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| \frac{\partial p_1}{\partial t_D} = \frac{\partial^2 p_1}{\partial r_D^2} + \frac{1}{r_D}\cdot \frac{\partial p_1}{\partial r_D} |
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| p_1(t_D = 0, r_D)= 0 |
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| p_1(t_D, r_D=1) = 1 |
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| \frac{\partial p_1}{\partial r_D}
\bigg|_{(t_D, r_D=r_a/r_e)} = 0 |
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The Dimensionless Water Influx
is a unique function of time for each dimensionless value of .This function is well tabulated for a wide range of
variations.There are also polynomial approximations.
See Also
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Petroleum Industry / Upstream / Subsurface E&P Disciplines / Field Study & Modelling
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