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InputsOutputs

LaTeX Math Inline
bodyp(t)

field-average formation pressure at time moment

LaTeX Math Inline
bodyt

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

Cumulative subsurface water influx from aquifer

LaTeX Math Inline
bodyp_i

initial formation pressure

LaTeX Math Inline
bodyq^{\downarrow}_{AQ}(t) = \frac{dQ^{\downarrow}_{AQ}}{dt}

Subsurface water flowrate from aquifer

LaTeX Math Inline
bodyJ_{AQ}

aquifer Productivity Index


Assumptions

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LaTeX Math Block
alignmentleft
J_{AQ} = \frac{q_{AQ}}{p_{AQ}(t)-p(t)} = \rm const
Pseudo Steady State Flow
LaTeX Math Block
alignmentleft
p_{AQ}(t) = p_i - \frac{Q_{AQ}(t)}{V_{AQ} \cdot c_t}
Fig. 1. Fetkovich aquifer drive schematic
Radial Composite Reservoir

Image Modified

Const Productivity Index Aquifer
Steady-state flow


Aquifer pressure is constant

LaTeX Math Inline
bodyp_{AQ}(t)=p_i = \rm const

Aquifer
pressure
Productivity Index is constant

LaTeX Math Inline
bodyJ_{AQ} = \rm const

Aquifer Productivity Index is constant





Fig. 1. Schilthuis aquifer drive schematic


Equations

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LaTeX Math Block
anchor1
alignmentleft
Q^{\downarrow}_{AQ}(t) = J_{AQ} \cdot \left[ p_i \cdot t  - \int_0^t p(t) dt \right]



LaTeX Math Block
anchor1
alignmentleft
q^{\downarrow}_{AQ}(t) = J_{AQ} \cdot (p_i - p(t))


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