a r and t h e d e p t h s t o and t h i c i m e s s of t h e s e l a y e r s may be c a l c u l a t e d by e x t e n d i n g t h e procedure f o r t h e t w o - l a y e r c a s e . For example i n t h e t h r e e - l a y e r problem t h e t h i c k n e s s of t h e middle l a y e r i s g i v e n by: where h 2
=
t h i c k n e s s of v2 l a y e r hl=
t h i c k n e s s of vl l a y e r t i 2=
v2 i n t e r c e p t time ( F i g .3 ) .
lhis e x p r e s s i o n a p p l i e s o n l y when vlc.
v 2 4 v3'
If v2 i s l e s s t h a n vl, and v3
i s g r e a t e r t h a n vl, t h e n a c c o r d i n g t o F e r m a t r s p r i n c i p l e t h e i n t e r m e d i a t e l a y e r w i l l n o t be observed and t h e t i m e - d i s t a n c e c u r v e w i l l i n d i c a t e an a p p a r e n t t w o - l a y e r c a s e . Sometimes t h e r e f r a c t i n g l a y e r s do n o t l i e h o r i z o n t a l l y ( P i g . 4 ) . T h i s s i t u a t i o n t e n d s t o produce a n a p p a r e n t v e l o c i t y vZU t h a t i s g r e a t e r t h a n t h e a c t u a l v e l o c i t y when t h e s o u r c e i s moved "up d i p f t from t h e f i x e d d e t e c t o rand a s m a l l e r a p p a r e n t v e l o c i t y vPd, when i t i s moved
" b o r n dip". The d i p a n g l e i s g i v e n by:
-1 -1 v1\
It may be shoru~i t h a t t h e a c t u a l v e l o c i t y o f t h e second l a y e r i s : It a l s o f o l l o w s t h a t V1 Tid C O S M
-
h d-
2 c o s ic v T c o s d 1i u
\
= 2 c o s ic where I n e n g i n e e r i n g a p p l i c a t i o n s it i s p o s s i b l e t o e n c o u n t e r a fill of low v e l o c i t y m a t e r i a l such a s g r a v e l o r sand a d j a c e n t t o a n a r e a o f compacted s i l t s o r c l a y s of h i g h e r v e l o c i t y . T h i s c o n d i t i o n y i e l d s a v e r t i c a l v e l o c i t y d i s c o n t i n u i t y . The t y p i c a l t i m e - d i s t a n c e p l o t f o r t h i s c a s e is s h o r n i n Pig.5.
V e l o c i t y d i s c o n t i n u i t i e s on a s m a l l s c a l e o f t e n o c c u r n e a r t h e s u r f a c e and c o n t r i b u t e t o t h e s c a t t e r o f a r r i v a l time p l o t s on t h e t i m e - d i s t a n c e curve. Theo p e r a t o r c a n soon r e l a t e t h e s e small t i m e d i f f e r e n c e s t o t h e p e c u l i a r i t i e s o f t h e t e r r a i n . Sometimes t h e o v e r l y i n g t e r r a i n c a u s e s s u c h l a r g e t i m e d i s c r e p a n c i e s t h a t a r e l i a b l e s u b s u r f a c e p i c t u r e c a n n o t be o b t a i n e d . Numerous o t h e r s p e c i a l c a s e s t h a t i n f l u e n c e t h e t i m e - d i s t a n c e c u r v e g r e a t l y , such a s f a u l t s and e s c a r p m e n t s , may be c i t e d b u t it i s n o t t h e purpose of t h i s r e p o r t t o d w e l l upon s p e c i a l c a s e s b u t r a t h e r o n l y t o g i v e t h e r e a d e r
an i d e a o f some o f t h e problems t h a t may be encountered. For d e t a i l e d t r e a t m e n t t h e r e a d e r i s r e f e r r e d t o H e i l a n d r s work
( 5 ) .
Although a p p l i c a t i o n o f o p t i c a l ray t h e o r y t o s e i s m i c wave p r o p a g a t i o n h a s prod-uced many u s e f u l r e s u l t s i t s h o u l d be p o i n t e d o u t t h a t it f a i l s t o e x p l a i n t h e complex e l a s t i c p r o c e s s i n v o l v e d a t a boundary between two media. For
example a wave of one t y p e may be p a r t i a l l y t r a n s f o r m e d i n t o a wave of a n o t h e r t y p e . T h e r e f o r e t h e o p t i c a l r a y method of t r e a t m e n t i s o n l y a n a p p r o x i m a t i o n with c e r t a i n l i m i t a t i o n s which w i l l be s e e n l a t e r . Seismograph The r e f r a c t i o n seismograph u s e d i s e s s e n t i a l l y a t i m e measuring d e v i c e w i t h no means of o b s e r v i n g t h e vraveform of t h e d e t e c t e d energy. A s l e d g e hammer s t r u c k
on a p l a t e on t h e ground s e r v e s a s t h e s e i s m i c wave s o u r c e
and a moving c o i l t y p e t r a n s d u c e r (geophone) s e r v e s as t h e energy d e t e c t o r . The e s s e n t i a l components a r e shown i n Fig. 6. An i m p o r t a n t f e a t u r e of t h i s i n s t r u m e n t i s i t s l i g h t w e i g h t (16 l b ) making it r e a d i l y p o r t a b l e . T h i s h a s been accomplished by i n c o r p o r a t i n g t r a n s i s t o r s a n d c r y s t a l d i o d e s i n i t s c i r c u i t r y i n s t e a d of vacuum t u b e s . The c i r c u i t e l e m e n t s of t h e seismograph a r e s h o r n i n b l o c k diagram form i n Pig.
7.
O p e r a t i o n i s such t h a t a4000-cps c r y s t a l - c o n t r o l l e d o s c i l l a t o r f e e d s i t s o u t p u t
i n t o a group of 1 0 b i n a r y c o u n t e r s whose i n p u t i s c o n t r o l l e d by t h e s w i t c h i n g of t h e g a t e c i r c u i t . The first b i n a r y
c o u n t s e v e r y o s c i l l a t o r c y c l e ; t h e second one c o u n t s e v e r y trio c y c l e s ; t h e t h i r d c o u n t s every f o u r c y c l e s and s o on.
I 1
m e t i m e s a s s o c i a t e d w i t h t h e s e a r e g , 2, 1, 2 m i l l i s e c o n d s , up t o 128 m i l l i s e c o n d s .
'Phe g a t e i s a n a m p l i f i e r which, when o p e r a t i n g a t s u f f i c i e n t l y h i g h g a i n , a l l o w s t h e o s c i l l a t o r o u t p u t t o
be f e d i n t o t h e b i n a r i e s . T h e g a i n of t h e a m p l i f i e r i s
governed by t h e g a t e c o n t r ~ l . The g a t e c o n t r o l i s a b i s t a b l e m u l t i v i b r a t o r t h a t e i t h e r a p p l i e s a b i a s t o t h e g a t e o r
During o p e r a t i o n , when t h e hammer i s s t r u c k on t h e ground it t r i g g e r s t h e g a t e c o n t r o l t o i n c r e a s e t h e g a i n of t h e g a t e a m p l i f i e r which a l l o w s t h e b i n a r i e s t o b e g i n c o u n t i n g , ?The s e i s m i c wave g e n e r a t e d by t h e hammer blow t r a v e l s t h r o u g h t h e ground, i s d e t e c t e d by t h e geophone and a m p l i f i e d . The a m p l i f i e d o u t p u t i s f e d i n t o t h e g a t e c o n t r o l where it a g a i n t r i g g e r s t h e c o n t r o l ; t h i s t i m e i t p r o v i d e s a h i g h g a t e b i a s t o s t o p t h e c o u n t i n g . !The t i m e between impact and d e t e c t i o n
i s r e a d d i r e c t l y from neon i n d i c a t o r l i g h t s i n t h e b i n a r y
c i r c u i t .111. SEIShIIC OBSERVATIONS AI(ID DISCUSSIOIT OF RESULTS P r e v i o u s mork
Most o f t h e s e i s m i c e x p l o r a t i o n c a r r i e d o u t i n perma- f r o s t a r e a s h a s been i n c o n n e c t i o n w i t h t h e s e a r c h f o r o i l . The e f f e c t o f p e r m a f r o s t on t h e r e f r a c t i o n method h a s been i n c i d e n t a l t o t h e main problem. Then t o o , t h e u s e of t h e seismograph a s a n e n g i n e e r i n g t o o l f o r shallom g e o l o g i c a l i n v e s t i g a t i o n s h a s o n l y been o u r s o r i l y e x p l o r e d , A s a r e s u l t , l i t e r a t u r e on t h e a p p l i c a t i o n of s e i s m i c t e c h n i q u e s t o t h e mapping of p e r m a f r o s t regime i s v i r t u a l l y n o n e x i s t e n t . P a r t of t h e r e a s o n i n f a i l i n g t o i n v e s t i g a t e t h e e n g i n e e r i n g a s p e c t may be a t t r i b u t e d t o t h e l i m i t a t i o n s of t h e i n s t x ~ l m e n t s . I n t h e p a s t , seismographs have been b u l k y and d i f f i c u l t t o t r a n s p o r t . With r e c e n t advances i n e l e c - t r o n i c t e c h n o l o g y , s i m p l e , l i g h t , r e a d i l y p o r t a b l e machines have b e e n developed, This f e a t u r e , t o g e t h e r w i t h i n c r e a s e d
s e n s i t i v i t y , a l l o w i n g t h e u s e of a hammer blow i n s t e a d o f a n e x p l o s i v e c h a r g e a s a s e i s m i c wave s o u r c e , h a s g i v e n m e r i t t o t h e c o n s i d e r a t i o n of t h e r e f r a c t i o n seismograph a s an e n g i n e e r i n g t o o l .
A primary s t e p i n a p p l y i n g t h i s method was t o accumu- l a t e v e l o c i t y d a t a f o r t h e n e a r s u r f a c e l a y e r s i n o r d e r t o i d e n t i f y r e f r a c t o r v e l o c i t i e s w i t h e a r t h l a y e r s . Table I
g i v e s v e l o c i t i e s of e a r t h m a t e r i a l s o f some e n g i n e e r i n g i n t e r e s t .
TABLE I
VELOCITIES OF SOME EARm MATERIALS
It i s r e a d i l y s e e n t h a t e a r t h m a t e r i a l s a r e c h a r a c - M a t e r i a l Weathered s u r f a c e l a y e r Sands and g r a v e l Alluvium Clay S h a l e Sandstone Lime s t o n e G r a n i t e a n d i g n e o u s r o c k s Water I c e t e r i z e d by c e r t a i n . v e l o c i t y d i s t r i b u t i o n s . It i s a l s o s e e n L o n g i t u d i n a l Wave V e l o c i t y ( f t / s e c ) 500
-
1500 1100-
3200 1640-
6600 3200-
9200 7500-
1 5 , 4 0 0 4600-
1 4 , 1 0 0 1 3 , 5 0 0-
20,000 1 3 , 1 0 0-
20,400 4900 1 2 , 6 0 0 * t h a t t h e s e d i s t r i b u t i o n s a r e , i n g e n e r a l , q u i t e wide. mow- l e d g e i s t h e r e f o r e r e q u i r e d of t h e v e l o c i t y c h a r a c t e r i s t i c s o f a p a r t i c u l a r a r e a t o o b t a i n optimum r e s u l t s from t h e method. A q u e s t i o n o f fundamental i n t e r e s t r e g a r d i n g t h e a p p l i c a b i l i t y o f t h e s e i s m i c r e f r a c t i o n method t o t h e d e t e c - t i o n o f p e r m a f r o s t w a s t h a t of t h e v e l o c i t y c o n t r a s t between f r o z e n and u n f r o z e n m a t e r i a l . Some g e n e r a l l i m i t s onv e l o c i t i e s i n p e r m a f r o s t a r e a s have been compiled by J o e s t i n g ( 6 ) , Table 11.
TABLE I1
LONGITUDIlJAL WAVE VELOCITIES I N PE;RIfiFROST AREAS ( a f t e r J o e s t i n g )
L a b o r a t o r y V e l o c i t y Measurements
I n view of t h e wide l i m i t s on t h e v e l o c i t i e s of some of t h e m a t e r i a l s it was d e c i d e d t o conduct l a b o r a t o r y measure- ments of s e i s m i c wave v e l o c i t i e s t h r o u g h f r o z e n and thawed m a t e r i a l s u n d e r c o n d i t i o n s of v a r y i n g com,paction, m o i s t u r e c o n t e n t , a n d t e m p e r a t u r e . The r e s u l t s a r e g i v e n i n Table 111. M a t e r i a l L i g h t mack Thawed muck Frozen muck lhawed g r a v e l Frozen g r a v e l Bedrock ( s c h i s t ) L TABLE 111
EFFECT
OF FREEZING OK LONGITUDINAL ViAVE VELOCITIES L o n g i t u d i n a l Wave V e l o c i t y ( f t / s e c ) 1000-
1650 1800-
4000 4250-
1 0 , 0 0 0 2000-
1 0 , 0 0 0 1 3 , 0 0 0-
1 5 , 2 5 0 7500-
20,000 X a t e r i a l S i l t - s a n d - o r g a n i c mLxture l o o s e and d r y s l u r r y Conpacted c l a y Longi- t u d i n a l wave v e l o c i t y a t 70°F ( f t / s e c ) 3000 4000 4000-
4400 Longi- t u d i n a l wave v e l o c i t y a t -5OF ( f t / s e c ) P(,. 3800 1 3 , 2 0 0 8700-
9700-
Longi-
t u d i n a l wave v e l o c i t y a f t e r 50 m i n u t e s o f thawing 3800 11, GOO 7600It may be s e e n t h a t t h e m o i s t u r e c o n t e n t of t h e m a t e r i a l h a s a marked e f f e c t on t h e s e i s m i c mave v e l o c i t i e s of f r o z e n m a t e r i a l . Although c o n t r o l of t h e t e m p e r a t u r e was n o t maintained d u r i n g t h e course of f r e e z i n g , it was observed t h a t t h e wave v e l o c i t y decreased when t h e f r o z e n samples were s u b j e c t e d t o thawing t e m p e r a t u r e s . I t i s n o t p o s s i b l e t o s t a t e c o n c l u s i v e l y whether t h i s was due t o change of t h e e l a s t i c p r o p e r t i e s w i t h temperature of t h e f r o z e n m a t e r i a l o r due t o thawing of t h e sample a l o n g i t s p e r i p h e r y . During t h e 50-ninute thawing p e r i o d o n l y a l i t t l e of t h e o u t e r
m a t e r i a l melted s o i t a p p e a r s l i k e l y t h a t t h e temperature increas; of t h e sample had a n e f f e c t i n reducing t h e e l a s t i c mave v e l o c i t y through it.
An e x p l a n a t i o n of t h e dependence of t h e s e i s m i c wave
v e l o c i t i e s on temperature can be deduced based upon t h e experimental work of Demenitskaia and Tsytovich (7,8),
F i r s t it i s n o t e d t h a t t h e P wave v e l o c i t y i s given
where K = bulk modulus
A = r i g i d i t y modulus
(3 = d e n s i t y
Since permafrost m a t e r i a l s f r e q u e n t l y have a h i g h w a t e r c o n t e n t , t h e t r a n s m i s s i o n of a l o n g i t u d i n a l wave through them i s a f u n c t i o n of t h e e l a s t i c p r o p e r t i e s of b o t h t h e s o i l g r a i n s and t h e i n t e r s t i t i a l w a t e r . An unfrozen s o i l of h i g h w a t e r c o n t e n t w i l l behave e s s e n t i a l l y a s a l i q u i d . I t w i l l e x h i b i t no s h e a r s t r e n g t h ( A = 0 ) and t h e v e l o c i t y i s simply,
I'fiicr, t h e same m a t e r i a l i s f r o z e n / assumes a f i n i t e v a l u e , t h e d e n s i t y d e c r e a s e s by a small amount and t h e
v e l o c i t y i s i n c r e a s e d . Hov~ever, a l l t h e w a t e r does n o t f r e e z e at once and hence t h e r e i s a dependence of A on temperature ( 9 ) . Dernenitskaia o b t a i n s an a c t u a l e x p r e s s i o n f o r t h e r e l a t i o n of Young's modulus t o temperature under f r e e z i n g .
P r e l i m i n a r y F i e l d T r i a l s
The seismograph was found r e l a t i v e l y simple t o
o p e r a t e . A gain c o n t r o l on t h e i n s t r u m e n t allowed t h e o b s e r v e r
t o a d j u s t t h e s e n s i t i v i t y of t h e d e t e c t o r a m p l i f i e r c i r c u i t t o compensate f o r reduced s i g n a l s t r e n g t h a s t h e source- d e t e c t o r d i s t a n c e was i n c r e a s e d . Ground and d e t e c t o r motion due t o moving v e h i c l e s , a i r p l a n e s , machinery, and wind
p l a c e d a l i m i t on t h e maximum g a i n l e v e l t h a t could be used i n any a r e a a t any time. This, of course, had a d i r e c t i n f l u e n c e on t h e depth range of t h e method.
Becaude of i t s c o n s t r u c t i o n t h e geophone was respon- s i v e t o t h e v e l o c i t y of t h e ground motion. Ground motion v e l o c i t y f o r t h e d e s i r e d f i r s t a r r i v a l i s u s u a l l y of t h e
waveform shobwl i n F i g . 8 and t h e i n p u t v o l t a g e t o t h e d e t e c t o r a m p l i f i e r i s , t h e r e f o r e , of t h e same form.
If t h e a n p l i t u d e of t h e i n i t i a l v o l t a g e p u l s e i s i n s u f f i c i e n t t o t r i g g e r t h e g a t e c o n t r o l b u t t h e amplitude of t h e succeeding p u l s e i s s u f f i c i e n t t h e n t h e b i n a r i e s w i l l i n d i c a t e a time l a g . A s l o n g as t h e o p e r a t o r i s aware t h a t
t h i s s i t u a t i o n i s occurring t h e n he can compensate f o r t h e e f f e c t during i n t e r p r e t a t i o n of t h e r e s u l t s . I n t h e f i e l d t r i a l s t i m e - l e g i n t e r v a l i n g e n e r a l remained n e a r l y c o n s t a n t ; v a r i a t i o n s t h a t did occur were probably due t o s e l e c t i v e
Sometimes t h e f i r s t a r r i v a l p u l s e was n o t observed a t a l l and lower v e l o c i t y waves, probably Rayleigh waves,
were n o t i c e d . These of course were u s e l e s s t o t h e a p p l i c a t i o n of t h e s e i s m i c method and were t h e r e f o r e d i s c a r d e d . T h e i r presence was u s u a l l y i n d i c a t e d by abnormally low v e l o c i t i e s on t h e t i m e - d i s t a n c e graph a t l a r g e s o u r c e - d e t e c t o r d i s t a n c e s .
I n t h e a c t u a l s e i s m i c f i e l d t e s t s , c o n d i t i o n s v a r i e d from good t o poor and a n example of a s e i s m i c survey conducted under optimum c o n d i t i o n s w i l l be d i s c u s s e d f i r s t . This survey
was c a r r i e d o u t on t h e campus of t h e U n i v e r s i t y of Western Ontario i n London.
The v e l o c i t i e s of t h e d i f f e r e n t e a r t h l a y e r s a r e shown by t h e s l o p e s of t h e t i m e - d i s t a n c e graph ( P i g . 9).
Reduction of t h e observed r e c o r d s y i e l d e d t h e s e i s m i c s e c t i o n shomm
i n Fig. 10.
Since a d r i l l c o r e was o b t a i n e d o n l y f o r t h e f i r s t 4 f e e tit was n o t p o s s i b l e t o i d e n t i f y any of t h e
e a r t h l a y e r s a s s o c i a t e d w i t h t h e observed v e l o c i t i e s , except f o r t h e first two v e l o c i t i e s . These were i d e n t i f i e d a s :S i l t - s a n d - o r g a n i c mixture
-
1200 f t p e r s e c Brown c l a y-
3600 f t p e r sec.The d i f f e r e n c e of 8 i n . between t h e d r i l l c o r e and s e i s m i c l o g i s n o t of any p a r t i c u l a r s i g n i f i c a n c e because t h e topographic v a r i a t i o n s were even more t h a n t h i s and t h e
depth c a l c u l a t i o n s were c a r r i e d o u t only t o t h e n e a r e s t f o o t . I t i s n o t e d , however, t h a t t h e c a l c u l a t e d r e f r a c t o r i s deeper t h a n t h e brown c l a y - g r a v e l i n t e r f a c e .
The r e s u l t s of t h e work a t a sewer s i t e e a s t of Ottawa
d i d n o t produce r e s u l t s a s w e l l d e f i n e d a s t h e example j u s t mentioned. The s u r f a c e t e r r a i n was much more i r r e g u l a r , t h e
s e i s m i c energy was r a p i d l y a t t e n u a t e d , and t h e a r e a w a s n o i s y . I n a s e c t i o n of h e a v i l y v e g e t a t e d , peat-covered ground, it
w a s n e c e s s a r y t o remove t h e o r g a n i c cover s o t h a t t h e p l a t e could make c o n t a c t w i t h t h e mineralm s o i l and t h u s produce s e i s m i c waves of s u f f i c i e n t l y h i g h i n t e n s i t y .
I n g e n e r a l t h r e e d i f f e r e n t v e l o c i t i e s were observed i n t h i s area:
Tne t h i c k n e s s of vl was i n t h e o r d e r of 4 t o 6 f t . !&is l a y e r mas thought t o r e p r e s e n t t h e a e r a t e d weathered zone. The
t h i c k n e s s of v v a r i e d between 50 and 70 f t and i t i s reason-
2
a b l e t o assume t h a t t h i s v e l o c i t y r e p r e s e n t e d t h s s t i f f c l a y l a y e r s o v e r l y i n g g l a c i a l till. I n some i n s t a n c e s d i f f e r e n t
v3 v e l o c i t i e s were o b t a i n e d i n r e v e r s e s h o t s t h a t could n o t ,
be r e c o n c i l e d on t h e b a s i s of d i p p i n g beds. These were a t t r i - buted t o d i f f e r e n t v r e f r a c t o r s . I n most c a s e s bedrock w a s
3
n o t i n d i c a t e d on t h e t r a v e l - t i m e curve probably because t h e s o u r c e - d e t e c t o r s e p a r a t i o n was l i m i t e d by t h e source energy. I n o n l y one c a s e was bedrock evidenced (Pig, 11). I n t h i s c a s e , t h e i n s t r u m e n t was l a i d o u t over a road of compacted g r a v e l and t h e 18,000 f t / s e c . v e l o c i t y corresponds w i t h t h e expected v e l o c i t y of t h e limestone bedrock. The c a l c u l a t e d depth of 90 f t compares w i t h a d r i l l l o g depth of 88 f t .
Velocity measuremento were a l s o made i n two a r e a s of exposed r o c k s and i t was expected t o o b t a i n a c o n s t a n t
v e l o c i t y c h a r a c t e r i s t i c of t h e rock. Observations i n d i c a t e d , however, t h a t t h e r e were a c t u a l l y two v e l o c i t y l a y e r s a s
shown i n Table I V .
OUTCROP SHALE VELOCITIES
1~4aterial S h a l e , S t . l j u r e n t Blvd. Snale, Hogsback v1 4200 f t / s e c 4000 f t / s e c v 2 13,800 f t / s e c 11,500 f t / s e c
F r a c t u r i n g and e r o s i o n probaSly caused t h e lower v e l o c i t y i n both c a s e s ,
Rn
a r e a of some i n t e r e s t was t h e Green Creek l a n d s l i d e . This f e a t u r e has been under a c t i v e i n v e s t i g a t i o n by t h eD i v i s i o n and a s e i s m i c survey was c a r r i e d o u t o v e r a p o r t i o n of t h e a r e a i n an a t t e m p t t o determine depth t o bedrock, Bedrock was n o t d e t e c t e d during t h e t e s t s b u t t h e s e i s m i c r e c o r d s make it p o s s i b l e t o s a y t h a t bedrock i s g r e a t e r t h a n
95
f ti n
depth.Such knomledge i s u s e f u l f o r c e r t a i n e n g i n e e r i n g purposes such a s e s t i m a t i n g t h e c o s t of e x c a v a t i o n s , sewer and u t i l i t y d i t c h e s when i t i s a c t u a l l y n o t n e c e s s a r y t o knori t h e depth t o rocl: b u t o n l y whether rock o c c u r s w i t h i n a l i m i t e d depth benea-tin t h e s u r f a c e .
Nonn~n Wells.- The work a t t h e Norman Wells a i r s t r i p i n d i c a t e d
a permafrost v e l o c i t y i n t h e o r d e r of 9000 f t / s e c . !This con- t r a s t e d w i t h a s u r f a c e l a y e r v e l o c i t y of 1200 f t / s e c . !The a i r p o r t p r o f i l e sl~o~ved a r e f r a c t o r t h a t w a s i n g e n e r a l some
3 f t deeper t h a n t h e t o p of t h e f r o s t l e v e l a s shown by a u g e r b o r i n g s , The seisinic d e p t h s were c o n s i s t e n t w i t h i n t h e m s e l v e s , however, n o t v a r y i n g more t h a n 0.5 f t .
One e x p l a n a t i o n f o r t h i s discrepancy may be t h e i n a b i l i t y of o p t i c a l r a y t h e o r y t o r e p r e s e n t a c c u r a t e l y e l a s t i c wave propagation between media of two d i f f e r e n t v e l o c i t i e s , p a r t i c u l a r l y mhere t h e r e f r a c t i n g l a y e r s a r e s m a l l conpared t o t h e wavelength of t h e s e i s m i c waves (11). A second c o n s i d e r a t i o n may be t h e e f f e c t on wave v e l o c i t y of v a r i a b l e i c e l e n s i n g
i n t h e permafrost zo3e.
This may pro- duce a c o n d i t i o n s i m i l a r t o v e l o c i t y a n i s o t r o p y i n r o c k s which h a s been d i s c u s s e d by Uhrig and Van Nelle ( 1 2 ) 1955 and by Postma (13) 1955. A t h i r d p o s s i b i l i t y i s t h e presence of av e l o c i t y t r a n s i t i o n . zone i n t h e u p p e r l a y e r o f p e r m a f r o s t r e s u l t i n g from a g r a d u a l change i n t h e p h y s i c a l p r o p e r t i e s of t h e s o i l from a thawed t o a f r o z e n condition.. If t h e t r a n s i t i o n zone i s s u c h t h a t i t does n o t r e f r a c t a d e q u a t e energy t o t h e s e i s m i c d e t e c t o r , t h e n i t s p r e s e n c e w i l l n o t b e i n d i c a t e d by t h e t i m e - d i s t a n c e c u r v e and t h e wave w i l l b e r e f r a c t e d a t some d e e p e r d e p t h w i t h i n t h e p e r m a f r o s t .
The d i s c r e p a n c y i n t h e boundary between p e r m a f r o s t a n d thawed ground, however, does n o t r e n d e r t h e method
u s e l e s s . An a d j u s t m e n t can b e made on an e m p i r i c a l b a s i s t o r e c o n c i l e t h e s e i s m i c r e f r a c t o r w i t h t h e p e r m a f r o s t t a b l e .
A few a u g e r b o r i n g s o r d r i l l h o l e s p l a c e d a t a p p r o p r i a t e l o c a t i o n s c o u l d p r o v i d e s u i t a b l e c o n t r o l f o r t h e r e f r a c t i o n d a t a .
T e s t s made at Norman Wells a t v e r y s h a l l o w d e p t h s u n d e r c o n d i t i o n s of an i r r e g u l a r p e r m a f r o s t t a b l e produced
a t i m e - d i s t a n c e g r a p h which e x a g g e r a t e d t h e i r r e g u l a r i t y ( P i g . 1 2 ) . T h i s w a s an extreme c a s e of t h e u s e of t h e
seismograph f o r t h e d e t e c t i o n of p e r m a f r o s t b e c a u s e t h e a c t i v e l a y e r was s o shallow. S i m i l a r t e s t s were made n e a r b u i l d i n g s and o t h e r a r e a s t o determine t h e l o c a l p e r m a f r o s t t a b l e .
lZlese o n l y confirmed t h e e f f e c t n o t i c e d i n P i g . 12. A l - though it i s d i f f i c u l t t o o b t a i n q u a n t i t a t i v e d e p t h v a l u e s
i n t h e s e i n s t a n c e s , a q u a l i t a t i v e p i c t u r e i s g i v e n .
P o r t Simpson.
-
A t F o r t Simpson where t h e p e r m a f r o s t w a s found t o be h i g h l y v a r i a b l e , a c a r e f u l a u g e r b o r i n g program w a sm a i n t a i n e d i n c o n j u n c t i o n w i t h t h e s e i s m i c r e f r a c t i o n o b s e r - v a t i o n s . P o r t Simpson i s l o c a t e d on a n i s l a n d 2.; m i l e s
l o n g by 2/'3 m i l e wide a t t n e c o n f l u e n c e of t h e l b c k e n z i e and
L i a r d R i v e r s . The i s l a n d h a s b e e n formed by a l l u v i a l d e p o s i - t i o n and i s composed of l a y e r s of c l a y , s i l t , sand, a n d
g r a v e l randomly a r r a n g e d . Consequently, a wide r a n g e o f v e l o c i t i e s w a s e n c o u n t e r e d a p p a r e n t l y due t o t h e e l a s t i c
c h a r a c t e r i s t i c s of t h e i n d i v i d u a l r e f r a c t i n g l a y e r s , A t
t i m e s this caused some ambiguity a s t o which v e l o c i t y should be a s c r i b e d t o t h e p e r m a f r o s t r e f r a c t o r . The u s e of r e v e r s e s p r e a d s , however, removed t h e ambiguity i n . a l m o s t e v e r y c a s e , Probably t h e most a r e a >.;as i n t h e west p a r t of t h e i s l a n d where t h e v e l o c i t y of water-satuxaated s i l t y f i n e sand
(7000 f t / s e c ) w a s of t h e same o r d e r a s t h e v e l o c i t y a t t r i b u t e d
t o permafrost. Then such a s i t u a t i o n is encountered it i s
e s t r e m e l y d i f f i c u l t t o d i f f e r e n t i a t e between t h e two.
A s e i s m i c p r o f i l e a c r o s s t h e i s l a n d i s g i v e n i n Fig. 1 3 a l o n g w i t h a u g e r b o r i n g s and d r i l l c o r e r e s u l t s , I t i s e v i - d e n t from t h e r e s u l t s t h a t t h e seismograph was a b l e t o f u r -
n i s h a r e a s o n a b l y a c c u r a t e p i c t u r e of t h e p e r m a f r o s t t a b l e i n t h i s a r e a , a l t h o u g h t h e r e l i a b i l i t y of t h e s e i s m i c t e c h - nique became l e s s w i t h d e c r e a s i ~ g depth t o p e r m a f r o s t . The p o s s i b l e r e a s o n s f o r t h i s a r e t h e same a s t h o s e which have been s u g g e s t e d f o r t h e Norman Wells r e s u l t s . P a r t i c u l a r n o t i c e should be t a k e n of t h e i n s t a n c e s when t h e d r i l l d i d
n o t c o n t a c t f r o s t because of b e i n g stopped by g r a v e l . D r i l l i n g t h r o u g h g r a v e l i s a slow and c o s t l y procedure w i t h t h e r e s u l t t h a t depth t o permafrost i n t'nose 1ocat;ions could n o t be
determined by t h i s means. I n such c a s e s , t h e use of t h e s e i s m i c method h a s obvious advantages.
An example of t h e d e t e c t i o n of a small d i s c o n t i n u i t y i n t h e permafrost by t'ne seismograph i s w e l l i l l u s t r a t e d by t h e work a t P o r t Simpson. A l i n e w a s
run
a c r o s s a d i s t a n c e of 110 f t from a base l i n e t o t i e i n t o a d r i l l h o l e . Adiscrepancy
on
t h e t i m e - d i s t a n c e curve showed a p a r t i c u l a r nonconformity t h a t extended some 30 f t i n l a t e r a l e x t e n t t h a t could o n l y be e x p l a i n e d by t h e presence of a n e s c a r p - ment i n t h e p e r m a f r o s t t a b l e o r a pocket o f low v e l o c i t y m a t e r i a l , Borings made on t h e b a s i s of t h e s e i s m i c evidenceshoned a l e a k y c e s s p o o l which covered t h e a r e a i n q u e s t i o n . Knowledge of any such s u b s u r f a c e s t r u c t u r e s would be v a l u a b l e t o a s i t e p l a n n e r .
1nuvik.- The t e s t s i n a g r a v e l p i t a t I n u v i k d e t e c t e d perma- f r o s t a t a s h a l l o w d e p t h i n s p i t e of t h e i r r e g u l a r s u r f a c e t e r r a i n . The v a l u e of t h i s means of d e t e c t i n g p e r m a f r o s t i n an a r e a of s h a l l o w d e p t h may b e q u e s t i o n e d from t h e s t a n d p o i n t of e f f i c i e n c y and it may b e j u s t a s e x p e d i e n t t o d i g t e s t p i t s i n t h e s e c i r c u m s t a n c e s . However, w i t h i n c r e a s i n g d e p t h of thaw it would be more a d v a n t a g e o u s t o u t i l i z e t h e s e i s m i c method t h a n t o d i g p i t s . I n v e s t i g a t i o n s o v e r pads of l o o s e g r a v e l showed h i g h a t t e n u a t i o n of s e i s m i c energy. a?is i s c h a r a c t e r i s t i c of u n c o n s o l i d a t e d m a t e r i a l s and o f t e n i s a l i m i t i n g f a c t o r i n t h e u s e of t h e method. Compacted r o c k f i l l a t t h e a i r p o r t runway was r e l a t i v e l y e f f i c i e n t i n t r a n s m i t t i n g s e i s m i c energy. A v e l o c i t y o f a p p r o x i m a t e l y 2000 f t / s e c was n o t i c e d f o r the compacted m a t e r i a l as c o n t r a s t e d w i t h a n a p p r o x i m a t e v e l o c i t y of 1200 f t / s e c for. l o o s e g r a v e l . A r e f r a c t o r w i t h a v e l o c i t y c o r r e s p o n d i n g t o t h a t o f p e r m a f r o s t was r e a d i l y i d e n t i f i e d a t a d e p t h o f
13
f t . T h i s compares t o a d e p t h o f 10.5 f t t o t h e t o p o f p e r m a f r o s t a t t h a t l o c a t i o n a s g i v e n by b o r e h o l e t e m p e r a t u r e r e a d i n g s .Ground f i s s u r e s which were common i n t h e i n v e s t i g a t e d s i t e s a t I n u v i k produced a marked d e l a y i n t r a v e l t i m e s .
In a h e a v i l y eroded embankment, f o r example, t h e t i m e r e a d i n g s were s o e r r a t i c t h a t t h e r e f r a c t i n g l a y e r c o u l d n o t b e mapped.
I V . RESISTIVITY METH-OD G e n e r a l
The r e s i s t i v i t y method of p r o s p e c t i n g i s b a s e d upon t h e e l e c t r i c a l p r o p e r t i e s o f t h e e a r t h . The t h e o r y i s o u t l i n e d b r i e f l y using t h e f o u r e l e c t r o d e Vienner c o n f i g u r a t i o n a s an
example ( F i g . 1 4 ) .
If t h e e a r t h i s composed of l a y e r s w i t h d i f f e r e n t r e s i s t i v i t i e s t h e n t h e o b s e r v e d r e s i s t i v i t y w i l l d e p a r t from
t h i s t h e o r e t i c a l expression. The d e p a r t u r e of t h e t h e o r e t i c a l r e s i s t i v i t y from t n e observed r e s i s t i v i t y i s dependent upon t h e d i f f e r e n c e i n t h e r e s i s t i v i t y of t h e second l a y e r and
i t s depth from t h e f i r s t l a y e r .
The ,Tagg method of i n t e r p r e t a t i o n r e q u i r e s a n i n d i r e c t com2arison of t h e observed r e s u l t s w i t h a f a m i l y of c u r v e s r e p r e s e n t i n g d i f f e r e n t r e s i s t i v i t y r a t i o s and d e p t h s . The method i s s l o ~ and t e d i o u s and w i l l n o t be d e s c r i b e d h e r e .
A complete d e s c r i p t i o n of t h e method i s g i v e n by Heiland
( 5 ) .
There a r e o t h e r methods of i n t e r p r e t a t i o n t h a t u t i l i z e empiri- c a l curve comparisons. m e y a r e u s u a l l y r a p i d b u t r e q u i r e supplementary i n f o r m a t i o n t o c o r r e l a t e t h e c u r v e s w i t h depths.iChe Tagg method i s r a r e l y at-t;empted f o r a n y t h i n g more complex t h a n a two-layer case. I n f a c t t h e r e s i s t i v i t y
method i s u s u a l l y c o n f i n e d t o mapping a s i n g l e h o r i z o n o r i n d e t e c t i n g l a t e r a l v a r i a t i o n s i n r e s i s t i v i t y .
R e s i s t i v i t y Apparztus
me f o u r - p o i n t Wenner c o n f i g u r a t i o n w a s used i n a l l c a s e s . Figure
15
shov~s t h e a p p a r a t u s and t h e f i e l d l a y o u t .The r e s i s t a n c e , R, may be r e a d d i r e c t l y on t h e i n s t r u m e n t and knowing t h e e l e c t r o d e s e p a r a t i o n , a , t h e a p p a r e n t r e s i s t i v i t y may be c a l c u l a t e d from:
R e s i s t a n c e measurement i s accomplished by means of a n a.c. impedance b r i d g e . This i s a n u l l method and does n o t draw any c u r r e n t i n t h e measuring galvanometer c i r c u i t . A
v i b r a t o r c o n v e r t s t h e d.c. o u t p u t from t h e b a t t e r y power
pack i n t o a l t e r n a t i n g c u r r e n t which i s n e c e s s a r y t o e l i m i n a t e p o l a r i z a t i o n e f f e c t s . The weight of t h e i n s t r u m e n t i s
approxinlately 20 l b n o t i n c l u d i n g c a b l e s and probes which weigh 1 0 l b . A survey may be c a r r i e d o u t by one man w i t h o u t
Discussion of R e s i s t i v i t y R e s u l t s
!he r e s i s t i v i t y a p p a r a t u s was f i r s t t e s t e d i n t h e O t t a w a a r e a u s i n g t h e Four-electrode Wenner c o n f i g u r a t i o n . I n t e r p r e t a t i o n was based on t h e Tagg curve method of s o l u t i o n
(14) and t h e r e s u l t s i n d i c a t e d a r e s i s t i v i t y change a t a depth of 4 f t which corresponded t o t h e n e a r s u r f a c e l a y e r observed s e i s m i c a l l y and by d r i l l i n g , The average s u r f a c e r e s i s t i v i t y of t h e s o i l w a s 1.7
x
lo3
ohm-cm.Probe s e p a r a t i o n d i s t a n c e s up t o 30 f t were used. Lack of s e n s i t i v i t y on t h e p a r t of t h e i n s t r u m e n t prevented g r e a t e r probe s e p a r a t i o n s . These p r e l i m i n a r y t e s t s suggested t h a t t h i s p a r t i c u l a r i n s t r u m e n t was more s u i t a b l e f o r shallow depth d e t e r m i n a t i o n s t h a n f o r deeper ones.
A t t h e Norman Wells a i r p o r t t h e e l e c t r i c a l charac- t e r i s t i c s of t h e ground were such t h a t t h e r e s u l t s i n d i c a t e d
a
g e n e r a l i n c r e a s e i n r e s i s t i v i t y of t h e s o i l extendingd o m from t h e s u r f a c e (Pig. 1 6 ) . The a i r p o r t i s on a r i d g e t h a t i s w e l l ' d r a i n e d and t h i s probably caused t h e m o i s t u r e c o n t e n t of t h e s o i l t o be g r e a t e s t n e a r t h e s u r f a c e and t o decrease w i t h depth. This s i t u a t i o n could account f o r t h e
i n c r e a s e of r e s i s t i v i t y w i t h depth. The i n v e s t i g a t i o n s i n c l u d e d measurements of some r e s i s t i v i t i e s of t h e a c t i v e l a y e r and t h e
permafrost. These a r e given i n Table V and show a wide v a r i a - t i o n i n v a l u e s . The s i g n i f i c a n t f a c t o r , however, i s t h e much g r e a t e r r e s i s t i v i t y of f r o z e n s o i l s a s compared w i t h unfrozen ones.
W L E V
MEASURE3 ilESISTIVITY OF
SONE EARTH FIIATERIALS
M a t e r i a l m R e s i s t i v i t y ohm-cm Wet g r e y s i l t y c l a y , Brown s i l t Permafrost ( s i l t ) 6.1
x
l o 3
3.1x
l o 3
8 . 2lo4
With t h e a p p r e c i a b l e c o n t r a s t i n r e s i s t i v i t y between f r o z e n a n d u n f r o z e n m a t e r i a l s t h i s method s h o u l d t h e r e f o r e be e f f e c t i v e iz d e t e c t i n g p e r m a f r o s t . A s was p o i n t e d o u t i n t h e t h e o r y , however, t h e c o n d i t i o n s become c o m p l i c a t e d when t h e a n a l y s i s d e p a r t s from t h e c a s e of l a y e r s of c l e a r l y d e f i n e d r e s i s t i v i t y .
The F o r t Simpson work y i e l d e d more p o s i t i v e r e s u l t s ( F i g . 1 7 ) , t h a n t h e work a t Norman Wells. Once a g a i n t h e
Tagg c u r v e method of i n t e r p r e t a t i o n w a s used. An a p p r e c i a b l e v a r i a t i o n of s u r f a c e r e s i s t i v i t y c r e a t e d some d i f f i c u l t y i n i n t e r p r e t a t i o n . Because t h e Tagg method i s dependent upon t h e r a t i o of r e s i s t i v i t i e s a d e g r e e of u n c e r t a i n t y i s i n t r o - duced i n t o d e p t h d e t e r m i n a t i o n s . Skipp a n d G r i f f i t h s
( 1 5 )
e n c o u n t e r e d t h e same problem and m o d i f i e d t h e Tagg method i n t h e i r i n t e r p r e t i n g procedure.In
some a r e a s t h e r e s i s t i v i t y method r e a d i l y d e t e c t s t h e p e r m a f r o s t t a b l e . The Tagg c u r v e i n t e r p r e t a t i o n method i s t e d i o u s b u t w i t h t h e accumulation of s u f f i c i e n t r e c o r d s from a s p e c i f i c a r e a it i s p o s s i b l e t h a t a l e s s time-consumingc u r v e - f i t t i n g method c o u l d be a p p l i e d .
T h e o r e t i c a l l y , t h e r e s i s t i v i t y method i s more a c c u r a t e
a t s h a l l o w e r d e p t h s . This was confirmed by experiment.
The e l e c t r i c a l r e s i s t i v i t y method however, s u f f e r s from
l a t e r a l v a r i a t i o n s o f s u r f a c e s o i l r e s i s t i v i t y and problems
.
more complex t h a n t h e t w o - l a y e r c a s e become e x c e e d i n g l yd i f f i c u l t t o i n t e r p r e t w i t h c o n f i d e n c e .
It i s s u g g e s t e d t h a t t h i s method c o u l d be a p p l i e d t o t h e d e t e c t i o n o f d e p t h of thaw i n a permanent i n s t a l - l a t i o n . 'Ibis c o u l d be accornplished by p l a c i n g a s e r i e s o f p r o b e s i n a f i x e d pat-tern whose s p a c i n g c o r r e s p o n d e d t o t h a t used f o r a r e s i s t i v i t y d e p t h s u r v e y . These would remain i n
p o s i t i o n f o r one s e a s o n a n d measurements would b e made p e r i o d i c a l l y . Local e f f e c t s c o u l d be e l i m i n a t e d w i t h t h i s p r o c e d u r e . The a c c u r a c y o f t h i s method i s n o t known b u t i t
would c e r t a i n l y m e r i t i n v e s t i g a t i o n . This method could be used under b u i l d i n g s where i t rrould be d i f f i c u l t t o measure thaw d e p t h s by any o t h e r means. The metnod c i t e d does n o t d i s t u r b t h e s u b s u r f a c e and a s such i s a n o n d e s t r u c t i v e method of e x p l o r a t i o n .
V. PRACTICAL COITSIDERATIONS I N GEOPHYSICAL METHODS
The p o r t a b l e seisniograph r e q u i r e s two men f o r f i e l d o p e r a t i o n , a n o b s e r v e r , and a man t o use t h e s l e d g e hammer. N e i t h e r man need have a p r o f e s s i o n a l background and a
competent o p e r a t o r could be t r a i n e d w i t h i n a m a t t e r of days. The e f f e c t i v e n e s s o f t h e seisrnograph a s a n e n g i n e e r i n g a i d i s r e l a t e d t o t h e experience of t h e i n t e r p r e t e r .
Under average c o n d i t i o n s , between 1000 and 1500 f t of p r o f i l e l e n g t h can be covered i n a day. T l i s assumes a s t a t i o n i n t e r v a l of 10 f t w i t h i n a s o u r c e - d e t e c t o r s e p a r a - t i o n of 50 f t and a s t a t i o n i n t e r v a l . o f 20 f t f o r g r e a t e r s e p a r a t i o n s
up
t o a maximum of 200 f t . This d i s t a n c eappeared t o be t h e upper l i m i t f o r s o u r c e - d e t e c t o r s e p a r a t i o n i n most c a s e s a l t h o u g h i n t h e c o u r s e o f t h e p r e s e n t i n v e s t i - g a t i o n s t h e s p r e a d l e n g t h d i d vary between 100 and 400 f t . Weather c o n d i t i o n s and n o i s e could g r e a t l y a f f e c t t h e s e nominal f i g ~ r e s . I f a second geophone were p l a c e d a t t h e extreme end of t h e s p r e a d ( F i g . l R ) , t h e n , w i t h a s u i t a b l e s w i t c h i n g mechanism, hammer blows from one p o s i t i o n would g i v e two wave paths. This would e l i m i n a t e r e v e r s e s h o t s and almost double d a i l y production.
A r e s i s t i v i t y survey could be conducted by one person. This man would n o t r e q u i r e a p r o f e s s i o n a l background and he could b e t r a i n e d i n f i e l d o p e r a t i o n s f a i r l y q u i c k l y . The d a t a r e d u c t i o n and computation a l s o could be c a r r i e d o u t by r e g u l a r o f f i c e h e l p w i t h t h e f i n a l i n t e r p r e t a t i o n done by t h e engineer-in-charge.
S i n c e no d e f i n i t e f i e l d procedures were f o r m u l a t e d ,
it i s n o t p o s s i b l e t o g i v e a r e l i a b l e e s t i m a t e of t h e d i s - t a n c e t r a v e r s e d p e r day. I n g e n e r a l it v ~ o u l d be l e s s t h a n by t h e s e i s m i c method.
V I . GENERAL STT1dWY AND CONCLUSIONS
!The shallow r e f r a c t i o n seismograph a p p e a r s t o o f f e r a u s e f u l method of d e l i n e a t i n g s u b s o i l s t r a t a w i t h i n t h e upper l a y e r s ( s a y 50 f t ) of t h e ground s u r f a c e . !be r e l i a b i l i t y of t h e s e i s m i c t e c h n i q u e i s r e l a t e d t o t h e a b i l i t y t o c l a s s i f y +different s o i l s t r u c t u r e s on t h e b a s i s of t h e i r wave v e l o c i t i e s and t o a c c u r a t e l y determine t h e s e v e l o c i t i e s i n t h e f i e l d . Although e a r t h m a t e r i a l s a r e c h a r a c t e r i z e d by c e r t a i n v e l o c i t y d i s t r i b u t i o n s , such d i s - t r i b u t i o n s t e n d t o o v e r l a p and t o show c o n s i d e r a b l e v a r i a - t i o n even w i t h i n m a t e r i a l s of t h e same t y p e . It i s t h e r e - f o r e d i f f i c u l t t o determine a c c u r a t e s u b s u r f a c e s o i l p r o f i l e s from s e i s m i c r e a d i n g s w i t h o u t some a u x i l i a r y knowledge of t h e s u b s u r f a c e s t r a t a . This i s l i k e l y t o r e q u i r e a t l e a s t some d r i l l i n g o r a l t e r n a t i v e method of s u b s u r f a c e a n a l y s i s . I n a d d i t i o n t h e r e l i a b i l i t y of t h e i n f o r m a t i o n o b t a i n e d i s
dependent t o a l a r g e e x t e n t on t h e s k i l l and experience of t h e i n t e r p r e t e r .
-
The h i g h v e l o c i t y c o n t r a s t t h a t e x i s t s between p e r e n n i a l l y f r o z e n s o i l and t h e s e a s o n a l l y thawed l a y e r a l l o w s t h e s e i s m i c method t o be used i n d e t e c t i n g t h e upper
s u r f a c e of permafrost, i f some i n f o r m a t i o n is a v a i l a b l e on t h e k i n d of s u b s o i l t h a t i s p r e s e n t . The s e i s m i c method p e r m i t s i n t e r p o l a t i o n f o r permafrost c o n d i t i o n s between b o r e h o l e s and i s of v a l u e i n d e t e c t i n g sudden changes o r d i s c o n t i n u i t i e s
i n t h e permafrost t a b l e .
It can be usedw i t h o u t d i s t u r b i n g t h e s o i l and it may be p a r t i c u l a r l y u s e f u l i n g r a n u l a r o r s t o n y s o i l s where s u b s u r f a c e e x p l o r a t i o n by d r i l l i n g o r by t e s t p i t s i s b o t h d i f f i c u l t and expensive,
T h i s s t u d y h a s shorvn t h a t t h e r e l i a b i l i t y o f t h e s e i s m i c t e c h n i q u e d e c r e a s e s w i t h d e c r e a s i n g d e p t h o f t h e '
p e r m a f r o s t f r o a t h e s u r f a c e a n d t h a t , i n such c a s e s ,
i r r e g u l a r i t i e s i n t h e p e r m a f r o s t t a b l e t e n d t o be e x a g g e r a t e d . The s e i s m i c method c a n o n l y be a p p l i e d i n a r e a s where low- v e l o c i t y l a y e r s o v e r l i e t h o s e of h i g h v e l o c i t y . Thus t h e method cannot be u s e d t o l o c a t e p e r m a f r o s t b e n e a t h a paved r o a d o r runnay o r o t h e r h i g h - v e l o c i t y medium o r t o l o c a t e u n f r o z e n a r e a s w i t h i n o r b e n e a t h t h e p e r m a f r o s t . It i s a l s o
of l i m i t e d v a l u e i f c a r r i e d o u t o v e r u n c o n s o l i d a t e d m a t e r i a l s such a s l o o s e g r a v e l p a d s , s i n c e t h e s e show h i g h a t t e n u a t i o n of s e i s m i c energy, !he p r e s e n c e of ground f i s s u r e s a l s o c o m p l i c a t e t h e mapping of t h e r e f r a c t i n g l a y e r by i n c r e a s i n g t h e wave t r a n s m i s s i o n t i m e .
I n
summary, t h e s e i s m i c method o f d e t e r m i n i n g t h e d e p t h t o p e r m a f r o s t a p p e a r s t o be b e s t s u i t e d f o r mapping a r e a s where t h e p e r m a f r o s t t a b l e i s t o o deep t o be r e a d i l y probed u s i n g s t e e l r o d s o r hand a u g e r s ( s a y g r e a t e r t h a n 1 0 f t ) o r where t h e s o i l i s s u c h as t o make t h e s e methods t o o time-consuming a n d c o s t l y . I n such c a s e s , t h e s e i s m i c method can be u s e d t o i n t e r p o l a t e between b o r e h o l e s and t o d e l i n e a t e t h e s p e c i f i c l o c a t i o n s where f u r t h e r d r i l l i n g o r s u b s u r f a c e i n v e s t i g a t i o n i s j u s t i f i e d t o o b t a i n mored e t a i l e d i n f o r m a t i o n on p e r m a f r o s t c o n d i t i o n s , , I n t h i s way, maximum sub s u r f a c e i n f o r m a t i o n c a n be o b t a i n e d a t minimum
c o s t .
!The r e s i s t i v i t y method o f p e r m a f r o s t d e t e r m i n a t i o n was g i v e n o n l y b r i e f s t u d y a n d t h e i n f o r m a t i o n o b t a i n e d w a s t h e r e f o r e l i m i t e d . A c o n c l u s i o n of some importance i s t h a t a marked r e s i s t i v i t y c o n t r a s t does e x i s t between f r o z e n and u n f r o z e n s o i l s a n d t h u s between p e r m a f r o s t and t h e a c t i v e
l a y e r . T h e r e s i s t i v i t y method i s more a c c u r a t e a t s h a l l o w d e p t h s and because of t h i s may s e r v e a s a u s e f u l complement t o t h e s e i s m i c method vihose r e l i a b i l i t y d e c r e a s e s w i t h