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LaTeX Math Block
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\sum_{k=1}^N f_{0k} = 1 	\quad \Leftrightarrow \quad \sum_{k=1}^N V_{\phi,k} = V_{\phi,0}

with constant coefficients

LaTeX Math Inline
bodyf_{0k} \geq 0, \ {k=\{i..N \} }
, unless there is a thief injection outside the drainage area of all producers and in this case: 

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\sum_{k=1}^N f_{0k} < 1	\quad \Leftrightarrow \quad \sum_{k=1}^N V_{\phi,k} < V_{\phi,0}



If pressure around producer W1 is supported by several injectors 

LaTeX Math Inline
bodyN_{\rm inj} > 1
then production response in producer W1 is going to be:

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