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Percolation theory for flow in porous media
Hunt, Allen Gerhard.
- ISBN:3540261109
- Call Number : QC 173 .4 .P67 .H86 2005
- Main Entry: Hunt, Allen Gerhard.
- Title:Percolation theory for flow in porous media [electronic resource] / Allen G. Hunt.
- Publisher:Berlin; New York : Springer, 2005.
- Physical Description:xv, 202 p. : ill. ; 24 cm
- Series:Lecture notes in physics, 0075-8450; 674
- Notes:Includes bibliographical references
- Subject:Porous materials-- Transport properties.
- Subject:Percolation (Statistical physics)
- Subject:Critical path analysis.
- Added Entry:Title.
- Added Entry:SE
Percolation theory for flow in porous mediaمحتواي کتاب
- 1 Percolation Theory
- 1.1 What is Percolation?
- 1.2 Qualitative Descriptions
- 1.3 What are the Basic Variables?
- 1.4 What is Scale Invarianceand Why is it so Important?
- 1.5 The Relationship of Scale Invarianceand Renormalization, and the Relationshipof the Renormalization Group to Percolation Theory
- 1.6 Cluster Statistics of Percolation Theory
- 1.7 Calculation of the Critical Site Percolation Probabilityfor the Two-dimensional Triangular Lattice and of the Critical Exponent for the Correlation Length in Two Dimensions
- 1.8 Mean-field Treatment of the Probabilityof being Connected to the Infinite Cluster
- 1.9 Value of pc for Bond Percolationon the Square Lattice
- 1.10 Estimations of pc for Bond Percolationon the Triangular and Honeycomb Lattices
- 1.11 Summary of Values of pc
- 1.12 More General Relationships for pc
- 1.13 Derivation of One-Dimensional Cluster Statisticsand Discussion of Fractal Dimensionality
- 1.14 Argument for Dimensionally-Dependent Scaling Law, Implications for Critical Exponent, ,and Applications to Critical Exponents
- 1.15 Exponents for Transport Properties
- 1.16 Finite-size Scaling and Fractal Characteristics
- 1.17 Summary of Derived Values of Critical Exponents
- 1.18 Critical Path Analysis
- Problems
- 33 - 66.pdf
- 67 - 87.pdf
- 89 - 120.pdf
- 121 - 143.pdf
- 5 Pressure Saturation Curvesand the Critical Volume Fractionfor Percolation
- 5.1 Structural Hysteresis
- 5.2 Hydraulic Conductivity Limited Equilibrationand Dry-end Deviations from Fractal Scaling
- 5.3 Analysis of Water-Retention Curves in Termsof the Critical Moisture Content for Percolation
- 5.4 Wet-end Deviations from Fractal Scalingof Water-Retention Curves and Discussionof the Critical Volume Fraction for Percolation
- 5.5 General Formulation for Equilibrium and Analogyto Ideal Glass Transition
- 5.6 Oil Residuals
- Problems
- 5 Pressure Saturation Curvesand the Critical Volume Fractionfor Percolation
- 145 - 155.pdf
- 173 - 187.pdf