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(see schematic and notations on Fig. 1 at Radial VEH Aquifer Drive @model).
The Aquifer's outer boundary may be "no-flow" or full pressure support, thus implementing the case of the infinite-volume Aquifer.
The transient pressure diffusion in the outer (Aquifer) composite area is going to honour the following equation:
| LaTeX Math Block |
|---|
| \frac{\partial p_a}{\partial t} = \chi \cdot \left[ \frac{\partial^2 p_a}{\partial r^2} + \frac{1}{r}\cdot \frac{\partial p_a}{\partial r} \right] |
| | LaTeX Math Block |
|---|
| p_a(t = 0, r)= p(0) |
| | LaTeX Math Block |
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| p_a(t, r=r_e) = p(t) |
| | LaTeX Math Block |
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| anchor | p1_PSS |
|---|
| alignment | left |
|---|
| \frac{\partial p_a}{\partial r}
\bigg|_{(t, r=r_a)} = 0 |
or | LaTeX Math Block |
|---|
| p_a(t, r = \infty) = 0 |
|
Consider dimensionless solution
of the following equation:
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