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LaTeX Math Block
anchorTI84W
alignmentleft
S_M = \left (  \frac{k}{k_s} - 1   \right ) \ \ln \left (  \frac{r_s}{r_w}   \right )

where 

LaTeX Math Inline
bodyr_w

well radius from drilling

LaTeX Math Inline
bodyr_s

damaged reservoir (

LaTeX Math Inline
bodyk_s \neq k
) radius:
LaTeX Math Inline
bodyr_s > r_w
( the most typical range is
LaTeX Math Inline
bodyr_w < r_s < 1
m )

LaTeX Math Inline
bodyk

absolute formation permeability in the undamaged reservoir zone away from well location

LaTeX Math Inline
bodyk_s

absolute formation permeability in the damaged near-well reservoir zone

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