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| 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 generalization of the Peaceman formula but in the most practical cases it works very well when suffucciently sufficiently fine LGR is applied. |
In particular case of isotropic permeability
| LaTeX Math Inline |
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| body | k_{\perp 1} = k_{\perp 2} |
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|
the Peaceman effecxtive radius is given by:
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