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Equivalent circulating density (ECD)

The density equivalent to the bottomhole (or shoe) pressure while circulating: the static mud column plus the annular friction loss above that point.

Formula
ECD = ρ + ΔP_a / (g · H)P_c = ρ · g · H + ΔP_a

ECD at the shoe and in the open hole must stay below the fracture (loss) equivalent density. Cuttings loading, temperature and mud compressibility are not included; tripping adds surge and swab pressures.

Source: API RP 13D, Rheology and Hydraulics of Oil-well Fluids; Bourgeois et al., Applied Drilling Engineering (SPE, 1986), ch. 4

Inputs

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

ρ
ΔP_a

Above the point considered: from the hydraulics program or a PWD reading.

H

The bottom or the casing shoe.

Unit converter for this formulaDensity and °API · Pressure · Length · Pressure gradient and equivalent density
Metric
  • kg/m³850
  • g/cm³0.85
  • t/m³0.85
  • rel. (water 4 °C)0.850024
US field units
  • lb/ft³53.0638
  • lb/gal (ppg)7.09359
  • SG (60/60 °F)0.850837
  • °API34.8068

°API and SG refer to the density at 60 °F (15.6 °C) relative to water at 60 °F, relative density to water at 4 °C. The oil's thermal expansion between the measurement temperatures is not included. °API = 141.5 / SG − 131.5.

All units
Result
ECDEquivalent circulating density
Fill in all fields
  • P_cCirculating pressure at depth H

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.