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| \frac{d Q^{\downarrow}_{AQ}}{dt_D\partial p_a}{\partial t} = \frac{chi B \cdot (p_i - p(t_D)) - Q^{\downarrow}_{AQ} \cdot p'_D(t)}{p_D(t) - t \cdot p'_D(t)}\left[ \frac{\partial^2 p_a}{\partial r^2} + \frac{1}{r}\cdot \frac{\partial p_a}{\partial r} \right] |
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| q^{\downarrow}_{AQ}(t)=\frac{d Q^{\downarrow}_{AQ}}{dt} |
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| p_a(t, r)|_{r=r_e} = p(r) |
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| t_D=q^{\downarrow}_{AQ}(t)= B \cdot \frac{\pipartial p}{\partial r} |
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| p_a(t, r)|_{r=\infty} = p_i |
or | LaTeX Math Block |
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| \frac{\partial p_a}{\partial r}|_{r=r_a} = 0\chi \, t}{A_e} |
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See Also
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1. van Everdingen, A.F. and Hurst, W. 1949. The Application of the Laplace Transformation to Flow Problems in Reservoirs. Trans., AIME 186, 305.
2. Tarek Ahmed, Paul McKinney, Advanced Reservoir Engineering (eBook ISBN: 9780080498836)
3. Klins, M.A., Bouchard, A.J., and Cable, C.L. 1988. A Polynomial Approach to the van Everdingen-Hurst Dimensionless Variables for Water Encroachment. SPE Res Eng 3 (1): 320-326. SPE-15433-PA. http://dx.doi.org/10.2118/15433-PA
