Pipe capacity and displacement
Internal volume per metre and for the whole string, metal (open-end) and closed-end displacement — for the trip sheet: hole fill when pulling and returns when running in.
C = π/4 · d²C_m = π/4 · (D² − d²); C_ce = π/4 · D²V = C · L; V_m = C_m · L; V_ce = C_ce · LMetal displacement is for the pipe body. Tool joints add roughly 15–25 % for drill pipe, couplings 1–6 % for tubing and casing; for an accurate trip sheet use table values or the weight per metre with joints: kg/m ÷ 7.85 = L/m. Pulling an open string, fill the metal volume; pulling with a closed end (float, wet string), fill the closed-end displacement.
Source: Pipe geometry; sizes per API Spec 5DP (drill pipe), GOST 633-80 (tubing), GOST 632-80 (casing)
Inputs
You can change a field's unit: the value is converted to the formula's units automatically.
Unit converter for this formulaLength · Volume per length (capacity) · Liquid volume
- m1
- cm100
- mm1,000
- km0.001
- ft3.28084
- in39.3701
- 1/32 in1,259.84
- 1/64 in2,519.69
- mile0.000621371
- V — Internal volume of the string–
- C_m — Metal (open-end) displacement–
- C_ce — Closed-end displacement–
- V_m — Metal volume of the string–
- V_ce — Closed-end displacement of the string–
More in Drill string and volumes
Volume per metre and over an interval of the annulus between the hole (or casing) and the pipe.
String weight in air and in mud (buoyancy factor) for one or two pipe sections, and the hook load including the travelling block and top drive.
Fast-line and dead-line tension, derrick load and the rope breaking strength needed to lift the string on n lines, allowing for the efficiency of the block and tackle.
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.