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LaTeX Math Inline
bodyp_i = p(0)

initial formation pressure

LaTeX Math Inline
body\Delta Q (t)

full-field cumulative reservoir fluid balance

LaTeX Math Inline
bodyp^{\uparrow}_{wf}(t)

field-average BHP in producers

LaTeX Math Inline
bodyQ^{\uparrow}_t(t)

full-field cumulative offtakes by the time moment

LaTeX Math Inline
bodyt

LaTeX Math Inline
bodyp^{\downarrow}_{wf}(t)

field-average BHP in injectors

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

full-field cumulative intakes by the time moment

LaTeX Math Inline
bodyt

LaTeX Math Inline
body\phi_e(p)

effective porosity as function of formation pressure 

LaTeX Math Inline
bodyp(t)
 

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

full-field cumulative volumetric inflow from gas cap expansion

LaTeX Math Inline
bodyc_t(p)

total compressibilityas function of formation pressure 

LaTeX Math Inline
bodyp(t)
 

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

full-field cumulative volumetric inflow from aquifer expansion

LaTeX Math Inline
bodyJ^{\uparrow}_k

productivity index of

LaTeX Math Inline
bodyk
-th producer

LaTeX Math Inline
bodyQ^{\uparrow}_t(t)

cumulative offtakes from

LaTeX Math Inline
bodyk
-th producer by the time moment
LaTeX Math Inline
bodyt

LaTeX Math Inline
bodyJ^{\downarrow}_i

injectivity Index of

LaTeX Math Inline
bodyi
-th injector

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

cumulative intakes to

LaTeX Math Inline
bodyi
-th injector by the time moment
LaTeX Math Inline
bodyt

LaTeX Math Inline
bodyA_e

drainage area

LaTeX Math Inline
bodyh_e

effective formation thickness averaged over drainage area


In some specific cases MatBal equation cases equation 

LaTeX Math Block Reference
anchorMatBal
can be explicitly integrated:

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