Model adaptive simulation of multiphase and density driven flow in fractured and porous media:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Hannover
Inst. für Strömungsmechanik und Elektronisches Rechnen im Bauwesen
2001
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| Schriftenreihe: | Bericht / Institut für Strömungsmechanik und Elektronisches Rechnen im Bauwesen der Universität Hannover
62 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Zugl.: Hannover, Univ., Diss., 2001. - Zsfassung in dt. u. engl. Sprache |
| Beschreibung: | X, 163 S. graph. Darst. |
Internformat
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Datensatz im Suchindex
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| adam_text | IHWB- BIBLIOFCHEK INV.-NR. A O ISE IT INSTITUT FUR STROMUNGSMECHANIK UND
ELEKTRON. RECHNEN IM BAUWESEN DER UNIVERSITAT HANNOVER TEOBNISCHS
UNIVERSITAT DARMSTADT 5II)I:OTTVEK WASSER UND LII .-SWS LT
PETGFSERTSLRALIE 13 D-S4287 DANR.SLAC-T TSLEFCN 06151 /1GS»59 FAX
03151/I3753 BERICHT NR. 62/2001 1NSTITUT FOR WASSERBAU UNO
WASSERWIRTSCHAFT TECHNISCHE UNIVERSITAT DAIHRSTAOT PETERSENSTR. 13,64287
DARMSTADT TEL. 0 8151 /16 2143 * FAX: 16 32 43 CARSTEN THORENZ MODEL
ADAPTIVE SIMULATION OF MULTIPHASE AND DENSITY DRIVEN FLOW IN FRACTURED
AND POROUS MEDIA CONTENTS CONTENTS ABSTRACT I KURZFASSUNG II PREFACE AND
ACKNOWLEDGEMENTS III CONTENTS V TABLE OF SYMBOLS IX 1 INTRODUCTION 1 1.1
DESCRIPTION OF THE FRACTURED POROUS MEDIUM 2 1.1.1 THE POROUS MEDIUM 2
1.1.2 THE FRACTURED MEDIUM 3 1.2 DENSITY DRIVEN FLOW 4 1.3 MULTIPHASE
FLOW 5 1.4 OBJECTIVE OF THIS WORK 6 1.5 IMPLEMENTATION OF THE NUMERICAL
MODEL 7 2 MATHEMATICAL MODEL 9 2.1 GOVERNING EQUATIONS _ 9 2.1.1 FLUID
MASS CONSERVATION 10 2.1.2 MULTIPHASE FLOW FIELD EQUATIONS 11 2.1.3
GENERALIZED PRESSURE FIELD EQUATION 14 2.1.4 SATURATION FIELD EQUATION
FOR MULTIPHASE FLOW 15 2.1.5 TRACER MASS CONSERVATION 16 2.2 EQUATIONS
OF STATE 20 2.2.1 PERMEABILITIES 20 2.2.2 RELATIVE PERMEABILITY-VELOCITY
FUNCTION 21 2.2.3 RELATIVE PERMEABILITY-SATURATION FUNCTIONS 22 2.2.4
CAPILLARY PRESSURE FUNCTIONS 25 2.2.5 FLUID AND TRACER PROPERTIES 28 3
NUMERICAL APPROXIMATION 31 3.1 DISCRETIZATION WITH THE FINITE ELEMENT
METHOD 33 3.1.1 SPATIAL DISCRETIZATION 33 3.1.2 SPATIAL INTERPOLATION
(RITZ APPROACH) 34 3.1.3 ORTHOGONALIZATION OF THE EQUATIONS 37 VI
CONTENTS 3.1.4 APPLICATION OF RITZ APPROACH ON THE ORTHOGONALIZED
EQUATIONS 39 3.1.5 RESULTING ELEMENT MATRICES 40 .6 SPECIAL WEIGHTING
FUNCTIONS 42 .7 ASSEMBLING OF SYSTEMS OF LINEAR EQUATIONS 47 .8 BOUNDARY
CONDITIONS 51 .9 CONSIDERATIONS ABOUT GRID ADAPTATION 58 . 10 SOLVING OF
SYSTEMS OF LINEAR EQUATIONS 61 .11 CALCULATION OF FLUXES 64 3.2 SPATIAL
DISCRETIZATION FOR TRACER TRANSPORT PROCESSES IN FRACTURE NETWORKS 65
3.2.1 METHOD OF CHARACTERISTICS (MOC) 65 3.2.2 IMPLEMENTATION 68 3.3
TEMPORAL DISCRETIZATION 69 3.3.1 STABILITY BASED TIME STEPPING CRITERIA
70 3.3.2 HEURISTIC TIME STEPPING CRITERIA 72 3.4 LINEARIZATION 75 3.4.1
ITERATION SCHEMES 75 3.4.2 RELAXATION 77 3.4.3 ACCURACY EVALUATION 79
3.5 MODEL ADAPTIVE METHODS 81 3.5.1 A PRIORI ADAPTATION OF THE PHYSICAL
MODEL 81 3.5.2 RUNTIME ADAPTATION OF THE PHYSICAL MODEL 86 3.5.3 CACHING
OF SYSTEM MATRICES 88 3.5.4 INDEXING CRITERIA FOR MATRIX RECALCULATIONS
91 3.5.5 ACCURACY CONSIDERATIONS 94 3.5.6 EFFICIENCY CONSIDERATIONS 94
3.6 GLOBAL ALGORITHM 96 4 TEST CASES AND APPLICATIONS 99 4.1 PRESSURE
DRAWDOWN AROUND A WELL 100 4.2 GAS FLOW THROUGH A ROCK SAMPLE 101 4.2.1
ANALYTICAL SOLUTION 102 4.2.2 COMPARISON OF ANALYTICAL AND NUMERICAL
SOLUTION 102 4.3 UNIDIRECTIONAL TWO-PHASE FLOW 103 4.3.1 INTRODUCTION
103 4.3.2 ANALYTICAL SOLUTION 104 4.3.3 NUMERICAL SOLUTION 105 4.3.4
IMPACT OF THE MODEL-ADAPTIVE METHODS 108 4.4 MULTIDIRECTIONAL TWO-PHASE
FLOW 110 CONTENTS VH_ 4.4.1 INTRODUCTION 110 4.4.2 NUMERICAL SIMULATION
110 4.4.3 GRID ORIENTATION DEPENDENCY 112 4.4.4 IMPACT OF UPWINDING
SCHEMES ON THE RESULTS 113 4.4.5 MODEL ADAPTIVE METHODS VS. GRID
ADAPTATION 114 4.5 ADVECTIVE TRACER TRANSPORT IN FRACTURE NETWORKS 115
4.6 DENSITY DRIVEN FLOW IN UNSATURATED MEDIA 120 4.6.1 INTRODUCTION 120
4.6.2 EXPERIMENTAL SET-UP 120 4.6.3 EXPERIMENTS 123 4.6.4 NUMERICAL
SIMULATIONS 124 4.6.5 EXPERIMENTAL AND NUMERICAL RESULTS 127 4.6.6
CONCLUSIONS FROM THE LABORATORY EXPERIMENTS 136 4.6.7 IMPACT OF MODEL
AND GRID ADAPTIVITY ON EXECUTION TIME AND ACCURACY 137 4.7 MULTIPHASE
FLOW IN A FRACTURE NETWORK 139 4.8 THREE-PHASE FLOW IN A
THREE-DIMENSIONAL DOMAIN- 143 5 CONCLUSIONS AND OUTLOOK 147 5.1 RESULTS
OF THIS WORK 147 5.2 PROPOSALS FOR FURTHER WORK 149 6 REFERENCES 151 A
ELEMENT MATRICES FOR 1D ELEMENTS 159 MATRIX TYPE A AND B: STORAGE AND
MASS MATRICES 159 MATRIX TYPE C: FLUX MATRIX 160 MATRIX TYPE D:
GRAVITATION MATRIX 162
|
| any_adam_object | 1 |
| author | Thorenz, Carsten |
| author_facet | Thorenz, Carsten |
| author_role | aut |
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| bvnumber | BV014279541 |
| classification_tum | MTA 510d |
| ctrlnum | (OCoLC)76345594 (DE-599)BVBBV014279541 |
| discipline | Physik |
| format | Book |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV014279541 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:00:53Z |
| institution | BVB |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009792805 |
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| physical | X, 163 S. graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
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| publisher | Inst. für Strömungsmechanik und Elektronisches Rechnen im Bauwesen |
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| series2 | Bericht / Institut für Strömungsmechanik und Elektronisches Rechnen im Bauwesen der Universität Hannover |
| spelling | Thorenz, Carsten Verfasser aut Model adaptive simulation of multiphase and density driven flow in fractured and porous media Carsten Thorenz Hannover Inst. für Strömungsmechanik und Elektronisches Rechnen im Bauwesen 2001 X, 163 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Bericht / Institut für Strömungsmechanik und Elektronisches Rechnen im Bauwesen der Universität Hannover 62 Zugl.: Hannover, Univ., Diss., 2001. - Zsfassung in dt. u. engl. Sprache Numerisches Modell (DE-588)4338132-7 gnd rswk-swf Poröser Stoff (DE-588)4046811-2 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Poröser Stoff (DE-588)4046811-2 s Strömungsmechanik (DE-588)4077970-1 s Numerisches Modell (DE-588)4338132-7 s DE-604 Institut für Strömungsmechanik und Elektronisches Rechnen im Bauwesen der Universität Hannover Bericht 62 (DE-604)BV001897382 62 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009792805&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Thorenz, Carsten Model adaptive simulation of multiphase and density driven flow in fractured and porous media Numerisches Modell (DE-588)4338132-7 gnd Poröser Stoff (DE-588)4046811-2 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| subject_GND | (DE-588)4338132-7 (DE-588)4046811-2 (DE-588)4077970-1 (DE-588)4113937-9 |
| title | Model adaptive simulation of multiphase and density driven flow in fractured and porous media |
| title_auth | Model adaptive simulation of multiphase and density driven flow in fractured and porous media |
| title_exact_search | Model adaptive simulation of multiphase and density driven flow in fractured and porous media |
| title_full | Model adaptive simulation of multiphase and density driven flow in fractured and porous media Carsten Thorenz |
| title_fullStr | Model adaptive simulation of multiphase and density driven flow in fractured and porous media Carsten Thorenz |
| title_full_unstemmed | Model adaptive simulation of multiphase and density driven flow in fractured and porous media Carsten Thorenz |
| title_short | Model adaptive simulation of multiphase and density driven flow in fractured and porous media |
| title_sort | model adaptive simulation of multiphase and density driven flow in fractured and porous media |
| topic | Numerisches Modell (DE-588)4338132-7 gnd Poröser Stoff (DE-588)4046811-2 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| topic_facet | Numerisches Modell Poröser Stoff Strömungsmechanik Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009792805&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001897382 |
| work_keys_str_mv | AT thorenzcarsten modeladaptivesimulationofmultiphaseanddensitydrivenflowinfracturedandporousmedia |