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Moving to annual time step may accumulate a substantial mistake if formation pressure has varied substantially in some years.  


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titlePolynomial approximations for WeD

Polynomial approximation of 

LaTeX Math Inline
bodyW_{eD}(t_D)
  are available (http://dx.doi.org/10.2118/15433-PA).


Table 1.

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 Polynomial approximation of 

LaTeX Math Inline
bodyW_{eD}(t_D)
 for infinite aquifer

LaTeX Math Inline
bodyt_D< 0.01

LaTeX Math Inline
bodyW_{eD}=\sqrt{\frac{t_D}{\pi}}

LaTeX Math Inline
body0.01 < t_D<200

LaTeX Math Inline
body\displaystyle W_{eD}=\frac {1.2838 \cdot t_D^{1/2} + 1.19328 \cdot t_D +0.269872 \cdot t_D^{3/2} +0.00855294 \cdot t_D^2} {1+0.616599 \cdot t_D^{1/2}+0.0413008 \cdot t_D}

LaTeX Math Inline
bodyt_D > 200

LaTeX Math Inline
body\displaystyle W_{eD}=\frac{-4.29881+2.02566 \cdot t_D}{\ln t_D}



Scope of Applicability

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The benefit of VEH approach is that net pay formation pressure history 

LaTeX Math Inline
bodyp(t)
is usually known so that water influx calculation based on aquifer properties 
LaTeX Math Inline
body\{ B, \, r_a, \, \chi \}
 is rather straightforward.

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