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\delta q_1(t) = - \frac{\dot p_{u,\rm 21}(t)}{\dot p_{u,\rm 11}(t)} \cdot \delta q_2 |
where
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since injector's W2 rate has changed |
by
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time derivative of cross-well pressure transient response (CTR) in producer W1 to the unit-rate production in injector W2 | ||||
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time derivative of drawdown pressure transient response (DTR) in producer W1 to the unit-rate production in the same well |
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Consider a pressure convolution equation for the above 2-wells system with constant BHP:
The time derivative is going to be
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