Fundamentals of Computational Geoscience

by Zhao, Chongbin; Hobbs, Bruce E.; Ord, Alison

• ISBN13: 9783540897422
• ISBN10: 3540897429
• Format: Hardcover
• Copyright: 2009-07-01
• Publisher: Springer Verlag

Summary

This series reports new developments in research and teaching in the entire field of earth sciences-quickly, informally, and at a high level. The timeliness of a manuscript is more important than its form, which may be unfinished or tentative. The type of material considered for publication includes

Table of Contents

Introduction	p. 1
Characteristics of Computational Geoscience	p. 2
Basic Steps Associated with the Research Methodology of Computational Geoscience	p. 3
The Conceptual Model of a Geoscience Problem	p. 3
The Mathematical Model of a Geoscience Problem	p. 3
The Numerical Simulation Model of a Geoscience Problem	p. 4
Graphical Display of the Numerical Simulation Results	p. 5
The Contextual Arrangements of this Monograph	p. 5
A Progressive Asymptotic Approach Procedure for Simulating Steady-State Natural Convective Problems in Fluid-Saturated Porous Media	p. 7
Governing Equations of the Problem	p. 9
Finite Element Formulation of the Problem	p. 11
The Progressive Asymptotic Approach Procedure for Solving Steady-State Natural Convection Problems in Fluid-Saturated Porous Media	p. 14
Derivation of Analytical Solution to a Benchmark Problem	p. 16
Verification of the Proposed Progressive Asymptotic Approach Procedure Associated with Finite Element Analysis	p. 19
Application of the Progressive Asymptotic Approach Procedure Associated with Finite Element Analysis	p. 22
Two-Dimensional Convective Pore-Fluid Flow Problems	p. 22
Three-Dimensional Convective Pore-Fluid Flow Problems	p. 28
A Consistent Point-Searching Interpolation Algorithm for Simulating Coupled Problems between Deformation, Pore-Fluid Flow, Heat Transfer and Mass Transport Processes in Hydrothemal Systems	p. 37
Statement of the Coupled Problem and Solution Method	p. 38
Mathematical Formulation of the Consistent Point-Searching Interpolation Algorithm in Unstructured Meshes	p. 42
Point Searching Step	p. 43
Inverse Mapping Step	p. 45
Consistent Interpolation Step	p. 50
Verification of the Proposed Consistent Point-Searching Interpolation Algorithm	p. 51
Application Examples of the Proposed Consistent Point-Searching Interpolation Algorithm	p. 56
Numerical Modelling of Coupled Problems Involving Deformation, Pore-Fluid Flow and Heat Transfer in Fluid-Saturated Porous Media	p. 56
Numerical Modelling of Coupled Problems Involving Deformation, Pore-Fluid Flow, Heat Transfer and Mass Transport in Fluid-Saturated Porous Media	p. 59
A Term Splitting Algorithm for Simulating Fluid-Rock Interaction Problems in Fluid-Saturated Hydrothermal Systems of Subcritical Zhao Numbers	p. 73
Key Issues Associated with the Numerical Modelling of Fluid-Rock Interaction Problems	p. 76
Development of the Term Splitting Algorithm	p. 77
Application Examples of the Term Splitting Algorithm	p. 82
A Segregated Algorithm for Simulating Chemical Dissolution Front Instabilities in Fluid-Saturated Porous Rocks	p. 95
Mathematical Background of Chemical Dissolution Front Instability Problems in Fluid-Saturated Porous Rocks	p. 96
A General Case of Reactive Multi-Chemical-Species Transport with Consideration of Porosity/Permeability Feedback	p. 96
A Particular Case of Reactive Single-Chemical-Species Transport with Consideration of Porosity/Permeability Feedack	p. 99
Proposed Segregated Algorithm for Simulating the Morphological Evolution of a Chemical Dissolution Front	p. 109
Formulation of the Segregated Algorithm for Simulating the Evolution of Chemical Dissolution Fronts	p. 109
Verification of the Segregated Algorithm for Simulating the Evolution of Chemical Dissolution Fronts	p. 111
Application of the Segregated Algorithm for Simulating the Morphological Evolution of Chemical Dissolution Fronts	p. 115
A Decoupling Procedure for Simulating Fluid Mixing, Heat Transfer and Non-Equilibrium Redox Chemical Reactions in Fluid-Saturated Porous Rocks	p. 121
Statement of Coupled Problems between Fluids Mixing, Heat Transfer and Redox Chemical Reactions	p. 123
A Decoupling Procedure for Removing the Coupling between Reactive Transport Equations of Redox Chemical Reactions	p. 126
Verification of the Decoupling Procedure	p. 128
Applications of the Proposed Decoupling Procedure to Predict Mineral Precipitation Patterns in a Focusing and Mixing System Involving Two Reactive Fluids	p. 134
Key Factors Controlling Mineral Precipitation Patterns in a Focusing and Mixing System Involving Two Reactive Fluids	p. 136
Theoretical Analysis of Mineral Precipitation Patterns in a Focusing and Mixing System Involving Two Reactive Fluids	p. 138
Chemical Reaction Patterns due to Mixing and Focusing of Two Reactive Fluids in Permeable Fault Zones	p. 140
Numerical Illustration of Three Types of Chemical Reaction Patterns Associated with Permeable Fault Zones	p. 145
An Equivalent Source Algorithm for Simulating Thermal and Chemical Effects of Intruded Magma Solidification Problems	p. 153
An Equivalent Source Algorithm for Simulating Thermal and Chemical Effects of Intruded Magma Solidification Problems	p. 155
Implementation of the Equivalent Source Algorithm in the Finite Element Analysis with Fixed Meshes	p. 160
Verification and Application of the Equivalent Source Algorithm	p. 163
The Particle Simulation Method for Dealing with Spontaneous Crack Generation Problems in Large-Scale Geological Systems	p. 175
Basic Formulations of the Particle Simulation Method	p. 179
Some Numerical Simulation Issues Associated with the Particle Simulation Method	p. 184
Numerical Simulation Issue Caused by the Difference between an Element and a Particle	p. 184
Numerical Simulation Issue Arising from Using the Explicit Dynamic Relaxation Method to Solve a Quasi-Static Problem	p. 186
Numerical Simulation Issue Stemming from the Loading Procedure Used in the Particle Simulation Method	p. 189
An Upscale Theory of Particle Simulation for Two-Dimensional Quasi-Static Problems	p. 194
Test and Application Examples of the Particle Simulation Method	p. 199
Comparison of the Proposed Loading Procedure with the Conventional Loading Procedure	p. 201
The Similarity Test of Two Particle Samples of Different Length-Scales	p. 204
Particle Simulation of the Folding Process Using Two Similar Particle Models of Different Length-Scales	p. 210
Particle Simulation of the Faulting Process Using the Proposed Particle Method	p. 216
Summary Statements	p. 221
References	p. 227
Index	p. 239
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