DIRECTIONAL & HORIZONTAL DRILLING EQUATIONS TRIANGLES: Sin = Opp Hyp
Cos = Adj Hyp
Opp = Sin x Hyp
Tan = Opp Adj
Hyp = Opp Sin
Hyp = Adj Cos
Adj = Cos x Hyp
CIRCLES: Curvature or BUR = 5730 RC
RC = 5730 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
VBUR REQ REQ = 5730 x Sin Target INC – Sin Current Current Inc Target TVD – Current TVD
VBUR ACTUAL ACTUAL = (Cos TFO) x DL TOTAL
VBUR = 100 x (INC2 – INC1) MD2 – MD1
TVDDIP = Vertical Section x (Tan 90 + Dip) PBIT = MW x (GPM)2
TFANOZZLES = MW x (GPM)2 10859 (Pbit)
10859 (TFA) 2 HHP = Pbit x GPM 1714
DoglegOreinted =
HSI = HHP Area Hole
AREAHole = 0.7854 (Dia) 2
200 x Bit Tilt Length of Bit to Top Stabilizer
Angle Change = BUR x CL 100
CL = Angle Change x 100 BUR
BUR / 100’ = Change In Angle x 100 CL
DLS / FT = Angle Change 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 VS Add 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 100 To Find BUR 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 DLS
CL Distance = (NS)2 + (EW)2
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.
