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The drainage volume difference

LaTeX Math Inline
body\delta V_{\phi} = V_{\phi, 2} - V_{\phi, 1} >0
 may be related to the fact that water injection W2 is shared between
LaTeX Math Inline
bodyV_{\phi, 1}
 and another reservoir   or or with another producer. 

Case #1 –  Constant flowrate production 
LaTeX Math Inline
bodyq_1 = \rm const >0

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