Plotting BHP
and formation pressure vs vs cumulatives LaTeX Math Inline |
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body | Q(t) = \int_0^t q_t(\tau) d\tau |
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It shows unit slope for PSS flow regime:
LaTeX Math Block |
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| p_{wf}(t) = p_i |
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- J^{-1} q_t - \frac{1}{ V_{\phi} \, c_t} Q(t) |
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) = p_i - \frac{1}{ V_{\phi} \, c_t} Q(t) |
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while
and are being parallel to each other.
The difference between two straight lines
LaTeX Math Inline |
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body | \Delta p = | p_e(t) - p_{wf}(t) | = \rm const |
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is related to productivity index and flowrate which stay constant during the PSS flow regime: LaTeX Math Block |
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J = \frac{q_t}{\Delta p} = \rm const |
The increase/decrease in gap between parallel lines is indicating increase/decrease in productivity index
.The increase/decrease of the parallel lines slope is indicating decrease/increase (inverse response) of the drainage volume.
Flattening out of parallel lines is indicating transition to Steady-State flow regime.
See Also
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Petroleum Industry / Upstream / Production / Subsurface Production / Field Study & Modelling / Production Analysis
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