Description

Book Synopsis
Explains how to apply time-tested engineering design methods when developing equipment and systems for oil industry and drilling applications Although specific requirements and considerations must be incorporated into an engineering design for petroleum drilling and production, the approach for developing a successful solution is the same across many engineering disciplines. Engineering Practice with Oilfield and Drilling Applications helps readers understand the engineering design process while demonstrating how basic engineering tools can be applied to meet the needs of the oil and petroleum industry. Divided into three parts, the book opens with an overview of best practices for engineering design and problem solving, followed by a summary of specific mechanical design requirements for different modes of power generation, transmission, and consumption. The book concludes with explanations of various analytical tools of design and their application in vibration analysis, fluid mecha

Table of Contents

Preface xxi

Nomenclature xxiii

Part I Engineering Design and Problem Solving 1

1 Design and Problem Solving Guidelines 3

Design Methodology 3

Market Analysis 5

Operational Requirements 5

Product Development 6

Government Procurement Procedure 6

Petroleum Industry Procedure 6

Design Specifications 7

Specification Topics 7

Performance Requirements 7

Sustainability 7

Codes and Standards 8

Environmental 8

Social Considerations 9

Reliability 9

Cost Considerations 10

Aesthetics 10

Product Life Cycle 10

Product Safety and Liability 11

Engineering Ethics 11

Creating Design Alternatives 12

Tools of Innovation 12

Patents 13

Reference Books and Trade Journals 13

Experts in a Related Field 13

Brainstorming 13

Existing Products and Concepts 13

Concurrent Engineering 14

Feasibility of Concept 14

Evaluating Design Alternatives 14

Evaluation Metrics 15

Scoring Alternative Concepts 15

Starting the Design 16

Design for Simplicity 16

Identify Subsystems 17

Development of Oil and Gas Reservoirs 17

Design of Offshore Drilling and Production Systems 18

Connection of Subsystems 19

Torsion Loading on Multibolt Patterns 19

Make-Up Force on Bolts 21

Preload in Drill Pipe Tool Joints 24

Shoulder Separation 26

Possible Yielding in the Pin 26

Make-Up Torque 28

Bolted Brackets 29

Welded Connections 30

Torsion Loading in Welded Connections 30

Attachments of Offshore Cranes 32

Quality Assurance 33

Engineering Education 34

Mission Statement 34

Academic Design Specifications 34

Design of the Academic Program 35

Outcomes Assessment 35

Saturn – Apollo Project 35

Notes 36

References 36

2 Configuring the Design 37

Force and Stress Analysis 37

Beam Analysis 39

Shear and Bending Moment Diagrams 40

Bending Stresses 45

Beam Deflection and Boundary Conditions 47

Shear Stress in Beams 48

Neutral Axis 50

Composite Cross Sections 52

Material Selection 54

Mechanical Properties of Steel 54

Use of Stress–Strain Relationship in a Simple Truss 57

Statically Indeterminate Member 59

Modes of Failure 62

Material Yielding 62

Stress Concentration 62

Wear 63

Fatigue 63

Stress Corrosion Cracking 69

Brittle Fracture 69

Fluid Flow Through Pipe 70

Continuity of Fluid Flow 70

Bernoulli’s Energy Equation (First Law) 71

Reynolds Number 71

Friction Head for Laminar Flow 72

Turbulent Flow Through Pipe 72

Senior Capstone Design Project 74

Pump Selection 74

Required Nozzle Velocity 74

Nozzle Pressure 74

Pump Flow Rate Requirement 75

Vibration Considerations 77

Natural Frequency of SDOF Systems 80

Location of Center of Gravity 84

Moment of Inertia with Respect to Point A 84

Springs in Series, Parallel 85

Deflection of Coiled Springs 86

Free Vibration with Damping 86

Quantifying Damping 87

Critical Damping in Vibrating Bar System 88

Forced Vibration of SDOF Systems with Damping 89

Nonlinear Damping 93

Vibration Control 93

Other Vibration Considerations 94

Transmissibility 94

Vibration Isolation 95

Commonality of Responses 96

Application of Vibration Absorbers in Drill Collars 96

Natural Frequencies with Vibration Absorbers 97

Responses to Nonperiodic Forces 100

Dynamic Load Factor 102

Packaging 103

Vibrations Caused by Rotor Imbalance 105

Response to an Imbalanced Rotating Mass 105

Synchronous Whirl of an Imbalanced Rotating Disk 106

Balancing a Single Disk 109

Synchronous Whirl of Rotating Pipe 109

Stability of Rotating Pipe under Axial Load 110

Balancing Rotating Masses in Two Planes 112

Refining the Design 113

Manufacturing 113

Manufacturing Drawings 114

Dimensioning 114

Tolerances 115

Three Types of Fits 116

Surface Finishes 117

Nanosurface Undulations 118

Machining Tools 119

Lathes 119

Drill Press 119

Milling Machines 120

Machining Centers 120

Turning Centers 120

References 121

Part II Power Generation, Transmission, Consumption 123

3 Power Generation 125

Water Wheels 125

Fluid Mechanics of Water Wheels 125

Steam Engines 127

Steam Locomotives 128

Power Units in Isolated Locations 130

Regional Power Stations 131

Physical Properties of Steam 131

Energy Extraction from Steam 132

First Law of Thermodynamics – Enthalpy 132

Entropy – Second Law 132

Thermodynamics of Heat Engines 133

Steam Turbines 135

Electric Motors 136

Internal Combustion Engines 137

Four Stroke Engine 137

Two Stroke Engines 138

Diesel Engines 139

Gas Turbine Engines 139

Impulse/Momentum 141

Energy Considerations 142

Engine Configurations 142

Rocket Engines 144

Rocketdyne F-1 Engine 144

Atlas Booster Engine 144

Gas Dynamics Within Rocket Engines 145

Rocket Dynamics 146

Energy Consumption in US 147

Solar Energy 148

Hydrogen as a Fuel 149

Hydroelectric Power 149

Wind Turbines 149

Geothermal Energy 149

Atomic Energy 150

Biofuels 150

Notes 150

References 150

4 Power Transmission 151

Gear Train Transmission 153

Water Wheel Transmission 153

Fundamental Gear Tooth Law 154

Involute Gear Features 154

Gear Tooth Size – Spur Gears 156

Simple Gear Train 158

Kinematics 158

Worm Gear Train 159

Planetary Gear Trains 160

Compound Gear Trains 161

Pulley Drives 162

Rope and Friction Pulleys 162

Belted Connections Between Pulley Drives 164

Fundamentals of Shaft Design 166

Shear Stress 167

Stress Analysis of Shafts 170

Twisting in Shafts Having Multiple Gears 171

Keyway Design 172

Mechanical Linkages 173

Relative Motion Between Two Points 173

Absolute Motion Within a Rotating Reference Frame 175

Scotch Yoke 177

Slider Crank Mechanism 178

Velocity Analysis 179

Acceleration Analysis 180

Four-Bar Linkage 181

Velocity Analysis 183

Acceleration Analysis 183

Three Bar Linkage 184

Velocity Equation 185

Acceleration Equation 185

Velocity Analysis 186

Acceleration Analysis 187

Geneva Mechanism 188

Flat Gear Tooth and Mating Profile 189

Cam Drives 191

Cam Drives – Linear Follower 191

Velocity Analysis 191

Acceleration Polygon 193

Cam with Linear Follower, Roller Contact 194

Velocity Analysis – Rotating Reference Frame 195

Acceleration Analysis – Rotating Reference Frame 195

Velocity Analysis – Ritterhaus Model 196

Acceleration Analysis – Ritterhaus Model 196

Cam with Pivoted Follower 196

Power Screw 198

Hydraulic Transmission of Power 199

Kinematics of the Moineau Pump/Motor 202

Mechanics of Positive Displacement Motors 203

References 208

5 Friction, Bearings, and Lubrication 209

Rolling Contact Bearings 209

Rated Load of Rolling Contact Bearings 210

Effect of Vibrations on the Life of Rolling Contact Bearings 213

Effect of Environment on Rolling Contact Bearing Life 216

Effect of Vibration and Environment on Bearing Life 217

Hydrostatic Thrust Bearings 220

Flow Between Parallel Plates 220

Fluid Mechanics of Hydrostatic Bearings 222

Optimizing Hydrostatic Thrust Bearings 224

Pumping Requirements 224

Friction Losses Due to Rotation 225

Total Energy Consumed 226

Coefficient of Friction 227

Squeeze Film Bearings 228

Pressure Distribution Under a Flat Disc 228

Comparison of Pressure Profiles 230

Spring Constant of Hydrostatic Films 231

Damping Coefficient of Squeeze Films 231

Other Shapes of Squeeze Films 233

Squeeze Film with Recess 233

Squeeze Film Under a Washer 234

Spherical Squeeze Film 235

Nonsymmetrical Boundaries 236

Application to Wrist Pins 237

Thick Film Slider Bearings 240

Slider Bearings with Fixed Shoe 240

Load-Carrying Capacity 243

Friction in Slider Bearings 243

Coefficient of Friction 244

Center of Pressure 244

Slider Bearing with Pivoted Shoe 245

Frictional Resistance 246

Coefficient of Friction 246

Exponential Slider-Bearing Profiles 247

Pressure Distribution for Exponential Profile 247

Pressure Comparison with Straight Taper Profile 248

Load-Carrying Capacity 249

Pressure Distribution for Open Entry 249

Exponential Slider Bearing with Side Leakage 250

Hydrodynamic Lubricated Journal Bearings 254

Pressure Distribution Around an Idealized Journal Bearing 254

Load-Carrying Capacity 257

Minimum Film Thickness in Journal Bearings 258

Friction in an Idealized Journal Bearing 259

Petroff’s Law 259

Sommerfeld’s Solution 260

Stribeck Diagram and Boundary Lubrication 261

Regions of Friction 261

Comparison of Journal Bearing Performance with Roller Bearings 263

Journal Bearing 263

Roller Contact Bearing (See Footnote 1) 263

Ball Bearing (See Footnote 1) 264

Note 264

References 264

6 Energy Consumption 267

Subsystems of Drilling Rigs 267

Draw Works in Drilling Rigs 269

Block and Tackle Hoisting Mechanism 270

Spring Constant of Draw Works Cables 270

Band Brakes Used to Control Rate of Decent 270

Rotary Drive and Drillstring Subsystem 272

Kelly and Rotary Table Drive 272

Friction in Directional Wells 272

Top Drive 273

Drillstring Design and Operation 275

Buoyancy 276

Hook Load 277

Definition of Neutral Point 277

Basic Drillstring: Drill Pipe and Drill Collars 279

Physical Properties of Drill Pipe 279

Selecting Drill Pipe Size and Grade 281

Select Pipe Grade for a Given Pipe Size 281

Determine Maximum Depth for Given Pipe Size and Grade 282

Roller Cone Rock Bits 283

Polycrystalline Diamond Compact (PDC) Drill Bits 283

Natural Diamond Drill Bits 284

Hydraulics of Rotary Drilling 285

Optimized Hydraulic Horsepower 285

Field Application 288

Controlling Formation Fluids 290

Hydrostatic Drilling Mud Pressure 290

Annular Blowout Preventer 290

Hydraulic Rams 292

Casing Design 293

Collapse Pressure Loading (Production Casing) 295

Burst Pressure Loading (Production Casing) 295

API Collapse Pressure Guidelines 297

Plastic Yielding and Collapse with Tension 297

Summary of Pressure Loading (Production Casing) 298

Effect of Tension on Casing Collapse 298

Tension Forces in Casing 300

Design of 95 8 in. Production Casing 302

Design Without Factors of Safety 302

Directional Drilling 306

Downhole Drilling Motors 306

Rotary Steerable Tools 307

Stabilized Bottom-Hole Assemblies 308

Power Units at the Rig Site 310

References 310

Part III Analytical Tools of Design 313

7 Dynamics of Particles and Rigid Bodies 315

Statics – Bodies in Equilibrium 315

Force Systems 316

Freebody Diagrams 318

Force Analysis of Trusses 318

Method of Joints 319

Method of Sections 319

Kinematics of Particles 320

Linear Motion 320

Rectangular Coordinates 321

Polar Coordinates 322

Velocity Vector 325

Acceleration Vector 325

Curvilinear Coordinates 325

Navigating in Geospace 328

Tracking Progress Along a Well Path 328

Minimum Curvature Method 329

Dogleg Severity 331

Projecting Ahead 332

Kinematics of Rigid Bodies 333

Rigid Body Translation and Rotation 333

General Plane Motion 334

Dynamics of Particles 335

Units of Measure 335

Application of Newton’s Second Law 336

Static Analysis 336

Dynamic Analysis 337

Work and Kinetic Energy 337

Potential Energy 339

Drill Bit Nozzle Selection 341

Impulse–Momentum 342

Impulse–Momentum Applied to a System of Particles 343

Mechanics of Hydraulic Turbines 345

Performance Relationships 349

Maximum Output of Drilling Turbines 350

Dynamics of Rigid Bodies 351

Rigid Bodies in Plane Motion 352

Translation of Rigid Bodies 354

Rotation About a Fixed Point 354

Center of Gravity of Connecting Rod 355

Mass Moment of Inertia of Connecting Rod 356

General Motion of Rigid Bodies 356

Dynamic Forces Between Rotor and Stator 359

Interconnecting Bodies 361

Gear Train Start-Up Torque 361

Kinetic Energy of Rigid Bodies 363

The Catapult 364

Impulse–Momentum of Rigid Bodies 364

Linear Impulse and Momentum 365

Angular Impulse and Momentum 365

Angular Impulse Caused by Stabilizers and PDC Drill Bits 368

Accounting for Torsional Flexibility in Drill Collars 369

Interconnecting Bodies 370

Conservation of Angular Momentum 371

References 374

8 Mechanics of Materials 375

Stress Transformation 376

Theory of Stress 377

Normal and Shear Stress Transformations 377

Maximum Normal and Maximum Shear Stresses 378

Mohr’s Stress Circle 381

Theory of Strain 383

Strain Transformation 384

Mohr’s Strain Circle 386

Principal Axes of Stress and Strain 386

Generalized Hooke’s Law 388

Theory of Plain Stress 388

Orientation of Principal Stress and Strain 389

Theory of Plain Strain 391

Pressure Vessel Strain Measurements 391

Analytical Predictions of Stress and Strain 391

Strain in the Spherical Cap 393

Conversion of Strain Measurements to Principal Strains and Stresses 393

Beam Deflections 396

Cantilever Beam with Concentrated Force 397

Cantilevered Beam with Uniform Load 398

Simply Supported Beam with Distributed Load 399

Statically Indeterminate Beams 400

Multispanned Beam Columns 402

Large Angle Bending in Terms of Polar Coordinates 403

Bending Stresses in Drill Pipe Between Tool Joints 405

Application to Pipe Bending in Curved Well Bores 408

Multispanned Beam in Terms or Polar Coordinates 410

Pulling Out of the Well Bore 410

Columns and Compression Members 411

Column Buckling Under Uniform Compression 411

Columns of Variable Cross Section 415

Tubular Buckling Due to Internal Pressure 416

Effective Tension in Pipe 417

Buckling of Drill Collars 418

Combined Effects of Axial Force and Internal/External Pressure 420

Buckling of Drill Pipe 420

Bending Equation for Marine Risers 424

Unique Features of the Differential Equation of Bending 424

Effective Tension 426

Buckling of Marine Risers 426

Tapered Flex Joints 429

Equation of Bending 430

Parabolic Approximation to Moment of Inertia 430

Solution to Differential Equation 432

Application to Marine Risers 435

Torsional Buckling of Long Vertical Pipe 435

Boundary Conditions 436

Both Top and Bottom Ends Pinned 438

Simply Supported at Both Ends with no End Thrust 440

Force Applied to Lower End 441

Effect of Drilling Fluid on Torsional Buckling 442

Lower Boundary Condition Fixed 442

Operational Significance 442

Pressure Vessels 443

Stresses in Thick Wall Cylinders 443

Stresses in Thin-Wall Cylinders 444

Stresses Along a Helical Seam 444

Interference Fit Between Cylinders 445

Thin-Wall Cylinders 445

Surface Deflections of Thick-Wall Cylinders 447

Thick Wall Cylinder Enclosed by Thin Wall Cylinder 448

Thick Wall Cylinder Enclosed by Thick Wall Cylinder 448

Elastic Buckling of Thin Wall Pipe 449

Bresse’s Formulation 450

Application to Long Cylinders 451

Thin Shells of Revolution 452

Curved Beams 455

Location of Neutral Axis 455

Stress Distribution in Cross Section 456

Shear Centers 460

Unsymmetrical Bending 464

Principal Axis of Inertia 464

Neutral Axis of Bending 468

Bending Stresses 470

Beams on Elastic Foundations 471

Formulating the Problem 472

Mathematical Solution 473

Solution to Concentrated Force 474

Radial Deflection of Thin Wall Cylinders Due to Ring Loading 475

Formulation of Spring Constant 476

Equation of Bending for Cylindrical Arc Strip 477

Reach of Bending Moment 480

Bending Stress in Wall of a Multi Banded Cylinder 480

Criteria of Failure 482

Combined Stresses 482

Internal Pressure 483

Applied Torque 483

Bending Moment 483

Failure of Ductile Materials 484

Visualization of Stress at a Point 485

Pressure Required to Yield a Cylindrical Vessel 486

Failure of Brittle Materials 487

Mode of Failure in Third Quadrant 489

References 489

9 Modal Analysis of Mechanical Vibrations 491

Complex Variable Approach 491

Complex Transfer Function 493

Interpretation of Experimental Data 493

Natural Frequency 494

Damping Factor 494

Spring Constant 495

Mass 495

Damping Coefficient 495

Two Degrees of Freedom 495

Natural Frequencies and Modes of Vibration 495

SDOF Converted to 2-DOF 497

Single Degree of Freedom 497

Two Degrees of Freedom 498

Other 2-DOF Systems 499

Undamped Forced Vibrations (2 DOF) 500

Undamped Dynamic Vibration Absorber 502

Base and Absorber Pinned Together 503

Multi-DOF Systems – Eigenvalues and Mode Shapes 507

Flexibility Matrix – Stiffness Matrix 508

Direct Determination of the Stiffness Matrix 511

Direct Determination of the Mass Matrix 512

Amplitude and Characteristic Equations 512

Parameters Not Chosen at Discrete Masses 514

Lateral Stiffness of a Vertical Cable 515

Building the Damping Matrix 516

Modal Analysis of Discrete Systems 516

Orthogonal Properties of Natural Modes 517

Proportional Damping 518

Transforming Modal Solution to Local Coordinates 519

Free Vibration of Multiple DOF Systems 520

Free Vibration of 2 DOF Systems 521

Suddenly Stopping Drill Pipe with the Slips 522

Critical Damping of Vibration Modes 524

Forced Vibration by Harmonic Excitation 526

Complex Variable Approach 526

Harmonic Excitation of 3 DOF Systems 527

Modal Solution of a Damped 2-DOF System 529

General Complex Variable Solution 530

Experimental Modal Analysis 532

Modal Response to Nonperiodic Forces 535

Natural Frequencies of Drillstrings 536

References 538

10 Fluid Mechanics 541

Laminar Flow 541

Viscous Pumps 541

Force to Move Runner 543

Capillary Tubes 544

Flow Through Noncircular Conduits 545

Elliptical Conduit 545

Rectangular Conduit 546

Unsteady Flow Through Pipe 547

Hydraulics of Non-Newtonian Fluids 551

Hydraulics of Drilling Fluids 551

Pressure Loss Inside Drill Pipe 551

Pressure Loss in Annulus 552

Oil Well Drilling Pumps 552

Drilling Hydraulics 554

Power Demands of Downhole Motors 556

Performance of Positive Displacement Motors (PDM) 557

Application of Drilling Turbines 560

Hydraulic Demands of Drilling Motors – Turbines 561

Fluid Flow Around Vibrating Micro Cantilevers 562

Mathematical Model 563

Fluid Pressure Formulation 564

Fluid Velocity Formulation 565

References 566

11 Energy Methods 569

Principle of Minimum Potential Energy 569

Stable and Unstable Equilibrium 569

Stability of Floating Objects 570

Stability of a Vertical Rod 572

Rayleigh’s Method 573

Multiple Degrees of Freedom 574

Structure Having Two Degrees of Freedom 574

Analysis of Beam Deflection by Fourier Series 576

Concentrated Load 577

Distributed Load 577

Axially Loaded Beam (Column) 578

Principle of Complementary Energy 579

Engineering Application 580

Castigliano’s Theorem 582

Chemically Induced Deflections 588

Microcantilever Sensors 588

Simulation Model 588

Molecular and Elastic Potential Energies 591

References 592

Index 593

Engineering Practice with Oilfield and Drilling

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    A Hardback by Donald W. Dareing

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      Publisher: John Wiley & Sons Inc
      Publication Date: 21/01/2022
      ISBN13: 9781119799498, 978-1119799498
      ISBN10: 111979949X

      Description

      Book Synopsis
      Explains how to apply time-tested engineering design methods when developing equipment and systems for oil industry and drilling applications Although specific requirements and considerations must be incorporated into an engineering design for petroleum drilling and production, the approach for developing a successful solution is the same across many engineering disciplines. Engineering Practice with Oilfield and Drilling Applications helps readers understand the engineering design process while demonstrating how basic engineering tools can be applied to meet the needs of the oil and petroleum industry. Divided into three parts, the book opens with an overview of best practices for engineering design and problem solving, followed by a summary of specific mechanical design requirements for different modes of power generation, transmission, and consumption. The book concludes with explanations of various analytical tools of design and their application in vibration analysis, fluid mecha

      Table of Contents

      Preface xxi

      Nomenclature xxiii

      Part I Engineering Design and Problem Solving 1

      1 Design and Problem Solving Guidelines 3

      Design Methodology 3

      Market Analysis 5

      Operational Requirements 5

      Product Development 6

      Government Procurement Procedure 6

      Petroleum Industry Procedure 6

      Design Specifications 7

      Specification Topics 7

      Performance Requirements 7

      Sustainability 7

      Codes and Standards 8

      Environmental 8

      Social Considerations 9

      Reliability 9

      Cost Considerations 10

      Aesthetics 10

      Product Life Cycle 10

      Product Safety and Liability 11

      Engineering Ethics 11

      Creating Design Alternatives 12

      Tools of Innovation 12

      Patents 13

      Reference Books and Trade Journals 13

      Experts in a Related Field 13

      Brainstorming 13

      Existing Products and Concepts 13

      Concurrent Engineering 14

      Feasibility of Concept 14

      Evaluating Design Alternatives 14

      Evaluation Metrics 15

      Scoring Alternative Concepts 15

      Starting the Design 16

      Design for Simplicity 16

      Identify Subsystems 17

      Development of Oil and Gas Reservoirs 17

      Design of Offshore Drilling and Production Systems 18

      Connection of Subsystems 19

      Torsion Loading on Multibolt Patterns 19

      Make-Up Force on Bolts 21

      Preload in Drill Pipe Tool Joints 24

      Shoulder Separation 26

      Possible Yielding in the Pin 26

      Make-Up Torque 28

      Bolted Brackets 29

      Welded Connections 30

      Torsion Loading in Welded Connections 30

      Attachments of Offshore Cranes 32

      Quality Assurance 33

      Engineering Education 34

      Mission Statement 34

      Academic Design Specifications 34

      Design of the Academic Program 35

      Outcomes Assessment 35

      Saturn – Apollo Project 35

      Notes 36

      References 36

      2 Configuring the Design 37

      Force and Stress Analysis 37

      Beam Analysis 39

      Shear and Bending Moment Diagrams 40

      Bending Stresses 45

      Beam Deflection and Boundary Conditions 47

      Shear Stress in Beams 48

      Neutral Axis 50

      Composite Cross Sections 52

      Material Selection 54

      Mechanical Properties of Steel 54

      Use of Stress–Strain Relationship in a Simple Truss 57

      Statically Indeterminate Member 59

      Modes of Failure 62

      Material Yielding 62

      Stress Concentration 62

      Wear 63

      Fatigue 63

      Stress Corrosion Cracking 69

      Brittle Fracture 69

      Fluid Flow Through Pipe 70

      Continuity of Fluid Flow 70

      Bernoulli’s Energy Equation (First Law) 71

      Reynolds Number 71

      Friction Head for Laminar Flow 72

      Turbulent Flow Through Pipe 72

      Senior Capstone Design Project 74

      Pump Selection 74

      Required Nozzle Velocity 74

      Nozzle Pressure 74

      Pump Flow Rate Requirement 75

      Vibration Considerations 77

      Natural Frequency of SDOF Systems 80

      Location of Center of Gravity 84

      Moment of Inertia with Respect to Point A 84

      Springs in Series, Parallel 85

      Deflection of Coiled Springs 86

      Free Vibration with Damping 86

      Quantifying Damping 87

      Critical Damping in Vibrating Bar System 88

      Forced Vibration of SDOF Systems with Damping 89

      Nonlinear Damping 93

      Vibration Control 93

      Other Vibration Considerations 94

      Transmissibility 94

      Vibration Isolation 95

      Commonality of Responses 96

      Application of Vibration Absorbers in Drill Collars 96

      Natural Frequencies with Vibration Absorbers 97

      Responses to Nonperiodic Forces 100

      Dynamic Load Factor 102

      Packaging 103

      Vibrations Caused by Rotor Imbalance 105

      Response to an Imbalanced Rotating Mass 105

      Synchronous Whirl of an Imbalanced Rotating Disk 106

      Balancing a Single Disk 109

      Synchronous Whirl of Rotating Pipe 109

      Stability of Rotating Pipe under Axial Load 110

      Balancing Rotating Masses in Two Planes 112

      Refining the Design 113

      Manufacturing 113

      Manufacturing Drawings 114

      Dimensioning 114

      Tolerances 115

      Three Types of Fits 116

      Surface Finishes 117

      Nanosurface Undulations 118

      Machining Tools 119

      Lathes 119

      Drill Press 119

      Milling Machines 120

      Machining Centers 120

      Turning Centers 120

      References 121

      Part II Power Generation, Transmission, Consumption 123

      3 Power Generation 125

      Water Wheels 125

      Fluid Mechanics of Water Wheels 125

      Steam Engines 127

      Steam Locomotives 128

      Power Units in Isolated Locations 130

      Regional Power Stations 131

      Physical Properties of Steam 131

      Energy Extraction from Steam 132

      First Law of Thermodynamics – Enthalpy 132

      Entropy – Second Law 132

      Thermodynamics of Heat Engines 133

      Steam Turbines 135

      Electric Motors 136

      Internal Combustion Engines 137

      Four Stroke Engine 137

      Two Stroke Engines 138

      Diesel Engines 139

      Gas Turbine Engines 139

      Impulse/Momentum 141

      Energy Considerations 142

      Engine Configurations 142

      Rocket Engines 144

      Rocketdyne F-1 Engine 144

      Atlas Booster Engine 144

      Gas Dynamics Within Rocket Engines 145

      Rocket Dynamics 146

      Energy Consumption in US 147

      Solar Energy 148

      Hydrogen as a Fuel 149

      Hydroelectric Power 149

      Wind Turbines 149

      Geothermal Energy 149

      Atomic Energy 150

      Biofuels 150

      Notes 150

      References 150

      4 Power Transmission 151

      Gear Train Transmission 153

      Water Wheel Transmission 153

      Fundamental Gear Tooth Law 154

      Involute Gear Features 154

      Gear Tooth Size – Spur Gears 156

      Simple Gear Train 158

      Kinematics 158

      Worm Gear Train 159

      Planetary Gear Trains 160

      Compound Gear Trains 161

      Pulley Drives 162

      Rope and Friction Pulleys 162

      Belted Connections Between Pulley Drives 164

      Fundamentals of Shaft Design 166

      Shear Stress 167

      Stress Analysis of Shafts 170

      Twisting in Shafts Having Multiple Gears 171

      Keyway Design 172

      Mechanical Linkages 173

      Relative Motion Between Two Points 173

      Absolute Motion Within a Rotating Reference Frame 175

      Scotch Yoke 177

      Slider Crank Mechanism 178

      Velocity Analysis 179

      Acceleration Analysis 180

      Four-Bar Linkage 181

      Velocity Analysis 183

      Acceleration Analysis 183

      Three Bar Linkage 184

      Velocity Equation 185

      Acceleration Equation 185

      Velocity Analysis 186

      Acceleration Analysis 187

      Geneva Mechanism 188

      Flat Gear Tooth and Mating Profile 189

      Cam Drives 191

      Cam Drives – Linear Follower 191

      Velocity Analysis 191

      Acceleration Polygon 193

      Cam with Linear Follower, Roller Contact 194

      Velocity Analysis – Rotating Reference Frame 195

      Acceleration Analysis – Rotating Reference Frame 195

      Velocity Analysis – Ritterhaus Model 196

      Acceleration Analysis – Ritterhaus Model 196

      Cam with Pivoted Follower 196

      Power Screw 198

      Hydraulic Transmission of Power 199

      Kinematics of the Moineau Pump/Motor 202

      Mechanics of Positive Displacement Motors 203

      References 208

      5 Friction, Bearings, and Lubrication 209

      Rolling Contact Bearings 209

      Rated Load of Rolling Contact Bearings 210

      Effect of Vibrations on the Life of Rolling Contact Bearings 213

      Effect of Environment on Rolling Contact Bearing Life 216

      Effect of Vibration and Environment on Bearing Life 217

      Hydrostatic Thrust Bearings 220

      Flow Between Parallel Plates 220

      Fluid Mechanics of Hydrostatic Bearings 222

      Optimizing Hydrostatic Thrust Bearings 224

      Pumping Requirements 224

      Friction Losses Due to Rotation 225

      Total Energy Consumed 226

      Coefficient of Friction 227

      Squeeze Film Bearings 228

      Pressure Distribution Under a Flat Disc 228

      Comparison of Pressure Profiles 230

      Spring Constant of Hydrostatic Films 231

      Damping Coefficient of Squeeze Films 231

      Other Shapes of Squeeze Films 233

      Squeeze Film with Recess 233

      Squeeze Film Under a Washer 234

      Spherical Squeeze Film 235

      Nonsymmetrical Boundaries 236

      Application to Wrist Pins 237

      Thick Film Slider Bearings 240

      Slider Bearings with Fixed Shoe 240

      Load-Carrying Capacity 243

      Friction in Slider Bearings 243

      Coefficient of Friction 244

      Center of Pressure 244

      Slider Bearing with Pivoted Shoe 245

      Frictional Resistance 246

      Coefficient of Friction 246

      Exponential Slider-Bearing Profiles 247

      Pressure Distribution for Exponential Profile 247

      Pressure Comparison with Straight Taper Profile 248

      Load-Carrying Capacity 249

      Pressure Distribution for Open Entry 249

      Exponential Slider Bearing with Side Leakage 250

      Hydrodynamic Lubricated Journal Bearings 254

      Pressure Distribution Around an Idealized Journal Bearing 254

      Load-Carrying Capacity 257

      Minimum Film Thickness in Journal Bearings 258

      Friction in an Idealized Journal Bearing 259

      Petroff’s Law 259

      Sommerfeld’s Solution 260

      Stribeck Diagram and Boundary Lubrication 261

      Regions of Friction 261

      Comparison of Journal Bearing Performance with Roller Bearings 263

      Journal Bearing 263

      Roller Contact Bearing (See Footnote 1) 263

      Ball Bearing (See Footnote 1) 264

      Note 264

      References 264

      6 Energy Consumption 267

      Subsystems of Drilling Rigs 267

      Draw Works in Drilling Rigs 269

      Block and Tackle Hoisting Mechanism 270

      Spring Constant of Draw Works Cables 270

      Band Brakes Used to Control Rate of Decent 270

      Rotary Drive and Drillstring Subsystem 272

      Kelly and Rotary Table Drive 272

      Friction in Directional Wells 272

      Top Drive 273

      Drillstring Design and Operation 275

      Buoyancy 276

      Hook Load 277

      Definition of Neutral Point 277

      Basic Drillstring: Drill Pipe and Drill Collars 279

      Physical Properties of Drill Pipe 279

      Selecting Drill Pipe Size and Grade 281

      Select Pipe Grade for a Given Pipe Size 281

      Determine Maximum Depth for Given Pipe Size and Grade 282

      Roller Cone Rock Bits 283

      Polycrystalline Diamond Compact (PDC) Drill Bits 283

      Natural Diamond Drill Bits 284

      Hydraulics of Rotary Drilling 285

      Optimized Hydraulic Horsepower 285

      Field Application 288

      Controlling Formation Fluids 290

      Hydrostatic Drilling Mud Pressure 290

      Annular Blowout Preventer 290

      Hydraulic Rams 292

      Casing Design 293

      Collapse Pressure Loading (Production Casing) 295

      Burst Pressure Loading (Production Casing) 295

      API Collapse Pressure Guidelines 297

      Plastic Yielding and Collapse with Tension 297

      Summary of Pressure Loading (Production Casing) 298

      Effect of Tension on Casing Collapse 298

      Tension Forces in Casing 300

      Design of 95 8 in. Production Casing 302

      Design Without Factors of Safety 302

      Directional Drilling 306

      Downhole Drilling Motors 306

      Rotary Steerable Tools 307

      Stabilized Bottom-Hole Assemblies 308

      Power Units at the Rig Site 310

      References 310

      Part III Analytical Tools of Design 313

      7 Dynamics of Particles and Rigid Bodies 315

      Statics – Bodies in Equilibrium 315

      Force Systems 316

      Freebody Diagrams 318

      Force Analysis of Trusses 318

      Method of Joints 319

      Method of Sections 319

      Kinematics of Particles 320

      Linear Motion 320

      Rectangular Coordinates 321

      Polar Coordinates 322

      Velocity Vector 325

      Acceleration Vector 325

      Curvilinear Coordinates 325

      Navigating in Geospace 328

      Tracking Progress Along a Well Path 328

      Minimum Curvature Method 329

      Dogleg Severity 331

      Projecting Ahead 332

      Kinematics of Rigid Bodies 333

      Rigid Body Translation and Rotation 333

      General Plane Motion 334

      Dynamics of Particles 335

      Units of Measure 335

      Application of Newton’s Second Law 336

      Static Analysis 336

      Dynamic Analysis 337

      Work and Kinetic Energy 337

      Potential Energy 339

      Drill Bit Nozzle Selection 341

      Impulse–Momentum 342

      Impulse–Momentum Applied to a System of Particles 343

      Mechanics of Hydraulic Turbines 345

      Performance Relationships 349

      Maximum Output of Drilling Turbines 350

      Dynamics of Rigid Bodies 351

      Rigid Bodies in Plane Motion 352

      Translation of Rigid Bodies 354

      Rotation About a Fixed Point 354

      Center of Gravity of Connecting Rod 355

      Mass Moment of Inertia of Connecting Rod 356

      General Motion of Rigid Bodies 356

      Dynamic Forces Between Rotor and Stator 359

      Interconnecting Bodies 361

      Gear Train Start-Up Torque 361

      Kinetic Energy of Rigid Bodies 363

      The Catapult 364

      Impulse–Momentum of Rigid Bodies 364

      Linear Impulse and Momentum 365

      Angular Impulse and Momentum 365

      Angular Impulse Caused by Stabilizers and PDC Drill Bits 368

      Accounting for Torsional Flexibility in Drill Collars 369

      Interconnecting Bodies 370

      Conservation of Angular Momentum 371

      References 374

      8 Mechanics of Materials 375

      Stress Transformation 376

      Theory of Stress 377

      Normal and Shear Stress Transformations 377

      Maximum Normal and Maximum Shear Stresses 378

      Mohr’s Stress Circle 381

      Theory of Strain 383

      Strain Transformation 384

      Mohr’s Strain Circle 386

      Principal Axes of Stress and Strain 386

      Generalized Hooke’s Law 388

      Theory of Plain Stress 388

      Orientation of Principal Stress and Strain 389

      Theory of Plain Strain 391

      Pressure Vessel Strain Measurements 391

      Analytical Predictions of Stress and Strain 391

      Strain in the Spherical Cap 393

      Conversion of Strain Measurements to Principal Strains and Stresses 393

      Beam Deflections 396

      Cantilever Beam with Concentrated Force 397

      Cantilevered Beam with Uniform Load 398

      Simply Supported Beam with Distributed Load 399

      Statically Indeterminate Beams 400

      Multispanned Beam Columns 402

      Large Angle Bending in Terms of Polar Coordinates 403

      Bending Stresses in Drill Pipe Between Tool Joints 405

      Application to Pipe Bending in Curved Well Bores 408

      Multispanned Beam in Terms or Polar Coordinates 410

      Pulling Out of the Well Bore 410

      Columns and Compression Members 411

      Column Buckling Under Uniform Compression 411

      Columns of Variable Cross Section 415

      Tubular Buckling Due to Internal Pressure 416

      Effective Tension in Pipe 417

      Buckling of Drill Collars 418

      Combined Effects of Axial Force and Internal/External Pressure 420

      Buckling of Drill Pipe 420

      Bending Equation for Marine Risers 424

      Unique Features of the Differential Equation of Bending 424

      Effective Tension 426

      Buckling of Marine Risers 426

      Tapered Flex Joints 429

      Equation of Bending 430

      Parabolic Approximation to Moment of Inertia 430

      Solution to Differential Equation 432

      Application to Marine Risers 435

      Torsional Buckling of Long Vertical Pipe 435

      Boundary Conditions 436

      Both Top and Bottom Ends Pinned 438

      Simply Supported at Both Ends with no End Thrust 440

      Force Applied to Lower End 441

      Effect of Drilling Fluid on Torsional Buckling 442

      Lower Boundary Condition Fixed 442

      Operational Significance 442

      Pressure Vessels 443

      Stresses in Thick Wall Cylinders 443

      Stresses in Thin-Wall Cylinders 444

      Stresses Along a Helical Seam 444

      Interference Fit Between Cylinders 445

      Thin-Wall Cylinders 445

      Surface Deflections of Thick-Wall Cylinders 447

      Thick Wall Cylinder Enclosed by Thin Wall Cylinder 448

      Thick Wall Cylinder Enclosed by Thick Wall Cylinder 448

      Elastic Buckling of Thin Wall Pipe 449

      Bresse’s Formulation 450

      Application to Long Cylinders 451

      Thin Shells of Revolution 452

      Curved Beams 455

      Location of Neutral Axis 455

      Stress Distribution in Cross Section 456

      Shear Centers 460

      Unsymmetrical Bending 464

      Principal Axis of Inertia 464

      Neutral Axis of Bending 468

      Bending Stresses 470

      Beams on Elastic Foundations 471

      Formulating the Problem 472

      Mathematical Solution 473

      Solution to Concentrated Force 474

      Radial Deflection of Thin Wall Cylinders Due to Ring Loading 475

      Formulation of Spring Constant 476

      Equation of Bending for Cylindrical Arc Strip 477

      Reach of Bending Moment 480

      Bending Stress in Wall of a Multi Banded Cylinder 480

      Criteria of Failure 482

      Combined Stresses 482

      Internal Pressure 483

      Applied Torque 483

      Bending Moment 483

      Failure of Ductile Materials 484

      Visualization of Stress at a Point 485

      Pressure Required to Yield a Cylindrical Vessel 486

      Failure of Brittle Materials 487

      Mode of Failure in Third Quadrant 489

      References 489

      9 Modal Analysis of Mechanical Vibrations 491

      Complex Variable Approach 491

      Complex Transfer Function 493

      Interpretation of Experimental Data 493

      Natural Frequency 494

      Damping Factor 494

      Spring Constant 495

      Mass 495

      Damping Coefficient 495

      Two Degrees of Freedom 495

      Natural Frequencies and Modes of Vibration 495

      SDOF Converted to 2-DOF 497

      Single Degree of Freedom 497

      Two Degrees of Freedom 498

      Other 2-DOF Systems 499

      Undamped Forced Vibrations (2 DOF) 500

      Undamped Dynamic Vibration Absorber 502

      Base and Absorber Pinned Together 503

      Multi-DOF Systems – Eigenvalues and Mode Shapes 507

      Flexibility Matrix – Stiffness Matrix 508

      Direct Determination of the Stiffness Matrix 511

      Direct Determination of the Mass Matrix 512

      Amplitude and Characteristic Equations 512

      Parameters Not Chosen at Discrete Masses 514

      Lateral Stiffness of a Vertical Cable 515

      Building the Damping Matrix 516

      Modal Analysis of Discrete Systems 516

      Orthogonal Properties of Natural Modes 517

      Proportional Damping 518

      Transforming Modal Solution to Local Coordinates 519

      Free Vibration of Multiple DOF Systems 520

      Free Vibration of 2 DOF Systems 521

      Suddenly Stopping Drill Pipe with the Slips 522

      Critical Damping of Vibration Modes 524

      Forced Vibration by Harmonic Excitation 526

      Complex Variable Approach 526

      Harmonic Excitation of 3 DOF Systems 527

      Modal Solution of a Damped 2-DOF System 529

      General Complex Variable Solution 530

      Experimental Modal Analysis 532

      Modal Response to Nonperiodic Forces 535

      Natural Frequencies of Drillstrings 536

      References 538

      10 Fluid Mechanics 541

      Laminar Flow 541

      Viscous Pumps 541

      Force to Move Runner 543

      Capillary Tubes 544

      Flow Through Noncircular Conduits 545

      Elliptical Conduit 545

      Rectangular Conduit 546

      Unsteady Flow Through Pipe 547

      Hydraulics of Non-Newtonian Fluids 551

      Hydraulics of Drilling Fluids 551

      Pressure Loss Inside Drill Pipe 551

      Pressure Loss in Annulus 552

      Oil Well Drilling Pumps 552

      Drilling Hydraulics 554

      Power Demands of Downhole Motors 556

      Performance of Positive Displacement Motors (PDM) 557

      Application of Drilling Turbines 560

      Hydraulic Demands of Drilling Motors – Turbines 561

      Fluid Flow Around Vibrating Micro Cantilevers 562

      Mathematical Model 563

      Fluid Pressure Formulation 564

      Fluid Velocity Formulation 565

      References 566

      11 Energy Methods 569

      Principle of Minimum Potential Energy 569

      Stable and Unstable Equilibrium 569

      Stability of Floating Objects 570

      Stability of a Vertical Rod 572

      Rayleigh’s Method 573

      Multiple Degrees of Freedom 574

      Structure Having Two Degrees of Freedom 574

      Analysis of Beam Deflection by Fourier Series 576

      Concentrated Load 577

      Distributed Load 577

      Axially Loaded Beam (Column) 578

      Principle of Complementary Energy 579

      Engineering Application 580

      Castigliano’s Theorem 582

      Chemically Induced Deflections 588

      Microcantilever Sensors 588

      Simulation Model 588

      Molecular and Elastic Potential Energies 591

      References 592

      Index 593

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