(1) | \phi_e (p_i) \, c_t(p_i) \, p_i - \phi_e(p) \, c_t(p) \, p(t) = \frac{Q^{\uparrow}_t(t) - Q^{\downarrow}_t(t)}{A_e \cdot h_e} |
where
p(t) | formation pressure at time moment t |
p_i = p(0) | initial formation pressure |
\phi_e | effective porosity |
A_e | drainage area |
h_e | effective formation thickness |
Q^{\uparrow}_t(t) | cumulative Offtakes by the time moment t |
Q^{\downarrow}_t(t) | cumulative intakes by the time moment t |
See Also
Petroleum Industry / Upstream / Production / Subsurface Production / Field Study & Modelling / Production Analysis