Input Parameters

Enter flow rate, mud weight, and nozzle configuration

Enter nozzle sizes. Example: 12 = 12/32" = 3/8"

Target Ranges

  • Jet Velocity: 250-450 ft/s optimal
  • HSI: 2.5-5.0 hp/in2 recommended
  • Impact Force: Maximize for ROP
  • Bit Pressure Drop: 50-65% of system

Hydraulics Results

Enter parameters and click Calculate

Nozzle Size Reference

Size (32nds) Diameter (in) Area (in2)
100.31250.0767
110.34380.0928
120.37500.1104
130.40630.1296
140.43750.1503
160.50000.1963

Formula Reference

Total Flow Area (TFA)

TFA (in2) = Sum of (PI/4 x d^2) for each nozzle Where d = nozzle diameter (inches) = size/32

Jet Velocity

Vn = Q / (3.117 x TFA) Where: Vn = Jet velocity (ft/s) Q = Flow rate (gpm) TFA = Total flow area (in2)

Bit Pressure Drop

dP_bit = (MW x Q^2) / (10858 x TFA^2) Where: dP_bit = Pressure drop across bit (psi) MW = Mud weight (ppg) Q = Flow rate (gpm)

Impact Force

F_impact = (MW x Q x Vn) / 1930 Where F_impact = Impact force (lbf)

Hydraulic Horsepower at Bit

HHP_bit = (dP_bit x Q) / 1714 HSI = HHP_bit / Bit_Area (in2)