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Drillstring and Rig Mechanics Equations

Browse 17 drillstring and rig mechanics petroleum engineering equations with formulas, inputs, outputs, units, and sources.

Drillstring and rig mechanics calculations support hoisting-load checks, drillpipe length limits, weight-on-bit planning, buoyancy, and BHA load screening.

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Drilling EngineeringDrillstring and Rig Mechanics

Bottomhole Assembly Length for Desired Weight on Bit

L=WbfWdBFL=\frac{W_bf}{W_dBF}
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Drilling EngineeringDrillstring and Rig Mechanics

Coring Operation Ton Miles

Tc=2(T4−T3)T_c=2(T_4-T_3)
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Drilling EngineeringDrillstring and Rig Mechanics

Crown Block Capacity

Rc=(H1+S)(n+2)nR_c=\frac{(H_1+S)(n+2)}{n}
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Drilling EngineeringDrillstring and Rig Mechanics

Drilling and Connection Ton Miles

TD=3(T2−T1)T_D=3(T_2-T_1)
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Drilling EngineeringDrillstring and Rig Mechanics

Drillstring Buoyancy Factor from Mud Weight

BF=65.5−MW65.5BF=\frac{65.5-MW}{65.5}
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Drilling EngineeringDrillstring and Rig Mechanics

Effective Drillstring Weight During Drilling

wo=ws(1−ρoρs)w_o=w_s\left(1-\frac{\rho_o}{\rho_s}\right)
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Drilling EngineeringDrillstring and Rig Mechanics

Efficiency of Block and Tackle System

Ebt=FhvtFfvfE_{bt}=\frac{F_hv_t}{F_fv_f}
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Drilling EngineeringDrillstring and Rig Mechanics

Maximum Equivalent Derrick Load

Fde=(n+4n)FhF_{de}=\left(\frac{n+4}{n}\right)F_h
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Drilling EngineeringDrillstring and Rig Mechanics

Maximum Length of Drillpipe for a Specific Bottomhole Assembly

Lm=[(Tf)−MOP−Wb]BFWdL_m=\frac{[(Tf)-MOP-W_b]BF}{W_d}
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Drilling EngineeringDrillstring and Rig Mechanics

Maximum Weight on Bit

WOB=LdWdBFcos⁡(απ/180)SFWOB=\frac{L_dW_dBF\cos(\alpha\pi/180)}{SF}
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Drilling EngineeringDrillstring and Rig Mechanics

Round Trip Ton Miles

RTTM=WpD(Lp+D)+2D(2Wb+Wc)5280⋅2000RT_{TM}=\frac{W_pD(L_p+D)+2D(2W_b+W_c)}{5280\cdot2000}
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Drilling EngineeringDrillstring and Rig Mechanics

Setting Casing Ton Miles

Tc=0.5[WpD(Lcs+D)+DWb]5280⋅2000T_c=\frac{0.5\left[W_pD(L_{cs}+D)+DW_b\right]}{5280\cdot2000}
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Drilling EngineeringDrillstring and Rig Mechanics

Short Trip Ton Miles

TST=T6−T5T_{ST}=T_6-T_5
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Drilling EngineeringDrillstring and Rig Mechanics

Stretch Force from Elastic Elongation

F=AE(La−LbLb)F=AE\left(\frac{L_a-L_b}{L_b}\right)
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Drilling EngineeringDrillstring and Rig Mechanics

Stuck Pipe Free Point from Pipe Stretch - Method 1

hf=SfpcPFh_f=\frac{Sfpc}{PF}
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Drilling EngineeringDrillstring and Rig Mechanics

Stuck Pipe Free Point from Pipe Stretch - Method 2

hf=735294eWdpPdh_f=\frac{735294eW_{dp}}{P_d}
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Drilling EngineeringDrillstring and Rig Mechanics

Traveling Block Speed from Fast Line Speed

vtb=vfnv_{tb}=\frac{v_f}{n}
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