Applications Of Percolation TheoryOver 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. |
Contents
II | 1 |
III | 3 |
IV | 5 |
V | 6 |
VIII | 7 |
XI | 8 |
XII | 9 |
XIII | 10 |
LXXII | 120 |
LXXIV | 123 |
LXXV | 124 |
LXXVI | 125 |
LXXVII | 126 |
LXXVIII | 127 |
LXXIX | 128 |
LXXX | 131 |
XIV | 12 |
XVI | 14 |
XVIII | 16 |
XIX | 17 |
XX | 18 |
XXI | 21 |
XXII | 22 |
XXIII | 23 |
XXIV | 25 |
XXV | 27 |
XXVI | 34 |
XXVII | 39 |
XXIX | 41 |
XXX | 42 |
XXXI | 43 |
XXXII | 47 |
XXXIII | 51 |
XXXIV | 52 |
XXXV | 55 |
XXXVII | 57 |
XXXVIII | 59 |
XXXIX | 61 |
XL | 62 |
XLI | 63 |
XLII | 65 |
XLIII | 71 |
XLIV | 72 |
XLV | 75 |
XLVI | 78 |
XLVIII | 81 |
XLIX | 83 |
L | 85 |
LI | 87 |
LII | 90 |
LIII | 92 |
LIV | 97 |
LV | 98 |
LVI | 99 |
LVII | 101 |
LVIII | 102 |
LX | 103 |
LXI | 104 |
LXII | 106 |
LXV | 108 |
LXVI | 110 |
LXVII | 111 |
LXVIII | 113 |
LXIX | 116 |
LXX | 117 |
LXXI | 119 |
LXXXI | 134 |
LXXXII | 135 |
LXXXIII | 137 |
LXXXIV | 138 |
LXXXV | 139 |
LXXXVI | 141 |
LXXXVII | 143 |
LXXXVIII | 144 |
LXXXIX | 145 |
XC | 149 |
XCI | 150 |
XCII | 151 |
XCIII | 155 |
XCV | 157 |
XCVI | 158 |
XCVII | 160 |
XCVIII | 163 |
XCIX | 167 |
C | 168 |
CI | 169 |
CII | 170 |
CIII | 171 |
CIV | 176 |
CV | 181 |
CVI | 185 |
CVII | 189 |
CVIII | 191 |
CX | 193 |
CXI | 194 |
CXII | 201 |
CXIII | 207 |
CXIV | 217 |
CXV | 219 |
CXVI | 222 |
CXVIII | 225 |
CXIX | 226 |
CXX | 230 |
CXXI | 233 |
CXXII | 236 |
CXXIII | 238 |
CXXIV | 240 |
241 | |
CXXVI | 243 |
CXXVII | 244 |
CXXVIII | 245 |
CXXIX | 247 |
CXXX | 249 |
252 | |
255 | |
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Common terms and phrases
aerogels application of percolation Arbabi behavior Bethe lattice bond percolation bonds calculated capillary pressure catalyst cells Chem coefficient coordination number correlation length critical exponent crossover cubic network curves deactivation defined density dependence Deutscher diffusion discussed in Chapter disordered systems dispersion displacing fluid effective elastic moduli electrical conductivity equation experimental data Figure films finite fractal dimension fracture networks frequency function given grains hopping conductivity imbibition injection interface kinetic lattice length scale Lett macroscopic measured medium metal method monomers nonwetting obtain particles percolation clusters percolation model percolation networks percolation prediction percolation process percolation theory percolation threshold permeability phase Phys pore bodies pore size distribution pore space pore throats porosity porous media radius random percolation random walk reaction regime Sahimi sample sample-spanning cluster scaling law simulations site percolation solid spheres surface tion Tsotsis two-dimensional two-phase flow viscosity volume fraction wettability
References to this book
Water Transport in Brick, Stone and Concrete Christopher Hall,William D. Hoff No preview available - 2002 |