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

Input(s)

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

ΔD\Delta D: Depth Interval (ft)

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

A: Thermal Expansion Coefficient (F1)\left({ }^{\circ} \mathrm{F}^{-1}\right)

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

Output(s)

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

Formula(s)

Δρi=(B)(gp)(ΔD)(A)(gT)(ΔD)\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.


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