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Plotting BHP 

LaTeX Math Inline
bodyp_{wf}(t)
 and  and formation pressure 
LaTeX Math Inline
bodyp_e(t)
vs cumulative flow cumulatives 
LaTeX Math Inline
bodyQ(t) = \int_0^t q_t(\tau) d\tau

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It shows unit slope for PSS flow regime:


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anchorpwf
alignmentleft
p_{wf}(t) = p_i 

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- J^{-1} q_t 

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- \frac{1}{ V_{\phi} \, c_t} Q(t)



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anchorpe
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p_e(t) = p_i 

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- \frac{1}{ V_{\phi} \, c_t} Q(t)


while 

LaTeX Math Inline
bodyp_{wf}(t)
 and 
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bodyp_e(t)
are being parallel to each other.

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LaTeX Math Block
anchorNQBD5
alignmentleft
J = \frac{q_t}{\Delta p} = \rm const


The increase/decrease in gap between parallel lines is indicating increase/decrease in productivity index 

LaTeX Math Inline
bodyJ
.

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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