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

 A_e \int_{p_i}^p \phi_e(p) \, c_t(p) \, dp  = \frac{Q^{\uparrow}_t(t) - Q^{\downarrow}_t(t)}{}

where

	initial formation pressure
	effective porosity as function of formation pressure
	total compressibility as function of formation pressure
	drainage area
	effective formation thickness
	cumulative offtakes by the time moment
	cumulative intakes by the time moment

\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}

See Also