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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
and another reservoir or with another producer.
Case #1 – Constant flowrate production
Assuming producer is working with constant flowrate
, the The pressure response
in producer
W1 to the variation
of injection volume in injector
W2:
| LaTeX Math Block |
|---|
|
\delta p_1 = - p_{u,\rm 21}(t) \cdot \delta q_2 |
Case #2
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– Constant BHP
, the The flowrate response
in producer
W1 to the variation
of injection volume in injector
W2:
| LaTeX Math Block |
|---|
|
\delta q_1 = - \frac{p_{u,\rm 11}(t)}{p_{u,\rm 21}(t)} \cdot \delta q_2 |
where
is time since the water injection rate has changed by the
value.
Pseudo-steady state flow
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