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LaTeX Math Inline
body--uriencoded--p(t, %7B\bf r%7D)

reservoir pressure

LaTeX Math Inline
bodyt

time

LaTeX Math Inline
body--uriencoded--\rho(%7B\bf r%7D)

fluid density 

LaTeX Math Inline
body--uriencoded--%7B\bf r %7D

position vector

LaTeX Math Inline
body--uriencoded--\phi(%7B\bf r%7D)

effective porosity 

LaTeX Math Inline
body--uriencoded--%7B\bf r %7D_k

position vector of the

LaTeX Math Inline
bodyk
-th source

LaTeX Math Inline
body--uriencoded--c_t(%7B\bf r%7D)

total compressibility 

LaTeX Math Inline
body\delta ( \bf r )

Dirac delta function

LaTeX Math Inline
bodyM = k / \mu--uriencoded--M(%7B\bf r%7D)

phase mobility 

LaTeX Math Inline
body--uriencoded--M(%7B\bf r%7D) = \frac%7Bk(%7B\bf r%7D)%7D%7B\mu%7D
phase mobility

LaTeX Math Inline
body\nabla

gradient operator

LaTeX Math Inline
body--uriencoded--k(%7B\bf r%7D)

formation permeability to a given fluid

LaTeX Math Inline
body--uriencoded--%7B \bf g %7D

gravity vector

LaTeX Math Inline
body\mu

dynamic viscosity of a given  fluid

LaTeX Math Inline
body--uriencoded--%7B \bf u %7D

fluid velocity under Darcy flow 

LaTeX Math Inline
bodyq_k(t)

sandface flowrates of the

LaTeX Math Inline
bodyk
-th source

LaTeX Math Inline
body\Gamma

reservoir boundary

LaTeX Math Inline
bodyq_\Gamma(t)

flow through the reservoir boundary

LaTeX Math Inline
body\Gamma
, which is aquifer or gas cap

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