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A_e \, h_e \int_{p_i}^p \phi_e(p) \, c_t(p) \, dp = \Delta Q (t) = Q^{\downarrow}_t(t) - Q^{\uparrow}_t(t) |
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| initial formation pressure | ||||||||
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| 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 area | ||||||||
| effective formation thickness averaged over drainage area |
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p(t) = p_i + \frac{Q^{\downarrow}_t(t) - Q^{\uparrow}_tDelta Q(t)}{V_e \cdot c_t} |
where
| drainage volume |
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p(t) = p_i \exp \left[ \frac{Q^{\downarrow}_t(t) - Q^{\uparrow}_tDelta Q(t)}{V_e \cdot c_t} \right] |
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