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Submit a ProposalMechanics of Fluid Flow
 | By Kaplan S. Basniev, Nikolay M. Dmitriev, and George V. Chilingar Copyright: 2012 | Expected Pub Date:September 2012// ISBN: 9781118385067 | Hardcover | 568 pages Price: $195 USD  |
One Line Description
The mechanics of fluid flow is one of the most important fundamental engineering disciplines explaining both natural phenomena and human-induced processes. A group of some of the best-known petroleum engineers in the world give a thorough understanding of this important discipline, central to the operations of the oil and gas industry.
Audience
Petroleum Engineers, Environmental Engineering, Geologists, Geophysicists and Engineering Students, petroleum, drilling, and reservoir engineers, production engineers and geologists
Petroleum Engineers, Environmental Engineering, Geologists, Geophysicists and Engineering Students, petroleum, drilling, and reservoir engineers, production engineers and geologists
Description
The mechanics of fluid flow, specifically gas, oil, and water, is a fundamental engineering discipline explaining various natural phenomena and human-induced processes. It is of utmost importance in aviation, shipbuilding, petroleum industries, thermodynamics, meteorology, and chemical engineering. This basic applied scientific discipline enables one to understand and describe mathematically the movement of fluids (gas, oil, water) in various media: channels, subsurface formations, pipelines, etc. to describe various phenomena and applications associated with fluid dynamics, the writers used the unified systematic approach based on the continuity and conservation laws of continuum mechanics.
There have been many books written on the basics of fluid flow or fluid mechanics, but this volume, written by some of the most well-respected engineers and scientists in the oil and gas industry, is the first of its kind to apply these fundamental concepts to problems encountered in the petroleum industry at this level of detail.
Mathematical description of specific applied problems and their solutions are presented in the book, as well as the concepts behind them, both traditional and newly-conceived ideas that will be of use to scientists and students alike. This book can be used as a textbook by the university student, or as a handbook for the engineer or scientist in the field.
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The mechanics of fluid flow, specifically gas, oil, and water, is a fundamental engineering discipline explaining various natural phenomena and human-induced processes. It is of utmost importance in aviation, shipbuilding, petroleum industries, thermodynamics, meteorology, and chemical engineering. This basic applied scientific discipline enables one to understand and describe mathematically the movement of fluids (gas, oil, water) in various media: channels, subsurface formations, pipelines, etc. to describe various phenomena and applications associated with fluid dynamics, the writers used the unified systematic approach based on the continuity and conservation laws of continuum mechanics.
There have been many books written on the basics of fluid flow or fluid mechanics, but this volume, written by some of the most well-respected engineers and scientists in the oil and gas industry, is the first of its kind to apply these fundamental concepts to problems encountered in the petroleum industry at this level of detail.
Mathematical description of specific applied problems and their solutions are presented in the book, as well as the concepts behind them, both traditional and newly-conceived ideas that will be of use to scientists and students alike. This book can be used as a textbook by the university student, or as a handbook for the engineer or scientist in the field.
Back to Top
Author / Editor Details
Kaplan S. Basniev, Ph.D, is a well-known specialist in the oil and gas industry with over 50 years of experience. He has held numerous high-level positions in the field throughout his career, including heading the Oil and Gas Section of the Russian Academy of Natural Sciences for 15 years. He has 240 publications, 15 monographs, and numerous medals and awards to his name.
Kaplan S. Basniev, Ph.D, is a well-known specialist in the oil and gas industry with over 50 years of experience. He has held numerous high-level positions in the field throughout his career, including heading the Oil and Gas Section of the Russian Academy of Natural Sciences for 15 years. He has 240 publications, 15 monographs, and numerous medals and awards to his name.
Nikolay M. Dmitriev, PhD, is a specialist in the area of fluid flow with many years of experience and publications under his belt. He is the head of the Department for International Education and Cooperation at the Ministry of Education of the Russian Federation.
George V. Chilingar, PhD, is an Emeritus Professor of Engineering at the University of Southern California, Los Angeles, CA. He is one of the most well-known petroleum geologists in the world and the founder of several prestigious journals in the oil and gas industry. He has published over 70 books and 500 articles and has received over 100 awards over his career.
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Table of Contents
Printed in the United States of America
10 9 8 7 6 5 4 3 2 1
Contents
Preface 13
PART I Fundamentals of the Mechanics of Continua 15
I Basic Concepts of the Mechanics of Continua 15
Introduction 15
1. Continuity hypothesis 15
2. Movement of continuous medium: description techniques 16
3. Local and substantive derivative 19
4. Scalar and vector fields 20
5. Forces and stresses in the continuous medium. Stress tensor 23
II Conservation Laws. Integral and Differential
Equations of Continuous Medium 27
1. Integral parameters of a continuous medium and the
conservation laws 27
2. Time differentiation of the integral taken over a movable volume 31
3. Continuity equation (law of mass conservation) 33
4. Motion equation under stress 35
5. Law of variation of kinetic momentum. Law of pairing of
tangential stresses 37
6. The law of conservation of energy 39
7. Theorem of variation of kinetic energy 41
8. Heat flow equation 43
9. Continuous medium motion equations 44
III Continuous Medium Deformation Rate 45
1. Small particle deformation rate. Helmholtz theorem 45
2. Tensor of the deformation velocity 49
3. Physical meaning of the deformation velocity tensor components 50
4. Tensor surface of a symmetric second rank tensor 51
5. Velocity circulation. Potential motion of the liquid 53
IV Liquids 57
1. Mathematical model of ideal fluid 57
2. Mathematical model of ideal incompressible fluid 59
3. Viscous fluid. Stress tensor in viscous fluid 61
4. Motion equations of viscous fluids 67
6 CONTENTS
5. Mathematical model of a viscous incompressible fluid 68
6. The work of internal forces. Equation of the heat inflow 70
V Basics of the Dimensionality and Conformity Theory 73
1. Systems of units. Dimensionality 73
2. Dimensionality formula 75
3. Values with independent dimensionalities 76
4. Ž -theorem 78
5. Conformity of physical phenomena, modeling 80
6. Parameters determining the class of phenomena 82
7. Examples of application of the Ž -theorem 83
8. Contraction of equations to dimensionless format 88
PART II Hydromechanics 91
VI Hydrostatics 91
1. Liquids and gas equilibrium equations 91
2. Equilibrium of a liquid in the gravitational field 92
3. Relative quiescence of fluid 95
4. Static pressure of liquid on firm surfaces 98
5. Elements of buoyancy theory 102
VII Flow of Ideal Fluid 105
1. Euler-- equations in the Gromeko-Lamb format 105
2. Bernoulli integral 107
3. Particular forms of Bernoulli-- integral 109
4. Simple applications of Bernoulli-- integral 114
5. Cauchy-Lagrange-- integral 116
6. Thomson-- theorem 119
7. Helmholtz equation 121
8. Potential flow of a incompressible fluid 124
9. Flow around the sphere 128
10. Applications of the of momentum law 131
VIII Parallel-Plane Flows of Ideal Incompressible Fluid 135
1. Complex-valued potential of flow 135
2. Examples of parallel-plane potential flows 137
3. Conformous reflection of flows 143
4. Zhukovsky-- transform 145
5. Flow-around an arbitrary profile 147
6. Forces acting on a profile under the stationary flow 149
IX Flow of Viscous Incompressible Fluid in Prismatic Tubes 153
1. Equations descring straight-line motion of a viscous
incompressible fluid in prismatic tubes 153
2. Straight-line flow between two parallel walls 156
CONTENTS 7
3. Straight-line flow within axisymmetric tubes 158
4. Equation of transient-free circular motion of a viscous fluid 161
5. Flow between two revolving cylinders 163
X Turbulent Flow of Fluids in Tubes 165
1. Reynolds--‚¬„¢ experiments 165
2. Averaging the parameters of turbulent flow 166
3. Reynolds--‚¬„¢ equations 168
4. Semi-empiric turbulency theory by L. Prandtl 169
5. Application of the dimensionality theory to the construction of
semi--‚¬€˜empirical
turbulence theories 172
6. Logarithmic law of velocity distribution 173
7. Experimental studies of hydraulic resistivity 176
XI Hydraulic Calculation for Pipelines 179
1. Bernoulli-- equation for a viscous fluid flow 179
2. Types of head loss 183
3. Designing simple pipelines 184
4. Designing complex pipelines 185
5. Pipelines performing under vacuum 188
XII Fluid-- Outflow from Orifices and Nozzles 191
1. Outflow from a small orifice 191
2. Outflow through nozzles 194
3. Outflow of fluid at variable level 198
XIII Non-Stationary Flow of Viscous Fluid in Tubes 201
1. Equations of the non-stationary fluid flow in tubes 201
2. Equation of non-stationary flow for slightly-compressible
fluid in tubes 208
3. Equations of non-stationary gas flow in tubes at low
subsonic velocities 210
4. Integrating equations of non-stationary fluid and gas flow
using the characteristics technique 212
5. Integrating linearized equations of non-stationary flow using
Laplace transformation 213
6. Examples of computing non-stationary flow in tubes 218
7. Hydraulic shock 223
8. Effect of flow instability on force of friction 227
XIV Laminar Boundary Layer 233
1. Equations of the boundary layer 234
2. Blasius problem 238
3. Detachment of the boundary layer 241
8 CONTENTS
XV Unidimensional Gas Flows 243
1. Sound velocity 243
2. Energy conservation law 246
3. Mach number. Velocity factor 248
4. Linkage between the flow tube-- cross-section area
and flow velocity 251
5. Gas outflow through a convergent nozzle 253
6. De Laval-- nozzle 255
7. Gas-dynamic functions 257
8. Shock waves 259
9. Computation of gas ejector 267
10. Transient-free gas flow in tubes 270
11. Shukhov-- equation 275
XVI Laminar Flow of Non-Newtonian Fluids 277
1. Simple shear 277
2. Classification of non-Newtonian fluids 280
3. Viscosimetry 282
4. Fluid flow in an infinitely-long round tube 283
5. Rotational fluid flow within a ring gap 286
6. Integral technique in viscosimetry 287
7. Hydraulic resistance factor 293
8. Additional remarks to the calculation of non-Newtonian
fluids flow in tubes 298
XVII Two-Phase Flow in Pipes 299
1. Equations of the conservation laws 300
2. Equations of two-phase mixture flow in tubes 301
3. Transformation of equations of two-phase flow in pipes 310
4. Flow regimes 312
5. Absolute open flow of a gas-condensate well 313
PART III Oil and Gas Subsurface Hydromechanics 317
XVIII Main Definitions and Concepts of Fluid and Gas Flow.
Darcy-- Law and Experiment 317
1. Specifics of fluid flow in natural reservoirs 317
2. Basic model concepts of the subsurface liquid
and gas hydrodynamics 319
3. Reservoir properties of porous bodies.
Porosity, specific surface area 321
4. Darcy-- experiment and Darcy-- law. Permeability.
The concept of true -- average flow velocity
and flow velocity 322
CONTENTS 9
5. Applicability limits of Darcy-- law. Analysis and
interpretation of experimental data 327
6. Nonlinear laws of filtration 330
7. Structural model of porous media 333
8. Darcy-- law for anisotropic media 338
XIX Mathematical Models of Uniphase Filtration 345
1. Introductory notes. The concept of the mathematical
model of a physical process 345
2. Mass conservation laws in a porous medium 347
3. Differential equation of fluid flow 349
4. Closing equations. Mathematical models of
isothermal filtration 350
5. Filtration model of noncompressible viscous fluid
under Darcy-- law in a non-deformable reservoir 351
6. Gas filtration model under Darcy-- law. Leibensohn-- function 353
7. Uniphase filtration models in non-deformable
reservoir under non-linear filtration laws 355
8. Correlation between fluid parameters and porous
medium parameters with pressure 356
XX Unidimensional Transient-Free Filtration of Noncompressible
Fluid and Gas in a Uniform Porous Medium 363
1. Schematics of unidimensional filtration flows 363
2. Rectiliner-parallel filtration of incompressible fluid 364
3. Radial-plane filtration of incompressible fluid 369
4. Radial-spherical filtration of incompressible fluid 374
5. Filtration similarity between incompressible
liquid and gas 376
6. Unidimensional filtration flow of ideal gas 378
7. Parallel-plane filtration flow of real gas under Darcy-- law 385
8. Radial-plane filtration flow of incompressible liquid
and gas under binomial filtration law 386
9. Radial-plane filtration flow on incompressible liquid
and gas under the exponential filtration law 391
XXI Unidimensional Filtration of Incompressible Liquid
and Gas in a Nonuniform Reservoirs Under Darcy-- Law 395
1. Major types of reservoir nonuniformities 395
2. Rectilinear-parallel flow within nonuniformly-laminated reservoir
397
3. Rectilinear-parallel flow in zonally-nonuniform bed 399
4. On the calculation of continuously-nonuniform reservoirs 403
10 CONTENTS
5. Radial-plane flow in a nonuniformly stratified reservoir 404
6. Rectilineal-parallel flow in a nonuniformly stratified reservoir 406
XXII Flat Transient-Free Filtration Flows 409
1. Major definitions and concepts 409
2. Potential of a point source and sink on an isotropic plane.
Superposition method 410
3. Liquid flow to a group of wells with the remote charge contour 412
4. Liquid inflow to a well in the reservoir with a rectilinear
charge contour 413
5. Liquid inflow to a well in the reservoir near the
impermeable boundary 416
6. Liquid inflow to a well positioned eccentrically
in a round reservoir 417
7. On the use of superposition technique at the gas filtration 419
8. Fluids inflow to infinite well lines and ring well rows 422
XXIII Non-Stationary Flow of an Elastic Fluid in an Elastic Reservoir 427
1. Elastic reservoir drive 427
2. Calculation of elastic fluid reserves of a reservoir 428
3. Mathematical model of the elastic fluid non-stationary filtration
in an elastic porous medium 430
4. Derivation of the differential equation of the elastic fluid
filtration in an elastic porous medium under Darcy-- law 431
5. Unidimensional filtration flows of an elastic fluid.
Point-solutions of the piezo-conductivity equation.
Main equation of the elastic drive theory 433
5.1. Rectilinear-parallel filtration flow of an elastic fluid 433
5.2. Rectilinear-parallel filtration flow of an elastic fluid.
The main equation of the elastic filtration regime theory 441
6. Approximate solution techniques of the elastic drive problems 446
6.1. Method of sequential change of stationary states 447
6.2. Pirverdian-- technique 452
6.3. Integral relationships technique 455
6.4. Averaging -- technique 458
7. Elastic fluid flow to an aggregate well 460
XXIV Non-Stationary Flow of Gas in a Porous Medium 469
1. Mathematical model of non-stationary gas filtration 469
2. Linearization of Leibensohn-- equation and the main
solution of linearized equation 472
3. Point solution of an automodel problem on axisymmetric
gas flow to a well with a constant flow-rate 476
CONTENTS 11
4. Solution of the problem of gas flow to a well using
sequential change of stationary states technique 478
5. Solution of the gas flow to well problem using
averaging technique 480
6. Application of superposition principle to problems
of non-stationary gas filtration 483
7. Approximate solution of gas production from closed
reservoir problems using the material balance equation 486
XXV Filtration of Non-Newtonian Liquid 489
1. Viscoplastic liquid: filtration law and mathematical model 489
2. Rectilinear-parallel filtration flow for the viscoplastic liquid 493
3. Rectilinear-parallel filtration flow of viscoplastic liquid
in a nonuniformly-laminated reservoir 497
4. Radial-plane filtration flow of viscoplastic liquid 498
5. Non-stationary filtration flow of viscoplastic liquid 501
7. Formation of bypass zones in the process
oil-by-water displacement 507
8. Specifics of viscoplastic liquid filtration
in anisotropic porous media 508
XXVI Liquid and Gas Flow in Fractured and Fractured-Porous Media 513
1. Specifics of filtration in fractured and fractured-porous media 513
2. Filtration laws in fractured media 515
3. Permeability vs. pressure in fractured
and fractured-porous media 519
4. On the fluid crossflow in fractured-porous media 521
5. Derivation of differential equations for liquids and gas flow
within the fractured and fractured-porous media 522
6. Stationary unidimensional liquids and gas filtration
in a fractured and fractured-porous reservoir 524
7. Non-stationary liquid and gas flow in fractured
and fractured-porous reservoirs 530
Appendix A 537
References 555
Subject Index
Back to Top
Printed in the United States of America
10 9 8 7 6 5 4 3 2 1
Contents
Preface 13
PART I Fundamentals of the Mechanics of Continua 15
I Basic Concepts of the Mechanics of Continua 15
Introduction 15
1. Continuity hypothesis 15
2. Movement of continuous medium: description techniques 16
3. Local and substantive derivative 19
4. Scalar and vector fields 20
5. Forces and stresses in the continuous medium. Stress tensor 23
II Conservation Laws. Integral and Differential
Equations of Continuous Medium 27
1. Integral parameters of a continuous medium and the
conservation laws 27
2. Time differentiation of the integral taken over a movable volume 31
3. Continuity equation (law of mass conservation) 33
4. Motion equation under stress 35
5. Law of variation of kinetic momentum. Law of pairing of
tangential stresses 37
6. The law of conservation of energy 39
7. Theorem of variation of kinetic energy 41
8. Heat flow equation 43
9. Continuous medium motion equations 44
III Continuous Medium Deformation Rate 45
1. Small particle deformation rate. Helmholtz theorem 45
2. Tensor of the deformation velocity 49
3. Physical meaning of the deformation velocity tensor components 50
4. Tensor surface of a symmetric second rank tensor 51
5. Velocity circulation. Potential motion of the liquid 53
IV Liquids 57
1. Mathematical model of ideal fluid 57
2. Mathematical model of ideal incompressible fluid 59
3. Viscous fluid. Stress tensor in viscous fluid 61
4. Motion equations of viscous fluids 67
6 CONTENTS
5. Mathematical model of a viscous incompressible fluid 68
6. The work of internal forces. Equation of the heat inflow 70
V Basics of the Dimensionality and Conformity Theory 73
1. Systems of units. Dimensionality 73
2. Dimensionality formula 75
3. Values with independent dimensionalities 76
4. Ž -theorem 78
5. Conformity of physical phenomena, modeling 80
6. Parameters determining the class of phenomena 82
7. Examples of application of the Ž -theorem 83
8. Contraction of equations to dimensionless format 88
PART II Hydromechanics 91
VI Hydrostatics 91
1. Liquids and gas equilibrium equations 91
2. Equilibrium of a liquid in the gravitational field 92
3. Relative quiescence of fluid 95
4. Static pressure of liquid on firm surfaces 98
5. Elements of buoyancy theory 102
VII Flow of Ideal Fluid 105
1. Euler-- equations in the Gromeko-Lamb format 105
2. Bernoulli integral 107
3. Particular forms of Bernoulli-- integral 109
4. Simple applications of Bernoulli-- integral 114
5. Cauchy-Lagrange-- integral 116
6. Thomson-- theorem 119
7. Helmholtz equation 121
8. Potential flow of a incompressible fluid 124
9. Flow around the sphere 128
10. Applications of the of momentum law 131
VIII Parallel-Plane Flows of Ideal Incompressible Fluid 135
1. Complex-valued potential of flow 135
2. Examples of parallel-plane potential flows 137
3. Conformous reflection of flows 143
4. Zhukovsky-- transform 145
5. Flow-around an arbitrary profile 147
6. Forces acting on a profile under the stationary flow 149
IX Flow of Viscous Incompressible Fluid in Prismatic Tubes 153
1. Equations descring straight-line motion of a viscous
incompressible fluid in prismatic tubes 153
2. Straight-line flow between two parallel walls 156
CONTENTS 7
3. Straight-line flow within axisymmetric tubes 158
4. Equation of transient-free circular motion of a viscous fluid 161
5. Flow between two revolving cylinders 163
X Turbulent Flow of Fluids in Tubes 165
1. Reynolds--‚¬„¢ experiments 165
2. Averaging the parameters of turbulent flow 166
3. Reynolds--‚¬„¢ equations 168
4. Semi-empiric turbulency theory by L. Prandtl 169
5. Application of the dimensionality theory to the construction of
semi--‚¬€˜empirical
turbulence theories 172
6. Logarithmic law of velocity distribution 173
7. Experimental studies of hydraulic resistivity 176
XI Hydraulic Calculation for Pipelines 179
1. Bernoulli-- equation for a viscous fluid flow 179
2. Types of head loss 183
3. Designing simple pipelines 184
4. Designing complex pipelines 185
5. Pipelines performing under vacuum 188
XII Fluid-- Outflow from Orifices and Nozzles 191
1. Outflow from a small orifice 191
2. Outflow through nozzles 194
3. Outflow of fluid at variable level 198
XIII Non-Stationary Flow of Viscous Fluid in Tubes 201
1. Equations of the non-stationary fluid flow in tubes 201
2. Equation of non-stationary flow for slightly-compressible
fluid in tubes 208
3. Equations of non-stationary gas flow in tubes at low
subsonic velocities 210
4. Integrating equations of non-stationary fluid and gas flow
using the characteristics technique 212
5. Integrating linearized equations of non-stationary flow using
Laplace transformation 213
6. Examples of computing non-stationary flow in tubes 218
7. Hydraulic shock 223
8. Effect of flow instability on force of friction 227
XIV Laminar Boundary Layer 233
1. Equations of the boundary layer 234
2. Blasius problem 238
3. Detachment of the boundary layer 241
8 CONTENTS
XV Unidimensional Gas Flows 243
1. Sound velocity 243
2. Energy conservation law 246
3. Mach number. Velocity factor 248
4. Linkage between the flow tube-- cross-section area
and flow velocity 251
5. Gas outflow through a convergent nozzle 253
6. De Laval-- nozzle 255
7. Gas-dynamic functions 257
8. Shock waves 259
9. Computation of gas ejector 267
10. Transient-free gas flow in tubes 270
11. Shukhov-- equation 275
XVI Laminar Flow of Non-Newtonian Fluids 277
1. Simple shear 277
2. Classification of non-Newtonian fluids 280
3. Viscosimetry 282
4. Fluid flow in an infinitely-long round tube 283
5. Rotational fluid flow within a ring gap 286
6. Integral technique in viscosimetry 287
7. Hydraulic resistance factor 293
8. Additional remarks to the calculation of non-Newtonian
fluids flow in tubes 298
XVII Two-Phase Flow in Pipes 299
1. Equations of the conservation laws 300
2. Equations of two-phase mixture flow in tubes 301
3. Transformation of equations of two-phase flow in pipes 310
4. Flow regimes 312
5. Absolute open flow of a gas-condensate well 313
PART III Oil and Gas Subsurface Hydromechanics 317
XVIII Main Definitions and Concepts of Fluid and Gas Flow.
Darcy-- Law and Experiment 317
1. Specifics of fluid flow in natural reservoirs 317
2. Basic model concepts of the subsurface liquid
and gas hydrodynamics 319
3. Reservoir properties of porous bodies.
Porosity, specific surface area 321
4. Darcy-- experiment and Darcy-- law. Permeability.
The concept of true -- average flow velocity
and flow velocity 322
CONTENTS 9
5. Applicability limits of Darcy-- law. Analysis and
interpretation of experimental data 327
6. Nonlinear laws of filtration 330
7. Structural model of porous media 333
8. Darcy-- law for anisotropic media 338
XIX Mathematical Models of Uniphase Filtration 345
1. Introductory notes. The concept of the mathematical
model of a physical process 345
2. Mass conservation laws in a porous medium 347
3. Differential equation of fluid flow 349
4. Closing equations. Mathematical models of
isothermal filtration 350
5. Filtration model of noncompressible viscous fluid
under Darcy-- law in a non-deformable reservoir 351
6. Gas filtration model under Darcy-- law. Leibensohn-- function 353
7. Uniphase filtration models in non-deformable
reservoir under non-linear filtration laws 355
8. Correlation between fluid parameters and porous
medium parameters with pressure 356
XX Unidimensional Transient-Free Filtration of Noncompressible
Fluid and Gas in a Uniform Porous Medium 363
1. Schematics of unidimensional filtration flows 363
2. Rectiliner-parallel filtration of incompressible fluid 364
3. Radial-plane filtration of incompressible fluid 369
4. Radial-spherical filtration of incompressible fluid 374
5. Filtration similarity between incompressible
liquid and gas 376
6. Unidimensional filtration flow of ideal gas 378
7. Parallel-plane filtration flow of real gas under Darcy-- law 385
8. Radial-plane filtration flow of incompressible liquid
and gas under binomial filtration law 386
9. Radial-plane filtration flow on incompressible liquid
and gas under the exponential filtration law 391
XXI Unidimensional Filtration of Incompressible Liquid
and Gas in a Nonuniform Reservoirs Under Darcy-- Law 395
1. Major types of reservoir nonuniformities 395
2. Rectilinear-parallel flow within nonuniformly-laminated reservoir
397
3. Rectilinear-parallel flow in zonally-nonuniform bed 399
4. On the calculation of continuously-nonuniform reservoirs 403
10 CONTENTS
5. Radial-plane flow in a nonuniformly stratified reservoir 404
6. Rectilineal-parallel flow in a nonuniformly stratified reservoir 406
XXII Flat Transient-Free Filtration Flows 409
1. Major definitions and concepts 409
2. Potential of a point source and sink on an isotropic plane.
Superposition method 410
3. Liquid flow to a group of wells with the remote charge contour 412
4. Liquid inflow to a well in the reservoir with a rectilinear
charge contour 413
5. Liquid inflow to a well in the reservoir near the
impermeable boundary 416
6. Liquid inflow to a well positioned eccentrically
in a round reservoir 417
7. On the use of superposition technique at the gas filtration 419
8. Fluids inflow to infinite well lines and ring well rows 422
XXIII Non-Stationary Flow of an Elastic Fluid in an Elastic Reservoir 427
1. Elastic reservoir drive 427
2. Calculation of elastic fluid reserves of a reservoir 428
3. Mathematical model of the elastic fluid non-stationary filtration
in an elastic porous medium 430
4. Derivation of the differential equation of the elastic fluid
filtration in an elastic porous medium under Darcy-- law 431
5. Unidimensional filtration flows of an elastic fluid.
Point-solutions of the piezo-conductivity equation.
Main equation of the elastic drive theory 433
5.1. Rectilinear-parallel filtration flow of an elastic fluid 433
5.2. Rectilinear-parallel filtration flow of an elastic fluid.
The main equation of the elastic filtration regime theory 441
6. Approximate solution techniques of the elastic drive problems 446
6.1. Method of sequential change of stationary states 447
6.2. Pirverdian-- technique 452
6.3. Integral relationships technique 455
6.4. Averaging -- technique 458
7. Elastic fluid flow to an aggregate well 460
XXIV Non-Stationary Flow of Gas in a Porous Medium 469
1. Mathematical model of non-stationary gas filtration 469
2. Linearization of Leibensohn-- equation and the main
solution of linearized equation 472
3. Point solution of an automodel problem on axisymmetric
gas flow to a well with a constant flow-rate 476
CONTENTS 11
4. Solution of the problem of gas flow to a well using
sequential change of stationary states technique 478
5. Solution of the gas flow to well problem using
averaging technique 480
6. Application of superposition principle to problems
of non-stationary gas filtration 483
7. Approximate solution of gas production from closed
reservoir problems using the material balance equation 486
XXV Filtration of Non-Newtonian Liquid 489
1. Viscoplastic liquid: filtration law and mathematical model 489
2. Rectilinear-parallel filtration flow for the viscoplastic liquid 493
3. Rectilinear-parallel filtration flow of viscoplastic liquid
in a nonuniformly-laminated reservoir 497
4. Radial-plane filtration flow of viscoplastic liquid 498
5. Non-stationary filtration flow of viscoplastic liquid 501
7. Formation of bypass zones in the process
oil-by-water displacement 507
8. Specifics of viscoplastic liquid filtration
in anisotropic porous media 508
XXVI Liquid and Gas Flow in Fractured and Fractured-Porous Media 513
1. Specifics of filtration in fractured and fractured-porous media 513
2. Filtration laws in fractured media 515
3. Permeability vs. pressure in fractured
and fractured-porous media 519
4. On the fluid crossflow in fractured-porous media 521
5. Derivation of differential equations for liquids and gas flow
within the fractured and fractured-porous media 522
6. Stationary unidimensional liquids and gas filtration
in a fractured and fractured-porous reservoir 524
7. Non-stationary liquid and gas flow in fractured
and fractured-porous reservoirs 530
Appendix A 537
References 555
Subject Index
Back to Top
BISAC SUBJECT HEADINGS
TEC047000: TECHNOLOGY & ENGINEERING / Petroleum
TEC009010: TECHNOLOGY & ENGINEERING / Chemical & Biochemical
SCI031000: SCIENCE / Earth Sciences / Geology
BIC CODES
THFP: Petroleum technology
TQ: ENVIRONMENTAL SCIENCE, ENGINEERING & TECHNOLOGY
RBGK: Geochemistry
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