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Preface; Acknowledgements; Contents; 1 Introduction; Abstract; 1.1 Background; 1.2 Characteristics of Fractured Vuggy Carbonate Reservoirs; 1.3 Purpose and Scope; References; 2 Discrete Fracture Model; Abstract; 2.1 Background and the State of the Art; 2.2 Galerkin Finite Element Numerical Simulation; 2.2.1 Discrete Fractured Model; 2.2.2 Two-Phase Flow Mathematical Model; 2.2.3 Finite Element Numerical Formula; 2.2.4 Numerical Examples and Applications; 2.3 Control Volume Method Numerical Simulation; 2.3.1 Two-Phase Flow Control Equations; 2.3.2 Discrete Fracture Mathematical Model
2.3.3 Saturation Discontinuity Treatment at the Interface2.3.4 Control Volume Numerical Formulation; 2.3.5 Numerical Examples; 2.4 Mimetic Finite Difference Numerical Simulation; 2.4.1 Two-Phase Fluid Flow Mathematical Model; 2.4.2 Solution Strategies for the Pressure Equation; 2.4.3 The Solution of the Saturation Equation; 2.4.4 Numerical Example; 2.5 The Embedded Discrete Fracture Numerical Simulation; 2.5.1 The Mathematical Model of Embedded Discrete Fracture Model; 2.5.2 Numerical Solution of Mathematical Model; 2.5.3 Numerical Examples; 2.6 Summary and Remarks; References
3 Discrete Fracture-Vug Network ModelAbstract; 3.1 Mathematical Models: The State of the Art; 3.1.1 Conventional Continuous Media Model; 3.1.2 Discrete Media Model; 3.1.3 Discrete Fractured-Vuggy Network Model(DFVN); 3.2 The Coupling Theory of Porous Flow-Free Flow; 3.2.1 Coupling Flow Method and Its Surface Condition; 3.2.2 Two Phases Flow of Discrete Fracture-Vug Network; 3.3 Numerical Simulation of Free Flow in Vugs; 3.3.1 Two Impressible Fluids Model; 3.3.2 Time Discrete Formulation; 3.3.3 Operator Splitting Method; 3.3.4 Upwind Finite Element Numerical Calculation Format
3.3.5 Examples and Analysis of Numerical Validation3.4 Numerical Simulation of Coupling Seepage Flow-Free Flow; 3.4.1 The Establishment of Discrete Fractured-Vuggy Network Geometry Model; 3.4.2 Two Phases Flow Mathematic Modeling of the Coupling of Seepage Flow-Free Flow; 3.5 Conclusions; References; 4 Equivalent Medium Model; Abstract; 4.1 The Research Status and Trends; 4.2 The Equivalent Process of Fractured Medium; 4.2.1 Brief Introduction to Permeability Tensor; 4.2.2 The Equivalent Permeability Tensor of Fractured Medium; 4.3 The Equivalent Simulation of Fractured-Vuggy Media
4.3.1 Equivalent Absolute Permeability Calculation4.3.2 Computation of Pseudo-relative Permeability; 4.4 Numerical Simulation Method for Equivalent Media; 4.4.1 Two-Phase Flow Mathematical Model in Large Scale; 4.4.2 Mixed FEM for Pressure Equation; 4.4.3 FVM for Saturation Equation; 4.4.4 Numerical Examples; 4.5 Summary; References; 5 Hybrid Fracture Model; Abstract; 5.1 Development Characteristics of Fractured Medium; 5.2 Conceptual Model of Seepage; 5.2.1 Continuum Model; 5.2.2 Discrete Fracture Model; 5.2.3 Hybrid Model; 5.3 Types of Coupling Models and Their Realization; 5.3.1 Coupling Model.
2.3.3 Saturation Discontinuity Treatment at the Interface2.3.4 Control Volume Numerical Formulation; 2.3.5 Numerical Examples; 2.4 Mimetic Finite Difference Numerical Simulation; 2.4.1 Two-Phase Fluid Flow Mathematical Model; 2.4.2 Solution Strategies for the Pressure Equation; 2.4.3 The Solution of the Saturation Equation; 2.4.4 Numerical Example; 2.5 The Embedded Discrete Fracture Numerical Simulation; 2.5.1 The Mathematical Model of Embedded Discrete Fracture Model; 2.5.2 Numerical Solution of Mathematical Model; 2.5.3 Numerical Examples; 2.6 Summary and Remarks; References
3 Discrete Fracture-Vug Network ModelAbstract; 3.1 Mathematical Models: The State of the Art; 3.1.1 Conventional Continuous Media Model; 3.1.2 Discrete Media Model; 3.1.3 Discrete Fractured-Vuggy Network Model(DFVN); 3.2 The Coupling Theory of Porous Flow-Free Flow; 3.2.1 Coupling Flow Method and Its Surface Condition; 3.2.2 Two Phases Flow of Discrete Fracture-Vug Network; 3.3 Numerical Simulation of Free Flow in Vugs; 3.3.1 Two Impressible Fluids Model; 3.3.2 Time Discrete Formulation; 3.3.3 Operator Splitting Method; 3.3.4 Upwind Finite Element Numerical Calculation Format
3.3.5 Examples and Analysis of Numerical Validation3.4 Numerical Simulation of Coupling Seepage Flow-Free Flow; 3.4.1 The Establishment of Discrete Fractured-Vuggy Network Geometry Model; 3.4.2 Two Phases Flow Mathematic Modeling of the Coupling of Seepage Flow-Free Flow; 3.5 Conclusions; References; 4 Equivalent Medium Model; Abstract; 4.1 The Research Status and Trends; 4.2 The Equivalent Process of Fractured Medium; 4.2.1 Brief Introduction to Permeability Tensor; 4.2.2 The Equivalent Permeability Tensor of Fractured Medium; 4.3 The Equivalent Simulation of Fractured-Vuggy Media
4.3.1 Equivalent Absolute Permeability Calculation4.3.2 Computation of Pseudo-relative Permeability; 4.4 Numerical Simulation Method for Equivalent Media; 4.4.1 Two-Phase Flow Mathematical Model in Large Scale; 4.4.2 Mixed FEM for Pressure Equation; 4.4.3 FVM for Saturation Equation; 4.4.4 Numerical Examples; 4.5 Summary; References; 5 Hybrid Fracture Model; Abstract; 5.1 Development Characteristics of Fractured Medium; 5.2 Conceptual Model of Seepage; 5.2.1 Continuum Model; 5.2.2 Discrete Fracture Model; 5.2.3 Hybrid Model; 5.3 Types of Coupling Models and Their Realization; 5.3.1 Coupling Model.