Well Test Analysis for Multilayered Reservoirs with Formation Crossflow introduces the fundamentals of well test analysis of a multilayered reservoir with formation crossflow. The effects of reservoir parameters on wellbore pressure and flow rate are examined, as is a proper method that has been established to analyze well test data that leads to better determinations on the reservoir parameters for each layer of the reservoir.
Focusing on multilayer models for data analysis, this reference explains the reasons for the existence of single-phase crossflow in multilayer reservoirs, exploring methods to establish them and presenting practical applications to utilize and implement for today’s more complex reservoirs.
Aiding in better well testing operations and models, this book is a one-stop solution for today’s reservoir and production engineer, helping them understand every layer of their reservoir.
1. Introduction - p. xiii 2. Chapter 1: Semipermeable Wall Model of a Multilayer Reservoir with Crossflow - p. xvii 3. Chapter 2: Single-Phase Fluid Flow in a Two-Layer Reservoir with Significant Crossflow - p. 23 4. Chapter 3: Pressure Transients and Crossflow Caused by Diffusivities in Multilayer Reservoirs - p. 63 5. Chapter 4: Crossflow Behavior and the Determination Reservoir Parameters by Drawdown Tests in Multilayer Reservoirs - p. 90 6. Chapter 5: Determination of Total Productivity by a Constant Wellbore Pressure Flow Test and the Crossflow Behavior in Multilayer Reservoirs - p. 107 7. Chapter 6: Determination of Individual Layer Properties by Layer-by-Layer Well Tests in Multilayer Reservoirs with Crossflow - p. 131 8. Chapter 7: Determination of Parameters for Individual Layers by Transient Well Tests in Multilayer Reservoirs - p. 157 9. Chapter 8: Interpretation Theory for Vertical Interference Testing Across a Low-Permeability Zone - p. 190 10. Chapter 9: Unsteady Crossflow Model for Leaky Vertical Interference Testing Across a Low-Permeability Zone - p. 218 11. Chapter 10: Material Balance Equation of Multilayer Gas Reservoir - p. 245 12. Chapter 11: Computer-Aided Well Test Design and Well Test Analysis of Layered Reservoirs - p. 269 13. Nomenclature - p. 281 14. Appendix A: Analytical Solution for the Stationary Value of f (Chapter 2) - p. 281 15. Appendix B: Approximate Solution of the Diffusivity Crossflow Problem in n-Layer Reservoirs (Chapter 3) - p. 290 16. Appendix C: Solution of the Crossflow Caused by Different Boundary Pressures (Chapter 4) - p. 295 17. Appendix D: Approximate Solution for a Well Producing From All Layers - p. 298 18. Appendix E: Approximate Solution and Its Extension When Each Layer of a Two-Layer Reservoir Produces Independently - p. 305 19. Appendix F: Case for Variable Bottom-Hole Rate (Chapter 8) - p. 314 20. Appendix G: Case for Constant Wellhead Rate (Chapter 8) - p. 320 21. Appendix H: Solution of the Problem (Chapter 9) - p. 325 22. Appendix I: Limiting Behavior for f=αD(pwD1-pwD2) (Chapter 9) - p. 333 23. Appendix J: Commonly Used Units in Different Unit Systems - p. 339 24. References - p. 339 25. Index - p. 348
Well Test Analysis for Multilayered Reservoirs with Formation Crossflow introduces the fundamentals of well test analysis of a multilayered reservoir with formation crossflow. The effects of reservoir parameters on wellbore pressure and flow rate are examined, as is a proper method that has been established to analyze well test data that leads to better determinations on the reservoir parameters for each layer of the reservoir.
Focusing on multilayer models for data analysis, this reference explains the reasons for the existence of single-phase crossflow in multilayer reservoirs, exploring methods to establish them and presenting practical applications to utilize and implement for today’s more complex reservoirs.
Aiding in better well testing operations and models, this book is a one-stop solution for today’s reservoir and production engineer, helping them understand every layer of their reservoir.
1. Introduction - p. xiii 2. Chapter 1: Semipermeable Wall Model of a Multilayer Reservoir with Crossflow - p. xvii 3. Chapter 2: Single-Phase Fluid Flow in a Two-Layer Reservoir with Significant Crossflow - p. 23 4. Chapter 3: Pressure Transients and Crossflow Caused by Diffusivities in Multilayer Reservoirs - p. 63 5. Chapter 4: Crossflow Behavior and the Determination Reservoir Parameters by Drawdown Tests in Multilayer Reservoirs - p. 90 6. Chapter 5: Determination of Total Productivity by a Constant Wellbore Pressure Flow Test and the Crossflow Behavior in Multilayer Reservoirs - p. 107 7. Chapter 6: Determination of Individual Layer Properties by Layer-by-Layer Well Tests in Multilayer Reservoirs with Crossflow - p. 131 8. Chapter 7: Determination of Parameters for Individual Layers by Transient Well Tests in Multilayer Reservoirs - p. 157 9. Chapter 8: Interpretation Theory for Vertical Interference Testing Across a Low-Permeability Zone - p. 190 10. Chapter 9: Unsteady Crossflow Model for Leaky Vertical Interference Testing Across a Low-Permeability Zone - p. 218 11. Chapter 10: Material Balance Equation of Multilayer Gas Reservoir - p. 245 12. Chapter 11: Computer-Aided Well Test Design and Well Test Analysis of Layered Reservoirs - p. 269 13. Nomenclature - p. 281 14. Appendix A: Analytical Solution for the Stationary Value of f (Chapter 2) - p. 281 15. Appendix B: Approximate Solution of the Diffusivity Crossflow Problem in n-Layer Reservoirs (Chapter 3) - p. 290 16. Appendix C: Solution of the Crossflow Caused by Different Boundary Pressures (Chapter 4) - p. 295 17. Appendix D: Approximate Solution for a Well Producing From All Layers - p. 298 18. Appendix E: Approximate Solution and Its Extension When Each Layer of a Two-Layer Reservoir Produces Independently - p. 305 19. Appendix F: Case for Variable Bottom-Hole Rate (Chapter 8) - p. 314 20. Appendix G: Case for Constant Wellhead Rate (Chapter 8) - p. 320 21. Appendix H: Solution of the Problem (Chapter 9) - p. 325 22. Appendix I: Limiting Behavior for f=αD(pwD1-pwD2) (Chapter 9) - p. 333 23. Appendix J: Commonly Used Units in Different Unit Systems - p. 339 24. References - p. 339 25. Index - p. 348
