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| aquifer pressure diffusivity |
| net pay area |
| solution of unit-pressure radial composite reservoir transient flow | LaTeX Math Block Reference |
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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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Outer Boundary | |
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| \frac{\partial p_1(t_D, r_D)}{\partial r_D}
\Bigg|_{r_D=r_{aD}} |
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= 0or
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p_1(t_D, r_D = \infty)
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| p_1(t_D, r_D = \infty) = 0 |
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The Dimensionless Water Influx
is a unique function of time
for each dimensionless value of
which represents the ratio of external aquifer size
to net pay size
:
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