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which closes equation 

LaTeX Math Block Reference
anchorMatBal
 for the pressure 
LaTeX Math Inline
bodyp(t)
.

Variations

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In some specific cases equation 

LaTeX Math Block Reference
anchorMatBal
can be explicitly integrated:

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 \cdot c_t} \right]


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LaTeX Math Inline
bodyV_e = A_e \, h_e \, \phi_e

drainage volume


This allows using simple graphical methods for estimating drainage volume 

LaTeX Math Inline
bodyV_e
.


See Also

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Petroleum Industry / Upstream /  Production / Subsurface Production / Field Study & Modelling / Production Analysis / Material Balance Analysis (MatBal)

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