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Computational Methods for Geodynamics

Author: Alik Ismail-Zadeh

Publisher: Cambridge University Press

Published: 2010-07-22

Total Pages: 333

ISBN-13: 1139489356

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.

Introduction to Numerical Geodynamic Modelling

Author: Taras Gerya

Publisher: Cambridge University Press

Published: 2010

Total Pages: 359

ISBN-13: 0521887542

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This user-friendly reference for students and researchers presents the basic mathematical theory, before introducing modelling of key geodynamic processes.

Contemporary Computational Geodynamics in China

Author: Huai Zhang

Publisher: Springer

Published: 2016-01-06

Total Pages: 350

ISBN-13: 9783642134036

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Computational methods for studies in Geophysics and Geodynamics are becoming increasingly more sophisticated. This book presents the latest developments in computational environments, grid computing technologies and data management. The organisation of geological data and their ontologies are focused upon with respect to integrating geological data into the state-of-the-art cyberinfrastructure for studies of modern geodynamics. This includes the presentation of fundamental theory, modeling and numerical simulation results, and the latest developments in geodynamics and seismic research, with a number of case studies from China.

Pythonic Geodynamics

Author: Gabriele Morra

Publisher: Springer

Published: 2017-08-01

Total Pages: 227

ISBN-13: 3319556827

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This book addresses students and young researchers who want to learn to use numerical modeling to solve problems in geodynamics. Intended as an easy-to-use and self-learning guide, readers only need a basic background in calculus to approach most of the material. The book difficulty increases very gradually, through four distinct parts. The first is an introduction to the Python techniques necessary to visualize and run vectorial calculations. The second is an overview with several examples on classical Mechanics with examples taken from standard introductory physics books. The third part is a detailed description of how to write Lagrangian, Eulerian and Particles in Cell codes for solving linear and non-linear continuum mechanics problems. Finally the last one address advanced techniques like tree-codes, Boundary Elements, and illustrates several applications to Geodynamics. The entire book is organized around numerous examples in Python, aiming at encouraging the reader to le arn by experimenting and experiencing, not by theory.

Advanced Geodynamics

Author: David T. Sandwell

Publisher: Cambridge University Press

Published: 2022-01-27

Total Pages: 283

ISBN-13: 1009021494

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David Sandwell developed this advanced textbook over a period of nearly 30 years for his graduate course at Scripps Institution of Oceanography. The book augments the classic textbook Geodynamics by Don Turcotte and Jerry Schubert, presenting more complex and foundational mathematical methods and approaches to geodynamics. The main new tool developed in the book is the multi-dimensional Fourier transform for solving linear partial differential equations. The book comprises nineteen chapters, including: the latest global data sets; quantitative plate tectonics; plate driving forces associated with lithospheric heat transfer and subduction; the physics of the earthquake cycle; postglacial rebound; and six chapters on gravity field development and interpretation. Each chapter has a set of student exercises that make use of the higher-level mathematical and numerical methods developed in the book. Solutions to the exercises are available online for course instructors, on request.

Geodynamics

Author: Donald Turcotte

Publisher: Cambridge University Press

Published: 2014-04-07

Total Pages: 639

ISBN-13: 1107006538

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A fully updated third edition of this classic textbook, containing two new chapters on numerical modelling supported by online MATLAB® codes.

Data-Driven Numerical Modelling in Geodynamics: Methods and Applications

Author: Alik Ismail-Zadeh

Publisher: Springer

Published: 2016-05-17

Total Pages: 105

ISBN-13: 3319278010

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This book describes the methods and numerical approaches for data assimilation in geodynamical models and presents several applications of the described methodology in relevant case studies. The book starts with a brief overview of the basic principles in data-driven geodynamic modelling, inverse problems, and data assimilation methods, which is then followed by methodological chapters on backward advection, variational (or adjoint), and quasi-reversibility methods. The chapters are accompanied by case studies presenting the applicability of the methods for solving geodynamic problems; namely, mantle plume evolution; lithosphere dynamics in and beneath two distinct geological domains – the south-eastern Carpathian Mountains and the Japanese Islands; salt diapirism in sedimentary basins; and volcanic lava flow. Applications of data-driven modelling are of interest to the industry and to experts dealing with geohazards and risk mitigation. Explanation of the sedimentary basin evolution complicated by deformations due to salt tectonics can help in oil and gas exploration; better understanding of the stress-strain evolution in the past and stress localization in the present can provide an insight into large earthquake preparation processes; volcanic lava flow assessments can advise on risk mitigation in the populated areas. The book is an essential tool for advanced courses on data assimilation and numerical modelling in geodynamics.

Introduction to Numerical Geodynamic Modelling

Author: Taras Gerya

Publisher:

Published: 2010

Total Pages: 345

ISBN-13: 9781107211650

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"Until now, numerical modelling of geodynamic processes has been the domain of highly trained mathematicians with long experience of 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 the basic mathematical theory and techniques, including continuum mechanics and partial differential equations, before introducing key numerical and modelling methods. Eight well-documented and state-of-the-art visco-elasto-plastic, 2D models are then presented, which allowrobustmodelling 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 67MATLABexamples (forwhich codes are available online at www.cambridge.org/gerya) this textbook provides a userfriendly introduction for graduate courses or self-study, and encourages readers to experiment with geodynamic models first hand"--Provided by publisher.

Numerical Modelling in Applied Geodynamics

Author: Jirí Nedoma

Publisher:

Published: 1998-09-29

Total Pages: 1002

ISBN-13:

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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.

Very Slow Flows of Solids

Author: L.A. Lliboutry

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 518

ISBN-13: 9400935633

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This book is written primarily for Earth scientists faced with problems in thermo mechanics such as the flow and evolution of ice-sheets, convection currents in the mantle, isostatic rebound, folding of strata or collapse of cavities in salt domes. Failure, faults, seismic waves and all processes involving inertial terms will not be dealt with. In general such scientists (graduate students beginning a Ph. D. for instance) have too small a background'in continuum mechanics and in numerical computation to model conveniently these problems, which are not elementary at all. Most of them are not linear, and therefore seldom dealt with in treatises. If the study of reality were clearly cut into two successive steps: first to make a physical model, setting up a well-posed problem in thermo-mechanics, and second to solve it, the obvious solution would be to find a specialist in computational mechanics who could spend enough time on a problem which, although maybe crucial for on-going fundamental research, has little practical interest in general, and cannot be considered properly as a noteworthy progress in Mechanics. But this is not the way Science develops. There is a continuous dialectic between the building up of a model and its mathematical treatment. The model should be simple enough to be tractable, but not oversimplified. Its sensitivity to the different components it is made of should be investigated, and more thought is needed when the results contradict hard facts.