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(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

Material Balance Analysis (0D or MatBal)

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