Percolation theory for flow in porous media:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2009
|
| Edition: | 2. ed. |
| Series: | Lecture notes in physics
771 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVIII, 319 S. Ill., graph. Darst. |
| ISBN: | 9783540897903 9783540897897 |
Staff View
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| 245 | 1 | 0 | |a Percolation theory for flow in porous media |c A. Hunt ; R. Ewing |
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Record in the Search Index
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| adam_text | CONTENTS 1 PERCOLATION THEORY: TOPOLOGY AND STRUCTURE 1 1.1 WHAT IS
PERCOLATION? 1 I .2 SOME EXAMPLES 2 1.3 QUALITATIVE DESCRIPTIONS 4 1.4
WHAT ARE THE BASIC VARIABLES? 6 1.5 WHAT IS SCALE INVARIANCE AND WHY IS
IT SO IMPORTANT? 7 1.6 THE CORRELATION LENGTH IN ONE DIMENSION 10 1.7
THE RELATIONSHIP OF SCALE INVARIANCE AND RENORMALIZATION, AND THE
RELATIONSHIP OF THE RENORMALIZATION GROUP TO PERCOLATION THEORY 11 1.8
CLUSTER STATISTICS OF PERCOLATION THEORY 12 1.9 DERIVATION OF 1D CLUSTER
STATISTICS AND DISCUSSION OF FRACTAL DIMENSIONALITY 15 1.10 ARGUMENT FOR
DIMENSIONALLY DEPENDENT SCALING LAW 16 1.11 EXPLICIT CALCULATIONS OF THE
SECOND MOMENT OF CLUSTER STATISTICS IN ONE DIMENSION 19 1.12 CALCULATION
OF THE CORRELATION LENGTH ON A BETHE LATTICE 20 1.13 EXPLICIT
CALCULATIONS OF THE SECOND MOMENT OF CLUSTER STATISTICS ON A BETHE
LATTICE 22 1.14 MEAN-FIELD TREATMENT OF THE PROBABILITY OF BEING
CONNECTED TO THE INFINITE CLUSTER 23 1.15 CLUSTER STATISTICS ON A BETHE
LATTICE 24 1.16 SUMMARY OF RELATIONSHIPS BETWEEN EXPONENTS 25 1.17
CALCULATION OF THE CRITICAL SITE PERCOLATION PROBABILITY 26 1.18 VALUE
OF P C FOR BOND PERCOLATION ON THE SQUARE LATTICE 29 1.19 ESTIMATIONS OF
P C FOR BOND PERCOLATION ON THE TRIANGULAER AND HONEYCOMB LATTICES 30 1.2
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/992998891 DIGITALISIERT
DURCH CONTENTS PROPERTIES RELEVANT FOR TRANSPORT AND TRANSPORT
APPLICATIONS 37 2.1 EXPONENTS DESCRIBING BACKBONE STRUCTURE 37 2.2
EXPONENTS FOR CONDUCTION PROPERTIES 39 2.3 SUMMARY OF DERIVED VALUES OF
CRITICAL EXPONENTS 43 2.4 FINITE-SIZE SCALING AND FRACTAL
CHARACTERISTICS 43 2.5 CRITICAL PATH ANALYSIS 44 2.5.1 RELATION OF CPA
TO EXTREME VALUE STATISTICS IN 1D SYSTEMS . 45 2.5.2 CPA IN TWO
DIMENSIONS 47 2.5.3 CPA IN 3D 49 2.5.4 DIMENSIONAL DEPENDENCE AND
SIMILARITY TO MATHERON CONJECTURE 50 2.5.5 OPTIMIZATION OF THE
PERCOLATION NETWORK: CONTRAST BETWEEN 2D AND 3D 51 PROBLEMS 54
REFERENCES 54 POROUS MEDIA PRIMER FOR PHYSICISTS 57 3.1 INTRODUCTION AND
BACKGROUND 57 3.2 RELEVANT SOIL PHYSICS 59 3.2.1 POROSITY AND MOISTURE
CONTENT 59 3.2.2 CLASSIFICATION OF THE PORE SPACE 61 3.2.3 PARTICLE
SIZES AND PORE SIZES 64 3.2.4 PARALLEL TUBE, NETWORK, AND FRACTAL MODELS
67 3.2.5 REPRESENTATIVE ELEMENTARY VOLUME AND THE CONCEPT OF UPSCALING
68 3.2.6 POROSITY AND FRACTAL MEDIA 69 3.3 SOIL WATER POTENTIAL AND
WATER RETENTION 74 3.4 HYSTERESIS AND TIME DEPENDENCE IN
PRESSURE-SATURATION RELATIONSHIPS 80 3.5 HYDRAULIC AND TRANSPORT
PROPERTIES 82 3.6 SOME NOTES ON EXPERIMENTAL PROCEDURES 88 3.7 ONE
EXAMPLE FROM LIVING ORGANISMS 89 PROBLEMS 91 REFERENCES 91 SPECIFIC
EXAMPLES OF CRITICAL PATH ANALYSIS 9 CONTENTS XVII 5 HYDRAULIC AND
ELECTRICAL CONDUCTIVITY: CONDUCTIVITY EXPONENTS AND CRITICAL PATH
ANALYSIS 123 5.1 HYDRAULIC AND ELECTRICAL CONDUCTIVITIES, AND
ELECTROKINETIC COUPLING: UNIVERSAL AND NONUNIVERSAL EXPONENTS 125 5.1.1
BAIBERG NONUNIVERSALITY 128 5.1.2 TRANSITION FROM CRITICAL PATH ANALYSIS
TO PERCOLATION SCALING 130 5.1.3 RETURN TO BAIBERG NONUNIVERSALITY 133
5.1.4 INFERENCES ON POROSITY DEPENDENCES AT FUELL SATURATION: ARCHIE S
LAW 134 5.1.5 UNIVERSAL EXPONENTS MASQUERADING AS NONUNIVERSAL 136 5.1.6
REGIONS OF APPLICABILITY 139 5.2 ELECTRICAL CONDUCTIVITY AS A FUNCTION
OF SATURATION: TRENDS AND POTENTIAL COMPLICATIONS IN EXPERIMENTAL DATA
142 5.2.1 COMPARISON WITH EXPERIMENT 145 5.3 EFFECTS OF ARBITRARY
PORE-SIZE DISTRIBUTIONS 154 5.4 WATER FILM ISSUES 157 5.5 ELECTRICAL
CONDUCTIVITY FOR 0 $ 162 PROBLEMS 163 REFERENCES 163 6 OTHER TRANSPORT
PROPERTIES OF POROUS MEDIA 169 6.1 AIR PERMEABILITY 169 6.2 THERMAL
CONDUCTIVITY 173 6.2.1 GENERAL COMMENTS ON THE SATURATION DEPENDENCE OF
THE THERMAL CONDUCTIVITY 173 6.2.2 THEORETICAL CONSTRUCTION 174 6.3
SOLUTE AND GAS DIFFUSION 180 6.4 ELECTRICAL CONDUCTIVITY OF HYDRATED
CLAY MINERALS 188 6.4.1 R-PERCOLATION AND E-PERCOLATION 191 6.4.2
PERCOLATION CALCULATION OF A 194 6.5 GEOPHYSICAL APPLICATIONS 200 6.
XVIII CONTENTS 7.6 OIL RESIDUAIS 229 PROBLEMS 229 REFERENCES 230 8
APPLICATIONS OF THE CORRELATION LENGTH: SCALE EFFECTS ON FLOW 233 8.1
ISOLATION OF GEOLOGIE AND PERCOLATION EFFECTS ON A CORRELATION LENGTH
234 8.2 EFFECTS OF DIMENSIONAL CROSSOVERS ON CONDUCTIVITY 234 8.3
COMPARISON WITH FIELD DATA 240 8.4 EFFECTS OF HYDROPHOBICITY ON WATER
UPTAKE OF POROUS MEDIA 242 PROBLEMS 243 REFERENCES 244 9 APPLICATIONS OF
THE CLUSTER STATISTICS 247 9. 1 SPATIAL STATISTICS AND VARIABILITY OF K
FROM CLUSTER STATISTICS OF PERCOLATION THEORY 247 9.2 CLUSTER STATISTICS
TREATMENT OF NONEQUIDIMENSIONAL VOLUMES AND ANISOTROPY 254 9.3
SEMIVARIOGRAMS AND CROSS-COVARIANCE 261 PROBLEMS 263 REFERENCES 264 10
PROPERTIES BASED ON TORTUOSITY 265 10.1 LONGITUDINAL DISPERSION OF
SOLUTES IN POROUS MEDIA 265 10.1.1 QUANTIFYING LIMITATIONS OF THE
NEGLECT OF DIFFUSION 266 10.1.2 CONVENTIONAL MODELING 266 10.1.3
EXPERIMENTAL OVERVIEW 267 10.1.4 THEORETICAL DESCRIPTIONS 268 10.1.5
GENERAL COMMENTS REGARDING EXPERIMENTS 269 10.1.6 SPATIAL DISTRIBUTION
AT AN INSTANT IN TIME 275 10.1.7 HYDRAULIC CONDUCTIVITY 277 10.2
COMPARISON WITH SIMULATIONS 277 10.3 COMPARISON WITH EXPERIMENT 278 10.
|
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| author | Hunt, Allen G. Ewing, Robert |
| author_GND | (DE-588)130377627 |
| author_facet | Hunt, Allen G. Ewing, Robert |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.13 |
| dewey-search | 530.13 |
| dewey-sort | 3530.13 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 2. ed. |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T21:31:49Z |
| institution | BVB |
| isbn | 9783540897903 9783540897897 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017151805 |
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| physical | XVIII, 319 S. Ill., graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in physics |
| series2 | Lecture notes in physics |
| spelling | Hunt, Allen G. Verfasser (DE-588)130377627 aut Percolation theory for flow in porous media A. Hunt ; R. Ewing 2. ed. Berlin [u.a.] Springer 2009 XVIII, 319 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in physics 771 Poröser Stoff - Transportprozess - Perkolationstheorie Perkolationstheorie (DE-588)4323583-9 gnd rswk-swf Poröser Stoff (DE-588)4046811-2 gnd rswk-swf Transportprozess (DE-588)4185932-7 gnd rswk-swf Poröser Stoff (DE-588)4046811-2 s Transportprozess (DE-588)4185932-7 s Perkolationstheorie (DE-588)4323583-9 s DE-604 Ewing, Robert Verfasser aut Lecture notes in physics 771 (DE-604)BV000003166 771 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017151805&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hunt, Allen G. Ewing, Robert Percolation theory for flow in porous media Lecture notes in physics Poröser Stoff - Transportprozess - Perkolationstheorie Perkolationstheorie (DE-588)4323583-9 gnd Poröser Stoff (DE-588)4046811-2 gnd Transportprozess (DE-588)4185932-7 gnd |
| subject_GND | (DE-588)4323583-9 (DE-588)4046811-2 (DE-588)4185932-7 |
| title | Percolation theory for flow in porous media |
| title_auth | Percolation theory for flow in porous media |
| title_exact_search | Percolation theory for flow in porous media |
| title_full | Percolation theory for flow in porous media A. Hunt ; R. Ewing |
| title_fullStr | Percolation theory for flow in porous media A. Hunt ; R. Ewing |
| title_full_unstemmed | Percolation theory for flow in porous media A. Hunt ; R. Ewing |
| title_short | Percolation theory for flow in porous media |
| title_sort | percolation theory for flow in porous media |
| topic | Poröser Stoff - Transportprozess - Perkolationstheorie Perkolationstheorie (DE-588)4323583-9 gnd Poröser Stoff (DE-588)4046811-2 gnd Transportprozess (DE-588)4185932-7 gnd |
| topic_facet | Poröser Stoff - Transportprozess - Perkolationstheorie Perkolationstheorie Poröser Stoff Transportprozess |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017151805&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003166 |
| work_keys_str_mv | AT huntalleng percolationtheoryforflowinporousmedia AT ewingrobert percolationtheoryforflowinporousmedia |