(1) | \phi_e (p_i) \, c_t(p_i) \, p_i - \phi_e(p) \, c_t(p) \, p(t) = (A_e \cdot h_e)^{-1} \left[ q_t - B_w q_{WI} - B_g q_{GI} \right] |
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_t | total sandface flowrate q_t = B_w \, q_W + (B_o - R_s \, B_g) \, q_O + (B_g - R_v \, B_o) \, q_G |
See Also
Petroleum Industry / Upstream / Production / Subsurface Production / Field Study & Modelling / Production Analysis