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\frac{\partial (\rho_A \, \phi) }{\partial t} + \nabla (\rho_A \, {\bf u}_A) = 0
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\int_V \, \frac{\partial (\rho_A \, \phi) }{\partial t} \, dV = - \int_V \, \nabla (\rho_A \, {\bf u}_A) \, dV = - \int_{\partial V} \, \rho \, {\bf u}_A \, d {\bf A}
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V \cdot (\rho_A \, \phi) = \delta \, m_A
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V \cdot \left( \phi \, \sum_\alpha \rho_{A,\alpha} \, s_\alpha \right) = \mathring{\rho}_A \cdot \delta \, m q_A \rightarrow \left( \phi \, \sum_\alpha \frac{\rho_{A,\alpha}}{\mathring{\rho}_A} \, s_\alpha \right) =  V^{-1} \cdot \delta \, q_A












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special@self





LaTeX Math Inline
body--uriencoded--\phi_n(p) = \phi_e(p)/\phi_%7Bei%7D

normalized porosity

LaTeX Math Inline
body\phi(p) =

effective porosity as function of formation pressure 

LaTeX Math Inline
bodyp(t)
 

LaTeX Math Inline
bodyQ^{\downarrow}_{GC}(t)

cumulative gas influx from Gas Cap Expansion

LaTeX Math Inline
body--uriencoded--\phi_%7Bei%7D = \phi_e(p_i)
 

initial effective porosity



LaTeX Math Inline
bodyQ^{\downarrow}_{AQ}(t)

cumulative water influx from Aquifer Expansion



LaTeX Math Inline
bodyR_{sp}, \; R_{vp}


Initial water saturation

LaTeX Math Inline
bodyRFO, \, RFG

Oil and Gas Recovery Factor



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