Motivation
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Inputs & Outputs
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| field-average formation pressure at time moment
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| Cumulative subsurface water influx from aquifer | ||||||||||||
| initial formation pressure |
| Subsurface water flowrate from aquifer | ||||||||||||
| aquifer Productivity Index | ||||||||||||||
| aquifer relaxation time | ||||||||||||||
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| aquifer transmissibility | ||||||||||||||
| aquifer total compressibility | ||||||||||||||
| aquifer volume | ||||||||||||||
| aquifer area | ||||||||||||||
| pay area | ||||||||||||||
where
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\frac{d Q_{WAQ}}{dt} = J(t) \cdot ( p_i - p(t)) |
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J(t) = \frac{4 \pi \sigma}{ \ln \frac{1.781 \cdot A_e^2}{ 4 \pi \chi t} } |
where
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| aquifer productivity index at time moment
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| initial formation pressure | ||||||||
| field-average formation pressure at time moment
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| aquifer transmissibility | ||||||||
| aquifer diffusivity |
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Assumptions
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| Infinite Acting Radial Flow Aquifer | Slow variation |
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of water influx
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in time | ||||||||
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Equations
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