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| borderColor | wheat |
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| bgColor | mintcream |
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| borderWidth | 7 |
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| For the finite-volume reservoir | LaTeX Math Inline |
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| body | V_{\phi,1} \leq V_{\phi,2} < \infty |
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the DTR and CTR are both going through the PSS flow regime at late transient times:
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| anchor | Case2_PSS_p11 |
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| alignment | left |
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| p_{u,\rm 11}(t \rightarrow \infty) \rightarrow \frac{t}{c_t V_{\phi, 1}} |
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| anchor | Case2_PSS_p21 |
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| alignment | left |
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| p_{u,\rm 21}(t \rightarrow \infty) \rightarrow \frac{t}{c_t V_{\phi,2}} |
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where Substituting | LaTeX Math Block Reference |
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and | LaTeX Math Block Reference |
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in | LaTeX Math Block Reference |
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one arrives to | LaTeX Math Block Reference |
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In case when injector W2 supports only one producer W1 both wells drain the same volume and
| LaTeX Math Inline |
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| body | V_{\phi, 2} = V_{\phi, 1} |
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so that
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leads to:
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which means that producer W1 with constant BHP and finite-reservoir volume will eventually vary its rate at the same volume as injector W2.
In case injector W2 supports many producers {W1 .. WN } then total injection shares towards producers is going to be unit:
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\sum_k f_{2k} = 1 |
unless there is thief injection outside the drain area of all producers.
If pressure in producer W1 is supported by several injectors
then over a long period of time one can assume:
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