Quantitative Methods in Reservoir Engineering

✍ Scribed by Wilson C. Chin PhD

• Publisher: Gulf Professional Publishing
• Year: 2002
• Tongue: English
• Leaves: 489
• Edition: 1st
• Category: Library

✦ Synopsis

For the practitioner, this volume is a valuable tool for predicting reservoir flow in the most efficient and profitable manner possible, using quantitative methods rather than anecdotal and outdated methods. For the student, this volume offers insight not covered in other textbooks.Too many approaches in traditional petroleum engineering are based on "ad hoc" and "common sense" methods that have no rigorous mathematical basis. Most textbooks dealing with reservoir engineering do not go into the necessary mathematical detail and depth. This new book by Wilson Chin, a revision of two earlier books published by Gulf Publishing, Modern Reservoir Flow and Well Transient Analysis and Formation Invasion, integrates rigorous mathematical methods for simulating and predicting reservoir flow both near and away from the well.Predicts reservoir flow to maximize resources, time, and profitsIncludes problems and solutions for studentsPresents mathematical models in an easy-to-understand and easy-to-simulate format.

✦ Table of Contents

1. Streamline Tracing and Complex Variables, 52......Page 1
   6. Radial Flow Analysis, 108......Page 2
   11. Effective Properties in Single and Multiphase Flows, 212......Page 3
   17. Static and Dynamic Filtration, 306......Page 4
   About the Author, 472......Page 5
   Preface......Page 6
   1 Motivating Ideas and Governing Equations......Page 10
   EXAMPLES OF INCORRECT FORMULATIONS......Page 12
   THOMPSON’S MAPPING......Page 0
   LOGARITHMIC SOLUTIONS AND BEYOND......Page 20
   FUNDAMENTAL AERODYNAMIC ANALOGIES......Page 21
   Example 2-1. Single straight-line fracture in an isotropic circular reservoir containing incompressible fluid.......Page 28
   Example 2-2. Line fracture in an anisotropic reservoir with incompressible liquids and compressible gases.......Page 36
   Example 2-3. Effect of nonzero fracture thickness.......Page 41
   Example 2-4. Flow rate boundary conditions.......Page 43
   Example 2- 5. Uniform vertical velocity along the fracture.......Page 44
   Example 2-6. Uniform pressure along the fracture.......Page 46
   Example 2-7. More general fracture pressure distributions.......Page 47
   Example 2-8. Velocity conditions for gas flows.......Page 48
   Example 2-9. Determining velocity fields.......Page 49
   Example 3- 1. Straight- line shale segment in uniform flow.......Page 52
   Example 3- 3. Mineralized faults, anisotropy, and gas flow.......Page 58
   Discussion 4-1. The classical streamfunction.......Page 61
   Discussion 4-2. Streamfunction for general fluids in heterogeneous and anisotropic formations.......Page 64
   Discussion 4- 3. Subtle differences between pressure and streamfunction formulations.......Page 66
   Discussion 4-4. Streamline tracing in the presence of multiple wells.......Page 69
   Discussion 4-5. Streamfunction expressions for distributed line sources and vortexes.......Page 72
   Discussion 4-6. Streamfunction solution using complex variables techniques.......Page 74
   Discussion 4-8. Generalized streamline tracing and volume flow rate computations.......Page 77
   Discussion 4-9. Streamline tracing in 3D flows.......Page 79
   Discussion 4-10. Tracer movement in 3D reservoirs.......Page 82
   FLUID FLOW INSTABILITIES......Page 85
   5 Flows in Complicated Geometries......Page 88
   WHAT IS CONFORMAL MAPPING?......Page 89
   Example 5-1. The classic radial flow solution.......Page 93
   Example 5-2. Circular borehole with two symmetric radial fractures.......Page 95
   Example 5- 3. Circular borehole with two uneven, opposite, radial fractures; or, a single radial fracture.......Page 97
   Example 5-4. Circular borehole with multiple radial fractures.......Page 98
   Example 5- 5. Straight shale segment at arbitrary angle.......Page 100
   Example 5-6. Infinite array of straight-line shales.......Page 103
   Example 5- 7. Pattern wells under aquifer drive.......Page 104
   THREE- DIMENSIONAL FLOWS......Page 105
   Example 5-9. Finite line source with prescribed pressure.......Page 106
   Example 5- 10. Finite line source with prescribed flow rate.......Page 108
   Example 5-11. Finite conductivity producing fracture having limited areal extent.......Page 109
   BOREHOLE INTERACTIONS......Page 110
   Example 5-13. Producing fracture near multiple wells under aquifer drive.......Page 111
   Example 5- 14. Producing fractures near multiple wells in solid wall reservoirs.......Page 112
   Example 5- 15. Straight- line shale segment near multiple wells in uniform flow.......Page 113
   Examples 5- 16 and 5- 17. Nonproducing faults in solid wall and aquifer- driven reservoirs.......Page 114
   Example 5-18. Highly curved fractures and shales.......Page 115
   Example 6- 1. Steady liquids in homogeneous media.......Page 117
   Example 6-2. Simple front tracking for liquids in homogeneous, isotropic media.......Page 118
   Example 6- 3. Steady- state gas flows in homogeneous, isotropic media.......Page 120
   TRANSIENT COMPRESSIBLE FLOWS......Page 122
   Example 6-4. Numerical solution for steady flow.......Page 123
   Example 6- 5. Explicit and implicit schemes for transient compressible liquids.......Page 125
   Example 6-6. Transient compressible gas flows.......Page 127
   FINITE DIFFERENCES: BASIC CONCEPTS......Page 131
   FORMULATING STEADY FLOW PROBLEMS......Page 135
   STEADY FLOW PROBLEMS: SEVEN CASE STUDIES......Page 137
   WELLS AND INTERNAL BOUNDARIES......Page 145
   POINT RELAXATION METHODS......Page 149
   OBSERVATIONS ON RELAXATION METHODS......Page 152
   ISOTROPY AND ANISOTROPY: FLUID INVASION IN CROSS- BEDDED SANDS......Page 162
   8 Curvilinear Coordinates and Numerical Grid Generation......Page 169
   GENERAL COORDINATE TRANSFORMATIONS......Page 171
   SOME RECIPROCITY RELATIONS......Page 173
   CONFORMAL MAPPING REVISITED......Page 174
   SOLUTION OF MESH GENERATION EQUATIONS......Page 176
   9 Steady-State Reservoir Applications......Page 183
   GOVERNING EQUATIONS......Page 185
   STEADY AREAL FLOW: GENERALIZED LOG R SOLUTION......Page 186
   STREAMLINE TRACING IN CURVILINEAR COORDINATES......Page 190
   CALCULATED STEADY FLOW EXAMPLES......Page 192
   Example 9-1. Well in Houston.......Page 193
   Example 9-2. Well in Dallas.......Page 198
   Example 9-3. Well in center of Texas.......Page 199
   Example 9-4. Fracture across Texas.......Page 201
   Example 9-5. Isothermal and adiabatic gas flows.......Page 203
   MESH GENERATION: SEVERAL REMARKS......Page 206
   10 Transient Compressible Flows: Numerical Well Test Simulation......Page 211
   Example 10- 1. Transient pressure drawdown.......Page 212
   Example 10-2. Transient pressure buildup.......Page 216
   Example 11- 1. Constant density liquid in steady linear flow.......Page 221
   Example 11-2. Lineal multiphase flow in two serial cores.......Page 224
   Example 11-5. Time scale for compressible transients.......Page 228
   OBSERVATIONS ON EXISTING MODELS......Page 231
   A MATHEMATICAL STRATEGY......Page 233
   Example 12-1. Contractional fractures.......Page 235
   REAL VISCOSITY AND SHOCKWAVES......Page 238
   ARTIFICIAL VISCOSITY AND FICTITIOUS JUMPS......Page 241
   BOREHOLE INVASION MODELING......Page 244
   Example 14-1. Thin lossy muds (that is, water).......Page 245
   Example 14-3. Invasion with mudcake effects.......Page 246
   TIME LAPSE LOGGING......Page 247
   LOST CIRCULATION......Page 252
   15 Horizontal, Deviated, and Modern Multilateral Well Analysis......Page 254
   FUNDAMENTAL ISSUES AND PROBLEMS......Page 255
   GOVERNING EQUATIONS AND NUMERICAL FORMULATION......Page 261
   EXAMPLE CALCULATIONS......Page 275
   Example 15- 1. Convergence acceleration, two deviated horizontal gas wells in a channel sand.......Page 276
   Example 15- 2. Dual- lateral horizontal completion in a fractured, dipping, heterogeneous, layered formation.......Page 279
   Example 15-3. Stratigraphic grids, drilling dome-shaped structures.......Page 282
   Example 15- 4. Simulating- while- drilling horizontal gas wells through a dome- shaped reservoir.......Page 284
   Example 15- 5. Modeling wellbore storage effects and compressible borehole flow transients.......Page 290
   16 Fluid Mechanics of Invasion......Page 297
   QUALITATIVE IDEAS ON FORMATION INVASION......Page 299
   BACKGROUND LITERATURE......Page 303
   DARCY RESERVOIR FLOW EQUATIONS......Page 306
   MOVING FRONTS AND INTERFACES......Page 312
   SIMPLE FLOWS WITHOUT MUDCAKE......Page 315
   FLOWS WITH MOVING BOUNDARIES......Page 321
   COUPLED DYNAMICAL PROBLEMS: MUDCAKE AND FORMATION INTERACTION......Page 325
   DYNAMIC FILTRATION AND BOREHOLE FLOW RHEOLOGY......Page 334
   CONCENTRIC POWER LAW FLOWS WITHOUT PIPE ROTATION......Page 343
   CONCENTRIC POWER LAW FLOWS WITH DRILLPIPE ROTATION......Page 345
   FORMATION INVASION AT EQUILIBRIUM MUDCAKE THICKNESS......Page 346
   DYNAMIC FILTRATION IN ECCENTRIC BOREHOLES......Page 347
   18 Formation Tester Applications......Page 350
   EXPERIMENTAL MODEL VALIDATION......Page 361
   CHARACTERIZING MUDCAKE PROPERTIES......Page 365
   POROSITY, PERMEABILITY, OIL VISCOSITY, AND PORE PRESSURE DETERMINATION......Page 369
   EXAMPLES OF TIME LAPSE ANALYSIS......Page 376
   FINITE DIFFERENCE MODELING......Page 382
   Example 20- 1. Lineal liquid displacement without mudcake.......Page 390
   Example 20- 2. Cylindrical radial liquid displacement without cake.......Page 395
   Example 20- 3. Spherical radial liquid displacement without cake.......Page 398
   Example 20- 4. Lineal liquid displacement without mudcake, including compressible flow transients.......Page 400
   Example 20-5. Von Neumann stability of implicit time schemes.......Page 402
   Example 20-6. Gas displacement by liquid in lineal core without mudcake, including compressible flow transients.......Page 404
   Example 20- 7. Simultaneous mudcake buildup and displacement front motion for incompressible liquid flows.......Page 408
   21 Forward and Inverse Multiphase Flow Modeling......Page 417
   IMMISCIBLE BUCKLEY- LEVERETT LINEAL FLOWS WITHOUT CAPILLARY PRESSURE......Page 418
   MOLECULAR DIFFUSION IN FLUID FLOWS......Page 425
   IMMISCIBLE RADIAL FLOWS WITH CAPILLARY PRESSURE AND PRESCRIBED MUDCAKE GROWTH......Page 433
   IMMISCIBLE FLOWS WITH CAPILLARY PRESSURE AND DYNAMICALLY COUPLED MUDCAKE GROWTH......Page 447
   Cumulative References......Page 462
   Index......Page 471
   About the Author......Page 481
   

✦ Subjects

Химия и химическая промышленность;Матметоды и моделирование в химии;