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LaTeX Math Block
anchorTI84W
alignmentleft
S_G =  \frac{2 \pi \sigma}{q_t} \left[ p_{wf}(t) - p({\bf r}, t) |_{r = r_w} \right]

where

LaTeX Math Inline
bodyq_t

total sandface rate

LaTeX Math Inline
body\sigma

formation transmissibility at the well-reservoir contact:

LaTeX Math Inline
bodyr = r_w



It characterises the pressure drop at well-reservoir contact due to well-reservoir contact geometry.

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The geometrical skin is positive for limited entry wells.


For the fractured vertical well the geometrical skin-factor 

LaTeX Math Inline
bodyS_G
is related to Fracture half-length 
LaTeX Math Inline
bodyX_f
as:

LaTeX Math Block
anchorXf
alignmentleft
S_G = - \ln \left(\frac{X_f}{2\, r_w} \right)

See Also

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

Well & Reservoir Surveillance ] [ Skin-factor (total)Skin-factor (mechanical) ]