Introduction to Numerical Geodynamic Modelling

by Taras Gerya

Overview

Numerical modelling of geodynamic processes was predominantly the domain of high-level mathematicians experienced in numerical and computational techniques. Now, for the first time, students and new researchers in the Earth Sciences can learn the basic theory and applications from a single, accessible reference text. Assuming only minimal prerequisite mathematical training (simple linear algebra and derivatives) the author provides a solid grounding in basic mathematical theory and techniques, including continuum mechanics and partial differential equations, before introducing key numerical and modelling methods. 8 well-documented, state-of–the-art visco-elasto-plastic, 2-D models are then presented, which allow robust modelling of key dynamic processes such as subduction, lithospheric extension, collision, slab break-off, intrusion emplacement, mantle convection and planetary core formation. Incorporating 47 practical exercises and 67 MATLAB examples (for which codes are available online at www.cambridge.org/gerya), this textbook provides a user-friendly introduction for graduate courses or self-study, encouraging readers to experiment with geodynamic models.

Product Details

ISBN-13:	9780511848186
Publisher:	Cambridge University Press
Publication date:	12/17/2009
Series:	Cambridge Studies in Linguistics, 124 Series
Sold by:	Barnes & Noble
Format:	eBook
File size:	11 MB
Note:	This product may take a few minutes to download.

About the Author

Taras Gerya was awarded a Ph.D. in 1990 from the Moscow State University and went on to become a Senior Researcher and Head of the Laboratory of Metamorphism at the Institute of Experimental Mineralogy, Russian Academy of Sciences, Moscow. He was awarded a Habilitation in petrology before moving to the Ruhr University of Bochum, Germany in 2000 as an Alexander von Humboldt Foundation Research Fellow. In 2004 he took up a position as Senior Research Scientist in the Department of Earth Sciences at ETH-Zurich, Switzerland, while continuing to be an Adjunct Professor in the Geology Department of Moscow State University. He was awarded a Habilitation in numerical geodynamic modelling by ETH-Zurich in 2008 and the Golden Owl Prize 2008 from ETH students for teaching of continuum mechanics and numerical geodynamic modelling. Dr Gerya is the author of over 50 papers on geodynamic modelling in leading peer-review journals.

Table of Contents

Acknowledgements; Introduction; 1. The continuity equation; 2. Density and gravity; 3. Numerical solutions of partial differential equations; 4. Stress and strain; 5. The momentum equation; 6. Viscous rheology of rocks; 7. Numerical solutions of the momentum and continuity equations; 8. The advection equation and marker-in-cell method; 9. The heat conservation equation; 10. Numerical solution of the heat conservation equation; 11. 2-D thermomechanical code structure; 12. Elasticity and plasticity; 13. 2-D implementation of visco-elastic-plastic rheology; 14. The multi-grid method; 15. Programming of 3-D problems; 16. Numerical benchmarks; 17. Design of 2-D numerical geodynamic models; Epilogue: outlook; Appendix: MATLAB program examples; References; Index.

Editorial Reviews

'A great introduction to computational geodynamics with vivid examples, hands-on exercises and step-by-step derivations of formulas. Even better than the first edition.' Sascha Brune, Das Helmholtz-Zentrum Potsdam – Deutsches GeoForschungsZentrum

'This book is so much more than an introduction to geodynamic modelling. Taras Gerya opens the world of geodynamic experiments by taking the reader through a carefully designed set of hands-on programming exercises that will convince you that modelling is not terribly complicated, but a process to logically follow through. Go ahead and get started!' Susanne Buiter, Geological Survey of Norway

'This comprehensive textbook challenges all solid Earth scientists to give geodynamic modelling a try in a hands-on, empowering style. The new edition covers even more ground, including cutting-edge topics. A great achievement, and the community will be the better for it.' Thorsten Becker, University of Texas, Austin

Praise for the first edition: ‘… the book provides excellent value for those wanting an introduction to the field. Anyone who works carefully through this book and completes all the exercises should be well prepared for further work in geodynamic modelling.' Geoscientist

Praise for the first edition: ‘The book is written in a light and engaging style such that it deserves a place on the recommended reading list of any undergraduate or Masters course that includes geodynamics. Additionally, it will be a valuable resource for any geoscientist who wants to include geodynamic modelling within their research activities.' Geological Magazine

From the Publisher