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W_{eD}(t, r_{aD}) = \int_0^{t}
\frac{\partial p_1( t_D, r_D)}{\partial r_D} \Bigg|_{r_D=1} dt_D |
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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{aD})} = 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.
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