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In case injector W0 supports many producers {W1 .. WN} then all injection shares towards producers are going to sum up to a unit value:

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\sum_{k=1}^N f_{0k} = 1

unless there is thief injection outside the drain area of all producers and in this case: 

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\sum_{k=1}^N f_{0k} < 1



If pressure in producer W1 is supported by several injectors 

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bodyN_{\rm inj} > 1
then over a long period of time one can assume:

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\delta q_1 =\sum_k f_{k1} \delta q_k

with constant coefficients

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bodyf_{1k}, \ {k=\{1..N_{\rm inj} \} }


The equations 

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, which makes
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 and 
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anchorfk1
make one of the key assumptions in Capacitance Resistance Model (CRM).

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