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Weighting up, diluting and blending fluids

How much weighting material (barite, hematite, calcium carbonate), water or another fluid to add to bring the mud to the required density, and the final volume.

Formula
V_a = V_1 · (ρ_2 − ρ_1) / (ρ_a − ρ_2)m_a = ρ_a · V_aV_2 = V_1 + V_a

Volumes of insoluble weighting materials and of water add up; dissolving salts shrinks the volume, so take brine densities from tables. The required density must lie between those of the mud and of the additive. The Kazakhstan industrial safety rules (item 85-7) require weighting up while circulating the whole volume, not in separate batches.

Source: Ideal mixing mass balance: Bourgeois et al., Applied Drilling Engineering (SPE, 1986), ch. 2; weighting material densities per API Spec 13A

Inputs

You can change a field's unit: the value is converted to the formula's units automatically.

V_1
ρ_1
ρ_2
ρ_a

Barite 4.2 g/cm³, hematite 5.05, calcium carbonate 2.7, water 1.0; when blending two fluids, the density of the second one.

Unit converter for this formulaLiquid volume · Density and °API · Mass
Metric
  • 1
  • 10³ m³0.001
  • 10⁶ m³1·10⁻⁶
  • L1,000
US field units
  • bbl6.28981
  • Mbbl0.00628981
  • MMbbl6.28981·10⁻⁶
  • ft³35.3147
  • US gal264.172
All units
Result
m_aMass of weighting material (additive)
Fill in all fields
  • V_aVolume added
  • V_2Final volume

More in Pressures and drilling fluid

Results are engineering estimates from standard formulas; for design decisions check them against the codes, project documents and specialists' calculations. The formulas carried over from the original set are unchanged, and their errors are described in the notes.