Modelling of Flow and Transport in Fractal Porous Media

This important resource explores recent theoretical advances and modelling on fluids transport in fractal porous systems and presents a systematic understanding of the characterization of complex microstructure and transport mechanism in fractal porous media. Modelling of Flow and Transport in Fractal Porous Media shows how fractal theory and technology, combined with other modern experiments and numerical simulation methods, will assist researchers and practitioners in modelling of transport properties of fractal porous media, such as fluid flow, heat and mass transfer, mechanical characteristics, and electrical conductivity. Presents the main methods and technologies for transport characterization of fractal porous media, including soils, reservoirs and artificial materials Provides the most recent theoretical advances in modelling of fractal porous media, including gas and vapor transport in fibrous materials, nonlinear seepage flow in hydrocarbon reservoirs, mass transfer of porous nanofibers, and fractal mechanics of unsaturated soils Includes multidisciplinary examples of applications of fractal theory to aid researchers and practitioners in characterizing various porous media structures Cover Front-Matter_2021_Modelling-of-Flow-and-Transport-in-Fractal-Porous-Media Front Matter Copyright_2021_Modelling-of-Flow-and-Transport-in-Fractal-Porous-Media Copyright Contents Contributors_2021_Modelling-of-Flow-and-Transport-in-Fractal-Porous-Media Contributors About-the-editors_2021_Modelling-of-Flow-and-Transport-in-Fractal-Porous-Med About the editors Preface_2021_Modelling-of-Flow-and-Transport-in-Fractal-Porous-Media Preface Chapter-1---A-brief-introduction-to-flow-a_2021_Modelling-of-Flow-and-Transp A brief introduction to flow and transport in fractal porous media Introduction Contents Fractal structural characteristics of porous media Transport model based on fractal geometry and other theories Modelling of transport characteristics and its application Conclusion Acknowledgments Chapter-2---Fractal-structural-parameters-from_2021_Modelling-of-Flow-and-Tr Fractal structural parameters from images: Fractal dimension, lacunarity, and succolarity Introduction Contents Definition and physical meaning Calculated method Applications in fractal porous media Characterization of complexity, heterogeneity, and anisotropy Fractal model of reservoir permeability Fracture distribution characterization Permeability prediction Conclusions Acknowledgments Chapter-3---Tortuosity-in-two-dimensional-and-t_2021_Modelling-of-Flow-and-T Tortuosity in two-dimensional and three-dimensional fractal porous media: A numerical analysis Introduction Contents The relation between tortuosity and fractal dimensions Theoretical calculation of tortuosity and its fractal dimension Numerical simulation for tortuosity Comparing the calculated results for tortuosity Conclusion Acknowledgments Chapter-4---Fractal-characteristics-of-pore-str_2021_Modelling-of-Flow-and-T Fractal characteristics of pore structure and its impact on adsorption and flow behaviors in shale Introduction Pore structure in shale characterized by various methods SEM Nano-CT MICP CO2GA and N2GA NMR Influences of CO2-water-shale interactions on the pore structure of shale Experimental section SEM analysis N2GA analysis Adsorption-desorption isotherms and pore size distribution (PSD) Pore structure parameter analysis from N2GA Fractal dimension characteristics of pore structure from N2GA NMR analysis The transverse relaxation time (T2) curve Pore structure parameter analysis from NMR Fractal dimension characteristics of NMR Combination of N2GA and NMR analysis Relationship between fractal dimension and shale pore structure parameters, adsorption, and seepage capacity Relationships between fractal dimension and pore structure parameters of shale Relationships between fractal dimension and adsorption capacity of shale Relationships between fractal dimension and gas flow in shale Conclusions Acknowledgments Chapter-5---Modelling-flow-and-transport-in-variably_2021_Modelling-of-Flow- Modelling flow and transport in variably saturated porous media: Applications from percolation theory and effe ... Introduction Contents Percolation theory Effective-medium approximation Combining universal scaling laws from percolation theory and the effective-medium approximation Diffusion Electrical conductivity Permeability Single-phase permeability Critical path analysis Effective-medium approximation Water relative permeability CPA combined with power-law pore-throat size distribution CPA combined with log-normal pore-throat size distribution EMA combined with power-law pore-throat size distribution Conclusion Acknowledgment Chapter-6---Fractal-analysis-on-conducti_2021_Modelling-of-Flow-and-Transpor Fractal analysis on conductive heat transfer in porous media Introduction Contents Exactly self-similar fractal model Statistically self-similar fractal model Statistically self-similar fractal model with the effect of rough surfaces Conclusions Acknowledgment Chapter-7---Transport-property-and-appl_2021_Modelling-of-Flow-and-Transport Transport property and application of tree-shaped network Introduction and background Contents Application of tree-shaped network Optimization principle for tree-shaped network The origin of Murray's law Optimization of tree-shaped structure Fractal tree-shaped network Fluid flow in tree-shaped network Single-phase flow Flow in porous media Conclusions Acknowledgments Chapter-8---Fractal-characterization-of-fracture-net_2021_Modelling-of-Flow- Fractal characterization of fracture networks and production prediction for multiple fractured horizontal well ... Introduction Contents Fractal fracture property distribution Fractal dimensions of induced fractures Fractal fracture porosity, permeability, and compressibility distribution Results and discussion DMFDE construction Diffusivity equations of dual-media systems Model validation and application Conclusions Acknowledgments Chapter-9---Application-of-fractal-theory-in-t_2021_Modelling-of-Flow-and-Tr Application of fractal theory in transient pressure properties of hydrocarbon reservoir Contents Introduction Fractal well testing model for a vertical well in a homogeneous oil and gas reservoir Physical model description Mathematical model and its solution Pressure response analysis Fractal nonlinear seepage flow model for deformable dual media reservoir Background Problems statement Physical model Mathematical model Solution analysis Solution to mathematical model Flow behavior characteristics Application to pressure analysis Transient pressure fractal analysis of a vertical well in a composite reservoir Physical model Mathematical model Solution to the model Results analysis Fractal theory in shale gas reservoir Background Fractal model for shale Multilayer fractal adsorption model Experimental results and discussion Conclusions References Index_2021_Modelling-of-Flow-and-Transport-in-Fractal-Porous-Media Index A B C D E F G H I J K L M N O P R S T U V W Y