Fractures and fracture networks:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Dordrecht [u.a.]
Kluwer
1999
|
| Series: | Theory and applications of transport in porous media
15 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 429 S. Ill., graph. Darst. |
| ISBN: | 0792356470 |
Staff View
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| 245 | 1 | 0 | |a Fractures and fracture networks |c by Pierre M. Adler and Jean-Franc̨ois Thovert |
| 264 | 1 | |a Dordrecht [u.a.] |b Kluwer |c 1999 | |
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| 490 | 1 | |a Theory and applications of transport in porous media |v 15 | |
| 650 | 4 | |a Mathematisches Modell | |
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| 650 | 4 | |a Porous materials |x Fracture | |
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Record in the Search Index
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| adam_text | FRACTURES AND FRACTURE NETWORKS BY PIERRE M. ADLER INSTITUT DE PHYSIQUE
DU GLOBE DE PARIS, AND CNRS, PARIS, FRANCE AND JEAN-FRAN?OIS THOVERT
LABORATOIRE DE COMBUSTION ET DE DITONIQUE DU CNRS, POITIERS, FRANCE
KLUWER ACADEMIC PUBLISHERS DORDRECHT / BOSTON / LONDON TABLE OF CONTENTS
TABLE OF CONTENTS V PREFACE XI INTRODUCTION 1 1.1 DEFINITION AND PURPOSE
1 1.2 ILLUSTRATIVE EXAMPLES 3 1.2.1 FRACTURES 3 1.2.2 FRACTURE NETWORKS
6 1.3 GENERAL REVIEW 8 1.4 GENERAL SCALE ANALYSIS 9 1.5 SCOPE OF THE
BOOK 11 REFERENCES 13 ANALYSIS AND GENERATION OF RANDOM OBJECTS 15 2.1
INTRODUCTION 15 2.2 RANDOM FIELDS 15 2.2.1 DEFINITIONS 15 2.2.2 GENERAL
PROPERTIES OF HOMOGENEOUS FIELDS AND FOURIER TRANSFORMS; ISOTROPY 17
2.2.3 GAUSSIAN FIELDS 22 2.2.4 POISSON PROCESSES 24 2.3 CORRELATED
FIELDS 27 2.3.1 MOVING AVERAGES 28 2.3.2 FOURIER TRANSFORMS 32 2.3.3
MISCELLANEOUS 34 2.3.4 GENERATION OF HOMOGENEOUS FIELDS WITH A GAUSSIAN
CORRELATION 37 2.4 SELF-AFFINE FIELDS 38 2.4.1 GENERAL 38 2.4.2
STATISTICAL PROPERTIES 40 2.4.3 FRACTAL PROPERTIES 42 2.4.4 SPECTRAL
PROPERTIES 44 VI TABLE OF CONTENTS 2.4.5 EXTENSION TO SURFACES 46 2.4.6
GENERATION OF SELF-AFFINE AND HETEROGENEOUS FIELDS . . 47 2.5 GENERATION
OF NETWORKS 50 2.5.1 RANDOM SURFACES 51 2.5.2 ORIENTATIONAL PROPERTIES
55 2.5.3 BASIC NETWORK MODELS 58 2.6 SOME GENERAL GEOMETRICAL AND
TOPOLOGICAL PROPERTIES .... 60 REFERENCES 64 3 TRANSPORT AND MECHANICAL
PROPERTIES 67 3.1 GENERAL 67 3.2 THE FOUR BASIC PHENOMENA 67 3.2.1
TRANSPORT AND DIVERGENCE THEOREMS 68 3.2.2 THE DIFFUSION EQUATION 69
3.2.3 EQUATIONS FOR FLUID MOTIONS 71 3.2.4 CONVECTION-DIFFUSION EQUATION
75 3.2.5 ELASTIC DEFORMATIONS 77 3.3 TRANSPORT PROPERTIES OF A SINGLE
FRACTURE 79 3.3.1 GENERAL CONCEPTS 79 3.3.2 DARCY S LAW FOR INTERSTITIAL
VELOCITY 83 3.3.3 FLUX PER UNIT LENGTH 85 3.4 LUBRICATION APPROXIMATION
86 3.4.1 LONG WAVE LENGTHS 87 3.4.2 SMALL AMPLITUDES 89 3.5 TRANSPORT
PROPERTIES OF A PLANE FRACTURE NETWORK 93 3.5.1 GENERAL 93 3.5.2 LOCAL
EQUATIONS IN A FRACTURE NETWORK 94 3.5.3 PERMEABILITY OF A HOMOGENEOUS
FRACTURE NETWORK . . 97 3.5.4 FRACTURE NETWORKS MADE OF INFINITE PLANES
99 REFERENCES 102 4 A SINGLE FRACTURE: GENERATION, CHARACTERIZATION 103
4.1 INTRODUCTION 103 4.2 REVIEW OF EXPERIMENTAL MEASUREMENT TECHNIQUES
103 4.2.1 SURFACE CHARACTERIZATION 104 4.2.2 FRACTURE CHARACTERIZATION
105 4.3 GEOMETRICAL DESCRIPTION OF SURFACES 107 4.3.1 DEFINITION OF THE
SURFACES 107 4.3.2 LOCAL PARAMETERS 109 4.3.3 SPATIAL CORRELATIONS 110
4.3.4 SELF-AFFINE SURFACES 113 4.4 GEOMETRICAL DESCRIPTION OF FRACTURES
115 TABLE OF CONTENTS VII 4.4.1 DEFINITIONS 115 4.4.2 LOCAL PARAMETERS
116 4.4.3 SPATIAL CORRELATIONS 118 4.5 MODERATION AND GENERATION OF
FRACTURES 121 4.5.1 PLANE CHANNELS WITH OBSTACLES 122 4.5.2
TWO-DIMENSIONAL FRACTURE MODELS 122 4.5.3 APERTURE FIELD GENERATION 123
4.5.4 THREE-DIMENSIONAL RECONSTRUCTION 123 4.6 LOCAL PROPERTIES OF
GAUSSIAN SURFACES AND UNMATED FRACTURES: SOME THEORETICAL RESULTS AND
NUMERICAL SIMULATIONS 127 4.6.1 GAUSSIAN SURFACES 127 4.6.2 UNMATED
FRACTURES WITH GAUSSIAN SURFACES 129 4.7 DISTRIBUTION OF CONTACTS
BETWEEN FRACTURE SURFACES 137 4.7.1 TERMINOLOGY 137 4.7.2 THEORETICAL
138 4.7.3 COMPARISON WITH NUMERICAL DATA FOR GAUSSIAN FRAC- TURES (H =
L) 142 4.7.4 NUMERICAL DATA FOR SELF-AFFINE FRACTURES (H 1) . . . 143
4.7.5 CONNECTIVITY OF PERCOLATING FRACTURES 144 4.8 STRUCTURE OF
PERCOLATING CLUSTERS 145 4.8.1 PERCOLATION THRESHOLD 146 4.8.2 THE
CRITICAL EXPONENTS U, 0 AND 7 156 REFERENCES 159 GEOMETRY OF FRACTURE
NETWORKS 163 5.1 INTRODUCTION 163 5.2 FRACTURE NETWORKS FROM
EXPERIMENTAL OBSERVATIONS 163 5.2.1 ACQUISITION TECHNIQUES 164 5.2.2
GEOMETRICAL PARAMETERS 165 5.2.3 INFERRING OF THREE-DIMENSIONAL
CHARACTERISTICS FROM TWO- DIMENSIONAL DATA 169 5.2.4 MODELS OF FRACTURE
NETWORKS 184 5.3 TOPOLOGY 187 5.3.1 GENERAL CONSIDERATIONS ON CONTINUUM
PERCOLATION . . 187 5.3.2 FRACTURE NETWORK MODEL 196 5.3.3 METHODS 197
5.3.4 TOPOLOGY OF THE FRACTURE SPACE 201 5.3.5 PARTITION OF THE SOLID
SPACE BY THE FRACTURE NETWORK . 210 5.4 CHARACTERIZATION OF A NATURAL
FRACTURE NETWORK 212 REFERENCES 218 VIII TABLE OF CONTENTS 6 ELEMENTARY
TRANSPORT IN SINGLE FRACTURES 223 6.1 INTRODUCTION 223 6.2 CONVECTION IN
A SINGLE FRACTURE 223 6.2.1 ASYMPTOTIC ANALYSIS OF THE STOKES EQUATIONS
224 6.2.2 EXPERIMENTAL PERMEABILITY MEASUREMENTS 230 6.2.3 ANALYTIC AND
SEMI-ANALYTIC PERMEABILITY DERIVATIONS 233 6.2.4 APPLICATIONS OF THE
LUBRICATION APPROXIMATION .... 235 6.2.5 SOLUTION TO THE
THREE-DIMENSIONAL FLOW EQUATIONS . . 242 6.3 CONDUCTION IN A SINGLE
FRACTURE 252 6.3.1 GENERAL 253 6.3.2 EXPERIMENTAL CONDUCTIVITY
MEASUREMENTS 254 6.3.3 ANALYTICAL SOLUTIONS FOR WIDE FRACTURES 254 6.3.4
LUBRICATION APPROXIMATION 256 6.3.5 NUMERICAL SOLUTION OF THE LAPLACE
EQUATION IN HOMO- GENEOUS FRACTURES , 258 6.3.6 SELF-AFFINE FRACTURES
264 6.4 DISPERSION OF A PASSIVE SOLUTE 275 6.4.1 GENERAL 275 6.4.2
MULTIPLE-SCALE ANALYSIS 279 6.4.3 THE METHOD OF MOMENTS 283 6.4.4
ANALYTICAL DETERMINATIONS OF THE DISPERSION TENSOR . 284 6.4.5
EXPERIMENTAL MEASUREMENTS 286 6.4.6 NUMERICAL SIMULATIONS 290 6.4.7
TRANSPORT AT FRACTURE INTERSECTIONS 295 REFERENCES 300 7 ELEMENTARY
TRANSPORT IN FRACTURE NETWORKS 305 7.1 INTRODUCTION 305 PART A: BOND
NETWORKS 306 7.2 GEOMETRY OF SITE AND BOND PERCOLATION 306 7.2.1 GENERAL
CONCEPTS 306 7.2.2 ELEMENTARY EXAMPLES 309 7.2.3 PERCOLATION ON SQUARE
AND CUBIC LATTICES 311 7.3 THE VARIOUS MODELS OF BOND NETWORKS 314 7.3.1
GENERAL 315 7.3.2 ON-LATTICE BOND NETWORKS 316 7.3.3 OFF-LATTICE BOND
NETWORKS 316 7.3.4 MULTISCALE BOND NETWORKS 317 7.4 CONDUCTION AND
PERMEABILITY OF BOND NETWORKS 319 7.4.1 GENERAL 319 7.4.2 STANDARD
PERCOLATION THEORY 321 TABLE OF CONTENTS IX 7.4.3 ON-LATTICE BOND
NETWORKS 326 7.4.4 OFF-LATTICE BOND NETWORKS 330 7.4.5 MULTISCALE BOND
NETWORKS 332 7.5 TAYLOR DISPERSION OF BOND NETWORKS 334 7.5.1 GENERAL
335 7.5.2 STANDARD PERCOLATION THEORY 336 7.5.3 ON LATTICE BOND NETWORKS
340 7.5.4 OFF-LATTICE BOND NETWORKS 341 PART B: NETWORKS OF
THREE-DIMENSIONAL DISCRETE FRACTURES344 7.6 GENERATION, CHARACTERIZATION
AND TRIANGULATION OF DISCRETE FRACTURE NETWORKS 344 7.6.1 GEOMETRY OF
THE FRACTURE NETWORK 344 7.6.2 TRIANGULATION 347 7.7 CONDUCTION AND
PERMEABILITY OF DISCRETE FRACTURE NETWORKS . 350 7.7.1 GENERAL 350 7.7.2
DIMENSIONLESS FORMULATION AND NUMERICAL IMPLEMEN- TATION 353 7.7.3 LOCAL
VELOCITY DISTRIBUTION 355 7.7.4 INFLUENCE OF THE FRACTURE DENSITY FOR
MONODISPERSE HEXAGONS 357 7.7.5 INFLUENCE OF THE FRACTURE SHAPE 360
7.7.6 PERMEABILITY OF A NATURAL FRACTURE NETWORK 360 7.8 TAYLOR
DISPERSION IN DISCRETE FRACTURE NETWORKS 361 7.8.1 GENERAL 362 7.8.2 THE
METHOD OF MOMENTS IN FRACTURE NETWORKS .... 365 7.8.3 .- RANDOM WALK
SOLUTION 371 7.8.4 NUMERICAL IMPLEMENTATION AND TESTS 372 7.8.5
INFLUENCE OF THE DENSITY AND OF THE PECLET NUMBER . . 373 PART C:
FRACTURED POROUS MEDIA 377 7.9 GENERAL ANALYSIS OF FLOW AND TRANSPORT IN
FRACTURED POROUS MEDIA 377 7.9.1 DESCRIPTION 377 7.9.2 THE VARIOUS
PROBLEMS 378 7.10 FLOW THROUGH FRACTURED POROUS MEDIA 379 7.10.1 THE
DUAL-POROSITY MODEL 379 7.10.2 MULTISCALE ANALYSIS OF FLOW THROUGH
FRACTURED POROUS MEDIA 381 REFERENCES 386 X TABLE OF CONTENTS 8 COUPLED
PROCESSES IN A SINGLE FRACTURE 391 8.1 INTRODUCTION 391 8.2 FRACTURE
DEFORMATION AND INFLUENCE ON PERMEABILITY 391 8.2.1 GENERAL 391 8.2.2
THEORETICAL MODELS 394 8.2.3 EFFECTIVE PRESSURE 400 8.2.4 A
THREE-DIMENSIONAL NUMERICAL MODEL 402 8.2.5 RESULTS FOR FRACTURE CLOSURE
AND NORMAL STIFFNESS . . . 404 8.2.6 FRACTURE PERMEABILITY UNDER NORMAL
LOAD 409 8.3 DEPOSITION AND DISSOLUTION 412 8.3.1 GENERAL 412 8.3.2
GOVERNING EQUATIONS 414 8.3.3 RESULTS 416 REFERENCES 422 INDEX 425
|
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| indexdate | 2024-07-09T18:31:01Z |
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| isbn | 0792356470 |
| language | English |
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| physical | XII, 429 S. Ill., graph. Darst. |
| publishDate | 1999 |
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| publishDateSort | 1999 |
| publisher | Kluwer |
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| series | Theory and applications of transport in porous media |
| series2 | Theory and applications of transport in porous media |
| spelling | Adler, Pierre M. Verfasser aut Fractures and fracture networks by Pierre M. Adler and Jean-Franc̨ois Thovert Dordrecht [u.a.] Kluwer 1999 XII, 429 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Theory and applications of transport in porous media 15 Mathematisches Modell Groundwater flow Mathematical models Porous materials Fracture Porous materials Permeability Mathematical models Bruchmechanik (DE-588)4112837-0 gnd rswk-swf Bruchmechanik (DE-588)4112837-0 s DE-604 Thovert, Jean-Franc̨ois Verfasser aut Theory and applications of transport in porous media 15 (DE-604)BV004198668 15 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008583804&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Adler, Pierre M. Thovert, Jean-Franc̨ois Fractures and fracture networks Theory and applications of transport in porous media Mathematisches Modell Groundwater flow Mathematical models Porous materials Fracture Porous materials Permeability Mathematical models Bruchmechanik (DE-588)4112837-0 gnd |
| subject_GND | (DE-588)4112837-0 |
| title | Fractures and fracture networks |
| title_auth | Fractures and fracture networks |
| title_exact_search | Fractures and fracture networks |
| title_full | Fractures and fracture networks by Pierre M. Adler and Jean-Franc̨ois Thovert |
| title_fullStr | Fractures and fracture networks by Pierre M. Adler and Jean-Franc̨ois Thovert |
| title_full_unstemmed | Fractures and fracture networks by Pierre M. Adler and Jean-Franc̨ois Thovert |
| title_short | Fractures and fracture networks |
| title_sort | fractures and fracture networks |
| topic | Mathematisches Modell Groundwater flow Mathematical models Porous materials Fracture Porous materials Permeability Mathematical models Bruchmechanik (DE-588)4112837-0 gnd |
| topic_facet | Mathematisches Modell Groundwater flow Mathematical models Porous materials Fracture Porous materials Permeability Mathematical models Bruchmechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008583804&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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