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We write equations (we have 3 equations - number of
equations in the system equals the number of rows of wells)
P f P bh 1 Q 1 Q 2 Q 3 D 0 Q 1 Q 2 Q 3 0 1 Q 1 1
P
f P bh 2 Q 1 Q 2 Q 3 D 0 Q 1 Q 2 Q 3 0 1
Q 2 Q 3 1 2 Q 2 2
(3.3)
P f P bh 3 Q 1 Q 2 Q 3 k 0 Q 1 Q 2 Q 3 0 1
Q 2 Q 3 1 2 Q 3 2 3 Q 3 3 ,
where Р f – pressure drainage boundary (formation pressure), Pa;
Р bh1, Р bh2, Р bh3 - bottom-hole pressures the first, second and third
rows of wells, Pa; Q 1, Q 2, Q 3 – flowrates the first, second and third
3
rows of wells, m /s; D-o, o-1, 1-2, 2-3 - external filtration
3
resistances, Pаs/m ; 1, 2, 3 – internal filtration resistances,
3
Pаs/m .
External filtration resistances for the strip deposit are
defined by formulas (3.4)-(3.7)
l l
D 0 w k 0 ; (3.4) 0 oil 0 1 ; (3.5)
Bkh 1 Bkh
l l
1 oil 1 2 ; (3.6) 2 oil 2 3 ; (3.7)
2
Bkh 3 Bkh
where w, oil coefficients of dynamic viscosity of water and oil,
respectively, Pаs, for water w=1 mPаs; l D-0, l 0-1, l 1-2, l 2-3
distances, m; В width of deposit, m; k coefficient of
2
permeability, m ; h layer thickness, m.
Internal filtration resistances not depend on the form of
deposit and defined by formulas (3.8)-(3.10)
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