Incremental density in any wellbore interval (completion and workover fluids)

Input(s)

$g_{p}$: Pressure Gradient $(\mathrm{psi} / \mathrm{ft})$

$\Delta D$: Depth Interval (ft)

B: Pressure Compressibility Coefficient $(\mathrm{lbm} / \mathrm{gal} / 1000 \mathrm{psi})$

A: Thermal Expansion Coefficient $\left({ }^{\circ} \mathrm{F}^{-1}\right)$

$g_{T}$: Temperature Gradient $\left({ }^{\circ} \mathrm{F} / \mathrm{ft}\right)$

Output(s)

$\Delta \rho_{i}$: Incremental Wellbore Fluid Density Change $(\mathrm{lbm} / \mathrm{bbl})$

Formula(s)

$$ \Delta \rho_{i}=(B) \cdot\left(g_{p}\right) \cdot(\Delta D)-(A) \cdot\left(g_{T}\right) \cdot(\Delta D) $$

Reference(s)

Bridges, K. L. (2000). Completion and Workover Fluids (Vol. 19). Society of Petroleum Engineers, Page: 46.