Transport modeling in hydrogeochemical systems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
2001
|
| Series: | Interdisciplinary applied mathematics
15 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 211 - 219 |
| Physical Description: | xiii, 223 Seiten Diagramme |
| ISBN: | 0387952764 9781441929327 |
Staff View
MARC
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| 100 | 1 | |a Logan, J. David |d 1944- |e Verfasser |0 (DE-588)120361000 |4 aut | |
| 245 | 1 | 0 | |a Transport modeling in hydrogeochemical systems |c J. David Logan |
| 264 | 1 | |a New York [u.a.] |b Springer |c 2001 | |
| 300 | |a xiii, 223 Seiten |b Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Interdisciplinary applied mathematics |v 15 | |
| 490 | 0 | |a Geophysics and planetary sciences | |
| 500 | |a Literaturverz. S. 211 - 219 | ||
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Record in the Search Index
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CONTENTS
PREFACE
VII
1
THE
DIFFUSION
EQUATION
1
1.1
THE
DIFFUSION
EQUATION
.
1
1.2
SEMI-INFINITE
DOMAINS
.
8
1.2.1
BOUNDARY
VALUE
PROBLEMS
.
8
1.2.2
AN
INVERSE
PROBLEM
.
12
1.3
SOURCES
AND
DUHAMEL
'
S
PRINCIPLE
.
13
1.4
BOUNDED
DOMAINS
.
16
1.5
THE
MAXIMUM
PRINCIPLE
.
19
1.5.1
MAXIMUM
AND
MINIMUM
PRINCIPLES
.
19
1.5.2
COMPARISON
AND
UNIQUENESS
.
25
1.6
REFERENCE
NOTES
.
27
2
REACTION-ADVECTION-DISPERSION
EQUATION
29
2.1
MASS
BALANCE
.
30
2.2
SEVERAL
DIMENSIONS
.
35
2.3
ADSORPTION
KINETICS
.
37
2.3.1
INSTANTANEOUS
KINETICS
.
38
2.3.2
NONINSTANTANEOUS
KINETICS
.
40
2.3.3
MULITPLE-SITE
KINETICS
.
41
2.4
DIMENSIONLESS
EQUATIONS
.
43
2.5
NONLINEAR
EQUATIONS
.
44
2.5.1
A
COMPARISON
PRINCIPLE
.
45
2.5.2
SIMILARITY
SOLUTIONS
.
48
2.5.3
BLOWUP
OF
SOLUTIONS
.
50
2.5.4
STABILITY
OF
THE
ZERO
SOLUTION
.
52
2.6
THE
REACTION-ADVECTION
EQUATION
.
54
2.6.1
SEMILINEAR
EQUATIONS
.
54
2.6.2
QUASILINEAR
EQUATIONS
.
56
2.7
EXAMPLES
.
58
2.7.1
ADVECTION-DISPERSION
EQUATION
.
58
2.7.2
BOUNDARY
CONDITIONS
.
60
2.7.3
A
PERTURBATION
PROBLEM
.
62
XII
CONTENTS
2.7.4
RADIAL
DISPERSION
.
65
2.7.5
FRACTURED
MEDIA
.
68
2.8
REFERENCE
NOTES
.
73
3
TRAVELING
WAVE
SOLUTIONS
75
3.1
EXAMPLES
OF
TRAVELING
WAVES
.
75
3.2
HYDROGEOLOGICAL
MODELS
.
83
3.2.1
THE
EQUILIBRIUM
MODEL
.
83
3.2.2
THE
NONEQUILIBRIUM
MODEL
.
86
3.2.3 A
NONLINEAR
ADVECTION
MODEL
.
87
3.3
DISCONTINUOUS
WAVE
FRONTS
.
89
3.3.1
SMOOTH
WAVE
FRONTS
.
91
3.3.2
SUPERCRITICAL
WAVES
.
93
3.3.3
LANGMUIR
KINETICS
.
95
3.3.4
CONVERGENCE
TO
TRAVELING
WAVES
.
97
3.4
STABILITY
OF
TRAVELING
WAVES
.
98
3.4.1
GENERAL
IDEAS
.
98
3.4.2
/^-STABILITY
OF
TRAVELING
WAVES
.
103
3.5
A
BIOREMEDIATION
MODEL
.
107
3.6
REFERENCE
NOTES
.
ILL
4
FILTRATION
MODELS
113
4.1
MODELS
FOR
COLLOID
TRANSPORT
.
114
4.1.1
THE
HERZIG-LECLERC-LEGOFF
MODEL
.
114
4.1.2
SMALL
DISPERSION
.
116
4.1.3
VARIABLE
RATE
LAW
.
118
4.1.4
CLASSICAL
FILTRATION
THEORY
.
120
4.2
AN
ATTACHMENT-DETACHMENT
MODEL
.
121
4.2.1
THE
MODEL
.
121
4.2.2
TRAVELING
WAVES
.
122
4.2.3
CONTAMINATION
AND
REMEDIATION
WAVES
.
124
4.2.4
BOUNDED
DOMAINS
.
129
4.3
REFERENCE
NOTES
.
133
5
SUBSURFACE
FLOW
DYNAMICS
135
5.1
DARCY
'
S
LAW
.
135
5.1.1
KINEMATICAL
FLOW
RELATIONS
.
136
5.1.2
DARCY
'
S
LAW
IN
ONE
DIMENSION
.
138
5.1.3
DARCY
'
S
LAW
IN
HIGHER
DIMENSIONS
.
139
5.2
MODELS
OF
GROUNDWATER
FLOW
.
144
5.2.1
THE
GOVERNING
EQUATIONS
.
144
5.2.2
BOUNDARY
CONDITIONS
AND
FREE
SURFACES
.
145
5.2.3
THE
DUPUIS
HYPOTHESIS
.
148
5.3
TRANSIENT
FLOWS
.
152
CONTENTS
XIII
5.3.1
THE
DIFFUSION
EQUATION
.
152
5.3.2
UNSATURATED
MEDIA
.
155
5.3.3
THE
PRESENCE
OF
SOLUTES
.
158
5.3.4
THERMAL
CHANGES
.
159
5.4
REFERENCE
NOTES
.
161
6
TRANSPORT
AND
REACTIONS
IN
ROCKS
163
6.1
REACTION
FRONTS
.
164
6.1.1
A
REDOX
FRONT
.
164
6.1.2
UPSTREAM
FRONTS
.
165
6.2
POROSITY-MINERALOGY
CHANGES,
I
.
169
6.2.1
DISPERSIVE
REACTION
FRONTS
.
171
6.2.2
PURE
ADVECTION
FRONTS
.
173
6.3
POROSITY-MINERALOGY
CHANGES,
II
.
174
6.3.1
THE
MODEL
EQUATIONS
.
175
6.3.2
DIMENSIONLESS
EQUATIONS
.
179
6.3.3
PRESSURE-DRIVEN
FLOW
.
181
6.3.4
VELOCITY-DRIVEN
FLOW
.
181
6.3.5
NUMERICAL
RESULTS
.
183
6.4
GENERAL
EQUATIONS
OF
REACTION
AND
FLOW
.
184
6.4.1
MINERAL-POROSITY
CHANGES
.
186
6.4.2
SOLUTE
CHANGES
.
187
6.4.3
REACTION
KINETICS
.
187
6.5
REFERENCE
NOTES
.
189
A
THE
FINITE-DIFFERENCE
METHOD
193
B
THE
METHOD
OF
LINES
201
C
NUMERICAL
INVERSION
OF
TRANSFORMS
205
D
NOTATION
AND
SYMBOLS
209
REFERENCES
211
INDEX
221 |
| any_adam_object | 1 |
| author | Logan, J. David 1944- |
| author_GND | (DE-588)120361000 |
| author_facet | Logan, J. David 1944- |
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| building | Verbundindex |
| bvnumber | BV014050512 |
| callnumber-first | G - Geography, Anthropology, Recreation |
| callnumber-label | GB1001 |
| callnumber-raw | GB1001.72.M35 |
| callnumber-search | GB1001.72.M35 |
| callnumber-sort | GB 41001.72 M35 |
| callnumber-subject | GB - Physical Geography |
| classification_rvk | RB 10103 SK 950 TI 8100 |
| ctrlnum | (OCoLC)248544396 (DE-599)BVBBV014050512 |
| dewey-full | 551.49/01/13 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 551 - Geology, hydrology, meteorology |
| dewey-raw | 551.49/01/13 |
| dewey-search | 551.49/01/13 |
| dewey-sort | 3551.49 11 213 |
| dewey-tens | 550 - Earth sciences |
| discipline | Geologie / Paläontologie Mathematik Geographie |
| format | Book |
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| id | DE-604.BV014050512 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-23T00:41:54Z |
| institution | BVB |
| isbn | 0387952764 9781441929327 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009622038 |
| oclc_num | 248544396 |
| open_access_boolean | |
| owner | DE-703 DE-29T DE-634 DE-83 DE-384 DE-188 DE-945 |
| owner_facet | DE-703 DE-29T DE-634 DE-83 DE-384 DE-188 DE-945 |
| physical | xiii, 223 Seiten Diagramme |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Springer |
| record_format | marc |
| series | Interdisciplinary applied mathematics |
| series2 | Interdisciplinary applied mathematics Geophysics and planetary sciences |
| spelling | Logan, J. David 1944- Verfasser (DE-588)120361000 aut Transport modeling in hydrogeochemical systems J. David Logan New York [u.a.] Springer 2001 xiii, 223 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Interdisciplinary applied mathematics 15 Geophysics and planetary sciences Literaturverz. S. 211 - 219 Stoffübertragung (DE-588)4057696-6 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Hydrogeochemie (DE-588)4225478-4 gnd rswk-swf Hydrogeochemie (DE-588)4225478-4 s Stoffübertragung (DE-588)4057696-6 s Partielle Differentialgleichung (DE-588)4044779-0 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Interdisciplinary applied mathematics 15 (DE-604)BV004216726 15 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009622038&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Logan, J. David 1944- Transport modeling in hydrogeochemical systems Interdisciplinary applied mathematics Stoffübertragung (DE-588)4057696-6 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Mathematisches Modell (DE-588)4114528-8 gnd Hydrogeochemie (DE-588)4225478-4 gnd |
| subject_GND | (DE-588)4057696-6 (DE-588)4044779-0 (DE-588)4114528-8 (DE-588)4225478-4 |
| title | Transport modeling in hydrogeochemical systems |
| title_auth | Transport modeling in hydrogeochemical systems |
| title_exact_search | Transport modeling in hydrogeochemical systems |
| title_full | Transport modeling in hydrogeochemical systems J. David Logan |
| title_fullStr | Transport modeling in hydrogeochemical systems J. David Logan |
| title_full_unstemmed | Transport modeling in hydrogeochemical systems J. David Logan |
| title_short | Transport modeling in hydrogeochemical systems |
| title_sort | transport modeling in hydrogeochemical systems |
| topic | Stoffübertragung (DE-588)4057696-6 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Mathematisches Modell (DE-588)4114528-8 gnd Hydrogeochemie (DE-588)4225478-4 gnd |
| topic_facet | Stoffübertragung Partielle Differentialgleichung Mathematisches Modell Hydrogeochemie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009622038&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004216726 |
| work_keys_str_mv | AT loganjdavid transportmodelinginhydrogeochemicalsystems |