Ultimate QC engineering calculators sag check →

Drilling engineering calculators

Nine calculators — from bit hydraulics to casing burst, MAASP and cement volumes. Free, instant, in the browser — nothing leaves your machine. Diameters in inches (rig convention), everything else metric. The formula behind every answer is printed under it, so you can check us — and for survey-grade calculations (BHA sag, anti-collision), the free sag check and the live service run the full models.

Bit TFA & jet velocity

Add a row per nozzle size in the bit — quantity × size in 32nds of an inch. TFA is the summed flow area; with a flow rate and mud weight you also get jet velocity, the pressure drop across the bit and hydraulic horsepower per square inch of bit.

qtysize /32"
TFA, in²
TFA, cm²
jet velocity, m/s
bit ΔP, bar
HSI, hp/in²
TFA = Σ n·π/4·(d/32)²  ·  v = Q/TFA  ·  ΔP = ρv²/(2·0.95²)  ·  HSI = ΔP·Q / (π/4·Dbit²)

Mud pump output

Triplex or duplex — liner size, stroke length, pump rate, volumetric efficiency.

per stroke, litres
output, l/min
output, m³/h
triplex: V = 3·π/4·D²·L·η  ·  duplex: V = 2·π/4·(2D² − drod²)·L·η  (in³ → litres × 0.016387)

Annular velocity

Uphole velocity of mud in the annulus — the number that carries cuttings.

annular velocity, m/min
m/s
annulus capacity, l/m
AV = Q / (π/4·(Dhole² − Dpipe²))

Hydrostatic pressure & ECD

Static mud column pressure at TVD — and the equivalent circulating density once annular pressure loss is added.

hydrostatic, bar
gradient, bar/10 m
ECD, SG
P = 0.0981·SG·TVD  ·  ECD = SG + APL/(0.0981·TVD)

Buoyancy factor & buoyed weight

What the string really weighs in mud — the same factor the sag model applies to every collar (how sag works →).

buoyancy factor
buoyed weight, t
BF = 1 − SGmud/7.85  ·  Wbuoyed = Wair·BF

Pipe & annular capacity

Litres per metre — for tripping volumes, kill sheets and displacement planning.

pipe capacity, l/m
annular capacity, l/m
pipe displacement (steel), l/m
cap = π/4·D²·(0.0254)²·1000 l/m  ·  displacement = π/4·(OD² − ID²)·…

Casing burst — internal yield (Barlow / API 5C3)

Minimum internal yield pressure of pipe body with the API 12.5% wall-tolerance factor. Design rating, not a substitute for the manufacturer's data sheet — collapse is regime-dependent and deliberately NOT approximated here.

burst, psi
burst, bar
D/t ratio
P = 0.875 · 2·Yp·t / OD

MAASP — max allowable annular surface pressure

What the weakest point (normally the shoe) allows at surface with the current mud in the hole — the number on every kill sheet.

MAASP, bar
MAASP, psi
kick margin, SG
MAASP = 0.0981·(EMWLOT − MW)·TVDshoe

Cement volumes & plug displacement

Open-hole annulus with excess, shoe track, and the mud volume that bumps the plug.

annulus + excess, m³
shoe track, m³
total slurry, m³
displacement to bump, m³
annulus = π/4·(Dhole²−OD²)·L·(1+excess)  ·  displacement = capacityID·depthFC