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LaTeX Math Inline
body\sigma

transmissibility

LaTeX Math Inline
body\epsilon

a model parameter depending on Productivity Index definitions and boundary type (

LaTeX Math Inline
body\epsilon =\{ 0, \, 0.5, \, 0.75 \}
, see table below)



Drain-area Productivity Index Index, 

LaTeX Math Inline
bodyJ_r = \frac{q}{p_r - p_{wf}}

Drain-boundary Productivity Index 

LaTeX Math Inline
bodyJ_e = \frac{q}{p_e - p_{wf}}

Steady State flow regime (SS)


LaTeX Math Block
alignmentleft
J_r  = \frac{2 \pi \sigma}{ \ln \frac{r_e}{r_w} + 0.5 + S}



LaTeX Math Block
alignmentleft
J_e  = \frac{2 \pi \sigma}{ \ln \frac{r_e}{r_w}  + S}


 Pseudo-steady State flow regime (PSS)


LaTeX Math Block
alignmentleft
J_r  = \frac{2 \pi \sigma}{ \ln \frac{r_e}{r_w} + 0.75 + S}



LaTeX Math Block
alignmentleft
J_e  = \frac{2 \pi \sigma}{ \ln \frac{r_e}{r_w} + 0.5 + S}


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