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In some specific cases equation 

LaTeX Math Block Reference
anchorMatBal
can be explicitly integrated with the accuracy sufficient for practical applications:

Slightly compressibility flow

Low pressure dry gas

LaTeX Math Inline
body\{ \phi_e = {\rm const}, \ c_t = {\rm const} \}

LaTeX Math Inline
bodyc_t = c_r + \frac{1}{p} \sim \frac{1}{p}

LaTeX Math Block
anchorQ6XP7
alignmentleft
p(t)  = p_i + \frac{\Delta Q(t)}{V_e \cdot c_t}
LaTeX Math Block
anchor3J3AD
alignmentleft
p(t)  = p_i \exp \left[ \frac{\Delta Q(t)}{V_e} \right]

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