Chapter 1: Introduction
1.1 Background
1.2 Milestones for the Engineering Approach
1.3 Importance of the Engineering and Mathematical Approaches
1.4 Summary
1.5 Exercises
Chapter 2: Single-Phase Fluid Flow Equations in Multidimensional Domain
2.1 Introduction
2.2 Properties of Single-Phase Fluid
2.3 Properties of Porous Media
2.4 Reservoir Discretization
2.5 Basic Engineering Concepts
2.6 Multidimensional Flow in Cartesian Coordinates
2.7 Multidimensional Flow in Radial-Cylindrical Coordinates
2.8 Summary
2.9 Exercises
Chapter 3: Flow Equations Using CVFD Terminology
3.1 Introduction
3.2 Flow Equations Using CVFD Terminology
3.3 Flow Equations in Radial-Cylindrical Coordinates Using CVFD Terminology
3.4 Flow Equations Using CVFD Terminology in any Block Ordering Scheme
3.5 Summary
3.6 Exercises
Chapter 4: Simulation with a Block-Centered Grid
4.1 Introduction
4.2 Reservoir Discretization
4.3 Flow Equation for Boundary Gridblocks
4.4 Treatment of Boundary Conditions
4.5 Calculation of Transmissibilities
4.6 Symmetry and Its Use in Solving Practical Problems
4.7 Summary
4.8 Exercises
Chapter 5: Simulation with a Point-Distributed Grid
5.1 Introduction
5.2 Reservoir Discretization
5.3 Flow Equation for Boundary Gridpoints
5.4 Treatment of Boundary Conditions
5.5 Calculation of Transmissibilities
5.6 Symmetry and Its Use in Solving Practical Problems
5.7 Summary
Chapter 6 Well Representation in Simulators
6.1 Introduction
6.2 Single-Block Wells
6.3 Multiblock Wells
6.4 Practical Considerations Dealing with Modeling Well Operating Conditions
6.5 Summary
6.6 Exercises
Chapter 7 Single-Phase Flow Equation for Various Fluids
7.1 Introduction
7.2 Pressure Dependence of Fluid and Rock Properties
7.3 General Single-Phase Flow Equation in Multi Dimensions
7.4 Summary
7.5 Exercises
Chapter 8 Linearization of Flow Equations
8.1 Introduction
8.2 Nonlinear Terms in Flow Equations
8.3 Nonlinearity of Flow Equations For Various Fluids
8.4 Linearization of Nonlinear Terms
8.5 Linearized Flow Equations in Time
8.6 Summary
8.7 Exercises
Chapter 9 Methods of Solution of Linear Equations
9.1 Introduction
9.2 Direct Solution Methods
9.3 Iterative Solution Methods
9.4 Summary
9.5 Exercises
Chapter 10 Introduction to Modeling Multiphase Flow in Petroleum Reservoirs
10.1 Introduction
10.2 Reservoir Engineering Concepts in Multiphase Flow
10.3 Multiphase Flow Models
10.4 Solution of Multiphase Flow Equations
10.5 Material Balance Checks
10.6 Advancing Solution in Time
10.7 Summary
10.8 Exercises
Chapter 11 Practical guidelines for a model developer and user
11.1 Data entry and filtering
11.2 History matching
11.3 Numerical instability
11.4 Avoiding spurious solutions
11.5 Scaling (time and space)
11.6 Summary
Chapter 12 Decision Tree
Glossary
A User’s Manual for Single-Phase Simulator
A.1 Introduction
A.2 Data File Preparation
A.3 Description of Variables Used in Preparing a Data File
A.4 Instructions to Run Simulator
A.5 Limitations Imposed on the Compiled Version
A.6 Example of a Prepared Data File