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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 radius

LaTeX Math Inline
bodyr_s > r_w

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




Definition suggest that
 

  • deteriorated near-well reservoir zone 
    LaTeX Math Inline
    bodyk_s < k
     is characterized by a positive skin-factor 
    LaTeX Math Inline
    bodyS>0
    ,
     
  • improved near-well reservoir zone  
    LaTeX Math Inline
    bodyk_s > k
     is characterized by a negative skin-factor 
    LaTeX Math Inline
    bodyS<0
    .

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