Perform field tests to verify the applicability of each time-dependent functional form. ● Perform analytical inversion of the models from the Laplace domain. (currently not possible) ● This workflow should be exhaustively applied to field cases for vertically fractured wells. ● This workflow should be applied to field cases for multi-fractured horizontal well. ● 7. Organization of Thesis Abstract ● Table of Contents ● List of Figures ● List of Tables ● Chapter I Introduction ● — Motivation ■ Objectives ■ Basic Concepts ■ Chapter II Literature Review ● — History of Term Well Test Analysis for Fractured Wells ■ Transient Flow Behavior for Constant Pressure Production ■ Time-Dependent Skin in Well Test Analysis ■ Pressure Buildup Analysis with Wellbore Phase Redistribution ■ Chapter III Development ● —Model Assumptions ■ Flow Regime Development ■ Time-Dependent Skin Effects ■ Time-Dependent Wellbore Storage ■ Chapter IV Solutions and Results ● — Power Law Relation Base Constant Pressure Solution ■ — Power Law Relation Constant Pressure Solution with Time-Dependent Skin Effects ■ — Law Relation Constant Pressure Solution with Time-Dependent Wellbore Storage ■ — Formation Linear Flow Relation Base Constant Pressure Solution ■ — Formation Linear Flow Relation Constant Pressure Solution with Time-Dependent Skin Effects ■ — Formation Linear Flow Relation Constant Pressure Solution with Time-Dependent Wellbore ■ — Storage Bilinear Flow Relation Base Constant Pressure Solution ■ — Bilinear Flow Relation Constant Pressure Solution with Time-Dependent Skin Effects ■ — Bilinear Flow Relation Constant Pressure Solution with Time-Dependent Wellbore Storage ■ — Chapter V Summary, Conclusions and Recommendations for Future Work ● — References ● Nomenclature ● Appendix A: Linear Flow Regime Pressure Relation ● Appendix B: Bilinear Flow Regime Pressure Relation ● Appendix C: Generalized Constant Pressure Solution in Laplace Space ● Appendix D: Constant Pressure Solution with Time-Dependent Choked Fracture Skin ● Appendix E: Constant Pressure Solution with Time-Dependent Wellbore Storage ●
● Perform field tests to verify the applicability of each time-dependent functional form. ● Perform analytical inversion of the models from the Laplace domain. (currently not possible) ● This workflow should be exhaustively applied to field cases for vertically fractured wells. ● This workflow should be applied to field cases for multi-fractured horizontal well. 7. Organization of Thesis ● Abstract ● Table of Contents ● List of Figures ● List of Tables ● Chapter I — Introduction ■ Motivation ■ Objectives ■ Basic Concepts ● Chapter II — Literature Review ■ History of Term Well Test Analysis for Fractured Wells ■ Transient Flow Behavior for Constant Pressure Production ■ Time-Dependent Skin in Well Test Analysis ■ Pressure Buildup Analysis with Wellbore Phase Redistribution ● Chapter III —Model Development ■ Assumptions ■ Flow Regime Development ■ Time-Dependent Skin Effects ■ Time-Dependent Wellbore Storage ● Chapter IV — Solutions and Results ■ Power Law Relation — Base Constant Pressure Solution ■ Power Law Relation — Constant Pressure Solution with Time-Dependent Skin Effects ■ Law Relation — Constant Pressure Solution with Time-Dependent Wellbore Storage ■ Formation Linear Flow Relation — Base Constant Pressure Solution ■ Formation Linear Flow Relation — Constant Pressure Solution with Time-Dependent Skin Effects ■ Formation Linear Flow Relation — Constant Pressure Solution with Time-Dependent Wellbore Storage ■ Bilinear Flow Relation — Base Constant Pressure Solution ■ Bilinear Flow Relation — Constant Pressure Solution with Time-Dependent Skin Effects ■ Bilinear Flow Relation — Constant Pressure Solution with Time-Dependent Wellbore Storage ● Chapter V — Summary, Conclusions and Recommendations for Future Work ● References ● Nomenclature ● Appendix A: Linear Flow Regime Pressure Relation ● Appendix B: Bilinear Flow Regime Pressure Relation ● Appendix C: Generalized Constant Pressure Solution in Laplace Space ● Appendix D: Constant Pressure Solution with Time-Dependent Choked Fracture Skin ● Appendix E: Constant Pressure Solution with Time-Dependent Wellbore Storage