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LaTeX Math Inline
bodyq_W

water production rate

LaTeX Math Inline
bodyq_L

liquid production rate 

LaTeX Math Inline
body--uriencoded--p%5e*_1

formation pressure in petroleum reservoir

LaTeX Math Inline
body--uriencoded--J_%7B1W%7D

water productivity index of petroleum reservoir

LaTeX Math Inline
body--uriencoded--J_%7B1O%7D

oil productivity index of petroleum reservoir

LaTeX Math Inline
body--uriencoded--p%5e*_2

formation pressure in aquifer

LaTeX Math Inline
body--uriencoded--J_%7B2W%7D

water productivity index of aquifer



The equation 

LaTeX Math Block Reference
anchorqOW
 suggests that water cut declines along with aquifer pressure decline.

It also suggest that water cut grows with decline of the petroleum reservoir pressure and decreases when petroleum reservoir pressure grows.


For the case of aquifer pressure is higher than that of petroleum reservoir:

LaTeX Math Inline
body--uriencoded--b > 0 \Leftrightarrow p%5e*_2 > p%5e*_1
,

which means that if aquifer pressure is higher than petroleum reservoir pressure then production increase will lead to the water cut  decline.

For the case of aquifer pressure is lower than that of petroleum reservoir:

LaTeX Math Inline
body--uriencoded--b < 0 \Leftrightarrow p%5e*_2 < p%5e*_1
,

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