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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 

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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