Issue 49

A. Kostina et alii, Frattura ed Integrità Strutturale, 49 (2019) 302-313; DOI: 10.3221/IGF-ESIS.49.30

       (1 ) ' p r n c d ,

dn c

(17)

         m xx yy zz

 / 3

c is the pore compressibility; r

where p

c is the rock compressibility;

p ;

;  xx

,

    '



m B

 yy ,  zz are the diagonal stress tensor components. This model can be applied in case of the high confining pressure when the effect of shear dilation is small. The second model [11] uses exponential dependence of volumetric strain on porosity:        0 1 (1 )Exp vol n n , (18) mechanism of deformation is the increase in volumetric strains. The following boundary and initial conditions were used to close the developed system of equations for SAGD simulation:     0 0 p t p , (19)     0 0 T t T , (20) where 0 n is the initial porosity;  vol is the volumetric strain. This model can be applied to the cases when the prevailing

 S t w

   0 0

w S ,

(21)

 s S t

   0 0

,

(22)



S

rw S ,

(23)



w

1

   1

S

rw ro S S ,

(24)



s

1



p

b p ,

(25)



1



p

w p ,

(26)



2

 b T T , 

(27)

1

 



'

0

,

(28)

n q



2









 

  

 n v s s

 n v , s s

(29)



1









 

  

 n v

 n v , w w

(30)



w w

1



u

0

,

(31)

 

x

3 4 ,



u

,

(32)

0

 

y

5 6 ,

306