Transfer functions and solute movement through soil: theory and applications
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Basel ; Boston ; Berlin
Birkhäuser
1990
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 226 S. |
| ISBN: | 0817625097 |
Internformat
MARC
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| 245 | 1 | 0 | |a Transfer functions and solute movement through soil |b theory and applications |c William A. Jury ; Kurt Roth |
| 264 | 1 | |a Basel ; Boston ; Berlin |b Birkhäuser |c 1990 | |
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Datensatz im Suchindex
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| adam_text | Titel: Transfer functions and solute movement through soil
Autor: Jury, William Austin
Jahr: 1990
Contents
1 Introduction and Philosophy 15
2 The Solute Transfer Function for Transport through Soil 21
2.1 The Solute Transport Volume .................... 21
2.2 The Travel Time PDF......................... 24
Excursus: The Delta Function 6(t) and the Heaviside Func-
tion H(t) ............................ 25
2.3 Measurement of the Travel Time PDF ff(l, t) ........... 27
2.4 Measurement of the Travel Time CDF Pf(£,t)........... 28
Excursus: Properties of Probability Distributions ...... 28
2.5 Transfer Function Representation of Process Models........ 30
Example 2.1: The Piston Flow Model ............ 30
Example 2.2: The Convection-Dispersion Equation (CDE) . 31
Example 2.3: Travel Time Moments of the Piston Flow Model 34
Example 2.4: Travel Time Moments of the CDE ...... 34
2.6 Process Assumptions and Travel Time PDFs............ 35
2.7 Stochastic-Convective and Convective-Dispersive Models...... 42
3 Flux and Resident Concentrations 45
3.1 Types of Solute Concentration.................... 45
3.2 The Solute Conservation Equation.................. 46
Example 3.1: Resident Concentrations of the CDE ..... 47
Example 3.2: The Mobile-Immobile Water Model (MIM) . . 50
Example 3.3: Travel Time Moments of the MIM ...... 51
3.3 Flux and Resident PDFs....................... 53
3.4 Depth Moments of the Resident PDF................ 54
Example 3.4: Depth Moments of the CDE.......... 55
3.5 Resident PDF of the Stochastic-Convective Model......... 56
Contents
Example 3.5: Depth Moments of the Stochastic-Convective
Model.............................. 57
3.6 The Initial Value Problem ...................... 58
3.6.1 The Initial Value Problem in Infinite Soil........... 58
Example 3.6: The Resident PDF of the CDE in Infinite Soil 58
3.6.2 The Initial Value Problem of the Semi-Infinite CDE Model . 59
3.6.3 The Initial Value Problem of the Stochastic-Convective Model 59
Stochastic Stream Tube Modeling 63
Example 4.1: Piston Flow Through Parallel Soil Columns . 64
Example 4.2: The Random Water Content Model...... 65
4.1 Solute Transport and Adsorption................... 66
4.2 Linear Equilibrium Adsorption.................... 66
Example 4.3: Linear Adsorption and the CDE........ 67
4.3 Rate Limited Adsorption....................... 68
Example 4.4: Rate Limited Adsorption and the CDE .... 68
4.4 Spatial Variability and Equilibrium Adsorption........... 70
Example 4.5: Spatial Variability of Pesticide Adsorption . . 72
4.5 Moments of Stream Tube Models................... 73
Example 4.6: Moments of the Parallel Soil Column Model . 74
4.6 Stream Tube Modeling and Variability Analysis .......... 75
Example 4.7: Solute Transport Under Spatially Variable Ir-
rigation ............................. 75
4.7 Resident PDFs of Stream Tube Models............... 75
Example 4.8: Solute Movement in a Lognormal Velocity Field 77
4.8 Solute Transport with first order Decay............... 77
4.9 Simultaneous Transport, Adsorption, and first order Decay .... 79
4.9.1 Estimation of the Mean Residual Mass Fraction (RMF) ... 79
Example 4.9: Spatial Variability and Pesticide Ground Water
Pollution Potential....................... 80
4.9.2 Estimation of the Variance of the RMF............ 82
Transfer Functions for Vertically Heterogeneous Soils 85
5.1 Depth-Dependent Water Content................... 85
Example 5.1: Steady State Convective-Dispersive Flow in
Heterogeneous Soil....................... 86
5.2 Solute Transport in Layered Soils .................. 88
Excursus: Sums and Products of Random Variables..... 89
5.2.1 Independent Soil Layers .................... 91
Contents 3
5.2.2 Perfectly Correlated Soil Layers................ 91
Example 5.3: The Zero-Correlation Convective-Dispersive
Model.............................. 93
Example 5.4: The Perfect Correlation Stochastic-Convective
Model.............................. 94
5.3 Flux PDFs in Layered Soils...................... 94
5.4 Convective-Dispersive Resident PDFs for Layered Soil....... 95
5.5 Stochastic-Convective Resident PDFs for Layered Soil....... 99
5.6 Solute Transport Under Depth-Dependent Adsorption....... 101
Example 5.5: Depth-Dependent Adsorption ......... 101
6 Practical Field Application of the Transfer Function Approach
in Unsaturated Soil 105
6.1 A Transient Transfer Function Model................ 106
6.1.1 The Unique Drainage PDF................... 107
6.1.2 Stochastic-Convective Flow................... 108
6.1.3 Transient Convolution Integral................. 108
6.1.4 Adjustment for Transient Water Flow............. 109
6.2 Water Balance Model......................... Ill
6.3 Stochastic Simulation of Transient Water Flow........... 112
Example 6.1: Climatic Variability and Pesticide Leaching . 115
6.4 Scaling Theory............................. 116
6.4.1 Transport Models Based on Scaling Theory.......... 117
Example 6.2: The Scaling Model of Bresler and Dagan ... 118
6.4.2 Tests of Scaling Theory..................... 120
7 Stochastic Continuum Modeling 123
7.1 The N Layer Travel Time PDF.................... 123
Example 7.1: Multivariate Normally Distributed Travel
Times .............................. 124
Excursus: Random Functions and Stochastic Processes ... 126
7.2 Travel Time Representation in Terms of Solute Velocity...... 130
7.3 Homogeneous Stochastic Medium .................. 131
Excursus: Arbitrary Input Function ............. 131
7.4 Numerical Simulation of Transport Through a Stochastic Medium 140
7.4.1 Homogeneous Soil........................ 141
7.4.2 Horizontally Inhomogeneous Soil................ 142
Example 7.2: Double Porous Medium without Horizontal
Dispersion............................ 144
4 Contents
A Integral Transforms 151
A.I The Laplace Transform........................ 151
Example A.I: Analytic Evaluation of Laplace Transforms . 152
A. 1.1 Transforms of Derivatives and Integrals............ 152
A. 1.2 Transformed Solution of Differential Equations........ 154
Example A.2: Laplace Transform Solution of the Damped
Harmonic Oscillator ...................... 154
Example A.3: Laplace Transform Solution of the Heat Equa-
tion ............................... 155
A. 1.3 Inverse Laplace Transformation................ 156
Example A.4: Inversion of the Transform of the Flux PDF of
the CDE ............................ 157
Example A.5: Inversion of the Transform of the Flux CDF of
the CDE ............................ 158
Example A.6: Inversion of the Flux PDF of the CDE Under
Rate Limited Adsorption ................... 159
A.2 The Fourier Transform........................ 160
Example A.7: Fourier Transform of the Exponential Covari-
ance Function.......................... 160
Example A.8: Inversion of the Fourier Transform of the Res-
ident PDF of the CDE in Infinite Soil ............ 161
B Useful Fortran Computer Programs 163
B.I Numerical Inversion of Laplace Transforms............. 163
B.2 Error Function Evaluation ...................... 165
C Table of Laplace Transforms 169
D Solutions to Problems 173
D.I Problems in Chapter 1 ........................ 173
D.2 Problems in Chapter 2 ........................ 175
D.3 Problems in Chapter 3 ........................ 180
D.4 Problems in Chapter 4 ........................ 189
D.5 Problems in Chapter 5 ........................ 195
D.6 Problems in Chapter 6 ........................ 201
D.7 Problems in Chapter 7 ........................ 207
|
| any_adam_object | 1 |
| author | Jury, William A. Roth, Kurt |
| author_facet | Jury, William A. Roth, Kurt |
| author_role | aut aut |
| author_sort | Jury, William A. |
| author_variant | w a j wa waj k r kr |
| building | Verbundindex |
| bvnumber | BV004133721 |
| callnumber-first | S - Agriculture |
| callnumber-label | S592 |
| callnumber-raw | S592.3 |
| callnumber-search | S592.3 |
| callnumber-sort | S 3592.3 |
| callnumber-subject | S - General Agriculture |
| classification_rvk | RB 10160 |
| classification_tum | GEO 370f GEO 315f GEO 325f |
| ctrlnum | (OCoLC)22421303 (DE-599)BVBBV004133721 |
| dewey-full | 631.4/3 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 631 - Techniques, equipment & materials |
| dewey-raw | 631.4/3 |
| dewey-search | 631.4/3 |
| dewey-sort | 3631.4 13 |
| dewey-tens | 630 - Agriculture and related technologies |
| discipline | Geowissenschaften Agrar-/Forst-/Ernährungs-/Haushaltswissenschaft / Gartenbau Geographie |
| format | Book |
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| id | DE-604.BV004133721 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:08:53Z |
| institution | BVB |
| isbn | 0817625097 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002579350 |
| oclc_num | 22421303 |
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| owner_facet | DE-91 DE-BY-TUM DE-12 DE-703 DE-29 DE-M490 DE-83 DE-11 DE-188 |
| physical | 226 S. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | Birkhäuser |
| record_format | marc |
| spelling | Jury, William A. Verfasser aut Transfer functions and solute movement through soil theory and applications William A. Jury ; Kurt Roth Basel ; Boston ; Berlin Birkhäuser 1990 226 S. txt rdacontent n rdamedia nc rdacarrier Sols - Transfert des solutés Soils Solute movement Bodenlösung (DE-588)4247723-2 gnd rswk-swf Stofftransport Biologie (DE-588)4443397-9 gnd rswk-swf Transport (DE-588)4060680-6 gnd rswk-swf Boden (DE-588)4007348-8 gnd rswk-swf Transportprozess (DE-588)4185932-7 gnd rswk-swf Gelöster Stoff (DE-588)4156462-5 gnd rswk-swf Schadstofftransport (DE-588)4296576-7 gnd rswk-swf Bodenlösung (DE-588)4247723-2 s Stofftransport Biologie (DE-588)4443397-9 s DE-604 Gelöster Stoff (DE-588)4156462-5 s Transport (DE-588)4060680-6 s Boden (DE-588)4007348-8 s Schadstofftransport (DE-588)4296576-7 s Transportprozess (DE-588)4185932-7 s DE-188 Roth, Kurt Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002579350&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jury, William A. Roth, Kurt Transfer functions and solute movement through soil theory and applications Sols - Transfert des solutés Soils Solute movement Bodenlösung (DE-588)4247723-2 gnd Stofftransport Biologie (DE-588)4443397-9 gnd Transport (DE-588)4060680-6 gnd Boden (DE-588)4007348-8 gnd Transportprozess (DE-588)4185932-7 gnd Gelöster Stoff (DE-588)4156462-5 gnd Schadstofftransport (DE-588)4296576-7 gnd |
| subject_GND | (DE-588)4247723-2 (DE-588)4443397-9 (DE-588)4060680-6 (DE-588)4007348-8 (DE-588)4185932-7 (DE-588)4156462-5 (DE-588)4296576-7 |
| title | Transfer functions and solute movement through soil theory and applications |
| title_auth | Transfer functions and solute movement through soil theory and applications |
| title_exact_search | Transfer functions and solute movement through soil theory and applications |
| title_full | Transfer functions and solute movement through soil theory and applications William A. Jury ; Kurt Roth |
| title_fullStr | Transfer functions and solute movement through soil theory and applications William A. Jury ; Kurt Roth |
| title_full_unstemmed | Transfer functions and solute movement through soil theory and applications William A. Jury ; Kurt Roth |
| title_short | Transfer functions and solute movement through soil |
| title_sort | transfer functions and solute movement through soil theory and applications |
| title_sub | theory and applications |
| topic | Sols - Transfert des solutés Soils Solute movement Bodenlösung (DE-588)4247723-2 gnd Stofftransport Biologie (DE-588)4443397-9 gnd Transport (DE-588)4060680-6 gnd Boden (DE-588)4007348-8 gnd Transportprozess (DE-588)4185932-7 gnd Gelöster Stoff (DE-588)4156462-5 gnd Schadstofftransport (DE-588)4296576-7 gnd |
| topic_facet | Sols - Transfert des solutés Soils Solute movement Bodenlösung Stofftransport Biologie Transport Boden Transportprozess Gelöster Stoff Schadstofftransport |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002579350&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT jurywilliama transferfunctionsandsolutemovementthroughsoiltheoryandapplications AT rothkurt transferfunctionsandsolutemovementthroughsoiltheoryandapplications |