Fractured porous media:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford
Oxford University Press
2013
|
| Edition: | 1. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 175 Seiten Illustrationen, Diagramme |
| ISBN: | 9780199666515 |
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MARC
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| 100 | 1 | |a Adler, Pierre M. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Fractured porous media |c Pierre M. Adler, Jean-Francois Thovert, Valeri V. Mourzenko |
| 250 | |a 1. ed. | ||
| 264 | 1 | |a Oxford |b Oxford University Press |c 2013 | |
| 300 | |a VIII, 175 Seiten |b Illustrationen, Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Fracture mechanics | |
| 650 | 4 | |a Porous materials | |
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| 700 | 1 | |a Thovert, Jean-François |e Verfasser |4 aut | |
| 700 | 1 | |a Mourzenko, Valeri V. |e Verfasser |4 aut | |
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Record in the Search Index
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| adam_text | IMAGE 1
CONTENTS
1 I N T R O D U C T I ON 1 1.1 GENERAL I1.2 DESCRIPTION AND TERMINOLOGY
21.3 THE CONCEPT OF PERMEABILITY 41.4 OBJECTIVES AND ORGANIZATION OF
THIS BOOK 6 EXERCISES 8 2 T HE G E O M E T RY OF A SINGLE FRACTURE 92.1
INTRODUCTION 92.2 ANALYSIS OF A FRACTURE 102.2.1 THE THREE STATISTICAL
CHARACTERISTICS OF A FRACTURE 10 2.2.2 THE TWO MAJOR AUTOCORRELATION
FUNCTIONS 12 2.2.3 SUMMARY 142.3 GENERATION OF RANDOM FRACTURES 142.3.1
GENERATION OF CORRELATED RANDOM FIELDS 14 2.3.2 GENERATION OF A RANDOM
FRACTURE 16 2.4 GEOMETRICAL PROPERTIES 162.4.1 CONTACT ZONES 162.4.2
SPATIALLY PERIODIC MEDIA IH 2.4.3 CONNECTED AND PERCOLATING COMPONENTS
19 2.5 THE CONCEPT OF PERCOLATION 192.5.1 PERCOLATION, CLUSTER AND
PERCOLATION THRESHOLD 20 2.5.2 POWER LAWS 212.5.3 SELF SIMILARITY
222.5.4 FINITE SIZE EFFECTS 222.5.5 THE PERCOLATION THRESHOLDS FOR
FRACTURES 23 2.0 EXTENSIONS 242.6.1 GENERATION OF CORRELATED FIELDS BY
FOURIER TRANSFORMS 242.6.2 SELF-AFRINE SURFACES 25EXERCISES 29 3 THE
GEOMETRY OF FRACTURE NETWORKS 30 3.1 INTRODUCTION 303.2 CLASSICAL
ANALYSIS OF A FRACTURE NETWORK 323.2.1 ANALYSIS OF TRACES ON PLANE
SURFACES 32 3.2.2 AN EXAMPLE OF THREE-DIMENSIONAL FIELD DATA 31 3.3
GENERATION OF A FRACTURE NETWORK 353.3.1 COMPLETE ANALYSIS 353.3.2
DETERMINISTIC MODELS 36
IMAGE 2
VI CONTENTS
3.3.3 RANDOM MODELS 37
3.3.4 USE OF A LIBRARY OF DATA 39
3.3.5 SOME CONCLUDING REMARKS 40
3.4 STATISTICAL GEOMETRICAL PROPERTIES OF FRACTURE NETWORKS 40 3.4.1 A
UNIFYING CONCEPT: THE EXCLUDED VOLUME 41
3.4.2 THE DIMENSIONLESS DENSITY P 43
3.4.3 THE PERCOLATION THRESHOLD OF IDENTICAL CONVEX FRACTURES 43
3.4.4 SOLID BLOCKS 46
3.4.5 CONCLUDING REMARKS 47
3.5 ESTIMATION OF THE DIMENSIONLESS DENSITY FROM LINE DATA 48 3.6
ESTIMATION OF THE DIMENSIONLESS DENSITY FROM SURFACE DATA 50 3.7
STEREOLOGICAL RELATIONS FOR CONVEX FRACTURES 51
3.7.1 THE DIRECT STEREOLOGICAL RELATIONS 52
3.7.2 THE INVERSE STEREOLOGICAL RELATIONS 53
3.7.3 CONSISTENCY RELATIONS 53
3.8 EXTENSIONS 54
3.8.1 PERCOLATION OF FRACTURE NETWORKS WITH POWER LAW SIZE DISTRIBUTIONS
54
3.8.2 STEREOLOGICAL RELATIONS FOR ANISOTROPIC NETWORKS OF CONVEX
FRACTURES 57
3.8.3 THE PERCOLATION THRESHOLD OF ANISOTROPIC NETWORKS OF CONVEX
FRACTURES 59
3.5.4 STEREOLOGICAL RELATIONS FOR ANISOTROPIC AND HETERO- GENEOUS
NETWORKS OF CONVEX FRACTURES 59
3.8.5 NETWORKS OF HETEROGENEOUS FRACTURES 61
EXERCISES 65
TRANSPORT IN A SINGLE FRACTURE 66
4.1 INTRODUCTION 66
4.2 FLOW OF A NEWTONIAN FLUID 66
4.2.1 RIGOROUS APPROACH 66
4.2.2 ANALYTICAL APPROXIMATIONS 70
4.2.3 ESTIMATIONS OF THE FRACTURE TRANSMISSIVITY O 72
4.2.4 COMPARISON BETWEEN REYNOLDS AND STOKES TRANS- MISSIVITIES 73
4.3 DIFFUSION OF A PASSIVE SOLUTE 74
4.3.1 A RIGOROUS APPROACH 74
4.3.2 THE REYNOLDS APPROXIMATION 75
4.3.3 ESTIMATIONS OF THE FRACTURE CONDUCTIVITY A 76
4.3.4 COMPARISON BETWEEN REYNOLDS AND LAPLACE CON- DUCTIVITIES 77
4.4 DISPERSION OF A PASSIVE SOLUTE 78
4.5 EXTENSIONS 81
4.5.1 PLANE CHANNELS WITH WAVY WALLS 81
4.5.2 EXTENSION TO SELF-AFFINE FRACTURES 82
EXERCISES 85
IMAGE 3
CONTENTS VII
TRANSPORT IN FRACTURE NETWORKS 86
5.1 INTRODUCTION 86
5.2 GENERAL 87
5.2.1 FLOW EQUATIONS 87
5.2.2 PERMEABILITY K N OF A FRACTURE NETWORK 87
5.2.3 FLOW THROUGH NETWORKS MADE OF INFINITE FRACTURES 89
5.3 NUMERICAL METHODOLOGY 91
5.3.1 MESHING 91
5.3.2 DISCRETIZATION OF THE EQUATIONS AND RESOLUTION 92 5.3.3 NETWORK
PERMEABILITY 93
5.3.4 AN ELEMENTARY EXAMPLE 93
5.4 I 2 OUD FRACTURE NETWORKS 94
5.4.1 PERMEABILITY 94
5.4.2 PROPERTIES OF THE VELOCITY FIELD 98
5.5 EXTENSIONS 102
5.5.1 FRACTURE NETWORKS WITH POWER-LAW SIZE DISTRIBUTIONS 102
5.5.2 ANISOTROPIC FRACTURE NETWORKS 104
5.5.3 NETWORKS OF HETEROGENEOUS FRACTURES 106
EXERCISES 108
TRANSPORT IN A FRACTURED POROUS MEDIUM 109
6.1 INTRODUCTION 109
6.2 GENERAL 109
6.2.1 FLOW EQUATIONS 109
6.2.2 PERMEABILITY A E FF OF A FRACTURED POROUS MEDIUM 111 6.2.3 A
SIMPLE APPROXIMATION FOR K^ 112
6.3 NUMERICAL METHODOLOGY 113
6.3.1 MESHING 113
6.3.2 DISCRETIZATION OF THE EQUATIONS AND RESOLUTION 116 6.3.3 THE
PERMEABILITY OF THE FRACTURED POROUS MEDIUM 117
6.3.4 AN ELEMENTARY EXAMPLE 117
6.4 FRACTURED POROUS MEDIA WITH I 2 OUD FRACTURES 118
6.4.1 IMPORTANCE OF THE EXISTENCE OF THE PERCOLATION THRESHOLD ON
INDIVIDUAL SAMPLES 118
6.4.2 INFLUENCE OF THE FRACTURE SHAPES 121
6.5 EXTENSIONS 121
6.5.1 FRACTURED POROUS MEDIA, WITH POWER-LAW DISTRIBUTION OF FRACTURE
SIZES 121
6.5.2 SLIGHTLY COMPRESSIBLE FLOWS AND APPLICATION TO PRESSURE DRAWDOWN
WELL TESTS 125
EXERCISES 128
TWO-PHASE FLOW THROUGH FRACTURED POROUS MEDIA 129 7.1 INTRODUCTION 129
7.2 LOCAL EQUATIONS ON THE DARCY SCALE 129
IMAGE 4
VIII CONTENTS
7.2.1 CONSERVATION EQUATIONS 129
7.2.2 CONSTITUTIVE EQUATIONS 131
7.3 NUMERICAL APPROACH 133
7.3.1 SPATIAL DISCRETIZATION 133
7.3.2 RESOLUTION OF THE EQUATIONS 134
7.4 REGULAR FRACTURE NETWORKS 134
7.4.1 MULTIPLE FAMILIES OF PARALLEL PLANE FRACTURES ,I -I
7.4.2 SUGAR-BOX RESERVOIR 135
7.5 ISOTROPIC AND HOMOGENEOUS FRACTURED POROUS MEDIA 138 7.5.1
TRANSIENTS FROM VARIOUS INITIAL STATES 138
7.5.2 STEADY STATE MACROSCOPIC PROPERTIES 139
7.5.3 INFLUENCE OF THE PARAMETERS 143
7.6 COMPARISON WITH A CAPILLARY DOMINATED MODEL 143 EXERCISES I * I . R
8 CONCLUDING REMARKS 146
8.1 INTRODUCTION 146
8.2 NUMERICAL I 16
8.2.1 TWO-DIMENSIONAL MESHER 116
8.2.2 THREE-DIMENSIONAL MESHER 148
8.2.3 SINGLE-PHASE FLOW 153
8.2.4 TWO-PHASE BOW 155
8.2.5 CONCLUSIONS 156
8.3 OTHER PHENOMENA 156
8.4 WHERE DO WE STAND? 158
NOTATION 159
REFERENCES 167
INDEX 173
|
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| author | Adler, Pierre M. Thovert, Jean-François Mourzenko, Valeri V. |
| author_facet | Adler, Pierre M. Thovert, Jean-François Mourzenko, Valeri V. |
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| discipline | Geowissenschaften Physik Werkstoffwissenschaften |
| edition | 1. ed. |
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| indexdate | 2024-07-10T00:27:48Z |
| institution | BVB |
| isbn | 9780199666515 |
| language | English |
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| physical | VIII, 175 Seiten Illustrationen, Diagramme |
| publishDate | 2013 |
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| spelling | Adler, Pierre M. Verfasser aut Fractured porous media Pierre M. Adler, Jean-Francois Thovert, Valeri V. Mourzenko 1. ed. Oxford Oxford University Press 2013 VIII, 175 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Fracture mechanics Porous materials Poröser Stoff (DE-588)4046811-2 gnd rswk-swf Klüftung (DE-588)4198409-2 gnd rswk-swf Kluftwasser (DE-588)4522007-4 gnd rswk-swf Grundwasserstrom (DE-588)4121396-8 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Stoffübertragung (DE-588)4057696-6 gnd rswk-swf Kluftgrundwasserleiter (DE-588)4480861-6 gnd rswk-swf Kluftgrundwasserleiter (DE-588)4480861-6 s Klüftung (DE-588)4198409-2 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Kluftwasser (DE-588)4522007-4 s Grundwasserstrom (DE-588)4121396-8 s Stoffübertragung (DE-588)4057696-6 s Poröser Stoff (DE-588)4046811-2 s Thovert, Jean-François Verfasser aut Mourzenko, Valeri V. Verfasser aut SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025455720&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Adler, Pierre M. Thovert, Jean-François Mourzenko, Valeri V. Fractured porous media Fracture mechanics Porous materials Poröser Stoff (DE-588)4046811-2 gnd Klüftung (DE-588)4198409-2 gnd Kluftwasser (DE-588)4522007-4 gnd Grundwasserstrom (DE-588)4121396-8 gnd Mathematisches Modell (DE-588)4114528-8 gnd Stoffübertragung (DE-588)4057696-6 gnd Kluftgrundwasserleiter (DE-588)4480861-6 gnd |
| subject_GND | (DE-588)4046811-2 (DE-588)4198409-2 (DE-588)4522007-4 (DE-588)4121396-8 (DE-588)4114528-8 (DE-588)4057696-6 (DE-588)4480861-6 |
| title | Fractured porous media |
| title_auth | Fractured porous media |
| title_exact_search | Fractured porous media |
| title_full | Fractured porous media Pierre M. Adler, Jean-Francois Thovert, Valeri V. Mourzenko |
| title_fullStr | Fractured porous media Pierre M. Adler, Jean-Francois Thovert, Valeri V. Mourzenko |
| title_full_unstemmed | Fractured porous media Pierre M. Adler, Jean-Francois Thovert, Valeri V. Mourzenko |
| title_short | Fractured porous media |
| title_sort | fractured porous media |
| topic | Fracture mechanics Porous materials Poröser Stoff (DE-588)4046811-2 gnd Klüftung (DE-588)4198409-2 gnd Kluftwasser (DE-588)4522007-4 gnd Grundwasserstrom (DE-588)4121396-8 gnd Mathematisches Modell (DE-588)4114528-8 gnd Stoffübertragung (DE-588)4057696-6 gnd Kluftgrundwasserleiter (DE-588)4480861-6 gnd |
| topic_facet | Fracture mechanics Porous materials Poröser Stoff Klüftung Kluftwasser Grundwasserstrom Mathematisches Modell Stoffübertragung Kluftgrundwasserleiter |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025455720&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT adlerpierrem fracturedporousmedia AT thovertjeanfrancois fracturedporousmedia AT mourzenkovaleriv fracturedporousmedia |