Approximation of Material Balance Pressure @model for slightly compressibility flow:
| (1) | p(t) = p_i + \frac{\Delta Q(t)}{V_\phi \cdot c_t} |
where
\Delta Q(t) | Cumulative Voidage Replacement Balance (CVRB) over time t |
V_\phi = V \cdot \phi_i | initial drainage volume of the main pay (excluding the aquifer and gas cap) |
\phi_i = \phi(p_i) | initial porosity |
c_t = c_\phi + c_o \, s_{oi} + c_g \, s_{gi} + c_w \, s_{wi} | total compressibility |
c_\phi | pore compressibility |
s_{wi} | initial water saturation |
s_{gi} | initial gas saturation |
s_{oi} | initial oil saturation: s_{oi} = 1 - s_{wi} - s_{gi} |
c_o, \, c_g, \, c_w | fluid compressibility of water phase, oil phase and gas phase |
See Also
Petroleum Industry / Upstream / Production / Subsurface Production / Field Study & Modelling / Production Analysis / Material Balance Analysis (MatBal) / Material Balance Pressure @model
[ Derivation of Slightly compressible Material Balance Pressure @model ]