Fundamentals of computational geoscience: numerical methods and algorithms
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2009
|
| Schriftenreihe: | Lecture notes in earth sciences
122 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVI, 241 S. Ill., graph. Darst. |
| ISBN: | 9783540897422 9783540897439 |
Internformat
MARC
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| 100 | 1 | |a Zhao, Chongbin |e Verfasser |0 (DE-588)1058601199 |4 aut | |
| 245 | 1 | 0 | |a Fundamentals of computational geoscience |b numerical methods and algorithms |c Chongbin Zhao ; Bruce E. Hobbs ; Alison Ord |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2009 | |
| 300 | |a XVI, 241 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in earth sciences |v 122 | |
| 650 | 4 | |a Geowissenschaften - Numerisches Verfahren | |
| 650 | 4 | |a Datenverarbeitung | |
| 650 | 4 | |a Geologie | |
| 650 | 4 | |a Geology |x Computer simulation | |
| 650 | 4 | |a Geology |x Data processing | |
| 650 | 0 | 7 | |a Geowissenschaften |0 (DE-588)4020288-4 |2 gnd |9 rswk-swf |
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| 700 | 1 | |a Hobbs, Bruce E. |d 1936- |e Verfasser |0 (DE-588)136110517 |4 aut | |
| 700 | 1 | |a Ord, Alison |e Verfasser |4 aut | |
| 830 | 0 | |a Lecture notes in earth sciences |v 122 |w (DE-604)BV023550940 |9 122 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-017188135 | ||
Datensatz im Suchindex
| _version_ | 1804138714618658816 |
|---|---|
| adam_text | Contents
1
Introduction
.................................................... 1
1.1 Characteristics
of Computational Geoscience
.................... 2
1.2
Basic Steps Associated with the Research Methodology
of Computational Geoscience
................................. 3
1.2.1
The Conceptual Model of a Geoscience Problem
........... 3
1.2.2
The Mathematical Model of a Geoscience Problem
......... 3
1.2.3
The Numerical Simulation Model of a Geoscience Problem
.. 4
1.2.4
Graphical Display of the Numerical Simulation Results
..... 5
1.3
The Contextual Arrangements of this Monograph
................. 5
2
A Progressive Asymptotic Approach Procedure for Simulating
Steady-State Natural
Convettive
Problems in Fluid-Saturated
Porous Media
................................................... 7
2.1
Governing Equations of the Problem
............................ 9
2.2
Finite Element Formulation of the Problem
...................... 11
2.3
The Progressive Asymptotic Approach Procedure
for Solving Steady-State Natural Convection Problems
in Fluid-Saturated Porous Media
............................... 14
2.4
Derivation of Analytical Solution to a Benchmark Problem
......... 16
2.5
Verification of the Proposed Progressive Asymptotic Approach
Procedure Associated with Finite Element Analysis
............... 19
2.6
Application of the Progressive Asymptotic Approach Procedure
Associated with Finite Element Analysis
........................ 22
2.6.1
Two-Dimensional Convective Pore-Fluid Flow Problems
___ 22
2.6.2
Three-Dimensional Convective Pore-Fluid Flow Problems
... 28
3
A Consistent Point-Searching Interpolation Algorithm for
Simulating Coupled Problems between Deformation, Pore-Fluid
Flow, Heat Transfer and Mass Transport Processes in Hydrothemal
Systems
........................................................ 37
3.1
Statement of the Coupled Problem and Solution Method
........... 38
3.2
Mathematical Formulation of the Consistent Point-Searching
Interpolation Algorithm in Unstructured Meshes
................. 42
Contents
3.2.1
Point Searching Step
.................................. 43
3.2.2
Inverse Mapping Step
.................................. 45
3.2.3
Consistent Interpolation Step
........................... 50
3.3
Verification of the Proposed Consistent Point-Searching
Interpolation Algorithm
...................................... 51
3.4
Application Examples of the Proposed Consistent Point-Searching
Interpolation Algorithm
...................................... 56
3.4.1
Numerical Modelling of Coupled Problems Involving
Deformation, Pore-Fluid Flow and Heat Transfer
in Fluid-Saturated Porous Media
........................ 56
3.4.2
Numerical Modelling of Coupled Problems Involving
Deformation, Pore-Fluid Flow, Heat Transfer and Mass
Transport in Fluid-Saturated Porous Media
............... 59
A Term Splitting Algorithm for Simulating Fluid-Rock Interaction
Problems in Fluid-Saturated
Hydrothermal
Systems of
Subcriticai
Zhao Numbers
.................................................. 73
4.1
Key Issues Associated with the Numerical Modelling of Fluid-Rock
Interaction Problems
......................................... 76
4.2
Development of the Term Splitting Algorithm
.................... 77
4.3
Application Examples of the Term Splitting Algorithm
............ 82
A Segregated Algorithm for Simulating Chemical Dissolution Front
Instabilities in Fluid-Saturated Porous Rocks
....................... 95
5.1
Mathematical Background of Chemical Dissolution Front
Instability Problems in Fluid-Saturated Porous Rocks
............. 96
5.1.1
A General Case of Reactive Multi-Chemical-Species
Transport with Consideration of Porosity/Permeability
Feedback
........................................... 96
5.1.2
A Particular Case of Reactive Single-Chemical-Species
Transport with Consideration of Porosity/Permeability
Feedack
............................................. 99
5.2
Proposed Segregated Algorithm for Simulating the Morphological
Evolution of a Chemical Dissolution Front
......................109
5.2.1
Formulation of the Segregated Algorithm for Simulating
the Evolution of Chemical Dissolution Fronts
............. 109
5.2.2
Verification of the Segregated Algorithm for Simulating
the Evolution of Chemical Dissolution Fronts
.............
Ill
5.3
Application of the Segregated Algorithm for Simulating
the Morphological Evolution of Chemical Dissolution Fronts
.......115
Contents xiii
6
A Decoupling Procedure for Simulating Fluid Mixing, Heat Transfer
and Non-Equilibrium
Redox
Chemical Reactions in Fluid-Saturated
Porous Rocks
...................................................121
6.1
Statement of Coupled Problems between Fluids Mixing, Heat
Transfer and
Redox
Chemical Reactions
........................123
6.2
A Decoupling Procedure for Removing the Coupling between
Reactive Transport Equations of
Redox
Chemical Reactions
........126
6.3
Verification of the Decoupling Procedure
........................128
6.4
Applications of the Proposed Decoupling Procedure to Predict
Mineral Precipitation Patterns in a Focusing and Mixing System
Involving Two Reactive Fluids
................................134
6.4.1
Key Factors Controlling Mineral Precipitation
Patterns in a Focusing and Mixing System Involving
Two Reactive Fluids
.................................. 136
6.4.2
Theoretical Analysis of Mineral Precipitation
Patterns in a Focusing and Mixing System Involving
Two Reactive Fluids
.................................. 138
6.4.3
Chemical Reaction Patterns due to Mixing and Focusing
of Two Reactive Fluids in Permeable Fault Zones
.......... 140
6.4.4
Numerical Illustration of Three Types of Chemical Reaction
Patterns Associated with Permeable Fault Zones
........... 145
7
An Equivalent Source Algorithm for Simulating Thermal and
Chemical Effects of Intruded Magma Solidification Problems
........153
7.1
An Equivalent Source Algorithm for Simulating
Thermal and Chemical Effects of Intruded Magma
Solidification Problems
......................................155
7.2
Implementation of the Equivalent Source Algorithm in the Finite
Element Analysis with Fixed Meshes
...........................160
7.3
Verification and Application of the Equivalent Source Algorithm
___163
8
The Particle Simulation Method for Dealing with Spontaneous
Crack Generation Problems in Large-Scale Geological Systems
......175
8.1
Basic Formulations of the Particle Simulation Method
.............179
8.2
Some Numerical Simulation Issues Associated with the Particle
Simulation Method
..........................................184
8.2.1
Numerical Simulation Issue Caused by the Difference
between an Element and a Particle
...................... 184
8.2.2
Numerical Simulation Issue Arising from Using the Explicit
Dynamic Relaxation Method to Solve a Quasi-Static Problem
186
8.2.3
Numerical Simulation Issue Stemming from the Loading
Procedure Used in the Particle Simulation Method
......... 189
8.3
An Upscale Theory of Particle Simulation for Two-Dimensional
Quasi-Static Problems
.......................................194
xiv Contents
8.4 Test and Application
Examples of the Particle Simulation Method
... 199
8.4.1
Comparison of the Proposed Loading Procedure
with the Conventional Loading Procedure
................201
8.4.2
The Similarity Test of Two Particle Samples
of Different Length-Scales
.............................204
8.4.3
Particle Simulation of the Folding Process Using Two
Similar Particle Models of Different Length-Scales
........210
8.4.4
Particle Simulation of the Faulting Process Using
the Proposed Particle Method
..........................216
Summary Statements
...............................................221
References
.........................................................227
Index
.............................................................239
|
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| author | Zhao, Chongbin Hobbs, Bruce E. 1936- Ord, Alison |
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| author_role | aut aut aut |
| author_sort | Zhao, Chongbin |
| author_variant | c z cz b e h be beh a o ao |
| building | Verbundindex |
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| callnumber-first | Q - Science |
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| callnumber-sort | QE 233.2 M3 |
| callnumber-subject | QE - Geology |
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| ctrlnum | (OCoLC)308158179 (DE-599)DNB991011910 |
| dewey-full | 550.285 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 550 - Earth sciences |
| dewey-raw | 550.285 |
| dewey-search | 550.285 |
| dewey-sort | 3550.285 |
| dewey-tens | 550 - Earth sciences |
| discipline | Geologie / Paläontologie Geographie |
| format | Book |
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| id | DE-604.BV035383914 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:32:35Z |
| institution | BVB |
| isbn | 9783540897422 9783540897439 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017188135 |
| oclc_num | 308158179 |
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| physical | XVI, 241 S. Ill., graph. Darst. |
| publishDate | 2009 |
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| publisher | Springer |
| record_format | marc |
| series | Lecture notes in earth sciences |
| series2 | Lecture notes in earth sciences |
| spelling | Zhao, Chongbin Verfasser (DE-588)1058601199 aut Fundamentals of computational geoscience numerical methods and algorithms Chongbin Zhao ; Bruce E. Hobbs ; Alison Ord Berlin [u.a.] Springer 2009 XVI, 241 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in earth sciences 122 Geowissenschaften - Numerisches Verfahren Datenverarbeitung Geologie Geology Computer simulation Geology Data processing Geowissenschaften (DE-588)4020288-4 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Geowissenschaften (DE-588)4020288-4 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Hobbs, Bruce E. 1936- Verfasser (DE-588)136110517 aut Ord, Alison Verfasser aut Lecture notes in earth sciences 122 (DE-604)BV023550940 122 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017188135&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Zhao, Chongbin Hobbs, Bruce E. 1936- Ord, Alison Fundamentals of computational geoscience numerical methods and algorithms Lecture notes in earth sciences Geowissenschaften - Numerisches Verfahren Datenverarbeitung Geologie Geology Computer simulation Geology Data processing Geowissenschaften (DE-588)4020288-4 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4020288-4 (DE-588)4128130-5 |
| title | Fundamentals of computational geoscience numerical methods and algorithms |
| title_auth | Fundamentals of computational geoscience numerical methods and algorithms |
| title_exact_search | Fundamentals of computational geoscience numerical methods and algorithms |
| title_full | Fundamentals of computational geoscience numerical methods and algorithms Chongbin Zhao ; Bruce E. Hobbs ; Alison Ord |
| title_fullStr | Fundamentals of computational geoscience numerical methods and algorithms Chongbin Zhao ; Bruce E. Hobbs ; Alison Ord |
| title_full_unstemmed | Fundamentals of computational geoscience numerical methods and algorithms Chongbin Zhao ; Bruce E. Hobbs ; Alison Ord |
| title_short | Fundamentals of computational geoscience |
| title_sort | fundamentals of computational geoscience numerical methods and algorithms |
| title_sub | numerical methods and algorithms |
| topic | Geowissenschaften - Numerisches Verfahren Datenverarbeitung Geologie Geology Computer simulation Geology Data processing Geowissenschaften (DE-588)4020288-4 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Geowissenschaften - Numerisches Verfahren Datenverarbeitung Geologie Geology Computer simulation Geology Data processing Geowissenschaften Numerisches Verfahren |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017188135&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV023550940 |
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