Numerical Modelling In Applied Geodynamics
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Numerical Modelling in Applied Geodynamics
The aim of this monograph is to provide mathematical bases and methods for analysing geophysical problems for global geodynamic models of the Earth and planets. If presents computational methods, based on variational formulations of model problems used in all areas of geosciences. Tectonic plates, seismic waves propagation, geothermal and electromagnetic fields, global geodynamics, geomagnetic and gravity models are all addressed. Emphasis is placed on the variational approach to the problems studied, which involves numerical analysis, whilst preserving the physical nature of the problems. The book details numerous applications of geodynamic and plate tectonic models which relate to constructions such as nuclear power plants, high level radioactive waste repositories, deep mines and water dams, under critical conditions.
Introduction to Numerical Geodynamic Modelling
Author: Taras Gerya
language: en
Publisher: Cambridge University Press
Release Date: 2009-12-17
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.
Computational Methods for Geodynamics
Author: Alik Ismail-Zadeh
language: en
Publisher: Cambridge University Press
Release Date: 2010-07-22
Written as both a textbook and a handy reference, this text deliberately avoids complex mathematics assuming only basic familiarity with geodynamic theory and calculus. Here, the authors have brought together the key numerical techniques for geodynamic modeling, demonstrations of how to solve problems including lithospheric deformation, mantle convection and the geodynamo. Building from a discussion of the fundamental principles of mathematical and numerical modeling, the text moves into critical examinations of each of the different techniques before concluding with a detailed analysis of specific geodynamic applications. Key differences between methods and their respective limitations are also discussed - showing readers when and how to apply a particular method in order to produce the most accurate results. This is an essential text for advanced courses on numerical and computational modeling in geodynamics and geophysics, and an invaluable resource for researchers looking to master cutting-edge techniques. Links to supplementary computer codes are available online.