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LaTeX Math Inline
bodyp_i = p(0)

LaTeX Math Inline
body\Delta Q (t)

LaTeX Math Inline
bodyA_e

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

full-field cumulative offtakes by the time moment

LaTeX Math Inline
bodyt

LaTeX Math Inline
bodyh_e

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)

cumulative volumetric inflow from Gas Cap Expansion

LaTeX Math Inline
bodyc_t(p)


total compressibility as function of formation pressure 

LaTeX Math Inline
bodyp(t)

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

cumulative volumetric inflow from Aquifer Expansion

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LaTeX Math Block
anchorMatBal
alignmentleft
 A_e \, h_e \int_{p_i}^p \phi_e(p) \, c_t(p) \, dp  = \Delta Q (t) =  Q^{\downarrow}_t(t) - Q^{\uparrow}_t(t) + Q^{\downarrow}_{GC}(t) + Q^{\downarrow}_{WAQAQ}(t)


The MatBal equation 

LaTeX Math Block Reference
anchorMatBal
  is often complemented by constant PI  model of Bottom-Hole Pressure (
LaTeX Math Inline
bodyp^{\uparrow}_{wf}(t)
 for producers and 
LaTeX Math Inline
bodyp^{\downarrow}_{wf}(t)
 for injectors):

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