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LaTeX Math Block
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S_T = S_G + \frac{A_w}{A_{wrc}} \cdot S_M

where

LaTeX Math Inline
bodyS_G

Geometrical skin, related to deviation of the well-reservoir contact from the simplest model

LaTeX Math Inline
bodyS_M

Mechanical skin, related to pressure drop caused by the near-reservoir zone formation damage

LaTeX Math Inline
bodyA_w

borehole flow area

LaTeX Math Inline
bodyA_{wrc}

well-reservoir contact area


Based on definition the wellbore pressure dynamics 

LaTeX Math Inline
bodyp_{wf}(t)
of the well with skin-factor can be writen as:

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