Physical principles of flow in unsaturated porous media:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York, NY
Oxford Univ. Press u.a.
1994
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| Series: | Oxford monographs on geology and geophysics
26 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 372 S. graph. Darst. |
| ISBN: | 0195046226 |
Staff View
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Record in the Search Index
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| adam_text | CONTENTS
INTRODUCTION xi
1 OVERVIEW OF UNSATURATED FLOW
PHENOMENOLOGY 3
1.1 Matric Potential.......................... 3
1.2 Equilibrium Thermodynamics................... 6
1.3 Nonequilibrium Thermodynamics................. 9
1.4 Darcy s Law (Simple Form).................... 9
1.5 Equations of Continuity and Motion............... 10
1.6 Vapor Transport.......................... 13
2 PHYSICAL BASIS OF THE MATRIC POTENTIAL 17
2.1 Basic Phenomenology of the Matric Potential.......... 17
2.2 Pressure Difference Across an Interface.............. 18
2.3 Curvature in the Plane....................... 20
2.4 Differential Geometry and Curvature............... 24
2.5 Shape of an Interface........................ 28
2.6 Interface a Surface of Revolution................. 30
2.7 Vapor Pressure over Curved Surfaces............... 37
2.8 Poiseuille s Law and Capillarity.................. 40
3 EQUILIBRIUM THERMODYNAMICS AND
STATISTICAL MECHANICS 53
3.1 Equilibrium Thermodynamics................... 53
3.1.1 Combined First and Second Laws of Thermodynamics .... 53
3.1.2 Legendre Transforms and Thermodynamic Potentials .... 58
3.1.3 Maxwell Relations........................ 62
3.1.4 Gibbs-Duhem Relation ..................... 65
3.1.5 Equilibrium of a Thermodynamic System........... 66
3.2 Applications of Thermodynamics................. 68
3.2.1 Thermodynamic Properties of Liquid Water.......... 68
3.2.2 Impurity Concentration at a Liquid Surface.......... 74
3.2.3 Matric Potential at Constant Temperature.......... 75
3.3 Dilute Solutions in Porous Media................. 77
3.3.1 Equilibrium Chemistry of Dilute Solutions .......... 77
3.3.2 Pressure Dependence of Solution Concentration........ 82
vm
CONTENTS
3.4 Equilibrium Statistical Mechanics............... 83
3.5 Chemical Equilibrium in a Soil Column........... 94
3.6 Selected Aspects of Electrochemistry............. 96
3.6.1 Debye-Hiickel Theory................. 98
3.6.2 Electro-Osmosis .................... 106
3.6.3 Streaming Potential.................. 108
VAPOR TRANSPORT IN A POROUS MEDIUM 112
4.1 Porous Medium Clapeyron Equation............. 112
4.2 Vapor Transport in Capillaries................ 117
4.2.1 Introduction to the Kinetic Theory of Gases..... 117
4.2.2 Vapor Transport in Large-Radius Capillaries .... 131
4.2.3 Vapor Transport in Medium-Radius Capillaries . . . 135
4.2.4 Molecular Effusion................... 139
4.2.5 Vapor Transport in Medium-Length Capillaries . . . 140
4.2.6 Vapor Transport in a Bundle of Capillaries..... 140
4.3 Binary Molecular Diffusion .................. 141
4.4 Macroscopic Vapor Transport................. 148
4.5 Phase Barrier Theory ..................... 153
4.6 Capillary Hysteresis ...................... 155
MULTISPECIES TRANSPORT IN UNSATURATED
DEFORMABLE POROUS MEDIA 160
5.1 Introduction........................... 160
5.2 Single-Species Equations of Motion.............. 162
5.2.1 Elastic Medium Equation of Motion......... 162
5.2.2 Equation of Motion for a Viscous Fluid ....... 178
5.3 Viscoelasticity via Fractional Calculus............ 180
5.4 Equations of Continuity.................... 187
5.5 Multispecies Equations of Motion............... 191
5.6 Energy Equations........................ 194
5.7 Multispecies Thermodynamics................. 196
NONEQUILIBRIUM THERMODYNAMICS 202
6.1 Introduction........................... 202
6.2 Generalized Fluxes in Unsaturated Flow........... 205
6.3 Phenomenological Coefficients................. 207
6.4 Coupling of Moisture, Heat, Impurities.......... 209
CONTENTS ix
MEASUREMENT TECHNIQUES 212
7.1 Introduction........................... 212
7.2 Measurement of Matric Potential............... 212
7.2.1 The Tensiometer.................... 212
7.2.2 Pressure Plate Apparatus............... 215
7.2.3 Vacuum Oven Techniques............... 217
7.2.4 Thermocouple Psychrometers............. 219
7.3 Moisture Content of Soils................... 227
7.3.1 General Discussion................... 227
7.3.2 Neutron Moisture Gauge ............... 228
7.3.3 Neutron Detectors................... 243
7.4 Bulk Density of Soils...................... 244
7.4.1 General Discussion................... 244
7.4.2 Gamma-Gamma Density Probe............ 245
7.4.3 Combined Density-Saturation Gauge......... 248
7.5 Aspects of Radiation Safety.................. 248
7.6 Characterization of Pore Structure.............. 257
7.6.1 General Discussion................... 257
7.6.2 Nuclear Magnetic Resonance............. 258
7.7 Unsaturated Hydraulic Conductivity............. 262
7.8 Mercury Injection Porosimetry................ 264
7.9 Centrifugation ......................... 271
STATISTICAL TREATMENT OF DATA 277
8.1 Introduction........................... 277
8.2 Populations and Samples ................... 278
8.3 Nonparametric Statistics.................... 278
8.3.1 Mann-Whitney Test of Ordinal Data......... 278
8.3.2 Runs Test for Ordinal Data.............. 284
8.4 Permutations and Combinations ............... 287
8.4.1 Permutations...................... 287
8.4.2 Combinations...................... 288
8.5 Probability ........................... 288
8.5.1 Addition Rule of Probability............. 293
8.5.2 Conditional Probability; Multiplication Rule .... 293
8.5.3 Bayes s Theorem.................... 295
8.6 Discrete Probability Density Functions............ 296
8.6.1 Binomial Distribution................. 299
8.6.2 Multinomial Distribution ............... 305
8.7 Continuous Probability Densities............... 303
8.7.1 Gaussian Distribution................. 303
8.7.2 x2 Distribution..................... 310
CONTENTS
8.7.3 Student s t Distribution................ 311
8.7.4 F Distribution..................... 312
8.8 Parameter Estimation..................... 313
8.8.1 Central Limit Theorem................ 313
8.8.2 x2 Distribution..................... 315
8.8.3 t Distribution...................... 322
8.8.4 F Distribution..................... 324
8.9 Extreme Values......................... 326
8.10 Regression and Correlation.................. 329
8.10.1 Regression........................ 329
8.10.2 Correlation....................... 332
APPENDIX A 338
APPENDIX B 347
APPENDIX C 354
APPENDIX D 355
INDEX 369
|
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| indexdate | 2024-07-09T17:39:09Z |
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| isbn | 0195046226 |
| language | English |
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| physical | XIII, 372 S. graph. Darst. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Oxford Univ. Press u.a. |
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| series | Oxford monographs on geology and geophysics |
| series2 | Oxford monographs on geology and geophysics |
| spelling | Case, Clinton M. Verfasser aut Physical principles of flow in unsaturated porous media Clinton M. Case New York, NY Oxford Univ. Press u.a. 1994 XIII, 372 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Oxford monographs on geology and geophysics 26 Hidrogeologia larpcal Termodinamica larpcal Groundwater flow Grundwasserstrom (DE-588)4121396-8 gnd rswk-swf Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Grundwasserstrom (DE-588)4121396-8 s Mathematische Methode (DE-588)4155620-3 s DE-604 Oxford monographs on geology and geophysics 26 (DE-604)BV000017932 26 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006404202&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Case, Clinton M. Physical principles of flow in unsaturated porous media Oxford monographs on geology and geophysics Hidrogeologia larpcal Termodinamica larpcal Groundwater flow Grundwasserstrom (DE-588)4121396-8 gnd Mathematische Methode (DE-588)4155620-3 gnd |
| subject_GND | (DE-588)4121396-8 (DE-588)4155620-3 |
| title | Physical principles of flow in unsaturated porous media |
| title_auth | Physical principles of flow in unsaturated porous media |
| title_exact_search | Physical principles of flow in unsaturated porous media |
| title_full | Physical principles of flow in unsaturated porous media Clinton M. Case |
| title_fullStr | Physical principles of flow in unsaturated porous media Clinton M. Case |
| title_full_unstemmed | Physical principles of flow in unsaturated porous media Clinton M. Case |
| title_short | Physical principles of flow in unsaturated porous media |
| title_sort | physical principles of flow in unsaturated porous media |
| topic | Hidrogeologia larpcal Termodinamica larpcal Groundwater flow Grundwasserstrom (DE-588)4121396-8 gnd Mathematische Methode (DE-588)4155620-3 gnd |
| topic_facet | Hidrogeologia Termodinamica Groundwater flow Grundwasserstrom Mathematische Methode |
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