Well Production Performance Analysis for Shale Gas Reservoirs

Chapter 1: Shale Gas Reservoir Characteristics and Microscopic Flow Mechanisms

1.1 Introduction

1.2 Shale Gas Reservoir Characteristics

1.3 Pore Type Analysis in Shale Gas Reservoirs

1.4 Accumulation Mechanisms in Shale Gas Reservoirs and Model Description

1.5 Multiscale Flow Mechanisms in Shale Gas Reservoirs

1.6 Mathematical Models with Various Shale Gas Flow Mechanisms

Chapter 2: Source Function Derivation for Gas Reservoirs under Different Flow Mechanisms

2.1 Introduction

2.2 Solutions of Flow Mechanism Models

2.3 Continuous Point Source Solutions in Circular Gas Reservoirs

2.4 Continuous Point Source Solutions in Rectangular Gas Reservoirs

Chapter 3: Fractured Vertical Wells in Shale Gas Reservoirs without SRV

3.1 Introduction

3.2 Fractured Vertical Wells in Circular Gas Reservoirs

3.3 Fractured Vertical Well in Closed Rectangular Gas Reservoirs

3.4 Superposition of Wellbore Storage and Skin Effects

3.5 Solution for Production at Constant Bottomhole Pressure

3.6 A Numerical Inversion Algorithm

3.7 Gas Well Pressure and Production Performance Analysis

Chapter 4: Multi-stage Fractured Horizontal Wells in Shale Reservoirs without SRV

4.1 Introduction

4.2 Multi-stage Fractured Horizontal Wells in Circular Gas Reservoirs

4.3 MFHWs in Rectangular Gas Reservoirs

4.4 Analysis of well Bottomhole Pressure and Production Performance

Chapter 5: Fractured Vertical Wells in Circular Gas Reservoirs with Circular SRV

5.1 Introduction

5.2 Continuous Line Source Solutions in Circular composite Gas Reservoirs

5.3 Fractured Vertical Wells in Circular Composite Gas Reservoirs

5.4 Analysis of Pressure and Production Type Curves

Chapter 6: Multi-stage Fractured Horizontal Wells in Circular Reservoirs with SRV

6.1 Introduction

6.2 MFHWs in Circular Composite Gas Reservoirs

6.3 Analysis of Pressure and Production type curves

Chapter 7: Fractured Wells in Rectangular Gas Reservoirs with SRV

7.1 Introduction

7.2 Boundary Element Models in Composite Gas Reservoirs with SRV

7.3 Fractured Vertical Wells in Rectangular Composite Shale Gas Reservoirs with SRV

7.4 MFHW in Rectangular Composite Shale Gas Reservoirs with Global SRV

7.5 MFHW in Shale Gas Reservoirs with Local SRV

Chapter 8: Numerical Simulation of MFHWs in Shale Gas Reservoirs Based on CVFEM

8.1 Introduction

8.2 A MFHW in a Single Porosity Medium in a Shale Gas Reservoir

8.3 A MFHW in a Dual-Continuum Medium in a Shale Gas Reservoir

8.4 Tri-porosity Models in Shale Gas Reservoirs

Chapter 9: Case Studies

9.1 Application of a Well Test Analysis Model

9.2 Application of Numerical Simulation

Appendix A: Solution Derivation in Shale Gas Reservoirs under Different Transport Mechanisms

A.1. Micro fractures + Steady State Adsorption/Desorption and Diffusion Model (Model-1)

A.2. Micro Fractures + Matrix Macro Pores + Steady State Adsorption/desorption and Diffusion Model (Model-2)

A.3. Micro Fractures + Gas Adsorption/Desorption + Matrix Fick’s Diffusion Model (Model-3)

A.4. Micro Fractures + Matrix Macro Pores + Gas Adsorption/Desorption + Nanopore Fick’s Diffusion Model (Model-4)

A.5. Micro Fractures+ Gas Adsorption/Desorption + Nanopore Knudsen Diffusion Model (Model-5)

Appendix B: Solution Derivation for a Continuous Line Source in a Composite Model

B.1. Micro Fractures+Steady State Adsorption/Desorption and Diffusion Model (Model-1)

B.2. Micro Fractures+Matrix Macro Pores+Steady State Adsorption/Desorption and Diffusion (Model-2)

B.3. Micro Fractures+Gas Adsorption/Desorption + Matrix Fick’s Diffusion (Model-3)

B.4. Micro Fractures+Matrix Macro Pores+Gas Adsorption/Desorption+Nanopore Fick’s Diffusion (Model-4)

B.5. Micro Fractures + Gas Adsorption/Desorption + Nanopore Knudsen Diffusion (Model-5)