DIRECTIONAL & HORIZONTAL DRILLING EQUATIONS

TRIANGLES:

Sin = Opp Cos = Adj Tan = Opp Hyp = Opp Hyp = Adj Hyp Hyp Adj Sin Cos

Opp = Sin x Hyp Adj = Cos x Hyp

CIRCLES:

Curvature or BUR = 5730 RC = 5730 RC BUR

TVD = RC x (Sin INC2 – Sin INC1) VS = RC x (Cos INC1 – Cos INC2)

MD = RC x 2 x Pi x (INC2 – INC1) = RC x (INC2-INC1)360 57.3

VBURREQ = 5730 x Sin Target INC – Sin Current Inc Target TVD – Current TVD

VBUR = 100 x (INC2 – INC1) VBURACTUAL = (Cos TFO) x DLTOTAL

MD2 – MD1

TVDDIP = Vertical Section x (Tan 90 + Dip)

PBIT = MW x (GPM) 2 TFANOZZLES = MW x (GPM) 2 10859 (TFA)2 10859 (Pbit)

HHP = P bit x GPM HSI = HHP AREAHole = 0.7854 (Dia)2

1714 Area Hole

DoglegOreinted = 200 x Bit Tilt Length of Bit to Top Stabilizer

Angle Change = BUR x CL CL = Angle Change x 100100 BUR

BUR / 100’ = Change In Angle x 100 DLS / FT = Angle Change CL CL

Projected TVD @ Bit = RC x(Sin INC2 – Sin INC1) + Existing TVD

BUR Needed to Target = (Sin Desired Angle – Sin Present Angle) x 5730______________ (Target TVD – Current TVD)

DLS / 100’ = (Cos last INC x Cos new INC) + (Sin last INC x Sin new INC) x Cos Directional Difference = Cos-1 x 100 CL

Projected Angle Needed to Reach Target = Target TVD – Present TVD = Arc Tangent of Angle. Usable VSAdd to 90 deg. if Angle is over 90 deg. Subtract if Angle is under 90 deg.

Usable VS = Target VS – Present VS

Projected BUR From TF Setting = BUR = Cos Avg. TF x DL

Projected MD = Target INC – Last INC DLS/Ft

To Find CL When You Know BUR & Angle Needed = Angle Needed BUR = CL 100To FindBUR When You Know The TVD, INC1 & INC2 = 5730 / _ TVD (usable)____ Sin INC2 – Sin INC1

CL Angle = Divide by N or S to Get Tangent of Angle (Inv. Tangent-1)

CL Distance = Take CL Angle if over 45 deg Find Sin of Angle & Divide it into the Largest Coordinate to get Distance. If Angle is Below 45 deg Use Cos of Angle & Divide it into the Largest Coordinate.

TF Setting = Angle Change Arc Cos CL Distance = (NS)2 + (EW)2

DLS

Formation Dip in Feet = Tangent of Formation Dip x VS

Bit Angle Projection = Take BUR of Last Survey x CL Divide by 100 = Angle change. Add Angle Change to Last Survey.

Bit Direction Projection = Take the Difference of Last 2 Surveys Divide by CL of Last Survey = Direction Change per Foot x Projected CL. Then Add or Subtract From Last Survey Direction.