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There is a list of various analytical analytical Aquifer Drive and  Gas Cap Drive drive models  drive models which are normally based on the relationsrelated to pressure dynamics 

LaTeX Math Inline
bodyp(t)
:

Gas Cap Drive @model Aquifer Drive @model


LaTeX Math Block
anchor1
alignmentleft
Q^{\downarrow}_{GC}(t) = 
F
Q^{\downarrow}_{GC}(p(t))



LaTeX Math Block
anchor1
alignmentleft
Q^{\downarrow}_{AQ}(t) = 
F
Q^{\downarrow}_{AQ}(p(t))


Variations

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In some specific cases equation 

LaTeX Math Block Reference
anchorMatBal
can be explicitly integrated:

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