An Introduction to Petroleum Reservoir Simulation is aimed toward graduate students and professionals in the oil and gas industry working in reservoir simulation. It begins with a review of fluid and rock properties and derivation of basic reservoir engineering mass balance equations. Then equations and approaches for numerical reservoir simulation are introduced. The text starts with simple problems (1D, single phase flow in homogeneous reservoirs with constant rate wells) and subsequent chapters slowly add complexities (heterogeneities, nonlinearities, multi-dimensions, multiphase flow, and multicomponent flow). Partial differential equations and finite differences are then introduced but it will be shown that algebraic mass balances can also be written directly on discrete grid blocks that result in the same equations. Many completed examples and figures will be included to improve understanding.
An Introduction to Petroleum Reservoir Simulation is designed for those with their first exposure to reservoir simulation, including graduate students in their first simulation course and working professionals who are using reservoir simulators and want to learn more about the basics.
1. 3.1 Introduction - p. 57 2. 3.2 Taylor series and finite differences - p. 57 3. 3.3 Discretization of the parabolic diffusivity (heat) equation - p. 68 4. 3.4 Boundary and initial conditions - p. 70 5. 3.5 Solution methods - p. 72 6. 3.6 Stability and convergence - p. 83 7. 3.7 Higher-order approximations - p. 84 8. 3.8 Pseudocode for 1D, single-phase flow - p. 88 9. 3.9 Exercises - p. 89 10. References - p. 91 11. Chapter 4: Multidimensional reservoir domains, the control volume approach, and heterogeneities - p. 93 12. Chapter 5: Radial flow, wells, and well models - p. 127 13. Chapter 6: Nonlinearities in single-phase flow through subsurface porous media - p. 151 14. Chapter 7: Component transport in porous media - p. 175 15. Chapter 8: Numerical solution to single-phase component transport - p. 201 16. Chapter 9: Numerical solution to the black oil model - p. 231 17. 9.1 Introduction - p. 231 18. 9.2 The black oil model - p. 231 19. 9.3 Finite difference equations for multiphase flow - p. 233 20. 9.4 Solution methods - p. 237 21. 9.5 Interblock transmissibilities and upwinding - p. 248 22. 9.6 Stability - p. 255 23. 9.7 Wells and well models - p. 256 24. 9.8 Pseudocode for multiphase flow - p. 271 25. 9.9 Exercises - p. 271 26. References - p. 271 27. Chapter 10: Numerical solution to multiphase, multicomponent transport - p. 283 28. Index - p. 318
An Introduction to Petroleum Reservoir Simulation is aimed toward graduate students and professionals in the oil and gas industry working in reservoir simulation. It begins with a review of fluid and rock properties and derivation of basic reservoir engineering mass balance equations. Then equations and approaches for numerical reservoir simulation are introduced. The text starts with simple problems (1D, single phase flow in homogeneous reservoirs with constant rate wells) and subsequent chapters slowly add complexities (heterogeneities, nonlinearities, multi-dimensions, multiphase flow, and multicomponent flow). Partial differential equations and finite differences are then introduced but it will be shown that algebraic mass balances can also be written directly on discrete grid blocks that result in the same equations. Many completed examples and figures will be included to improve understanding.
An Introduction to Petroleum Reservoir Simulation is designed for those with their first exposure to reservoir simulation, including graduate students in their first simulation course and working professionals who are using reservoir simulators and want to learn more about the basics.
1. 3.1 Introduction - p. 57 2. 3.2 Taylor series and finite differences - p. 57 3. 3.3 Discretization of the parabolic diffusivity (heat) equation - p. 68 4. 3.4 Boundary and initial conditions - p. 70 5. 3.5 Solution methods - p. 72 6. 3.6 Stability and convergence - p. 83 7. 3.7 Higher-order approximations - p. 84 8. 3.8 Pseudocode for 1D, single-phase flow - p. 88 9. 3.9 Exercises - p. 89 10. References - p. 91 11. Chapter 4: Multidimensional reservoir domains, the control volume approach, and heterogeneities - p. 93 12. Chapter 5: Radial flow, wells, and well models - p. 127 13. Chapter 6: Nonlinearities in single-phase flow through subsurface porous media - p. 151 14. Chapter 7: Component transport in porous media - p. 175 15. Chapter 8: Numerical solution to single-phase component transport - p. 201 16. Chapter 9: Numerical solution to the black oil model - p. 231 17. 9.1 Introduction - p. 231 18. 9.2 The black oil model - p. 231 19. 9.3 Finite difference equations for multiphase flow - p. 233 20. 9.4 Solution methods - p. 237 21. 9.5 Interblock transmissibilities and upwinding - p. 248 22. 9.6 Stability - p. 255 23. 9.7 Wells and well models - p. 256 24. 9.8 Pseudocode for multiphase flow - p. 271 25. 9.9 Exercises - p. 271 26. References - p. 271 27. Chapter 10: Numerical solution to multiphase, multicomponent transport - p. 283 28. Index - p. 318
