Page 61 - 6685
P. 61
where a and b - approximation coefficients that are constant for a
given oil and gas at a certain pressure.
There are two methods for determining coefficients a and
b:
1) dependencies on graphics;
2) analytically.
To do this, we write the equation (6) for two values of P kі
and P k i+1
F i k
oil
аР i k ;b
oil Р i k b Р i k
(3.38)
F oil i k 1
Р Рb аР i k 1 .b
oil i k 1 i k 1
Solving system of equations (3.38) determine the
coefficients a and b. For this equation deducted from the first
second. We have
F i k F oil i k 1
oil
Р Рb
b
Р
Р
a oil i k i k oil i k 1 i k 1 .
P i k P i k 1
From the first equation defines the coefficient b
F
b oil i k aP , or
oil i k
b
Р
Р
i k
i k
F i k F oil i k 1
oil
F Р Рb
Р
b
Р
b oil i k oil i k i k oil i k 1 i k 1 P .
oil P P i k 1 i k
Р
Р
b
i k
i k
i k
There is another oil inflow equation
61