Petroleum Reservoir Simulations: A Basic Approach

Front Matter......Page 1
Introduction......Page 7
Preface......Page 4
Author Index......Page 0
Table of Contents......Page 9
1.1 Background......Page 13
1.2 Milestones for the Engineering Approach......Page 14
1.3 Importance of the Engineering and Mathematical Approaches......Page 16
1.5 Exercises......Page 17
2.2 Properties of Single-Phase Fluid......Page 19
2.4 Reservoir Discretization......Page 20
2.5 Basic Engineering Concepts......Page 21
2.6 Multidimensional Flow in Cartesian Coordinates......Page 23
2.7 Multidimensional Flow in Radial-Cylindrical Coordinates......Page 40
2.9 Exercises......Page 48
3.2 Flow Equations Using CVFD Terminology......Page 54
3.3 Flow Equations in Radial-Cylindrical Coordinates Using CVFD Terminology......Page 65
3.4 Flow Equations Using CVFD Terminology in any Block Ordering Scheme......Page 68
3.6 Exercises......Page 69
4.2 Reservoir Discretization......Page 73
4.3 Flow Equation for Boundary Gridblocks......Page 76
4.4 Treatment of Boundary Conditions......Page 83
4.5 Calculation of Transmissibilities......Page 97
4.6 Symmetry and Its Use in Solving Practical Problems......Page 120
4.7 Summary......Page 125
4.8 Exercises......Page 127
5.2 Reservoir Discretization......Page 133
5.3 Flow Equation for Boundary Gridpoints......Page 136
5.4 Treatment of Boundary Conditions......Page 145
5.5 Calculation of Transmissibilities......Page 162
5.6 Symmetry and Its Use in Solving Practical Problems......Page 179
5.7 Summary......Page 183
5.8 Exercises......Page 185
6.2 Single-Block Wells......Page 191
6.3 Multiblock Wells......Page 202
6.4 Practical Considerations Dealing with Modeling Well Operating Conditions......Page 213
6.6 Exercises......Page 214
7.2 Pressure Dependence of Fluid and Rock Properties......Page 216
7.3 General Single-Phase Flow Equation in Multi Dimensions......Page 218
7.5 Exercises......Page 285
8.2 Nonlinear Terms in Flow Equations......Page 292
8.3 Nonlinearity of Flow Equations For Various Fluids......Page 293
8.4 Linearization of Nonlinear Terms......Page 297
8.5 Linearized Flow Equations in Time......Page 302
8.6 Summary......Page 328
8.7 Exercises......Page 330
9.2 Direct Solution Methods......Page 333
9.3 Iterative Solution Methods......Page 345
9.5 Exercises......Page 369
10.2 Reservoir Engineering Concepts in Multiphase Flow......Page 373
10.3 Multiphase Flow Models......Page 383
10.4 Solution of Multiphase Flow Equations......Page 401
10.6 Advancing Solution in Time......Page 422
10.8 Exercises......Page 424
A.2 Data File Preparation......Page 429
A.3 Description of Variables Used in Preparing a Data File......Page 431
A.5 Limitations Imposed on the Compiled Version......Page 438
A.6 Example of a Prepared Data File......Page 439
Author Index......Page 441
Nomenclature......Page 442
References......Page 459
C......Page 462
E......Page 463
G......Page 464
L......Page 465
P-Q......Page 466
S......Page 467
W-Z......Page 468