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Majalah Ilmiah UNIKOM

Vol.6, No. 2

185

H a l a m a n

4)

Where a, b

and

In the case of transverse isotrophy

medium, a and b can

be expressed as

following:

The existence of fluid in fracture

influences compliance or stiffness value, it

directly causes change of seismic wave

velocity and Thomsen parameter as

following

1)

:

)

(

D

sin

1

)

(

v

sat

*

2

sat

sat

sat

p

where

(9)

sat index shows saturated condition. As

seen in above equation, the existence of

fluid in fractured medium only affects in P

wave velocity and SV wave velocity, and it

do not affect in SH wave velocity.

Furthermore, compliance and stiffness

tensor in transverse isotrophy and fluid

saturated is stated as following

(10)

(11)

(12)

and,

C

11

, C

13

, C

33

, C

55

, C

66

are expressed as

following

(14)

Where

d*®

)

C

2

C

C

)(

C

C

(

C

2

C

2

2

1

C

C

C

55

33

11

55

33

2

55

2

33

*

2

55

55

13





6 6

5 5

4 4

2

3 3

1 3

1 3

1 3

2

2 2

1 2

1 3

1 2

2

1 1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

C

C

C

b

C

ab

C

ab

C

ab

C

a

C

ab

C

ab

C

ab

C

a

C

C

sa t

ij

o

13

12

11

K

3

1

)

C

1

C

1

C

1

(

a

o

33

13

K

3

1

)

C

1

C

2

(

b





o

f

o

dry

K

1

K

1

K

1

K

1

ζ

o

13

66

11

11

K

3

1

)

C

1

C

2

C

1

C

1

(

a

o

K

C

C

b

3

1

)

1

2

(

33

13

)

(

sin

2

1

sin

2

1

)

(

2

2

sh

sat

sat

sat

sat

sh

v

v

sat

33

sat

C

sat

55

sat

C

















1

sin

1

1

4

cos

sin

1

4

1

1

2

1

2

/

1

4

2

2

2

2

2

2

2

*

2

*

s at

s at

s at

s at

s at

s at

s at

s at

s at

s at

s at

s at

D

sat

sat

sat

sat

C

C

C

33

33

11

2

55

55

66

55

55

66

2

2

C

C

C

C

C

C

sat

sat

sat

sat

)

2

)(

(

)

(

2

2

1

55

33

11

55

33

2

55

13

2

33

C

C

C

C

C

C

C

C

sat

sat

sat

sat

sat

sat

2

11

11

1

1

a

C

C

sat

ab

C

C

sat

13

13

1

1

2

33

33

1

1

b

C

C

sat

2

33

o

C

2

55

o

C

33

11

)

1

2

(

C

C

55

66

)

1

2

(

C

C

dan