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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:
LaTeX Math Block |
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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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| . |
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In this case , injector when injector W2 supports only one producer W1 then
LaTeX Math Inline |
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body | V_{\phi, 2} = V_{\phi, 1} |
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and
LaTeX Math Inline |
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body | \delta q_1 = \delta q_2 |
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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
W22 (the response delay in time becomes irrelevant at long terms of the conventional production analysis).
If pressure in producer W1 is supported by several injectors
then over a long period of time one can assume:
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