Flow phenomena in rocks: from continuum models to fractals, percolation, cellular automata, and simulated annealing

M Sahimi - Reviews of modern physics, 1993 - APS
In this paper, theoretical and experimental approaches to flow, hydrodynamic dispersion,
and miscible and immiscible displacement processes in reservoir rocks are reviewed and …

Multifractal phenomena in physics and chemistry

HE Stanley, P Meakin - Nature, 1988 - nature.com
Multifractal phenomena in physics and chemistry Page 1 NATURE VOL. 335 29 SEPTEMBER
1988 REVIEW ARTICLE 495 Multifractal phenomena in physics and chemistry H. Eugene …

[BOOK][B] Flow and transport in porous media and fractured rock: from classical methods to modern approaches

M Sahimi - 2011 - books.google.com
In this standard reference of the field, theoretical and experimental approaches to flow,
hydrodynamic dispersion, and miscible displacements in porous media and fractured rock …

[BOOK][B] Fractals and disordered systems

A Bunde, S Havlin - 2012 - books.google.com
Fractals and disordered systems have recently become the focus of intense interest in
research. This book discusses in great detail the effects of disorder on mesoscopic scales …

Direct determination of the f (α) singularity spectrum

A Chhabra, RV Jensen - Physical Review Letters, 1989 - APS
The direct determination of the f (α) singularity spectrum from experimental data is a difficult
problem. This Letter introduces a simple method for computing f (α) based on the theorems …

Physical properties of macroscopically inhomogeneous media

DJ Bergman, D Stroud - Solid state physics, 1992 - Elsevier
Publisher Summary This chapter discusses several composites or granular or porous
materials that display inhomogeneity on a macroscopic scale. In such materials, there are …

Direct determination of the f (α) singularity spectrum and its application to fully developed turbulence

AB Chhabra, C Meneveau, RV Jensen… - Physical Review A, 1989 - APS
This paper focuses on a method proposed for determining f (α)(the singularity spectrum of a
multifractal) directly from experimental data, without first calculating the ''generalized …

Dynamical properties of fractal networks: Scaling, numerical simulations, and physical realizations

T Nakayama, K Yakubo, RL Orbach - Reviews of modern physics, 1994 - APS
This article describes the advances that have been made over the past ten years on the
problem of fracton excitations in fractal structures. The relevant systems to this subject are so …

Nonextensivity and multifractality in low-dimensional dissipative systems

ML Lyra, C Tsallis - Physical review letters, 1998 - APS
Power-law sensitivity to the initial conditions at the edge of chaos provides a natural relation
between the scaling properties of the dynamics attractor and its degree of nonextensivity …

Fracture of disordered, elastic lattices in two dimensions

HJ Herrmann, A Hansen, S Roux - Physical Review B, 1989 - APS
We study via simulation how a lattice breaks if each bond is an elastic beam having
longitudinal and flexural breaking thresholds randomly selected according to various …