Quantitative Methods in Reservoir Engineering

kingknight

英文原版，十分难得！值得拥有！

Contents

Preface, xi

1.  Motivating Ideas and Governing Equations, 1

Examples of incorrect  formulations, 3 Darcy’s equations for flow in porous media, 7 Logarithmic  solutions and beyond, 11 Fundamental aerodynamic analogies, 12 Problems and  exercises, 18

2. Fracture Flow Analysis, 19

Example 2-1. Single  straight-line fracture in an isotropic circular reservoir containing  incompressible fluid, 19 Example 2-2. Line fracture in an anisotropic  reservoir with incompressible liquids and compressible gases, 27 Example 2-3.  Effect of nonzero fracture thickness, 32 Example 2-4. Flow rate boundary  conditions, 34 Example 2-5. Uniform vertical velocity along the fracture, 35  Example 2-6. Uniform pressure along the fracture, 37 Example 2-7. More  general fracture pressure distributions, 38 Example 2-8. Velocity conditions  for gas flows, 39 Example 2-9. Determining velocity fields, 40 Problems and  exercises, 41

3. Flows Past Shaly Bodies, 43

Example 3-1. Straight-line  shale segment in uniform flow, 43 Example 3-2. Curved shale segment in  uniform flow, 49 Example 3-3. Mineralized faults, anisotropy, and gas flow,  49 Problems and exercises, 50

4. Streamline Tracing and Complex Variables, 52

Discussion 4-1. The classical  streamfunction, 52 Discussion 4-2. Streamfunction for general fluids in  heterogeneous and anisotropic formations, 55 Discussion 4-3. Subtle  differences between pressure and streamfunction formulations, 57 Discussion  4-4. Streamline tracing in the presence of multiple wells, 60

v

Discussion 4-5. Streamfunction  expressions for distributed line sources and vortexes, 63 Discussion 4-6.  Streamfunction solution using complex variables techniques, 65 Discussion  4-7. Circle Theorem: Exact solutions to Laplace’s equation, 66 Discussion  4-8. Generalized streamline tracing and volume flow rate computations, 68  Discussion 4-9. Streamline tracing in 3D flows, 70 Discussion 4-10. Tracer  movement in 3D reservoirs, 73 Fluid flow instabilities, 76 Problems and exercises,  78

5. Flows in Complicated Geometries, 79

What is conformal mapping? 80  Using “simple” complex variables, 82 Example 5-1. The classic radial flow  solution, 84 Example 5-2. Circular borehole with two symmetric radial  fractures, 86 Example 5-3. Circular borehole with two uneven, opposite,  radial fractures; or a single radial fracture, 88 Example 5-4. Circular  borehole with multiple radial fractures, 89 Example 5-5. Straight shale  segment at arbitrary angle, 91 Example 5-6. Infinite array of straight-line  shales, 94 Example 5-7. Pattern wells under aquifer drive, 95  Three-dimensional flows, 96 Example 5-8. Point spherical flow, 97 Example  5-9. Finite line source with prescribed pressure, 97 Example 5-10. Finite  line source with prescribed flow rate, 99 Example 5-11. Finite conductivity  producing fracture having limited areal extent, 100 Example 5-12. Finite  conductivity nonproducing fracture having limited areal extent, 101 Borehole  interactions, 101 Example 5-13. Producing fracture near multiple wells under  aquifer drive, 102 Example 5-14. Producing fractures near multiple wells in  solid wall reservoirs, 103 Example 5-15. Straight-line shale segment near  multiple wells in uniform flow, 104 Examples 5-16 and 5-17. Nonproducing  faults in solid wall and aquifer-driven reservoirs, 105 Example 5-18. Highly  curved fractures and shales, 106 Problems and exercises, 107

6. Radial Flow Analysis, 108

Example 6-1. Steady liquids in  homogeneous media, 108 Example 6-2. Simple front tracking for liquids in  homogeneous, isotropic media, 109

vi

Example 6-3. Steady-state gas  flows in homogeneous, isotropic media, 111 Transient compressible flows, 113  Example 6-4. Numerical solution for steady flow, 114 Example 6-5. Explicit  and implicit schemes for transient compressible liquids, 116 Example 6-6.  Transient compressible gas flows, 118 Problems and exercises, 121

7.     Finite Difference  Methods for Planar Flows, 122

Finite differences: basic  concepts, 122 Formulating steady flow problems, 126 Steady flow problems:  seven case studies, 128 Isotropy and anisotropy: fluid invasion in  cross-bedded sands, 153 Problems and exercises, 158

8.     Curvilinear  Coordinates and Numerical Grid Generation, 160

General coordinate  transformations, 162 Thompson’s mapping, 163 Some reciprocity relations, 164  Conformal mapping revisited, 165 Solution of mesh generation equations, 167  Problems and exercises, 172

9.     Steady-State  Reservoir Applications, 174

Governing equations, 176  Steady areal flow: generalized log r solution, 177 Streamline tracing in  curvilinear coordinates, 181 Calculated steady flow examples, 183 Example  9-1. Well in Houston, 184 Example 9-2. Well in Dallas, 189 Example 9-3. Well  in center of Texas, 190 Example 9-4. Fracture across Texas, 192 Example 9-5.  Isothermal and adiabatic gas flows, 194 Mesh generation: several remarks, 197  Problems and exercises, 201

10.  Transient Compressible Flows: Numerical Well  Test Simulation, 202

Example 10-1. Transient  pressure drawdown, 203 Example 10-2. Transient pressure buildup, 207 Problems  and exercises, 211

11.  Effective Properties  in Single and Multiphase Flows, 212

Example 11-1. Constant density  liquid in steady linear flow, 212 Example 11-2. Lineal multiphase flow in two  serial cores, 215 Example 11-3. Effective properties in steady cylindrical  flows, 219 Example 11-4. Steady, single-phase, heterogeneous flows, 219  Example 11-5. Time scale for compressible transients, 219 Problems and  exercises, 221

vii

12.  Modeling Stochastic  Heterogeneities, 222

Observations on existing models,  222 A mathematical strategy, 224 Example 12-1. Contractional fractures, 226  Problems and exercises, 228

13.  Real and Artificial  Viscosity, 229

Real viscosity and shockwaves,  229 Artificial viscosity and fictitious jumps, 232 Problems and exercises, 234

14.  Borehole Flow Invasion, Lost Circulation, and  Time Lapse Logging, 235

Borehole invasion modeling,  235 Example 14-1. Thin lossy muds (that is, water), 236 Example 14-2.  Time-dependent pressure differentials, 237 Example 14-3. Invasion with  mudcake effects, 237 Time lapse logging, 238 Lost circulation, 243 Problems  and exercises, 244

15.  Horizontal, Deviated, and Modern Multilateral  Well Analysis, 245

Fundamental issues and  problems, 246 Governing equations and numerical formulation, 252 Example calculations,  266 Example 15-1. Convergence acceleration, two deviated horizontal gas wells  in a channel sand, 267 Example 15-2. Dual-lateral horizontal completion in a  fractured, dipping, heterogeneous, layered formation, 270 Example 15-3.  Stratigraphic grids, drilling dome-shaped structures, 273 Example 15-4.  Simulating-while-drilling horizontal gas wells through a dome-shaped  reservoir, 275 Example 15-5. Modeling wellbore storage effects and  compressible borehole flow transients, 281 Problems and exercises, 287

16.  Fluid Mechanics of  Invasion, 288

Qualitative ideas on formation  invasion, 290 Background literature, 294 Darcy reservoir flow equations, 297  Moving fronts and interfaces, 303 Problems and exercises, 305

17.  Static and Dynamic  Filtration, 306

Simple flows without mudcake,  306 Flows with moving boundaries, 312 Coupled dynamical problems: mudcake and  formation interaction, 316 Dynamic filtration and borehole flow rheology, 325

viii

Concentric power law flows  without pipe rotation, 334 Concentric power law flows with pipe rotation, 336  Formation invasion at equilibrium mudcake thickness, 337 Dynamic filtration  in eccentric boreholes, 338 Problems and exercises, 340

18. Formation Tester Applications, 341

Problems and exercises, 351

19. Analytical Methods for Time Lapse Well Logging Analysis, 352

Experimental model validation,  352 Characterizing mudcake properties, 356 Porosity, permeability, oil  viscosity, and pore pressure determination, 360 Examples of time lapse  analysis, 367 Problems and exercises, 372

20. Complex Invasion Problems: Numerical Modeling, 373

Finite difference modeling,  373 Example 20-1. Lineal liquid displacement without mudcake, 381 Example  20-2. Cylindrical radial liquid displacement without cake, 386 Example 20-3.  Spherical radial liquid displacement without cake, 389 Example 20-4. Lineal  liquid displacement without mudcake, including compressible flow transients,  391 Example 20-5. Von Neumann stability of implicit time schemes, 393 Example  20-6. Gas displacement by liquid in lineal core without mudcake, including  compressible flow transients, 395 Example 20-7. Simultaneous mudcake buildup  and displacement front motion for incompressible liquid flows, 399 Problems  and exercises, 407

21. Forward and Inverse Multiphase Flow Modeling, 408

Immiscible Buckley-Leverett  lineal flows without capillary pressure, 409 Molecular diffusion in fluid  flows , 416 Immiscible radial flows with capillary pressure and prescribed  mudcake growth, 424 Immiscible flows with capillary pressure and dynamically  coupled mudcake growth, 438 Problems and exercises, 452

Cumulative References, 453

Index, 462

About the Author, 472

ix

缴洋洋1002

murongyunjie

目录等详细信息？