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LaTeX Math Block
anchorMatBal
alignmentleft
\phi_e (p_i) \, c_t(p_i) \, p_i - \phi_e(p) \, c_t(p) \, p(t)  =  (A_e \cdot h_e)^{-1} \left[ frac{Q^{\uparrow}_t(t) - Q^{\downarrow}_t(t)}{A_e \right]cdot h_e}

where

LaTeX Math Inline
bodyp(t)

formation pressure at time moment

LaTeX Math Inline
bodyt

LaTeX Math Inline
bodyp_i = p(0)

initial formation pressure

LaTeX Math Inline
body\phi_e

effective porosity

LaTeX Math Inline
bodyA_e

drainage area

LaTeX Math Inline
bodyh_e

effective formation thickness

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

cumulative offtakes Offtakes by the time moment

LaTeX Math Inline
bodyt

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

cumulative intakes by the time moment

LaTeX Math Inline
bodyt

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