Mathematical modeling of groundwater pollution:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
1996
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus dem Chines. übers. |
| Physical Description: | XV, 377 S. graph. Darst. |
| ISBN: | 3540942122 0387942122 |
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| 100 | 1 | |a Sun, Ne-Zheng |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Mathematical modeling of groundwater pollution |c Ne-Zheng Sun |
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Record in the Search Index
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| adam_text | PREFACE VII 1 INTRODUCTION 1 1.1 GROUNDWATER QUALITY 1 1.2 GROUNDWATER
QUALITY MANAGEMENT 2 1.3 GROUNDWATER MODELING 4 2 HYDRODYNAMIC
DISPERSION IN POROUS MEDIA 9 2.1 PHYSICAL PARAMETERS 9 2.1.1 SPATIAL
AVERAGE METHOD 9 2.1.2 FLUID, MEDIUM AND STATE PARAMETERS 12 2.2
PHENOMENA AND MECHANISM OF HYDRODYNAMIC DISPERSION 20 2.2.1 HYDRODYNAMIC
DISPERSION PHENOMENA 20 2.2.2 MECHANISMS OF HYDRODYNAMIC DISPERSION 21
2.2.3 MASS TRANSPORT IN POROUS MEDIA 23 2.3 MASS CONSERVATION AND
CONVECTION-DIFFUSION EQUATIONS IN A FLUID CONTINUUM 24 2.3.1 DIFFUSIVE
VELOCITIES AND FLUXES 24 2.3.2 MASS CONSERVATION EQUATION OF A COMPONENT
25 2.3.3 CONVECTION-DIFFUSION EQUATIONS IN A FLUID CONTINUUM 26 2.4
HYDRODYNAMIC DISPERSION EQUATIONS 27 2.4.1 THE AVERAGE OF TIME
DERIVATIVES 27 2.4.2 THE AVERAGE OF SPATIAL DERIVATIVES 29 2.4.3
ADVECTION-DISPERSION EQUATIONS IN POROUS MEDIA 30 2.4.4 THE INTEGRAL
FORM OF HYDRODYNAMIC DISPERSION EQUATIONS . 32 2.5 COEFFICIENTS OF
HYDRODYNAMIC DISPERSION 33 2.5.1 COEFFICIENTS OF LONGITUDINAL DISPERSION
AND TRANSVERSE DISPERSION 33 2.5.2 COEFFICIENTS OF MECHANICAL DISPERSION
AND MOLECULAR DIFFUSION 36 2.6 EXTENSIONS AND SUBSIDIARY CONDITIONS OF
THE HYDRODYNAMIC DISPERSION EQUATION 39 2.6.1 HYDRODYNAMIC DISPERSION
EQUATIONS IN ORTHOGONAL CURVILINEAR COORDINATE SYSTEMS 39 2.6.2
EXTENSIONS OF HYDRODYNAMIC DISPERSION EQUATIONS 41 2.6.3 INITIAL AND
BOUNDARY CONDITIONS 44 3 ANALYTICAL SOLUTIONS OF HYDRODYNAMIC DISPERSION
EQUATIONS 50 3.1 SUPERPOSITION OF FUNDAMENTAL SOLUTIONS 50 3.1.1 THE
FUNDAMENTAL SOLUTION OF A POINT SOURCE 50 3.1.2 SUPERPOSITION PRINCIPLE
AND IMAGE METHOD 52 3.1.3 CONTINUOUS INJECTION IN A UNIFORM FLOW FIELD
54 3.2 SOME CANONICAL PROBLEMS HAVING ANALYTICAL SOLUTIONS 56 3.2.1
ONE-DIMENSIONAL DISPERSION PROBLEMS 56 3.2.2 TWO- AND THREE-DIMENSIONAL
DISPERSION PROBLEMS 61 3.2.3 RADIAL DISPERSION PROBLEMS 66 3.2.4
DISPERSION PROBLEMS IN FRACTURED ROCK 69 4 FINITE DIFFERENCE METHODS AND
THE METHOD OF CHARACTERISTICS FOR SOLVING HYDRODYNAMIC DISPERSION
EQUATIONS 73 4.1 FINITE DIFFERENCE METHODS 73 4.1.1 FINITE DIFFERENCE
APPROXIMATIONS OF DERIVATIVES 73 4.1.2 FINITE DIFFERENCE SOLUTIONS OF
ONE-DIMENSIONAL DISPERSION PROBLEMS 75 4.1.3 NUMERICAL DISPERSION AND
OVERSHOOT 80 4.1.4 FINITE DIFFERENCE SOLUTIONS OF TWO- AND
THREE-DIMENSIONAL DISPERSION PROBLEMS 83 4.2 THE METHOD OF
CHARACTERISTICS 84 4.2.1 BASIC IDEA OF THE METHOD OF CHARACTERISTICS 84
4.2.2 COMPUTATION OF THE ADVECTION PART 85 4.2.3 COMPUTATION OF THE
DISPERSION PART 88 4.2.4 TREATMENT OF BOUNDARY CONDITIONS AND
SINK/SOURCE TERMS 89 4.2.5 THE RANDOM-WALK MODEL 91 5 FINITE ELEMENT
METHODS FOR SOLVING HYDRODYNAMIC DISPERSION EQUATIONS 97 5.1 FINITE
ELEMENT METHODS FOR TWO-DIMENSIONAL PROBLEMS 97 5.1.1 THE WEIGHTED
RESIDUAL METHOD 97 5.1.2 FINITE ELEMENT DISCRETIZATION AND BASIS
FUNCTIONS 101 5.1.3 HIGH-ORDER ELEMENTS AND HERMITE ELEMENTS 105 5.1.4
ISOPARAMETRIC FINITE ELEMENTS 109 5.1.5 TREATMENT OF BOUNDARY CONDITIONS
113 5.2 THE MULTIPLE CELL BALANCE METHOD 115 5.2.1 GOVERNING EQUATIONS
115 5.2.2 AN ALGORITHM BASED ON MULTIPLE CELL BALANCE 116 5.2.3
COMPARING WITH THE FINITE ELEMENT METHOD 122 5.2.4 THE TEST OF NUMERICAL
SOLUTIONS 123 5.3 FINITE ELEMENT METHODS FOR THREE-DIMENSIONAL PROBLEMS
125 5.3.1 THE GALERKIN FINITE ELEMENT METHOD 125 5.3.2 TRIANGULAR PRISM
ELEMENTS AND ASSOCIATED BASIS FUNCTIONS . 132 5.3.3 A MIXED FINITE
ELEMENT-FINITE DIFFERENCE METHOD 135 5.3.4 THE MULTIPLE CELL BALANCE
METHOD 138 5.4 THE SOLUTION OF FINITE ELEMENT SYSTEMS 143 5.4.1 FEATURES
OF FINITE ELEMENT SYSTEMS AND DIRECT SOLUTIONS . .. 143 5.4.2 POINT
ITERATION METHODS 144 5.4.3 BLOCK AND LAYER ITERATION METHODS 146 6
NUMERICAL SOLUTIONS OF ADVECTION-DOMINATED PROBLEMS 149 6.1
ADVECTION-DOMINATED PROBLEMS 149 6.1.1 FOURIER ANALYSIS OF NUMERICAL
ERRORS 149 6.1.2 EULERIAN AND LAGRANGIAN REFERENCE FRAMES 154 6.2
UPSTREAM WEIGHTED METHODS 155 6.2.1 UPSTREAM WEIGHTED FINITE DIFFERENCE
METHODS 155 6.2.2 UPSTREAM WEIGHTED FINITE ELEMENT METHODS 158 6.2.3 THE
UPSTREAM WEIGHTED MULTIPLE CELL BALANCE METHOD .... 163 6.3 MOVING
COORDINATE SYSTEM AND MOVING POINT METHODS 172 6.3.1 MOVING COORDINATE
SYSTEM METHODS 172 6.3.2 ELEMENT DEFORMATION METHODS 175 6.3.3 MOVING
POINT METHODS 176 6.4 THE MODIFIED METHODS OF CHARACTERISTICS 177 6.4.1
THE SINGLE STEP REVERSE METHOD 177 6.4.2 THE HYBRID SINGLE STEP
REVERSE-MOVING POINT METHOD 180 6.4.3 THE HYBRID MOVING
POINT-CHARACTERISTICS FINITE ELEMENT METHOD 182 7 MATHEMATICAL MODELS OF
GROUNDWATER QUALITY 187 7.1 THE CLASSIFICATION OF GROUNDWATER QUALITY
MODELS 187 7.1.1 HYDRODYNAMIC DISPERSION MODELS 187 7.1.2 COUPLED
EQUATIONS OF GROUNDWATER FLOW AND MASS TRANSPORT 191 7.1.3 PURE
ADVECTION MODELS 193 7.1.4 LUMPED PARAMETER MODELS 196 7.1.5 CRITERIA OF
MODEL SELECTION 199 7.2 MODEL CALIBRATION AND PARAMETER ESTIMATION 201
7.2.1 PARAMETER IDENTIFICATION OF ADVECTION-DISPERSION EQUATIONS 201
7.2.2 FIELD EXPERIMENTS FOR DETERMINING DISPERSIVITIES 204 7.2.3 THE
RELATIONSHIP BETWEEN VALUES OF DISPERSIVITY AND SCALES OF EXPERIMENT 213
7.2.4 DETERMINATION OF MEAN FLOW VELOCITIES 217 7.2.5 IDENTIFICATION OF
RETARDATION FACTOR AND CHEMICAL REACTION PARAMETERS 218 7.2.6
IDENTIFICATION OF POLLUTANT SOURCES 219 7.2.7 COMPUTER AIDED DESIGN FOR
FIELD EXPERIMENTS 220 7.3 COUPLED INVERSE PROBLEMS OF GROUNDWATER FLOW
AND MASS TRANSPORT 223 7.3.1 DEFINITION OF COUPLED INVERSE PROBLEMS 223
7.3.2 VARIATIONAL SENSITIVITY ANALYSIS 226 7.3.3 IDENTIFIABILITY 231
7.3.4 EXPERIMENTAL DESIGN 234 7.4 STATISTIC THEORY AND UNCERTAINTY
ANALYSIS 235 7.4.1 THE STATISTIC THEORY OF MASS TRANSPORT IN POROUS
MEDIA ... 235 7.4.2 THE HETEROGENEITY OF NATURAL FORMATIONS 236 7.4.3
STOCHASTIC ADVECTION-DISPERSION EQUATIONS AND MACRODISPERSIVITIES 237
7.4.4 UNCERTAINTIES OF GROUNDWATER QUALITY MODELS 238 7.4.5 CONDITIONAL
SIMULATIONS AND STOCHASTIC INVERSE PROBLEMS .. 243 8 APPLICATIONS OF
GROUNDWATER QUALITY MODELS 247 8.1 SIMULATION AND PREDICTION OF
GROUNDWATER POLLUTION 247 8.1.1 THE GENERAL PROCEDURE OF STUDYING
GROUNDWATER POLLUTION PROBLEMS 247 8.1.2 GROUNDWATER POLLUTION OF
SATURATED LOOSE AQUIFERS 250 8.1.3 GROUNDWATER POLLUTION OF
SATURATED-UNSATURATED AQUIFERS . 253 8.1.4 GROUNDWATER POLLUTION OF
FRACTURED AQUIFERS 256 8.2 SEAWATER INTRUSION 262 8.2.1 THE PROBLEM OF
SEAWATER INTRUSION 262 8.2.2 FRESH WATER-SEA WATER INTERFACES 264 8.2.3
NUMERICAL METHODS FOR DETERMINING THE LOCATION OF INTERFACES 269 8.2.4
DETERMINATION OF THE TRANSITION ZONES 271 8.3 GROUNDWATER QUALITY
MANAGEMENT MODELS 275 8.3.1 GROUNDWATER HYDRAULIC MANAGEMENT MODELS 275
8.3.2 MANAGEMENT OF GROUNDWATER POLLUTION SOURCES 280 8.3.3 PROJECT
MODELS OF GROUNDWATER QUALITY MANAGEMENT 284 8.3.4 CONJUNCTIVE USE AND
WATER RESOURCES PLANNING 287 8.3.5 REMEDIATION OF POLLUTED AQUIFERS 288
8.3.6 THE RELIABILITY OF MANAGEMENT MODELS 289 8.3.7 ECONOMIC AND
POLITICAL MODELS IN GROUNDWATER MANAGEMENT 291 CONCLUSIONS 295 APPENDIX
A THE RELATED PARAMETERS IN THE MODELING MASS TRANSPORT IN POROUS MEDIA
297 APPENDIX B A FORTRAN PROGRAM FOR SOLVING COUPLED GROUNDWATER FLOW
AND CONTAMINANT TRANSPORT PROBLEMS 300 B.L FEATURES AND ASSUMPTIONS 300
B.2 PROGRAM STRUCTURE 301 B.3 INPUT DATA FILES 301 B.4 OUTPUT DATA FILES
305 B.5 FLOPPY DISK AND DEMO PROBLEM 306 B.6 SOURCE PROGRAMS 307
REFERENCES 355 INDEX 370
|
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| institution | BVB |
| isbn | 3540942122 0387942122 |
| language | English |
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| physical | XV, 377 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
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| spelling | Sun, Ne-Zheng Verfasser aut Mathematical modeling of groundwater pollution Ne-Zheng Sun New York [u.a.] Springer 1996 XV, 377 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Aus dem Chines. übers. Mathematisches Modell Groundwater Pollution Mathematical models Grundwasserverschmutzung (DE-588)4020822-9 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Grundwasserverschmutzung (DE-588)4020822-9 s Mathematisches Modell (DE-588)4114528-8 s DE-604 OEBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006502205&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sun, Ne-Zheng Mathematical modeling of groundwater pollution Mathematisches Modell Groundwater Pollution Mathematical models Grundwasserverschmutzung (DE-588)4020822-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4020822-9 (DE-588)4114528-8 |
| title | Mathematical modeling of groundwater pollution |
| title_auth | Mathematical modeling of groundwater pollution |
| title_exact_search | Mathematical modeling of groundwater pollution |
| title_full | Mathematical modeling of groundwater pollution Ne-Zheng Sun |
| title_fullStr | Mathematical modeling of groundwater pollution Ne-Zheng Sun |
| title_full_unstemmed | Mathematical modeling of groundwater pollution Ne-Zheng Sun |
| title_short | Mathematical modeling of groundwater pollution |
| title_sort | mathematical modeling of groundwater pollution |
| topic | Mathematisches Modell Groundwater Pollution Mathematical models Grundwasserverschmutzung (DE-588)4020822-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Mathematisches Modell Groundwater Pollution Mathematical models Grundwasserverschmutzung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006502205&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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