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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) |_{{\bf r} \in \Gamma_s}
 at the boundary
LaTeX Math Inline
body\Gamma_s
 of damaged reservoir zone
LaTeX Math Inline
bodyA_s

LaTeX Math Block
anchorSMdef
alignmentleft
S_M = \frac{2 \pi \sigma}{q_t} \cdot \left[ p_{wf}(t) - p({\bf r}, t) |_{{\bf r} \in \Gamma_s} \right]

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LaTeX Math Inline
bodyq_t

total sandface rate

LaTeX Math Inline
body\sigma

formation transmissibility at the boundary

LaTeX Math Inline
body\Gamma_s
of the damaged reservoir zone 
LaTeX Math Inline
bodyA_s

LaTeX Math Inline
bodyA_s

damaged reservoir zone

LaTeX Math Inline
body\Gamma_s


The 

LaTeX Math Block Reference
anchorSMdef
 can be re-wrriten as:

LaTeX Math Block
anchorP_wf_skin
alignmentleft
p_{wf}(t) = p^o_{wf}(t)| - \frac{q_t}{2 \pi  \sigma} \ S_M

with the meaning that near-reservoir damage is resulting in additional pressure drop quantified by the value of mechanical skin-factor 

LaTeX Math Inline
bodyS_M


It quantitatively characterises permeability change in a thin layer (usually < 1 m) around the well or around the fracture plane, caused by stimulation or deterioration during the reservoir invasion under drilling or well intervention or under routine production or injection.

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The most popular practical range of skin-factor variation is 

LaTeX Math Inline
body-5 < S_M < 8
 with upper limit may sometimes extend further up.

For the negative skin-factor values there is a natural limitation from below caused by the Mechanical Skin concept itself.

The Mechanical Skin concept is trying to approximate the true inhomogeneity of the near and far reservoir zones with homogenous far reservoir model and additional pressure drop at the well wall.

In case of high permeability

The values of 

LaTeX Math Inline
bodyS_M < -5
 are usually not supported by the majority of commercial simulators as these values assume almost infinite permeability in the 10 m area around the well seesee 
LaTeX Math Block Reference
anchorks
 below:

LaTeX Math Block
anchorks
alignmentleft
k_s = k \cdot \left[ 1+\frac{S_M}{ \ln \frac{r_s}{r_w}} \right]^{-1} \rightarrow \infty \, \mbox{  when  } S_M \rightarrow -5


In other words, the highly negative skin-factor 

LaTeX Math Inline
bodyS_M < -5
 should be modelled as composite area around near-reservoir zones rather than using the concept of Mechanical Skin.


For horizontal wells the lower practical limit when Mechanical Skin concept can be applied is even lower and usually assumed as 0.

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