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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

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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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p_{wf}(t) = - \frac{q_t}{2 \pi \sigma} \, S +  p_{\rm ref}(t,r_w)

where

LaTeX Math Inline
bodyq_t

total sandface rate

LaTeX Math Inline
body\sigma

formation transmissibility outside the damaged reservoir zone 

LaTeX Math Inline
bodyA_s

LaTeX Math Inline
bodyp_{\rm ref}(t,r)

a reference model of a full-entry vertical well with homogeneous reservoir and non-damaged near-reservoir zone


See Also

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Petroleum Industry / Upstream / Subsurface E&P Disciplines / Well Testing / Pressure Testing

Well & Reservoir Surveillance ]

Skin-factor (geometrical) ][ Skin-factor (mechanical) ]