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In many practical cases the Radial Flow Pressure Diffusion is evolving towards pressure stabilization and can be efficiently analyzed using the pseudo-steady state flow model.
Inputs & Outputs
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| r_{wf} < r \leq r_e |
| | 3MUX9 | p(t, r ) = p(r) \Leftrightarrow \frac{\partial p}{\partial t} |
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| \chi \left[ \frac{\partial^2 p}{\partial r^2} + \frac{1}{r} \frac{\partial p}{\partial r} =0\right] |
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| \left[ \frac{\partial p}{\partial r} \right]_{r=r_e} = 0 |
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| \left[ r\frac{\partial p(r )}{\partial r} \right]_{r \rightarrow r_w} = \frac{q_t}{2 \pi \sigma} |
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| p_{wf}= p(r_w ) - S \cdot r_w \, \frac{\partial p}{\partial r} \Bigg|_{r=r_w} |
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