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R-4 Surface Equiptment Descriptions
R-5 Surface Equiptment Pressure Losses
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R-6 Drill Pipe Bore Pressure Losses
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R-7 Drill Pipe Annular Pressure Losses
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R-8 Drill Collar Pressure Losses
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R-9 Drill Collar Annular Pressure Losses
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R-10 Selection Of Jet Nozzle Size
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R-11 Calculation Of Jet Velocity
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R-12 Discharge Area Of Jet Nozzles
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R-13-1 Equations Used in Hydraulic Calculations
1 Annular Velocity See Nomenclature
2 Surface Equipment Pressure Losses See Nomenclature
where 0.15 < C < 1.0; See C and Surface Equipment Type
3 Drill Stem Bore Pressure Losses See Nomenclature
4 Jet Nozzle Pressure Losses See Nomenclature
5 Annular Pressure Losses (Turb Flow) See Nomenclature
6 Jet Velocity See Nomenclature
7 Jet Impact Force See Nomenclature
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8 Hydraulic Horsepower See Nomenclature
A Bit Selection Equations
A1 Cost per foot 13-8 Nomenclature for Equations
A2 Breakeven time, at constant rate of penetration
B Bit Weight-Rotational Speed Equations
B3 Drilling rate (soft formation) 13-8 Nomenclature for Equations
B4 Drilling rate (hard formation)
B5 Bit size versus penetration rate
a Up to 17-1/2":
b 17-1/2" to 36":
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B6 Bearing Wear Constant
7 Tooth Wear Constant
8 Mechanical Horsepower at Bit
9 Bit Weight-rpm Relationship to Bit Pressure Drop
9a From Fullerton, for (Wb x R) < 250
9b for 250 < (Wb x R) < 350
9c for (Wb x R) > 350
13-8 Nomenclature for Equations
C Hydraulic Calculation Equations
C10 Drill stem bore pressure losses (turbulent flow)
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C10a From Fanning
C10b From Security
C10c From Smith Tool
C11 Bit Hydraulic Horsepower
C12 Jet Nozzle Pressure Loss
C13 Total Nozzle Area
C14 Jet Velocity
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C15.Jet Impact Force
C16 Bottom Hole Pressure
C17 Bottom Hole Circulating Pressure
C18 Annular Pressure Losses
C18a From Hagan-Poiseuille for Newtonian Laminar Flow
C18b From Beck, Nuss and Dunn for Plastic Laminar Flow
C18c From Fanning, Turbulant Flow
C18d From Security, Turbulent Flow
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C18e From Smith Tool, turbulent flow
C19 Equivalent circulating density
C20 Renolds' number 13-8 Nomenclature for Equations
C20a Newtonian fluids
C20b Plastic fluids (to determine "f")
C21 Average annulus flow velocity
C22 Annulus critical velocity
C23 Optimum annular velocity from fullerton 13-8 Nomenclature for Equations
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C24 Optimum flow rate
C24a From Fullerton
C24b From Fullerton
C25 Rock chip slip velocity
C25a From Stokes, laminar flow, spherical chips
C25b From Pigott, laminar flow, spherical chips
C25c From Rittinger, turbulent flow, spherical chips
C25d From Pigott, turbulent flow, flat chips
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C26 Effective viscosity
C26a Viscosity definition
C26b Bingham Plastic
C26c Shear stress, Power law fluids 13-8 Nomenclature for Equations
C26d Effective viscosity, Power law
C26e Annular shear rate
C26f Consistency Index
C26g Power law index
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27 Total system losses or pump discharge pressure 13-8 Nomenclature for Equations
D Drilling Fluid Property Equations
28 Effects of plastic viscosity 13-8 Nomenclature for Equations
29 Bentonitic clay effects
30 Effects of water loss
31 Oil content effects (Vol % Oil < 30 %)
32 Total drilling fluid effects (density, viscosity, solids, pressure loss)
For depths from 8,000 feet to 12,000 feet
33 From Fullerton, density effects
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R-13-8 Nomenclature for Equations - Smith Int.
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R-13-9 Nomenclature and Terminology
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R-13-10 Pipe Flow Equations
Average Velocity, ft/min EQN - 6.1
Critical Velocity, ft/sec EQN - 6.2
Determine DP using EQNs 6.3 & 6.4 Use lowest value! - HAK
Laminar Flow, psi EQN - 6.3
Turbulent Flow, psi EQN - 6.4
R-13-11 Annular Flow Equations
Average Velocity, ft/min EQN - 6.5
Critical Velocity, ft/see EQN - 6.6
Determine DP using EQNs 6.7 & 6.8 Use lowest value! - HAK
Laminar Flow, psi EQN - 6.7
Turbulent Flow, psi EQN - 6.8
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Note: Calculations based on Bingham Plastic Fluid
R-13-12 Bit Hydraulic Calculations
Area of one Nozzle, sq ins EQN - 6.9a
Total Area, sq ins EQN - 6.9b
Nozzle Velocity, ft/sec EQN - 6.10
Bit Pressure Loss, psi EQN - 6.11
Hydraulic Horsepower per Square Inch EQN - 6.12
Impact Force, lbs EQN - 6.13
Note: Calculations based on Bingham Plastic Fluid
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R-13-13 Chip Rate Calculations
Slip Velocity, ft/min EQN - 6.14
Chip Rate EQN - 6.15 ft/min
Note: Calculations based on Bingham Plastic Fluid
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R-13-14 Completed Work Sheet
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R-13-15 Blank Work Sheet
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Table of Contents - Chapter T
Trang 99inter-It is not intended that the contents of this manual replace or take precedence over manufacturer's, operators orindividual drilling company recommendations, policies and/or procedures In those areas where local, state andfederal law is in conflict with the contents then it is deemed appropriate to adhere to suer laws IADC has endeav-ored to insure the accuracy and reliability of this data, however, we make no warranties or guarantees in connec-tion with these recommendations.
As technology continues to develop this manual will be updated It is important that the user continue to updatetheir knowledge through research and study
This chapter was updated under the direction of Mr Mickey Thomas and Mr Charles George of HalliburtonServices Division of the Halliburton Company