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The transient pressure diffusion in the outer (Aquifer) composite area is going to honour the following equation:
| Driving equation | Initial condition |
|---|
| LaTeX Math Block |
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| \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) |
|
| Inner Aquifer boundary | Outer Aquifer boundary is one of the below: |
|---|
| Pressure variation at the contact with Net Pay Are | "No-flow" outer Aquifer boundary | Full pressure support outer Aquifer boundary |
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| 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 |
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| alignment | left |
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| \frac{\partial p_a}{\partial r}
\bigg|_{(t, r=r_a)} = 0 |
|
or | | LaTeX Math Block |
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| p_a(t, r = \infty) = 0 |
|
Consider dimensionless solution
of the following equation:
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