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Directional Drilling Calculators

Use 33 directional drilling petroleum engineering calculators with formulas, inputs, outputs, units, and source references.

Directional drilling calculations support survey interpretation, dogleg severity, build and turn planning, closure, displacement, and trajectory quality checks.

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Drilling EngineeringDirectional Drilling

Average Angle Survey Displacements

ΔN=ΔMDsin⁡(I1+I22)cos⁡(A1+A22)\Delta N=\Delta MD\sin\left(\frac{I_1+I_2}{2}\right)\cos\left(\frac{A_1+A_2}{2}\right)
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Balanced Tangential Survey Displacements

ΔN=ΔMD2(sin⁡I1cos⁡A1+sin⁡I2cos⁡A2)\Delta N=\frac{\Delta MD}{2}(\sin I_1\cos A_1+\sin I_2\cos A_2)
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Borehole Torsion by Cylindrical Helical Method

t=kh(1+2kv2k2)sin⁡(aπ180)cos⁡(aπ180)t=k_h\left(1+\frac{2k_v^2}{k^2}\right)\sin\left(\frac{a\pi}{180}\right)\cos\left(\frac{a\pi}{180}\right)
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Build or Drop Rate from Inclination Change

BUR=(I2−I1)100ΔMDBUR=\frac{(I_2-I_1)100}{\Delta MD}
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Build Rate Component from Dogleg Severity and Toolface

BUR=DLSreqcos⁡(TF)BUR=DLS_{req}\cos(TF)
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Build Section Measured Depth from Build Rate

ΔMD=I2−I1BUR/100\Delta MD=\frac{I_2-I_1}{BUR/100}
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Closure Distance and Direction

CD=N2+E2CD=\sqrt{N^2+E^2}
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Curvature Radius for a Borehole

R=180C3.1415kR=\frac{180C}{3.1415k}
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Directional Curvature for a Deviated Well

DC=Δϕ100ΔLDC = \Delta\phi\frac{100}{\Delta L}
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Dogleg Angle - Minimum Curvature Method

β=cos⁡−1[cos⁡I1cos⁡I2+sin⁡I1sin⁡I2cos⁡(A2−A1)]\beta=\cos^{-1}[\cos I_1\cos I_2+\sin I_1\sin I_2\cos(A_2-A_1)]
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Dogleg Severity - Minimum Curvature Method

DLS=βdeg100ΔMDDLS=\frac{\beta_{deg}100}{\Delta MD}
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EOU Clearance Distance for Wellbore Collision Avoidance

Eclear=CC−(Rref+Roff)E_{clear}=C_C-(R_{ref}+R_{off})
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Horizontal Section Inclination from Bed Dip and Thickness

Ih=90∘−dip−sin⁡−1(hresLh)I_h=90^\circ-dip-\sin^{-1}\left(\frac{h_{res}}{L_h}\right)
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Horizontal Wellbore Center-to-Center Separation

Sh=ΔN2+ΔE2S_h=\sqrt{\Delta N^2+\Delta E^2}
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Kickoff Point from Target TVD and Build Sections

KOP=TVDtarget−ΔTVDbuild1−ΔTVDtangent−ΔTVDbuild2KOP=TVD_{target}-\Delta TVD_{build1}-\Delta TVD_{tangent}-\Delta TVD_{build2}
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Maximum Slanted Well Length in Reservoir Thickness

L=hcos⁡(απ/180)L=\frac{h}{\cos(\alpha\pi/180)}
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Minimum Allowable Separation Distance from Separation Factor

MASD=SFmin(Rref+Roff)MASD=SF_{min}(R_{ref}+R_{off})
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Minimum Curvature Ratio Factor

RF=2βtan⁡(β2)RF=\frac{2}{\beta}\tan\left(\frac{\beta}{2}\right)
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Minimum Curvature Survey Displacements

ΔN=ΔMD2(sin⁡I1cos⁡A1+sin⁡I2cos⁡A2)RF\Delta N=\frac{\Delta MD}{2}(\sin I_1\cos A_1+\sin I_2\cos A_2)RF
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Projected Turn Rate from Azimuth Change

TR=(A2−A1)sin⁡(I1+I22)100ΔMDTR=\frac{(A_2-A_1)\sin\left(\frac{I_1+I_2}{2}\right)100}{\Delta MD}
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Radius of Curvature from Dogleg Severity

Rc=180πDLS100R_c=\frac{180}{\pi DLS}100
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Radius-of-Curvature Build Section Departure

ΔDEP=180ΔMD(cos⁡I1−cos⁡I2)π(I2−I1)\Delta DEP=\frac{180\Delta MD(\cos I_1-\cos I_2)}{\pi(I_2-I_1)}
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Radius-of-Curvature Build Section TVD Gain

ΔTVD=180ΔMD(sin⁡I2−sin⁡I1)π(I2−I1)\Delta TVD=\frac{180\Delta MD(\sin I_2-\sin I_1)}{\pi(I_2-I_1)}
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Required Dogleg Severity from Build and Turn Components

DLSreq=BUR2+TR2DLS_{req}=\sqrt{BUR^2+TR^2}
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Sliding Percentage from Required and Motor Dogleg Severity

Sslide=DLSreqDLSmotor100S_{slide}=\frac{DLS_{req}}{DLS_{motor}}100
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Tangential Survey Displacements

ΔN=ΔMDsin⁡I2cos⁡A2\Delta N=\Delta MD\sin I_2\cos A_2
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Target TVD Increase from Bed Dip and Departure

ΔTVDtarget=DEPtan⁡(dip)\Delta TVD_{target}=DEP\tan(dip)
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Three-Dimensional Wellbore Center-to-Center Separation

S3D=ΔN2+ΔE2+ΔTVD2S_{3D}=\sqrt{\Delta N^2+\Delta E^2+\Delta TVD^2}
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Toolface Angle from Build and Turn Components

TF=atan2⁡(TR,BUR)TF=\operatorname{atan2}(TR,BUR)
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Turn Rate Component from Dogleg Severity and Toolface

TR=DLSreqsin⁡(TF)TR=DLS_{req}\sin(TF)
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Vertical Curvature for Deviated Wells

VC=(Ib−Ia)100ΔLVC = (I_b - I_a)\frac{100}{\Delta L}
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Wellbore Separation Factor from EOU Radii

SF=CCRref+RoffSF=\frac{C_C}{R_{ref}+R_{off}}
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Wellbore Separation Ratio to Minimum Allowable Distance

RMASD=CCMASDR_{MASD}=\frac{C_C}{MASD}
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