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Normalised dimensionless difference between the sandface bottomhole pressure (BHP) 

LaTeX Math Inline
bodyp_{wf}(t)
  and the sandface reservoir pressure 
LaTeX Math Inline
body\displaystyle p({\bf r}, t) |_{r = r_w}
 at the well-reservoir contact.

LaTeX Math Block
anchorTI84W
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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.

The geometrical skin is negative for fractured wells and slanted.

It also negative for horizontal wells when lateral permeability is not much lower than vertical.

The geometrical skin is positive for limited entry wells.