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The transient pressure diffusion flow in this system the outer (Aquifer) composite area is going to honour the following equation:
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Consider dimensionless solution
of the following equation:
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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(t_D, r_D)}{\partial r_D}
\Bigg|_{r_D=r_{aD}} = 0 |
or | LaTeX Math Block |
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| p_1(t_D, r_D = \infty) = 0 |
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which represents a specific function of dimensionless time
and distance
.
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