Applications Of Percolation Theory

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CRC Press, 13 juil. 2003 - 276 pages
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Over the past two decades percolation theory has been used to explain and model a wide variety of phenomena that are of industrial and scientific importance. Examples include characterization of porous materials and reservoir rocks, fracture patterns and earthquakes in rocks, calculation of effective transport properties of porous media permeability, conductivity, diffusivity, etc., groundwater flow, polymerization and gelation, biological evolution, galactic formation in the universe, spread of knowledge, and many others. Most of such applications have resulted in qualitative as well as quantitative predictions for the system of interest. This book attempts to describe in simple terms some of these applications, outline the results obtained so far, and provide further references for future reading.
  

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Table des matières

1 Connectivity as the essential physics of disordered systems
1
2 Elements of percolation theory
8
3 Characterization of porous media
23
4 Earthquakes and fracture and fault patterns in heterogeneous rock
41
5 Singlephase flow and transport in porous media
56
6 Hydrodynamic dispersion and groundwater flow in rock
81
7 Twophase flow in porous media
101
8 Transport reaction and deposition in evolving porous media
127
9 Fractal diffusion and reaction kinetics
150
10 Vibrations and density of states of disordered materials
164
11 Structural mechanical and rheological properties of branched polymers and gels
177
12 Morphological and transport properties of composite materials
203
13 Hopping conductivity of semiconductors
238
14 Percolation in biological systems
257
Index
268
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