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\delta p_1 = - p_{u,\rm 21}(t) \cdot \delta q_2 |
where
| time since the water injection rate has changed by the
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| cross-well pressure transient response in producer W1 to the unit-rate injection in injector W2 |
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Case #2 – Constant BHP
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\delta q_1 = - \frac{p_{u,\rm 1121}(t)}{p_{u,\rm 2111}(t)} \cdot \delta q_2 |
where
| time since the water injection rate has changed by the
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| cross-well pressure transient response (CTR) in producer W1 to the unit-rate injection in injector W2 | ||||||||
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| drawdown pressure transient response (DTR) in producer W1 to the unit-rate production in the same well |
Pseudo-steady state flow
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\delta q_1 = -\frac{c_{t,2} V_{\phi, 2}}{c_{t,1} V_{\phi, 1}} \cdot \delta q_2 |
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