Representation of inhomogeneities in the flow and transport codes d3f and r3t:
Gespeichert in:
| Weitere beteiligte Personen: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Köln ; Garching b. München ; Berlin ; Braunschweig
GRS
2013
|
| Schriftenreihe: | GRS
311 |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027449606&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Literaturangaben |
| Umfang: | XV, 337 S. graph. Darst. 30 cm |
| ISBN: | 9783939355908 |
Internformat
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| 245 | 1 | 0 | |a Representation of inhomogeneities in the flow and transport codes d3f and r3t |c GRS, Gesellschaft für Anlagen- und Reaktorsicherheit (GRS). Anke Schneider, ed. |
| 264 | 1 | |a Köln ; Garching b. München ; Berlin ; Braunschweig |b GRS |c 2013 | |
| 300 | |a XV, 337 S. |b graph. Darst. |c 30 cm | ||
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| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a GRS |v 311 | |
| 500 | |a Literaturangaben | ||
| 700 | 1 | |a Schneider, Anke |4 edt | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-027449606 | |
Datensatz im Suchindex
| DE-BY-TUM_call_number | 0001 2014 B 1531 |
|---|---|
| DE-BY-TUM_katkey | 2018157 |
| DE-BY-TUM_location | Mag |
| DE-BY-TUM_media_number | 040007880368 |
| _version_ | 1821933862835453952 |
| adam_text | TABLE OF CONTENTS
1 INTRODUCTION 1
2 THE PROJECT 5
2.1 STATE OF SCIENCE AND TECHNOLOGY 5
2.1.1 FLOW AND TRANSPORT MODELLING 5
2.1.2 SEDIMENTARY ROCK 6
2.1.3 FRACTURED ROCK 6
2.1.4 NUMERICAL PROCEDERES 8
2.1.5 MODEL HIERARCHIES 10
2.1.6 INVERSE MODELLING 13
2.2 OVERALL OBJECTIVE 14
2.3 THE ORGANIZATION 16
3 MESO-SCALE REFERENCE MODEL 17
3.1 MOTIVATION 17
3.2 GENERATION OF THE RANDOM FIELDS 19
3.2.1 RANDOM FIELDS 19
3.2.2 VARIOGRAMS AND ASSOCIATED SPECTRA OF RANDOM FIELDS 20
3.2.3 NUMERICAL GENERATION OF RANDOM FIELDS 25
3.2.4 ASSESSING THE QUALITY OF NUMERICALLY GENERATED RANDOM FIELDS 31
3.3 MODELLING OF THE EFFECTIVE PARAMETERS 34
3.3.1 THE TRANSPORT EQUATION 34
3.3.2 THE DARCY EQUATION 35
3.3.3 THE STOCHASTIC APPROACH 35
3.3.4 CORRELATION FUNCTIONS FOR FLUCTUATIONS WITH FINITE AND INFINITE
CORRELATION
LENGTHS 36
3.4 THE METHODS 38
3.4.1 FOURIER TRANSFORMS 38
3.4.2 FOURIER-TRANSFORMED VELOCITY FLUCTUATIONS 39
3.4.3 DISPERSION COEFFICIENTS 40
HTTP://D-NB.INFO/105331745X
3.4.4 TRANSPORT PARAMETERS 41
3.4.5 THE PERTURBATION THEORY 43
3.5 CONTRIBUTIONS DUE TO THE HETEROGENEITIES IN THE VELOCITY FIELD 43
3.5.1 THE FLOW SITUATION: CONTRIBUTIONS DUE TO THE CENTRE-OF-MASS
VELOCITY 44
3.5.2 THE TRANSPORT SITUATION: CONTRIBUTIONS BY THE DISPERSION
COEFFICIENTS 44
3.6 RESULTS FOR TRANSPORT COEFFICIENTS IN FRACTAL POROUS MEDIA 46
3.6.1 GENERAL EXPLICIT EXPRESSIONS FOR THE DISPERSION COEFFICIENTS 48
3.6.2 THE LONGITUDINAL ENSEMBLE DISPERSION COEFFICIENT 49
3.6.3 THE LONGITUDINAL EFFECTIVE DISPERSION COEFFICIENT 51
3.6.4 TEMPORAL BEHAVIOUR OF THE LONGITUDINAL COMPONENTS DN 52
3.6.5 THE TRANSVERSE ENSEMBLE DISPERSION COEFFICIENT 54
3.6.6 THE TRANSVERSE EFFECTIVE DISPERSION COEFFICIENT 55
3.6.7 TEMPORAL BEHAVIOUR OF THE TRANSVERSE COMPONENTS D
2
2 56
3.7 SUMMARY 59
4 NUMERICAL SOLVER FOR THE MESO-SCALE REFERENCE MODEL 61
4.1 HIGHER ORDER FINITE VOLUME SCHEMES 61
4.1.1 DEFINITION OF A FINITE VOLUME SCHEME OF HIGHER ORDER 62
4.1.2 APPLICATION TO THE EQUATION FOR DENSITY DRIVEN FLOW 64
4.1.3 NUMERICAL TEST EXAMPLE 65
4.2 FILTERING ALGEBRAIC MULTIGRID SOLVER 66
4.2.1 GLOBAL AND LOCAL MINIMIZATION 68
4.2.2 SMOOTHER 69
4.2.3 COARSENING ALGORITHM 69
4.3 PARALLELIZATION 70
4.3.1 THE PARALLEL COMMUNICATION LAYER 71
4.3.2 DISTRIBUTED DOMAINS 74
4.3.3 PARALLEL ALGEBRA SETUP 76
4.3.4 A PARALLEL GEOMETRIC MULTIGRID SOLVER ON HIERARCHICALLY
DISTRIBUTED GRIDS.... 77
4.3.5 PARALLELIZATION OF THE FAMG SOLVER 80
5 CONCEPTS AND CRITERIA FOR MULTI-SCALE ADAPTIVITY 85
5.1 MOTIVATION 85
5.2 INTRODUCTION 86
5.3 THE METHOD OF COARSE GRAINING 88
5.3.1 DEFINITION OF THE FILTER 88
5.3.2 APPLICATIONS TO THE LOG-HYDRAULIC CONDUCTIVITY FIELD 90
5.3.3 GRID-SIZE DEPENDENT TRANSPORT EQUATIONS 94
5.3.4 GRID-SIZE DEPENDENT DISPERSION COEFFICIENTS 98
5.4 RESULTS FOR GRID-SIZE DEPENDENT TRANSPORT PARAMETERS 98
5.4.1 GRID-SIZE DEPENDENT COEFFICIENTS WITH FINITE CORRELATION LENGTHS
100
5.4.2 GRID-SIZE DEPENDENT COEFFICIENTS WITH INFINITE CORRELATION LENGTHS
104
5.4.3 TEMPORAL BEHAVIOUR OF THE GRID-SIZE DEPENDENT COEFFICIENTS IN
FRACTAL
MEDIA WITH INFINITE CORRELATION LENGTHS 106
5.5 COMPARISON BETWEEN FINITE AND INFINITE CORRELATIONS LENGTHS 112
5.6 SUMMARY 113
6 ADAPTIVE NUMERICAL MULTI-SCALE SOLVER 115
6.1 INTRODUCTION 115
6.2 MODEL EQUATIONS 116
6.2.1 THE D-DIMENSIONAL MODEL 117
6.2.2 THE (D - L)-DIMENSIONAL MODEL 120
6.3 NUMERICAL METHODS 123
6.3.1 COMPUTATIONAL GRID 124
6.3.2 DISCRETISATION 124
6.3.3 NUMERICAL SOLUTION 131
6.4 COMPARISON OF
D-
AND (D - L)-DIMENSIONAL APPROACHES 131
6.4.1 BENCHMARK PROBLEMS 131
6.4.2 COMPARISON RESULTS 133
6.5 DIMENSION-ADAPTIVE METHODS 137
6.5.1 DIMENSION-ADAPTIVE MULTIGRID METHOD 137
6.5.2 DIMENSION-ADAPTIVE COMPUTATION 138
6.5.3 NUMERICAL EXPERIMENTS 142
6.6 DISCUSSION 144
7 DEVELOPMENT OF SIMPLE MODELS FOR THE FAST COMPUTATION OF FLOW
AND TRANSPORT THROUGH FRACTURED ROCKS 145
7.1 INTRODUCTION 145
7.2 EFFECTIVE TRANSPORT PROPERTIES 147
7.3 . SIMPLE EFFECTIVE ID-TRANSPORT MODELS 149
7.4 ANALYTICAL SOLUTION FOR THE SIMPLE EFFECTIVE ID-MODELS 150
8 ALGORITHMS AND TOOLS FOR INVERSE MODELLING AND PARAMETER
ESTIMATION 153
8.1 INTRODUCTION 153
8.2 PROBLEM DEFINITION 153
8.3 GAUFT-NEWTON-METHOD 154
8.4 IMPLEMENTATION AND PARALLELIZATION 156
8.5 NUMERICAL EXPERIMENTS 157
8.5.1 EXAMPLE GORLEBEN 157
8.5.2 EXAMPLE SALTDOME 160
8.6 CONCLUSIONS 163
9 FAST PREDICTIONS BY RANDOM-WALK METHODS 165
9.1 INTRODUCTION 165
9.2 THEORY 166
9.3 RANDOM WALK PARTICLE TRACKING (RWPT) IN POROUS MEDIA (BENCHMARK
ADUR5-1 AND ADUR5-2) 169
9.3.1 ONE-DIMENSIONAL BENCHMARK (ADUR5-1) 169
9.3.2 THREE-DIMENSIONAL BENCHMARK (ADUR5-2) 174
9.4 RWPT IN PORE SCALE SPACE (BENCHMARK ADUR13-1 AND ADUR13-2) 176
9.4.1 TWO-DIMENSIONAL PORE SCALE BENCHMARK (ADUR13-1) 177
9.4.2 THREE-DIMENSIONAL PORE SCALE BENCHMARK (ADUR13-2) 183
10 BENCHMARKING 189
10.1 INTRODUCTION 189
10.1.1 MEASUREMENTS OF FRACTURE APERTURE 189
10.1.2 EFFECTIVE PARAMETERS: HYDRAULIC VS.
MECHANICAL PERMEABILITY 189
10.1.3 BENCHMARKS ORGANIZATION AND RESPONSIBLE AUTHORS 190
10.2 ALTERNATE NUMERICAL METHODS FOR ADVECTIVE TRANSPORT IN
HETEROGENEOUS
FRACTURES (BENCHMARK ADUR6) 191
10.2.1 FINITE ELEMENTS AND FINITE DIFFERENCE METHOD 191
10.2.2 FINITE ELEMENTS AND RANDOM WALK PARTICLE TRACKING (BENCHMARK
ADUR4-1 AND ADUR4-2) 195
10.3 SORPTION IN HETEROGENEOUS FRACTURES (BENCHMARK ADUR7) 200
10.3.1 PROBLEM DEFINITION 201
10.3.2 RESULTS 202
10.4 MATRIX DIFFUSION IN FRACTURED ROCK (BENCHMARKS ADUR1 AND ADUR2) 204
10.4.1 BACKGROUND 204
10.4.2 SOLUTE TRANSPORT THROUGH A SMOOTH FRACTURE WITH MATRIX DIFFUSION
(BENCHMARK ADUR1) 207
10.4.3 SOLUTE TRANSPORT THROUGH A ROUGH FRACTURE WITH MATRIX DIFFUSION
(BENCHMARK ADUR2) 209
10.5 NUMERICAL MATRIX DIFFUSION: TRANSPORT IN A COUPLED FRACTURE-MATRIX
SYSTEM (BENCHMARK ADUR3) 212
10.5.1 PROBLEM DEFINITION 212
10.5.2 ANALYTICAL SOLUTION 213
10.5.3 NUMERICAL SOLUTION 213
10.5.4 RESULTS 215
10.6 FLOW IN POROUS MEDIA WITH FRACTURES (BENCHMARK ADUR12) 217
10.6.1 PROBLEM DEFINITION 217
10.6.2 ANALYTICAL SOLUTION 218
10.6.3 NUMERICAL SOLUTION 219
10.6.4 RESULTS 220
10.7 FRACTURE NETWORKS: (GRIMSEL SHEAR ZONE), FLOW AND CONSERVATIVE
TRANSPORT (BENCHMARK ADUR8) 221
10.7.1 PROBLEM DEFINITION 221
10.7.2 NUMERICAL SOLUTION 221
10.7.3 RESULTS 222
10.8 FLOW IN DISCRETE FRACTURE-MATRIX SYSTEMS: FLOW AND TRANSPORT IN THE
GRIMSEL 10-FRACTURE NETWORK (BENCHMARK ADURIO AND ADUR11) 224
10.8.1 MOTIVATION 224
10.8.2 INDEPENDENT FRACTURE NETWORK - UNIFORM APERTURE (BENCHMARK
ADUR10) 224
10.8.3 FRACTURE IMBEDDED IN LOW PERMEABILITY MATRIX - UNIFORM APERTURE
(BENCHMARK ADUR11) 227
11 CODE VERIFICATION 231
11.1 FRACTURED ELDER PROBLEM 231
11.2 TESTS USING THE FORCHHEIMER CORRECTION 232
12 PREPROCESSING AND GRAPHICAL USER INTERFACES FOR D
3
F AND 235
12.1 INTRODUCTION 235
12.2 PROJECT FORMAT 235
12.3 IMPROVED UL-GENERATION 236
12.4 DYNAMIC ARRAY VISUALIZATIONS 238
12.4.1 DEFINING ARRAY VISUALIZATIONS 238
12.4.2 ARRAY VISUALIZATIONS AS CONTAINER WITH VARIABLE ELEMENT TYPES 239
12.4.3 CREATING A NEW PROJECT FROM THE D3F TEMPLATE APPLICATION 240
12.4.4 DENSITYDRIVENFLOW COMPONENT: PHYSICAL USER DATA 241
12.4.5 KINETICSOLVER COMPONENT 247
12.4.6 VTUVIEWER COMPONENT 250
12.5 PREPARING GEOMETRIES FOR SIMULATING DENSITY DRIVEN FLOW 255
12.5.1 PROMESH 255
12.5.2 CONSTRUCTION OF GEOMETRIES FOR 2D FRACTURED DOMAINS 256
12.5.3 CONSTRUCTING GEOMETRIES FOR 3D FRACTURED DOMAINS 258
13 SUMMARY 261
REFERENCES 267
TABLE OF FIGURES 299
LIST OF TABLES 307
A NOTATION 311
B EXPLICIT EXPRESSIONS FOR THE DISPERSION COEFFICIENTS WITHOUT
COARSE GRAINING FOR FINITE CORRELATION LENGTH 315
C EXPLICIT EXPRESSIONS OF THE SCALE-DEPENDENT DISPERSION
COEFFICIENTS WITH FINITE CORRELATION LENGTHS (CL) 319
D INVERSE MODELLING AND PARAMETER ESTIMATION 325
E PUBLICATIONS 329
F MEETINGS 339
|
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| id | DE-604.BV042007681 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T16:59:59Z |
| institution | BVB |
| isbn | 9783939355908 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027449606 |
| oclc_num | 882997487 |
| open_access_boolean | |
| owner | DE-12 DE-91 DE-BY-TUM |
| owner_facet | DE-12 DE-91 DE-BY-TUM |
| physical | XV, 337 S. graph. Darst. 30 cm |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | GRS |
| record_format | marc |
| series | GRS |
| series2 | GRS |
| spellingShingle | Representation of inhomogeneities in the flow and transport codes d3f and r3t GRS |
| title | Representation of inhomogeneities in the flow and transport codes d3f and r3t |
| title_auth | Representation of inhomogeneities in the flow and transport codes d3f and r3t |
| title_exact_search | Representation of inhomogeneities in the flow and transport codes d3f and r3t |
| title_full | Representation of inhomogeneities in the flow and transport codes d3f and r3t GRS, Gesellschaft für Anlagen- und Reaktorsicherheit (GRS). Anke Schneider, ed. |
| title_fullStr | Representation of inhomogeneities in the flow and transport codes d3f and r3t GRS, Gesellschaft für Anlagen- und Reaktorsicherheit (GRS). Anke Schneider, ed. |
| title_full_unstemmed | Representation of inhomogeneities in the flow and transport codes d3f and r3t GRS, Gesellschaft für Anlagen- und Reaktorsicherheit (GRS). Anke Schneider, ed. |
| title_short | Representation of inhomogeneities in the flow and transport codes d3f and r3t |
| title_sort | representation of inhomogeneities in the flow and transport codes d3f and r3t |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027449606&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008889593 |
| work_keys_str_mv | AT schneideranke representationofinhomogeneitiesintheflowandtransportcodesd3fandr3t |
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