Seepage and groundwater flow: Numerical analysis by analog and digital methods
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Chichester
Wiley
1979
|
| Series: | Wiley series in geotechnical engineering.
A Wiley-interscience publication. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 339 S.: graph.Darst. |
| ISBN: | 0471997544 |
Staff View
MARC
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| 245 | 1 | 0 | |a Seepage and groundwater flow |b Numerical analysis by analog and digital methods |c K. R. Rushton ; S. C. Redshaw* |
| 264 | 1 | |a Chichester |b Wiley |c 1979 | |
| 300 | |a XII, 339 S.: graph.Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 0 | |a Wiley series in geotechnical engineering. | |
| 490 | 0 | |a A Wiley-interscience publication. | |
| 650 | 4 | |a Eau souterraine - Écoulement - Informatique | |
| 650 | 4 | |a Eau souterraine - Écoulement - Modèles mathématiques | |
| 650 | 4 | |a Infiltration - Informatique | |
| 650 | 4 | |a Infiltration - Modèles mathématiques | |
| 650 | 4 | |a Datenverarbeitung | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Groundwater flow |x Data processing | |
| 650 | 4 | |a Groundwater flow |x Mathematical models | |
| 650 | 4 | |a Seepage |x Data processing | |
| 650 | 4 | |a Seepage |x Mathematical models | |
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Record in the Search Index
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| adam_text | Contents
Preface v
Symbols xi
PART I. GENERAL CONSIDERATIONS
Chapter 1 Introduction
1.1 Practical Implications of Seepage and Groundwater
Flow 3
1.2 Range of Techniques 4
1.3 Reasons for Choosing Finite Differences 7
1.4 Accuracy 8
1.5 Scope of the Book 9
Chapter 2 Review of Fundamental Equations
2.1 Introduction 11
2.2 Darcy s Law 12
2.3 Steady state Flow 13
2.4 Time variant Problems 15
2.5 Idealizations for Practical Situations 18
Chapter 3 Finite Differences; Relevant Aspects
3.1 Introduction 26
3.2 One dimensional Cartesian Examples 26
3.3 Numerical Examples in One Dimension 28
3.4 Finite difference Approximations in Two or Three
Dimensions 30
3.5 Finite Differences in Radial Flow 32
3.6 Non standard Finite difference approximations 35
3.7 Curved Boundaries 37
3.8 Time variant Problems 39
3.9 Solution of Equations 43
3.10 Practical Resistance Network Solutions 49
vii
viii
PART II. SEEPAGE
Chapter 4 Steady state Seepage
4.1 Introduction 59
4.2 Equations of Seepage 60
4.3 Velocity Potential and Stream Function 65
4.4 Flow Nets 70
4.5 Numerical Grid Analysis 73
4.6 Finite difference Formulation 73
4.7 Solution of Confined flow Problems 77
4.8 Solution of Unconfined flow Problems 84
4.9 Radial Flow to a Well 91
4.10 Solution of a Series of Seepage Problems 97
i
Chapter 5 Time variant Seepage
5.1 Principles 106
5.2 Example of Falling Water Table 110
5.3 Rising Water Table 118
5.4 Dewatering of Excavations 119
5.5 Usefulness of Numerical Methods for Seepage Problems 125
PART III. ANALYSIS OF REGIONAL GROUNDWATER
FLOW I
Chapter 6 Regional Groundwater Flow
6.1 The Nature of Groundwater Flow 129
6.2 Data Requirements 130
6.3 Differential Equations 137
6.4 Steady state Example 138
Chapter 7 Time variant Flow—Analog Technique
7.1 Introduction 145
7.2 Theory 145
7.3 Fast time or Slow time Analogs 148
7.4 Design of Network 149
7.5 Measuring Devices 151
7.6 Initial Conditions 153
7.7 Apparatus for a Simple Network 156
7.8 Control by Minicomputer 159
7.9 Advantages of Technique 161
Chapter 8 Time variant Flow—Digital Computer Techniques
8.1 Introduction 162
8.2 Forward difference Formulation 165
ix
8.3 Backward difference Formulation 168
8.4 Alternating direction Implicit Formulation 171
8.5 Alternating direction Explicit Formulation 175
8.6 Modified Iterative Alternating direction Implicit
Procedure 178
8.7 Summary of Finite difference Techniques 179
8.8 Boundary Conditions 179
8.9 Initial Conditions 182
8.10 Mesh Design 184
Chapter 9 One dimensional Example and Special Techniques
9.1 One dimensional Problem 186
Solution on Resistance Capacitance Network.... 187
Forward difference Technique 191
Alternating direction Explicit Solution 194
Successive Over relaxation Solution 195
Backward difference Approximation using
Gaussian Elimination 197
9.2 Special Techniques 200
Change in Storage Coefficient 200
Variation in Transmissivity 202
Leaky Aquifers 202
Simulation of Wells 204
Partially Penetrating Rivers 207
Chapter 10 Case Studies of Regional Groundwater Flow
10.1 Introduction 210
10.2 Input Data 210
10.3 Mathematical Model 216
10.4 Initial Results and Sensitivity Analysis 218
10.5 Rapid Recharge 219
10.6 Dewatering of the Confined Region 224
10.7 Simulation of a Historic Drought 225
PART IV. NUMERICAL METHOD OF PUMPING TEST
ANALYSIS
Chapter 11 Pumping test Analysis using Numerical Models
11.1 Introduction 231
11.2 Derivation of Discrete Model 232
11.3 Numerical Solution 237
11.4 Standard Examples 245
11.5 Field Examples 249
11.6 Vertical Components of Flow 254
11.7 Delayed Yield 259
X
Chapter 12 Non linear Behaviour in Pumping test Analysis
12.1 Introduction 267
12.2 Non linear Well Losses 267
12.3 Parameters Varying with Depth 273
12.4 Single well Tests 279
12.5 Large Drawdowns Causing Dewatering 285
12.6 Conclusion 293
Appendix 1 Practical Details of Electrical Analogs 294
Appendix 2 Digital Computer Program for Regional Groundwater
Flow 298
Appendix 3 Digital Computer Program for CoiiflH^d Seepage 311
Appendix 4 Digital Computer Program for Untonflned Seepage 317
Appendix 5 Conversion Table to Metre Day System 324
References 326
Index 333
|
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| discipline | Geologie / Paläontologie Geographie |
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| id | DE-604.BV002247370 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:42:43Z |
| institution | BVB |
| isbn | 0471997544 |
| language | English |
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| owner_facet | DE-91 DE-BY-TUM DE-188 DE-83 |
| physical | XII, 339 S.: graph.Darst. |
| publishDate | 1979 |
| publishDateSearch | 1979 |
| publishDateSort | 1979 |
| publisher | Wiley |
| record_format | marc |
| series2 | Wiley series in geotechnical engineering. A Wiley-interscience publication. |
| spelling | Rushton, Kenneth R. Verfasser aut Seepage and groundwater flow Numerical analysis by analog and digital methods K. R. Rushton ; S. C. Redshaw* Chichester Wiley 1979 XII, 339 S.: graph.Darst. txt rdacontent n rdamedia nc rdacarrier Wiley series in geotechnical engineering. A Wiley-interscience publication. Eau souterraine - Écoulement - Informatique Eau souterraine - Écoulement - Modèles mathématiques Infiltration - Informatique Infiltration - Modèles mathématiques Datenverarbeitung Mathematisches Modell Groundwater flow Data processing Groundwater flow Mathematical models Seepage Data processing Seepage Mathematical models Grundwasser (DE-588)4022369-3 gnd rswk-swf Grundwasser (DE-588)4022369-3 s DE-604 Redshaw, S. C. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001476838&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rushton, Kenneth R. Redshaw, S. C. Seepage and groundwater flow Numerical analysis by analog and digital methods Eau souterraine - Écoulement - Informatique Eau souterraine - Écoulement - Modèles mathématiques Infiltration - Informatique Infiltration - Modèles mathématiques Datenverarbeitung Mathematisches Modell Groundwater flow Data processing Groundwater flow Mathematical models Seepage Data processing Seepage Mathematical models Grundwasser (DE-588)4022369-3 gnd |
| subject_GND | (DE-588)4022369-3 |
| title | Seepage and groundwater flow Numerical analysis by analog and digital methods |
| title_auth | Seepage and groundwater flow Numerical analysis by analog and digital methods |
| title_exact_search | Seepage and groundwater flow Numerical analysis by analog and digital methods |
| title_full | Seepage and groundwater flow Numerical analysis by analog and digital methods K. R. Rushton ; S. C. Redshaw* |
| title_fullStr | Seepage and groundwater flow Numerical analysis by analog and digital methods K. R. Rushton ; S. C. Redshaw* |
| title_full_unstemmed | Seepage and groundwater flow Numerical analysis by analog and digital methods K. R. Rushton ; S. C. Redshaw* |
| title_short | Seepage and groundwater flow |
| title_sort | seepage and groundwater flow numerical analysis by analog and digital methods |
| title_sub | Numerical analysis by analog and digital methods |
| topic | Eau souterraine - Écoulement - Informatique Eau souterraine - Écoulement - Modèles mathématiques Infiltration - Informatique Infiltration - Modèles mathématiques Datenverarbeitung Mathematisches Modell Groundwater flow Data processing Groundwater flow Mathematical models Seepage Data processing Seepage Mathematical models Grundwasser (DE-588)4022369-3 gnd |
| topic_facet | Eau souterraine - Écoulement - Informatique Eau souterraine - Écoulement - Modèles mathématiques Infiltration - Informatique Infiltration - Modèles mathématiques Datenverarbeitung Mathematisches Modell Groundwater flow Data processing Groundwater flow Mathematical models Seepage Data processing Seepage Mathematical models Grundwasser |
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