Modelling of Flow and Transport in Fractal Porous Media

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