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Effective drainage radius for numerical well-reservoir contact model:
| Excerpt |
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| LaTeX Math Block |
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| r_e = 0.28 \ \frac{ \sqrt{
\Big( \frac{k_{\perp 2}}{k_{\perp 1}} \Big)^{1/2} D_{\perp 1} ^2
+
\Big( \frac{k_{\perp 1}}{k_{\perp 2}} \Big)^{1/2} D_{\perp 2} ^2
} }
{ \Big( \frac{k_{\perp 2}}{k_{\perp 1}} \Big)^{1/4} + \Big( \frac{k_{\perp 1}}{k_{\perp 2}} \Big)^{1/4}} |
where | LaTeX Math Inline |
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| body | {\bf D} = \{ D_{\perp 1}, D_{\perp 2} \} |
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– dimensions of the grid cell around well in transversal plane to the well axis.
Strictly speaking, the above formula is only valid in case well penetrates through the whole length of grid cell perpendicular to the cell faces.There are many modifications and generalizations of the Peaceman formula but in the most practical cases it works very well when suffucciently fine local grid refinement (LGR) is applied. |
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