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Computational Methods for Geodynamics by Alik Ismail-Zadeh,Paul Tackley Pdf
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 by Taras Gerya Pdf
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 by Huai Zhang,David A. Yuen Pdf
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.
Data-Driven Numerical Modelling in Geodynamics: Methods and Applications by Alik Ismail-Zadeh,Alexander Korotkii,Igor Tsepelev Pdf
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.
Numerical Modelling in Applied Geodynamics by Jirí Nedoma Pdf
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 by Taras Gerya Pdf
"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.
This book augments and extends the classic textbook Geodynamics by Turcotte and Schubert, presenting more complex and foundational mathematical approaches to global tectonics, plate driving forces, space geodesy, and earthquake physics. It includes student exercises that use the methods developed, with solutions available online for instructors.
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.
Introduction to Numerical Geodynamic Modelling by Taras Gerya Pdf
The second edition of this popular introduction to numerical geodynamic modelling theory and applications features four new chapters. Based on the author's experience of teaching the material, and including practical exercises and MATLAB® examples, this user-friendly resource encourages students and researchers to experiment with geodynamic models.
Automated Solution of Differential Equations by the Finite Element Method by Anders Logg,Kent-Andre Mardal,Garth Wells Pdf
This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, software design and the use of FEniCS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a special introductory tutorial for beginners. Following are chapters in Part I addressing fundamental aspects of the approach to automating the creation of finite element solvers. Chapters in Part II address the design and implementation of the FEnicS software. Chapters in Part III present the application of FEniCS to a wide range of applications, including fluid flow, solid mechanics, electromagnetics and geophysics.
Applications of Data Assimilation and Inverse Problems in the Earth Sciences by Alik Ismail-Zadeh,Fabio Castelli,Dylan Jones,Sabrina Sanchez Pdf
A comprehensive reference on data assimilation and inverse problems, and their applications across a broad range of geophysical disciplines, ideal for researchers and graduate students. It highlights the importance of data assimilation for understanding dynamical processes of the Earth and its space environment, and summarises recent advances.
Encyclopedia of Geology, Second Edition presents in six volumes state-of-the-art reviews on the various aspects of geologic research, all of which have moved on considerably since the writing of the first edition. New areas of discussion include extinctions, origins of life, plate tectonics and its influence on faunal provinces, new types of mineral and hydrocarbon deposits, new methods of dating rocks, and geological processes. Users will find this to be a fundamental resource for teachers and students of geology, as well as researchers and non-geology professionals seeking up-to-date reviews of geologic research. Provides a comprehensive and accessible one-stop shop for information on the subject of geology, explaining methodologies and technical jargon used in the field Highlights connections between geology and other physical and biological sciences, tackling research problems that span multiple fields Fills a critical gap of information in a field that has seen significant progress in past years Presents an ideal reference for a wide range of scientists in earth and environmental areas of study
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.
Quantitative Plate Tectonics by Antonio Schettino Pdf
This textbook on plate tectonics is designed for students in geology and geophysics to acquire in-depth knowledge of quantitative methods in plate kinematics and dynamics. Quantitative Plate Tectonics can also be used as a reference book by geoscientists who desire to expand their knowledge beyond their own specialization, or by oil-and-gas professionals and ore deposit specialists that need to investigate the geodynamic context of formation of geologic resources. Finally, this book can be considered as a comprehensive monograph on plate tectonics, which addresses the different quantitative aspects of this broad discipline, which has been traditionally partitioned into separate or quasi-separate branches. Additional material, available at http://extras.springer.com, includes two computer programs for the analysis of marine magnetic anomalies and for plate kinematic modelling, as well as some important geophysical data sets and models. Solutions to the exercises are also included. A unified quantitative description of plate tectonics, combining geological and geophysical perspectives Professional software, manual verification examples and applications are available as additional material Includes detailed calculations, examples, and problem sets per chapter Well illustrated "Dr. Schettino has produced a book covering in a rigorous way the kinematics and dynamics of plate tectonics. The fundamental physics governing geodynamic processes is discussed quantitatively, the relevant equations are clearly derived, and the implications of results are illustrated with examples and problems. The book will repay careful reading not only by postgraduate students in geophysics and geology, but also by any Earth scientist who wishes to acquire a quantitative understanding of plate tectonics."Giorgio Ranalli, Distinguished Research Professor, Department of Earth Sciences, Carleton university, Ottawa, Canada (author of "Rheology of the Earth", two editions, 1987 and 1995) "This text gives an excellent quantitative presentation of the kinematics and the dynamics of plate tectonics that integrates many aspects of the Earth sciences and provides a powerful model of the dynamic behaviour of the Earth. The geological and geophysical processes involved in elucidating the theory are clearly illustrated through a perfectly balanced level of mathematical and physical concepts including derivation of the relevant equations, examples and problems. The book is intended for advanced undergraduates, graduate students and professional earth scientists requiring an overview of the essential processes of plate tectonics." Marco Ligi, Senior Researcher, National Research Council of Italy, Istituto di Scienze Marine, Bologna, Italy.
