By definition, the isothermal compressibility of a substance is defined mathematically by the following expressions:
- In terms of fluid volume:
- In terms of fluid density:
where V and ρ are the volume and density of the fluid, respectively.
For a crude oil system, the isothermal compressibility coefficient of the oil phase co is defined for pressures above the bubble-point by one of the following equivalent expressions:
where
- co = isothermal compressibility, 1/psi
- ρo = oil density lb/ft^3
- Bo = oil formation volume factor, bbl/STB
where Bg = gas formation volume factor, bbl/scf
Ahmed (2001)