Book Details

Chapter 1: Introduction 1.1 Background1.2 Milestones for the Engineering Approach1.3 Importance of the Engineering and Mathematical Approaches1.4 Summary1.5 ExercisesChapter 2: Single-Phase Fluid Flow Equations in Multidimensional Domain 2.1 Introduction2.2 Properties of Single-Phase Fluid2.3 Properties of Porous Media2.4 Reservoir Discretization2.5 Basic Engineering Concepts2.6 Multidimensional Flow in Cartesian Coordinates2.7 Multidimensional Flow in Radial-Cylindrical Coordinates2.8 Summary 2.9 Exercises Chapter 3: Flow Equations Using CVFD Terminology 3.1 Introduction3.2 Flow Equations Using CVFD Terminology3.3 Flow Equations in Radial-Cylindrical Coordinates Using CVFD Terminology3.4 Flow Equations Using CVFD Terminology in any Block Ordering Scheme3.5 Summary3.6 ExercisesChapter 4: Simulation with a Block-Centered Grid 4.1 Introduction4.2 Reservoir Discretization4.3 Flow Equation for Boundary Gridblocks4.4 Treatment of Boundary Conditions4.5 Calculation of Transmissibilities4.6 Symmetry and Its Use in Solving Practical Problems4.7 Summary4.8 ExercisesChapter 5: Simulation with a Point-Distributed Grid 5.1 Introduction5.2 Reservoir Discretization5.3 Flow Equation for Boundary Gridpoints5.4 Treatment of Boundary Conditions5.5 Calculation of Transmissibilities5.6 Symmetry and Its Use in Solving Practical Problems5.7 SummaryChapter 6 Well Representation in Simulators 6.1 Introduction6.2 Single-Block Wells6.3 Multiblock Wells6.4 Practical Considerations Dealing with Modeling Well Operating Conditions6.5 Summary6.6 ExercisesChapter 7 Single-Phase Flow Equation for Various Fluids 7.1 Introduction7.2 Pressure Dependence of Fluid and Rock Properties7.3 General Single-Phase Flow Equation in Multi Dimensions7.4 Summary7.5 ExercisesChapter 8 Linearization of Flow Equations 8.1 Introduction8.2 Nonlinear Terms in Flow Equations8.3 Nonlinearity of Flow Equations For Various Fluids8.4 Linearization of Nonlinear Terms 8.5 Linearized Flow Equations in Time8.6 Summary8.7 ExercisesChapter 9 Methods of Solution of Linear Equations 9.1 Introduction9.2 Direct Solution Methods9.3 Iterative Solution Methods9.4 Summary9.5 ExercisesChapter 10 Introduction to Modeling Multiphase Flow in Petroleum Reservoirs 10.1 Introduction10.2 Reservoir Engineering Concepts in Multiphase Flow10.3 Multiphase Flow Models10.4 Solution of Multiphase Flow Equations10.5 Material Balance Checks10.6 Advancing Solution in Time10.7 Summary10.8 ExercisesChapter 11 Practical guidelines for a model developer and user11.1 Data entry and filtering11.2 History matching11.3 Numerical instability11.4 Avoiding spurious solutions11.5 Scaling (time and space)11.6 SummaryChapter 12 Decision TreeGlossaryA User’s Manual for Single-Phase SimulatorA.1 IntroductionA.2 Data File PreparationA.3 Description of Variables Used in Preparing a Data FileA.4 Instructions to Run Simulator A.5 Limitations Imposed on the Compiled Version A.6 Example of a Prepared Data File