Modelling facility for formation pressure  at any time moment  as response to production flowrates history:

\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

initial formation pressure

effective porosity

drainage area

effective formation thickness

cumulative offtakes by the time moment

cumulative intakes by the time moment



See Also


Petroleum Industry / Upstream /  Production / Subsurface Production / Field Study & Modelling / Production Analysis

Material Balance Analysis (0D or MatBal)