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Single-phase or pseudo single-phase PVT model with the following correlations:

 

Total sandface flowrate:

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anchorq
alignmentleft
q_t = q_s \, B

where 

LaTeX Math Inline
bodyB
 is fluid formation volume factor and
LaTeX Math Inline
bodyq_s
 is  surface flowrate.


Fluid Mobility:

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anchorOW
alignmentleft
\left<\frac{k}{\mu} \right> =\frac{ k_{air} }{\mu}

where 

LaTeX Math Inline
bodyk_{air}
 is absolute formation permeability to air
LaTeX Math Inline
body\mu
 is dynamic fluid viscosity.


Total compressibility:

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anchorEFMTR
alignmentleft
c_t = c_r + c

where 

LaTeX Math Inline
bodyc_r
 is formation compressibility and 
LaTeX Math Inline
bodyc
 is fluid compressibility.