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.