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A_e hV_e \int_{p_i}^p \phi_e(p) \, c_t(p) \, dp = Q^{\uparrow}_t(t) - Q^{\downarrow}_t(t) |
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| initial formation pressure | ||||||||
| cumulative offtakes by the time moment
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| cumulative intakes by the time moment
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| effective porosity as function of formation pressure
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| drainage | areavolume | |||||||
| h
| effective formation thickness averaged over drainage area | |||||||
| Q^{\uparrow}_t(t) | cumulative offtakes by the time moment
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| cumulative intakes by the time moment
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| effective formation thickness averaged over drainage area |
For low compressibility rocks and fluids
| LaTeX Math Inline | ||
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| LaTeX Math Block Reference | ||
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p(t) = p_i - \frac{Q^{\uparrow}_t(t) - Q^{\downarrow}_t(t)}{AV_e \cdot h_e \cdot \phi_e \cdot c_t} |
See Also
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