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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





LaTeX Math Inline
body\tau

aquifer relaxation time
Detailing Inputs

LaTeX Math Inline
body\displaystyle J_{AQ} = \frac{2 \pi \sigma}{\ln \frac{A_{AQ}}{A_e}+0.75}


LaTeX Math Inline
body\sigma

aquifertransmissibility

LaTeX Math Inline
bodyA_e

oil pay area

LaTeX Math Inline
bodyA_{AQ}

aquifer area

LaTeX Math Inline
body\displaystyle \tau = \frac{V_{AQ} \, c_t}{J_{AQ}}


LaTeX Math Inline
bodyc_t=c_r +c_w

aquifer total compressibility

LaTeX Math Inline
bodyV_{AQ} = A_e \cdot h_e \cdot \phi

aquifer volume

LaTeX Math Inline
bodyh_e

aquifer effective thickness

LaTeX Math Inline
body\phi_e

aquiferporosity


Assumptions

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Const Productivity Index Aquifer

Pseudo Steady State Flow


LaTeX Math Inline
bodyJ_{AQ} = \rm const



LaTeX Math Block
alignmentleft
p_{AQ}(t) = p_i - \frac{Q_{AQ}(t)}{V_{AQ} \cdot c_t}


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