Bit calculations
•
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This document provides formulas for calculating various metrics related to diamond drill bits used in drilling operations. It includes formulas to calculate the pressure drop and nozzle velocity across the bit based on flow rate and mud weight. It also provides formulas to calculate the total nozzle area, impact force of jet nozzles on the hole bottom, cross flow velocity under the bit, and mechanical specific energy using coefficients of friction and drill bit torque measurements.
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Bit Calculations
Reference
Where:
PD = Bit Pressure Drop (lbs/in2
)
WT = Mud Weight (ppg)
= Flow Rate (gpm)Q
AN
Vn
= Total Nozzle Area (in2
)
= Nozzle Velocity (ft/sec)
HHP = Horse Power at bit (hp)
HSI = Horse Power per inch (hp/in2
)
= Bit Diameter (in)D
Ab
lfb
= Area of Bit (in2
)
= Impact Force at bit (lbf)
= Cross Flow Velocity (ft/sec)V
N
E
µ
= Number of Nozzles
= Specific Energy (psi)
= Coefficient of Friction
ROP = Rate of Penetration (ft/hr)
WOB = Weight on Bit (lbf)
T = Torque (ft-lbs)
Ah = Area of Hole (in2
)
MSE = Mechanical Specific Energy (psi)
Cd = Nozzle discharge coefficient
Pressure Drop Across Bit (psi)
Calculated From Flow Rate, assumes Cd=1.0:
PD=
(WT)(Q2
)
(12,032)(AN2
)
Calculated From Velocity:
(WT)(V2
)
(1,239)
Bit Nozzle Velocity (ft/sec)
Calculated From Flow Rate:
VN = [
( 1,239)(PD)
]
1/2
(WT)
Total Bit Nozzle area (in2
)
Calculated From Bit Pressure Drop:
(12031)(PD)
AN = ∑(AN1
+ AN2
+ ...ANx
)
Impact of Jet Nozzles on Hole Bottom (lbf)
Calculated From Velocity:
lfb =
(Q)(WT)(VN)
(1930)
Calculated From Pressure Drop:
lfb = 0.0173Q [PD*WT] 1/2
Cross Flow Velocity under the Bit (ft/sec)
1/2
(ND)
Bit Aggressiveness/Coefficient of Friction
Units
Calculated From Pressure Drop:
Mechanical Specific Energy using µ (psi)
MSE = WOB
V = (0.321)
(Q)
Mechanical Specific Energy using Torque (psi)
2
480(T)(RPM) 1.274(WOB)
ROP(D) (D2
)
PD=
[
(WT)(Q2
)
]
1/2
AN=
[ ]V = 108.5) (Q)(V)
1 + (13.33)(µ)(RPM)
A (ROP)(D)[ ]
36 (T)
(WOB)(D)[µ = ]
MSE= +
(AN)](https://image.slidesharecdn.com/bit-calculations-200508161516/85/Bit-calculations-1-320.jpg)
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Bit calculations
- 1. 13635 Poplar Circle, Conroe, Texas 77304 TEL: 936-441-1220 · FAX: 936-588-1223 BESTEBITUSA@bestdiamondbit.com www.bestdiamondbit.com Bit Calculations Reference Where: PD = Bit Pressure Drop (lbs/in2 ) WT = Mud Weight (ppg) = Flow Rate (gpm)Q AN Vn = Total Nozzle Area (in2 ) = Nozzle Velocity (ft/sec) HHP = Horse Power at bit (hp) HSI = Horse Power per inch (hp/in2 ) = Bit Diameter (in)D Ab lfb = Area of Bit (in2 ) = Impact Force at bit (lbf) = Cross Flow Velocity (ft/sec)V N E µ = Number of Nozzles = Specific Energy (psi) = Coefficient of Friction ROP = Rate of Penetration (ft/hr) WOB = Weight on Bit (lbf) T = Torque (ft-lbs) Ah = Area of Hole (in2 ) MSE = Mechanical Specific Energy (psi) Cd = Nozzle discharge coefficient Pressure Drop Across Bit (psi) Calculated From Flow Rate, assumes Cd=1.0: PD= (WT)(Q2 ) (12,032)(AN2 ) Calculated From Velocity: (WT)(V2 ) (1,239) Bit Nozzle Velocity (ft/sec) Calculated From Flow Rate: VN = [ ( 1,239)(PD) ] 1/2 (WT) Total Bit Nozzle area (in2 ) Calculated From Bit Pressure Drop: (12031)(PD) AN = ∑(AN1 + AN2 + ...ANx ) Impact of Jet Nozzles on Hole Bottom (lbf) Calculated From Velocity: lfb = (Q)(WT)(VN) (1930) Calculated From Pressure Drop: lfb = 0.0173Q [PD*WT] 1/2 Cross Flow Velocity under the Bit (ft/sec) 1/2 (ND) Bit Aggressiveness/Coefficient of Friction Units Calculated From Pressure Drop: Mechanical Specific Energy using µ (psi) MSE = WOB V = (0.321) (Q) Mechanical Specific Energy using Torque (psi) 2 480(T)(RPM) 1.274(WOB) ROP(D) (D2 ) PD= [ (WT)(Q2 ) ] 1/2 AN= [ ]V = 108.5) (Q)(V) 1 + (13.33)(µ)(RPM) A (ROP)(D)[ ] 36 (T) (WOB)(D)[µ = ] MSE= + (AN)