Fractured porous media / Pierre M. Adler, Jean-Francois Thovert, Valeri V. Mourzenko.

Format:

Book

Author/Creator:

Adler, Pierre M.

Contributor:

Thovert, Jean-François.

Mourzenko, Valeri V.

Language:

English

Subjects (All):

Percolation.

Fracture mechanics.

Porous materials.

Physical Description:

1 online resource (184 p.)

Edition:

1st ed.

Place of Publication:

Oxford, England : Oxford University Press, c2013.

Language Note:

English

Summary:

This monograph on fractures, fracture networks, and fractured porous media provides a systematic treatment of their geometrical and transport properties for students and professionals in geophysics, materials science, and Earth sciences.

Contents:

Cover; Contents; 1 Introduction; 1.1 General; 1.2 Description and terminology; 1.3 The concept of permeability; 1.4 Objectives and organization of this book; Exercises; 2 The geometry of a single fracture; 2.1 Introduction; 2.2 Analysis of a fracture; 2.2.1 The three statistical characteristics of a fracture; 2.2.2 The two major autocorrelation functions; 2.2.3 Summary; 2.3 Generation of random fractures; 2.3.1 Generation of correlated random fields; 2.3.2 Generation of a random fracture; 2.4 Geometrical properties; 2.4.1 Contact zones; 2.4.2 Spatially periodic media

2.4.3 Connected and percolating components2.5 The concept of percolation; 2.5.1 Percolation, cluster and percolation threshold; 2.5.2 Power laws; 2.5.3 Self similarity; 2.5.4 Finite size effects; 2.5.5 The percolation thresholds for fractures; 2.6 Extensions; 2.6.1 Generation of correlated fields by Fourier transforms; 2.6.2 Self-affne surfaces; Exercises; 3 The geometry of fracture networks; 3.1 Introduction; 3.2 Classical analysis of a fracture network; 3.2.1 Analysis of traces on plane surfaces; 3.2.2 An example of three-dimensional field data; 3.3 Generation of a fracture network

3.3.1 Complete analysis3.3.2 Deterministic models; 3.3.3 Random models; 3.3.4 Use of a library of data; 3.3.5 Some concluding remarks; 3.4 Statistical geometrical properties of fracture networks; 3.4.1 A unifying concept: the excluded volume; 3.4.2 The dimensionless density ρ'; 3.4.3 The percolation threshold of identical convex fractures; 3.4.4 Solid blocks; 3.4.5 Concluding remarks; 3.5 Estimation of the dimensionless density from line data; 3.6 Estimation of the dimensionless density from surface data; 3.7 Stereological relations for convex fractures

3.7.1 The direct stereological relations3.7.2 The inverse stereological relations; 3.7.3 Consistency relations; 3.8 Extensions; 3.8.1 Percolation of fracture networks with power law size distributions; 3.8.2 Stereological relations for anisotropic networks of convex fractures; 3.8.3 The percolation threshold of anisotropic networks of convex fractures; 3.8.4 Stereological relations for anisotropic and; 3.8.5 Networks of heterogeneous fractures; Exercises; 4 Transport in a single fracture; 4.1 Introduction; 4.2 Flow of a Newtonian fluid; 4.2.1 Rigorous approach; 4.2.2 Analytical approximations

4.2.3 Estimations of the fracture transmissivity σ4.2.4 Comparison between Reynolds and Stokes transmissivities; 4.3 Diffusion of a passive solute; 4.3.1 A rigorous approach; 4.3.2 The Reynolds approximation; 4.3.3 Estimations of the fracture conductivity Λ; 4.3.4 Comparison between Reynolds and Laplace conductivities; 4.4 Dispersion of a passive solute; 4.5 Extensions; 4.5.1 Plane channels with wavy walls; 4.5.2 Extension to self-affine fractures; Exercises; 5 Transport in fracture networks; 5.1 Introduction; 5.2 General; 5.2.1 Flow equations

5.2.2 Permeability K[sub(n)] of a fracture network

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on online resource; title from title page (ebrary, viewed June 10, 2013).

Description based on publisher supplied metadata and other sources.

ISBN:

9780191644597

0191644595

9781283634632

1283634635

9780191644580

0191644587

OCLC:

922971375