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Searching... | 30000010163239 | TN870.57 A26 2006 | Open Access Book | Book | Searching... |
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Summary
Summary
In this highly anticipated volume, the world-renowned authors take a basic approach to present the principles of petroleum reservoir simulation in an easy-to-use and accessible format. Applicable to any oil and gas recovery method, this book uses a block-centered grid and a point-distributed grid. It treats various boundary conditions as fictitious wells, gives algebraic equations for their flowrates and presents an elaborate treatment of radial grid for single-well simulation to analyze well test results and to create well pseudo-functions necessary in conducting a practical reservoir simulation study.
Author Notes
J.H. Abou-Kassem, PhD is a professor in the Department of Chemical and Petroleum Engineering at the United Arab Emirates University, Al-Ain, UAE
S.M. Farouq Ali, PhD is Honorary Professor of oil and gas engineering at the University of Calgary
M.R. Islan, PhD is a professor in the Department of Petroleum Engineering at Dalhousie University
Table of Contents
Preface | p. xi |
Introduction | p. xv |
Nomenclature | p. xvii |
1 Introduction | p. 1 |
1.1 Background | p. 1 |
1.2 Milestones for the Engineering Approach | p. 2 |
1.3 Importance of the Engineering and Mathematical Approaches | p. 4 |
1.4 Summary | p. 5 |
1.5 Exercises | p. 5 |
2 Single-Phase Fluid Flow Equations in Multidimensional Domain | p. 7 |
2.1 Introduction | p. 7 |
2.2 Properties of Single-Phase Fluid | p. 7 |
2.3 Properties of Porous Media | p. 8 |
2.4 Reservoir Discretization | p. 8 |
2.5 Basic Engineering Concepts | p. 9 |
2.6 Multidimensional Flow in Cartesian Coordinates | p. 11 |
2.7 Multidimensional Flow in Radial-Cylindrical Coordinates | p. 28 |
2.8 Summary | p. 36 |
2.9 Exercises | p. 36 |
3 Flow Equations Using CVFD Terminology | p. 43 |
3.1 Introduction | p. 43 |
3.2 Flow Equations Using CVFD Terminology | p. 43 |
3.3 Flow Equations in Radial-Cylindrical Coordinates Using CVFD Terminology | p. 54 |
3.4 Flow Equations Using CVFD Terminology in any Block Ordering Scheme | p. 57 |
3.5 Summary | p. 58 |
3.6 Exercises | p. 58 |
4 Simulation with a Block-Centered Grid | p. 63 |
4.1 Introduction | p. 63 |
4.2 Reservoir Discretization | p. 63 |
4.3 Flow Equation for Boundary Gridblocks | p. 66 |
4.4 Treatment of Boundary Conditions | p. 73 |
4.5 Calculation of Transmissibilities | p. 87 |
4.6 Symmetry and Its Use in Solving Practical Problems | p. 110 |
4.7 Summary | p. 115 |
4.8 Exercises | p. 117 |
5 Simulation with a Point-Distributed Grid | p. 123 |
5.1 Introduction | p. 123 |
5.2 Reservoir Discretization | p. 123 |
5.3 Flow Equation for Boundary Gridpoints | p. 126 |
5.4 Treatment of Boundary Conditions | p. 135 |
5.5 Calculation of Transmissibilities | p. 152 |
5.6 Symmetry and Its Use in Solving Practical Problems | p. 169 |
5.7 Summary | p. 173 |
5.8 Exercises | p. 175 |
6 Well Representation in Simulators | p. 181 |
6.1 Introduction | p. 181 |
6.2 Single-Block Wells | p. 181 |
6.3 Multiblock Wells | p. 192 |
6.4 Practical Considerations Dealing with Modeling Well Operating Conditions | p. 203 |
6.5 Summary | p. 204 |
6.6 Exercises | p. 204 |
7 Single-Phase Flow Equation for Various Fluids | p. 207 |
7.1 Introduction | p. 207 |
7.2 Pressure Dependence of Fluid and Rock Properties | p. 207 |
7.3 General Single-Phase Flow Equation in Multi Dimensions | p. 209 |
7.4 Summary | p. 276 |
7.5 Exercises | p. 276 |
8 Linearization of Flow Equations | p. 283 |
8.1 Introduction | p. 283 |
8.2 Nonlinear Terms in Flow Equations | p. 283 |
8.3 Nonlinearity of Flow Equations For Various Fluids | p. 284 |
8.4 Linearization of Nonlinear Terms | p. 288 |
8.5 Linearized Flow Equations in Time | p. 293 |
8.6 Summary | p. 319 |
8.7 Exercises | p. 321 |
9 Methods of Solution of Linear Equations | p. 325 |
9.1 Introduction | p. 325 |
9.2 Direct Solution Methods | p. 325 |
9.3 Iterative Solution Methods | p. 337 |
9.4 Summary | p. 361 |
9.5 Exercises | p. 361 |
10 Introduction to Modeling Multiphase Flow in Petroleum Reservoirs | p. 365 |
10.1 Introduction | p. 365 |
10.2 Reservoir Engineering Concepts in Multiphase Flow | p. 365 |
10.3 Multiphase Flow Models | p. 375 |
10.4 Solution of Multiphase Flow Equations | p. 393 |
10.5 Material Balance Checks | p. 414 |
10.6 Advancing Solution in Time | p. 414 |
10.7 Summary | p. 416 |
10.8 Exercises | p. 416 |
A User's Manual for Single-Phase Simulator | p. 421 |
A.1 Introduction | p. 421 |
A.2 Data File Preparation | p. 421 |
A.3 Description of Variables Used in Preparing a Data File | p. 423 |
A.4 Instructions to Run Simulator | p. 430 |
A.5 Limitations Imposed on the Compiled Version | p. 430 |
A.6 Example of a Prepared Data File | p. 431 |
References | p. 433 |
Author Index | p. 437 |
Subject Index | p. 439 |