Multiphase flow and transport processes in the subsurface a contribution to the modeling of hydrosystems
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| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1997
|
| Schriftenreihe: | Environmental engineering
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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| 100 | 1 | |a Helmig, Rainer |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Multiphase flow and transport processes in the subsurface |b a contribution to the modeling of hydrosystems |c Rainer Helmig |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1997 | |
| 300 | |a XVI, 367 S. |b graph. Darst. | ||
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| 650 | 7 | |a Transfert de masse |2 ram | |
| 650 | 7 | |a discrétisation |2 inriac | |
| 650 | 7 | |a modélisation mathématique |2 inriac | |
| 650 | 7 | |a modélisation numérique |2 inriac | |
| 650 | 7 | |a processus transport |2 inriac | |
| 650 | 4 | |a Écoulement polyphasique | |
| 650 | 7 | |a Écoulement polyphasique |2 ram | |
| 650 | 7 | |a écoulement multiphase |2 inriac | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Groundwater flow |x Mathematical models | |
| 650 | 4 | |a Mass transfer | |
| 650 | 4 | |a Multiphase flow | |
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102/PHY 220f 2014 A 2167 |
|---|---|
| DE-BY-TUM_katkey | 1991755 |
| DE-BY-TUM_media_number | 040010808403 |
| _version_ | 1816713939330793472 |
| adam_text | RAINER HELMIG MULTIPHASE FLOW AND TRANSPORT PROCESSES IN THE SUBSURFACE
A CONTRIBUTION TO THE MODELING OF HYDROSYSTEMS WITH 190 FIGURES SPRINGER
TABLE OF CONTENTS 1. INTRODUCTION 1 1.1 PROBLEM CLASSIFICATION 1 1.2
PROBLEM FORMULATION AND EXACT DEFINITION OF THE SUBJECT 5 1.2.1
APPLICATION OF THE DIFFERENT MODELS 5 1.2.2 REMARKS ON THE TERM MODEL 10
1.2.3 OBJECTIVE AND STRUCTURE OF THIS BOOK 19 2. FUNDAMENTAL PRINCIPLES
OF CONCEPTUAL MODELING 23 2.1 PRELIMINARY REMARKS 23 2.1.1 GENERAL
REMARKS 23 2.1.2 DEFINITIONS AND FUNDAMENTAL TERMS 29 2.2 SYSTEM
PROPERTIES 34 2.2.1 MASS AND MOLE FRACTIONS 35 2.2.2 DENSITY 38 2.2.3
VISCOSITY 42 2.2.4 SPECIFIC ENTHALPY, SPECIFIC INTERNAL ENERGY 44 2.2.5
SURFACE TENSION 47 2.2.6 SPECIFIC HEAT CAPACITY 47 2.3 PHASE STATE,
PHASE TRANSITION, PHASE CHANGE 48 2.3.1 PHASE STATE 48 2.3.2 PHASE
TRANSITION, PHASE CHANGE 49 2.4 CAPILLARITY 50 2.4.1 MICROSCOPIC
CAPILLARITY 50 2.4.2 MACROSCOPIC CAPILLARITY 53 2.4.3 CAPILLARITY IN
FRACTURES 60 2.5 HYSTERESIS . 64 VIII TABLE OF CONTENTS 2.6 DEFINITION
OF DIFFERENT SATURATIONS 65 2.7 RELATIVE PERMEABILITY 72 2.7.1
PERMEABILITY 72 2.7.2 RELATIVE PERMEABILITY AT THE MICRO SCALE 72 2.7.3
RELATIVE PERMEABILITY AT THE MACRO SCALE 73 2.7.4 RELATIVE
PERMEABILITY-SATURATION RELATION IN FRACTURES . 80 2.7.5 FRACTURE-MATRIX
INTERACTION 81 2.8 PRESSURE AND TEMPERATURE DEPENDENCE OF POROSITY 82 3.
MATHEMATICAL MODELING 85 3.1 GENERAL BALANCE EQUATION 85 3.1.1
PRECONDITIONS AND ASSUMPTIONS 85 3.1.2 THE REYNOLDS TRANSPORT THEOREM IN
INTEGRAL FORM 87 3.1.3 DERIVATION OF THE GENERAL BALANCE EQUATION 88
3.1.4 INITIAL AND BOUNDARY CONDITIONS 91 3.1.5 CHOICE OF THE PRIMARY
VARIABLES 93 3.2 CONTINUITY EQUATION PER PHASE 95 3.2.1 TIME DERIVATIVE
97 3.3 MOMENTUM EQUATION AND DARCY S LAW 97 3.3.1 GENERAL REMARKS 97
3.3.2 DARCY S LAW OF SINGLE-PHASE FLOW 101 3.3.3 GENERALIZATION OF
DARCY S LAW FOR MULTIPHASE FLOW 102 3.4 GENERAL FORM OF THE MULTIPHASE
FLOW EQUATION 103 3.4.1 PRESSURE FORMULATION 104 3.4.2
PRESSURE-SATURATION FORMULATION 105 3.4.3 SATURATION FORMULATION 106
3.4.4 MATHEMATICAL MODELING FOR THREE-PHASE INFILTRATION AND
REMOBILIZATION PROCESSES 109 3.5 TRANSPORT EQUATION 114 3.5.1 BASIC
TRANSPORT EQUATION 114 3.5.2 TRANSPORT IN A MULTIPHASE SYSTEM 116 3.5.3
DESCRIPTION OF THE MASS TRANSFER BETWEEN PHASES 117 3.5.4 MULTICOMPONENT
TRANSPORT PROCESSES IN THE GAS PHASE . 120 3.6 ENERGY EQUATION 132 3.7
MULTIPHASE/MULTICOMPONENT SYSTEM 136 TABLE OF CONTENTS DC 4. NUMERICAL
MODELING 141 4.1 CLASSIFICATION 141 4.1.1 PROBLEM AND SPECIAL SOLUTION
METHODS 141 4.1.2 FUNDAMENTALS OF DISCRETIZATION 145 4.1.3 CONSERVATIVE
DISCRETIZATION 147 4.1.4 WEIGHTED RESIDUAL METHOD 152 4.2 FINITE ELEMENT
AND FINITE VOLUME METHODS 155 4.2.1 SPATIAL DISCRETIZATION 155 4.2.2
CHOICE OF ELEMENT TYPES 158 4.2.3 GALERKIN FINITE ELEMENT METHOD 160
4.2.4 SUBDOMAIN COLLOCATION * FINITE VOLUME METHOD 163 4.2.5 TIME
DISCRETIZATION 164 4.3 LINEARIZATION OF THE MULTIPHASE PROBLEM 169 4.3.1
WEAK NONLINEARITIES 169 4.3.2 STRONG NONLINEARITIES 169 4.3.3 HANDLING
OF THE NONLINEARITIES 169 4.3.4 EXAMPLE: LINEARIZED TWO-PHASE EQUATION
171 4.4 DISCUSSION OF THE INSTATIONARY HYPERBOLIC (CONVECTIVE) TRANS-
PORT EQUATION 175 4.4.1 CLASSIFICATION OF HYPERBOLIC DIFFERENTIAL
EQUATIONS 175 4.4.2 A LINEAR HYPERBOLIC TRANSPORT EQUATION 176 4.4.3 A
QUASILINEAR HYPERBOLIC TRANSPORT EQUATION - BUCKLEY-LEVERETT EQUATION
177 4.4.4 ANALYTICAL SOLUTIONS FOR THE BUCKLEY-LEVERETT PROBLEM . 195
4.5 SPECIAL DISCRETIZATION METHODS 196 4.5.1 MOTIVATION 196 4.5.2 UPWIND
METHOD * FINITE DIFFERENCE METHOD 200 4.5.3 EXPLICIT UPWIND METHOD OF
FIRST ORDER * FULLY UPWIND 201 4.5.4 MULTIDIMENSIONAL UPWIND METHOD OF
FIRST ORDER 205 4.5.5 EXPLICIT UPWIND METHOD OF HIGHER ORDER * TVD TECH-
NIQUES 208 4.5.6 IMPLICIT UPWIND METHOD OF FIRST ORDER * FULLY UPWIND
213 4.5.7 PEIROV-GALERKIN FINITE ELEMENT METHOD 214 4.5.8 ADDITIONAL
REMARKS ON CONSERVATIVE DISCRETIZATION 221 X TABLE OF CONTENTS 4.5.9
FLUX-CORRECTED METHOD 222 4.5.10 MIXED-HYBRID FINITE ELEMENT METHODS 225
5. COMPARISON OF THE DIFFERENT DISCRETIZATION METHODS 229 5.1
DISCRETIZATION 231 5.1.1 FINITE ELEMENT GALERKIN METHOD 232 5.1.2
SUBDOMAIN COLLOCATION FINITE VOLUME METHOD (BOX METHOD) 238 5.2
BOUNDEDNESS PRINCIPLE * DISCUSSION OF A MONOTONIC SOLUTION . 242 5.3
COMPARATIVE STUDY OF THE DIFFERENT METHODS IN HOMOGENEOUS POROUS MEDIA
250 5.3.1 MULTIPHASE FLOW WITHOUT CAPILLARY PRESSURE EFFECTS *
BUCKLEY-LEVERETT PROBLEM 250 5.3.2 MULTIPHASE FLOW WITH CAPILLARY
PRESSURE EFFECTS * ME WHORTER PROBLEM 258 5.4 HETEROGENEITY EFFECTS 264
5.5 COMPARATIVE STUDY OF THE METHODS FOR FLOW IN HETEROGENEOUS POROUS
MEDIA 275 5.6 FIVE-SPOT WATERFLOOD PROBLEM 290 6. TEST PROBLEMS *
APPLICATIONS 299 6.1 DNAPL-INFILTRATION 299 6.2 LNAPL-INFILTRATION 317
6.3 NON-ISOTHERMAL MULTIPHASE/MULTICOMPONENT FLOW 324 6.3.1 HEAT PIPE
324 6.3.2 STUDY OF BENCH-SCALE EXPERIMENTS 335 7. FINAL REMARKS 343
|
| any_adam_object | 1 |
| author | Helmig, Rainer |
| author_facet | Helmig, Rainer |
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| dewey-full | 551.49/01/53256 |
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| id | DE-604.BV011458711 |
| illustrated | Illustrated |
| indexdate | 2024-11-25T17:37:10Z |
| institution | BVB |
| isbn | 3540627030 9783642645457 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007707842 |
| oclc_num | 37331694 |
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| owner | DE-703 DE-29T DE-20 DE-706 DE-634 DE-83 DE-11 DE-91G DE-BY-TUM |
| owner_facet | DE-703 DE-29T DE-20 DE-706 DE-634 DE-83 DE-11 DE-91G DE-BY-TUM |
| physical | XVI, 367 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Springer |
| record_format | marc |
| series2 | Environmental engineering |
| spellingShingle | Helmig, Rainer Multiphase flow and transport processes in the subsurface a contribution to the modeling of hydrosystems Eau souterraine - Écoulement - Modèles mathématiques Eaux souterraines - Écoulement - Modèles mathématiques ram Transfert de masse Transfert de masse ram discrétisation inriac modélisation mathématique inriac modélisation numérique inriac processus transport inriac Écoulement polyphasique Écoulement polyphasique ram écoulement multiphase inriac Mathematisches Modell Groundwater flow Mathematical models Mass transfer Multiphase flow Mathematisches Modell (DE-588)4114528-8 gnd Poröser Stoff (DE-588)4046811-2 gnd Hydrodynamik (DE-588)4026302-2 gnd Mehrphasenströmung (DE-588)4169315-2 gnd |
| subject_GND | (DE-588)4114528-8 (DE-588)4046811-2 (DE-588)4026302-2 (DE-588)4169315-2 |
| title | Multiphase flow and transport processes in the subsurface a contribution to the modeling of hydrosystems |
| title_auth | Multiphase flow and transport processes in the subsurface a contribution to the modeling of hydrosystems |
| title_exact_search | Multiphase flow and transport processes in the subsurface a contribution to the modeling of hydrosystems |
| title_full | Multiphase flow and transport processes in the subsurface a contribution to the modeling of hydrosystems Rainer Helmig |
| title_fullStr | Multiphase flow and transport processes in the subsurface a contribution to the modeling of hydrosystems Rainer Helmig |
| title_full_unstemmed | Multiphase flow and transport processes in the subsurface a contribution to the modeling of hydrosystems Rainer Helmig |
| title_short | Multiphase flow and transport processes in the subsurface |
| title_sort | multiphase flow and transport processes in the subsurface a contribution to the modeling of hydrosystems |
| title_sub | a contribution to the modeling of hydrosystems |
| topic | Eau souterraine - Écoulement - Modèles mathématiques Eaux souterraines - Écoulement - Modèles mathématiques ram Transfert de masse Transfert de masse ram discrétisation inriac modélisation mathématique inriac modélisation numérique inriac processus transport inriac Écoulement polyphasique Écoulement polyphasique ram écoulement multiphase inriac Mathematisches Modell Groundwater flow Mathematical models Mass transfer Multiphase flow Mathematisches Modell (DE-588)4114528-8 gnd Poröser Stoff (DE-588)4046811-2 gnd Hydrodynamik (DE-588)4026302-2 gnd Mehrphasenströmung (DE-588)4169315-2 gnd |
| topic_facet | Eau souterraine - Écoulement - Modèles mathématiques Eaux souterraines - Écoulement - Modèles mathématiques Transfert de masse discrétisation modélisation mathématique modélisation numérique processus transport Écoulement polyphasique écoulement multiphase Mathematisches Modell Groundwater flow Mathematical models Mass transfer Multiphase flow Poröser Stoff Hydrodynamik Mehrphasenströmung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007707842&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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