Page 51 - Principles of Applied Reservoir Simulation 2E

36 Principles of Applied Reservoir Simulation

The densities at standard conditions are constants and can be divided out of the
above equations. This reduces the equations to the following form:
Oil

B
d
*
Water
/ \
d v, yw I u zw
B
9* M d y( ») dz B
( »s
<?w ft w

Pw.c dt

Gas

- A
a*

By ( B g B
\ (4.26)
Zff" JO JW
o -i. 11 J_ ti
c
c
( -JL + R __2. + R _JL N
c
^ "^ ^ w,

4.3 Flow Equations in Vector Notation

Equations (4.10) through (4.16), (4.20), and (4.24) through (4.26) are the
basic fluid flow equations which are numerically solved in a black oil simulator.
A glance at Eqs. (4.24) through (4.26) illustrates the computational complexity