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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,p)

fluid density 

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

position vector

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

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,p)

total compressibility 

LaTeX Math Inline
body\delta ( \bf r )

Dirac delta function

LaTeX Math Inline
bodyq_k(t)

sandface flowrates of the

LaTeX Math Inline
bodyk
-th source

LaTeX Math Inline
body\nabla

gradient operator


LaTeX Math Inline
body
--uriencoded--%7B \bf u %7D
M = k / \mu
phase mobilityfluid velocity under Darcy flow 

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

gravity vector


LaTeX Math Inline
body
M =
k
/ \mu
formation permeability to a given fluidphase mobility

LaTeX Math Inline
body

k

--uriencoded--%7B \bf u %7D

fluid velocity under Darcy flow formation permeability to a given fluid


LaTeX Math Inline
body\mu
dynamic viscosity of a given  fluid



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