# Drilling mud density (solid content analysis of drilling muds)

## Input(s)

$$\rho_{w}$$: Density of used Water (lb/gal)

$$f_{w}$$: Water Content Ratio of Drilling Mud (fraction)

$$\rho_{l g}$$: Density of Clay and Cuttings (lb/gal)

$$f_{l g}$$: Content Ratio of Clay and Cuttings in Drilling Mud (fraction)

$$\rho_{B}$$: Density of Barite (lb/gal)

$$f_{B}$$: Content Ratio of Barite (fraction)

$$\rho_{o}$$: Density of Oil that is used in Oil-based Muds (lb/gal)

$$f_{o}$$: Oil Content Ratio in Drilling Mud (fraction)

## Output(s)

$$\rho_{m}$$: Drilling Mud Density (lb/gal)

$$f_{s}$$: Total Solid Content Ratio in a Drilling Mud (fraction)

## Formula(s)

$\rho_{\mathrm{m}}=\rho_{\mathrm{w}} \mathrm{f}_{\mathrm{w}}+\rho_{\mathrm{lg}} \mathrm{f}_{\mathrm{lg}}+\rho_{\mathrm{B}} \mathrm{f}_{\mathrm{B}}+\rho_{\mathrm{o}} \mathrm{f}_{\mathrm{o}}$

For water-based muds

$\begin{gathered} \mathrm{f}_{\mathrm{w}}+\mathrm{f}_{\mathrm{lg}}+\mathrm{f}_{\mathrm{B}}=1 \\ \mathrm{f}_{\mathrm{s}}=\mathrm{f}_{\mathrm{lg}}+\mathrm{f}_{\mathrm{B}} \\ \mathrm{f}_{\mathrm{w}}=1-\mathrm{f}_{\mathrm{s}} \\ \mathrm{f}_{\mathrm{s}}=0.3125\left[\frac{\rho_{\mathrm{m}}}{8.33}-1\right]+0.5 \mathrm{f}_{\mathrm{lg}} \end{gathered}$

## Reference(s)

Altun, G., Drilling Fluids Lab, Course Notes, ITU Petroleum and Natural Gas Engineering, Istanbul, Turkey, 2013-2014. Experiment 3, Page: 1.

## Related

### Solid content ratio of drilling mud

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