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Drilling Operations and Economics Equations

Browse 13 drilling operations and economics petroleum engineering equations with formulas, inputs, outputs, units, and sources.

Drilling operations and economics calculations support penetration-rate checks, bit-run cost per foot, D-exponent surveillance, drilled-gas screening, rotating-power diagnostics, and specific-energy tracking.

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Drilling EngineeringDrilling Operations and Economics

Bit Run Drilling Cost per Foot

CT=B+CR(t+T)FC_T=\frac{B+C_R(t+T)}{F}
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Drilling EngineeringDrilling Operations and Economics

Control Drilling Maximum Drilling Rate

MDR=67(MWo−MWi)qDh2MDR=67(MW_o-MW_i)\frac{q}{D_h^2}
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Drilling EngineeringDrilling Operations and Economics

D-Exponent from Drilling Parameters

d=log⁡[R/(60N)]log⁡[12Wk/(1000Db)]d=\frac{\log[R/(60N)]}{\log[12W_k/(1000D_b)]}
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Drilling EngineeringDrilling Operations and Economics

Detailed Drilling Cost per Foot

Cd=Cb+Cto+Cm+(Td+Tt+Tc)(Cr+Cs+Ctr)FTdC_d=\frac{C_b+C_{to}+C_m+(T_d+T_t+T_c)(C_r+C_s+C_{tr})}{FT_d}
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Drilling EngineeringDrilling Operations and Economics

Drill-Rate Model Penetration Rate

R=K(Wdb)aWNaNR=K\left(\frac{W}{d_b}\right)^{a_W}N^{a_N}
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Drilling EngineeringDrilling Operations and Economics

Drilled Gas Entry Rate

qgsc=db2RϕSgp310zTq_{gsc}=\frac{d_b^2R\phi S_gp}{310zT}
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Drilling EngineeringDrilling Operations and Economics

Gas Mud Ratio from Drilled Gas

rm=db2RϕSgp310zTqmr_m=\frac{d_b^2R\phi S_gp}{310zTq_m}
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Drilling EngineeringDrilling Operations and Economics

Gas Portion Entry Rate from Rock Removal

qg=qrϕSgq_g=q_r\phi S_g
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Drilling EngineeringDrilling Operations and Economics

Hydromechanical Specific Energy

HMSE=WOBAb+120(3.142)NT+1154ηPbQAbROPHMSE=\frac{WOB}{A_b}+\frac{120(3.142)NT+1154\eta P_bQ}{A_bROP}
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Drilling EngineeringDrilling Operations and Economics

Mechanical Specific Energy

MSE=WOBAb+120πNTAbROPMSE=\frac{WOB}{A_b}+\frac{120\pi NT}{A_bROP}
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Drilling EngineeringDrilling Operations and Economics

Rock Removal Rate from Bit Diameter and ROP

qr=db2R11000q_r=\frac{d_b^2R}{11000}
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Drilling EngineeringDrilling Operations and Economics

Rotary-Speed Drill-Rate Model Penetration Rate

R=K′NaNR=K'N^{a_N}
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Drilling EngineeringDrilling Operations and Economics

Rotating Horsepower from Torque and Speed

RHP=TN5252RHP=\frac{TN}{5252}
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