GLOSSARY

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M_{r}(s) = \frac{M}{k_{air}} = \sum_\alpha M_{r \alpha}(s)

where 

\displaystyle k(s)to fluid 

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body

M_{r, \alpha}

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body\alpha
-phase

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body\displaystyle \mu_\alpha

dynamic viscosity of fluid

relative

formation permeability

phase mobility of

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body\alpha
-phase

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bodyM

phase mobility

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bodyk_{air}

absolute permeability to air

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bodys

reservoir saturation

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body\{ s_w, \, s_o, \, s_g \}

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In most practical case of a 3-phase fluid model this will be:

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M_{r}(s) = M_{r o}(s) + M_{r g}(s) + M_{r g}(s)




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body\displaystyle M_{ro} = \frac{k_{ro}}{\mu_o}

relative oil mobility

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body\displaystyle M_{rg} = \frac{k_{rg}}{\mu_g}

relative gas mobility

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body\displaystyle M_{rw} = \frac{k_{rw}}{\mu_w}

relative water mobility

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