Note: Intro -- Modelling of Flow and Transport in Fractal Porous Media -- Copyright -- Contents -- Contributors -- About the editors -- Preface -- Chapter 1: A brief introduction to flow and transport in fractal porous media -- 1. Introduction -- 2. Fractal structural characteristics of porous media -- 3. Transport model based on fractal geometry and other theories -- 4. Modelling of transport characteristics and its application -- 5. Conclusion -- Acknowledgments -- References -- Chapter 2: Fractal structural parameters from images: Fractal dimension, lacunarity, and succolarity -- 1. Introduction -- 2. Definition and physical meaning -- 3. Calculated method -- 4. Applications in fractal porous media -- 4.1. Characterization of complexity, heterogeneity, and anisotropy -- 4.2. Fractal model of reservoir permeability -- 4.3. Fracture distribution characterization -- 4.4. Permeability prediction -- 5. Conclusions -- Acknowledgments -- References -- Chapter 3: Tortuosity in two-dimensional and three-dimensional fractal porous media: A numerical analysis -- 1. Introduction -- 2. The relation between tortuosity and fractal dimensions -- 3. Theoretical calculation of tortuosity and its fractal dimension -- 4. Numerical simulation for tortuosity -- 5. Comparing the calculated results for tortuosity -- 6. Conclusion -- Acknowledgments -- References -- Chapter 4: Fractal characteristics of pore structure and its impact on adsorption and flow behaviors in shale -- 1. Introduction -- 2. Pore structure in shale characterized by various methods -- 2.1. SEM -- 2.2. Nano-CT -- 2.3. MICP -- 2.4. CO2GA and N2GA -- 2.5. NMR -- 3. Influences of CO2-water-shale interactions on the pore structure of shale -- 3.1. Experimental section -- 3.2. SEM analysis -- 3.3. N2GA analysis -- 3.3.1. Adsorption-desorption isotherms and pore size distribution (PSD). , 3.3.2. Pore structure parameter analysis from N2GA -- 3.3.3. Fractal dimension characteristics of pore structure from N2GA -- 3.4. NMR analysis -- 3.4.1. The transverse relaxation time (T2) curve -- 3.4.2. Pore structure parameter analysis from NMR -- 3.4.3. Fractal dimension characteristics of NMR -- 3.5. Combination of N2GA and NMR analysis -- 4. Relationship between fractal dimension and shale pore structure parameters, adsorption, and seepage capacity -- 4.1. Relationships between fractal dimension and pore structure parameters of shale -- 4.2. Relationships between fractal dimension and adsorption capacity of shale -- 4.3. Relationships between fractal dimension and gas flow in shale -- 5. Conclusions -- Acknowledgments -- References -- Chapter 5: Modelling flow and transport in variably saturated porous media: Applications from percolation theory and effe ... -- 1. Introduction -- 2. Combining universal scaling laws from percolation theory and the effective-medium approximation -- 3. Diffusion -- 4. Electrical conductivity -- 5. Permeability -- 5.1. Single-phase permeability -- 5.1.1. Critical path analysis -- 5.1.2. Effective-medium approximation -- 5.2. Water relative permeability -- 5.2.1. CPA combined with power-law pore-throat size distribution -- 5.2.2. CPA combined with log-normal pore-throat size distribution -- 5.2.3. EMA combined with power-law pore-throat size distribution -- 6. Conclusion -- Acknowledgment -- References -- Chapter 6: Fractal analysis on conductive heat transfer in porous media -- 1. Introduction -- 2. Exactly self-similar fractal model -- 3. Statistically self-similar fractal model -- 4. Statistically self-similar fractal model with the effect of rough surfaces -- 5. Conclusions -- Acknowledgment -- References -- Chapter 7: Transport property and application of tree-shaped network -- 1. Introduction and background. , 2. Application of tree-shaped network -- 3. Optimization principle for tree-shaped network -- 3.1. The origin of Murray's law -- 3.2. Optimization of tree-shaped structure -- 3.3. Fractal tree-shaped network -- 4. Fluid flow in tree-shaped network -- 4.1. Single-phase flow -- 4.2. Flow in porous media -- 5. Conclusions -- Acknowledgments -- References -- Chapter 8: Fractal characterization of fracture networks and production prediction for multiple fractured horizontal well ... -- 1. Introduction -- 2. Fractal fracture property distribution -- 2.1. Fractal dimensions of induced fractures -- 2.2. Fractal fracture porosity, permeability, and compressibility distribution -- 2.3. Results and discussion -- 3. DMFDE construction -- 3.1. Diffusivity equations of dual-media systems -- 3.2. Model validation and application -- 4. Conclusions -- Acknowledgments -- References -- Chapter 9: Application of fractal theory in transient pressure properties of hydrocarbon reservoir -- 1. Introduction -- 2. Fractal well testing model for a vertical well in a homogeneous oil and gas reservoir -- 2.1. Physical model description -- 2.2. Mathematical model and its solution -- 2.3. Pressure response analysis -- 3. Fractal nonlinear seepage flow model for deformable dual media reservoir -- 3.1. Background -- 3.2. Problems statement -- 3.2.1. Physical model -- 3.2.2. Mathematical model -- 3.3. Solution analysis -- 3.3.1. Solution to mathematical model -- 3.3.2. Flow behavior characteristics -- 3.4. Application to pressure analysis -- 4. Transient pressure fractal analysis of a vertical well in a composite reservoir -- 4.1. Physical model -- 4.2. Mathematical model -- 4.3. Solution to the model -- 4.4. Results analysis -- 5. Fractal theory in shale gas reservoir -- 5.1. Background -- 5.2. Fractal model for shale -- 5.3. Multilayer fractal adsorption model. , 5.4. Experimental results and discussion -- 6. Conclusions -- References -- Index.