| 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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