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Excerpt Include
Aquifer Drive
Aquifer Drive
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Inputs & Outputs

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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


Physical Model

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Radial Composite Reservoir

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Steady-state flow


Aquifer pressure is constant

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

Aquifer Productivity Index is constant

LaTeX Math Inline
bodyJ_{AQ} = \rm const





Fig. 1. Schilthuis aquifer drive schematic

Mathematical Model

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


It maybe considered as partial case of Fetkovich PSSAquifer Drive @model with infinite Aquifer volume. 

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