Geophysical Continua PDF Download

Author: B. L. N. Kennett
Publisher: Cambridge University Press
ISBN: 1139472097
Category : Science
Languages : en
Pages : 433

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Book Description
Geophysical Continua presents a systematic treatment of deformation in the Earth from seismic to geologic time scales, and demonstrates the linkages between different aspects of the Earth's interior that are often treated separately. A unified treatment of solids and fluids is developed to include thermodynamics and electrodynamics, in order to cover the full range of tools needed to understand the interior of the globe. The emphasis throughout the book is on relating seismological observations with interpretations of Earth processes. Physical principles and mathematical descriptions are developed that can be applied to a broad spectrum of geodynamic problems. Incorporating illustrative examples and an introduction to modern computational techniques, this textbook is designed for graduate-level courses in geophysics and geodynamics. It is also a useful reference for practising Earth scientists.

Author: Nikolay S. Sidorenkov
Publisher: John Wiley & Sons
ISBN: 3527627731
Category : Science
Languages : en
Pages : 317

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Book Description
Filling an important gap in the geophysical literature at specialist level, this monograph is the only up-to-date title to provide a link between the Earth's rotation and its atmo- and hydrosphere, including the ice masses. Starting with the Earth's motions, the text goes on to look at irregularities and the effect of atmospheric processes on the Earth's spin. Tides and seasons occupy the following sections before a discussion of the Earth-ocean-atmosphere system and the mechanical action of the atmosphere on the Earth's rotation. The whole is rounded off by an index of abbreviations and appendices with sections on related physics for better readability, plus a comprehensive bibliography for further reading. A must for geophysicists, oceanographers, glaciologists, climatologists and meteorologists alike.

Author: K. Hutter
Publisher: Springer
ISBN: 3709126002
Category : Science
Languages : en
Pages : 533

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Book Description
Modern continuum mechanics is the topic of this book. After its introduction it will be applied to a few typical systems arising in the environmental sciences and in geophysics. In large lake/ocean dynamics peculiar effects of the rotation of the Earth will be analyzed in linear/nonlinear processes of a homogenous and inhomogenous water body. Strong thermomechanical coupling paired with nonlinear rheology affects the flow of large ice sheets (such as Antarctica and Greenland) and ice shelves. Its response to the climatic forcing in an environmental of greenhouse warming may significantly affect the life of future generations. The mechanical behavior of granular materials under quasistatic loadings requires non-classical mixture concepts and encounters generally complicated elastic-plastic-type constitutive behavior. Creeping flow of soils, consolidation processes and ground water flow are described by such theories. Rapid shearing flow of granular materials lead to constitutive relations for the stresses which incorporate rate independent behavior of Mohr-Coulomb type together with dispersive stress contributions due to particle collisions. Rockfalls, sturzstroms, snow and ice avalanches, but also debris flow and sea ice drifting can be described with such formulations.

Author: Michael A Slawinski
Publisher: World Scientific Publishing Company
ISBN: 9814644218
Category : Science
Languages : en
Pages : 654

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Book Description
The present book — which is the third, significantly revised edition of the textbook originally published by Elsevier Science — emphasizes the interdependence of mathematical formulation and physical meaning in the description of seismic phenomena. Herein, we use aspects of continuum mechanics, wave theory and ray theory to explain phenomena resulting from the propagation of seismic waves.The book is divided into three main sections: Elastic Continua, Waves and Rays and Variational Formulation of Rays. There is also a fourth part, which consists of appendices.In Elastic Continua, we use continuum mechanics to describe the material through which seismic waves propagate, and to formulate a system of equations to study the behaviour of such a material. In Waves and Rays, we use these equations to identify the types of body waves propagating in elastic continua as well as to express their velocities and displacements in terms of the properties of these continua. To solve the equations of motion in anisotropic inhomogeneous continua, we invoke the concept of a ray. In Variational Formulation of Rays, we show that, in elastic continua, a ray is tantamount to a trajectory along which a seismic signal propagates in accordance with the variational principle of stationary traveltime. Consequently, many seismic problems in elastic continua can be conveniently formulated and solved using the calculus of variations. In the Appendices, we describe two mathematical concepts that are used in the book; namely, homogeneity of a function and Legendre's transformation. This section also contains a list of symbols.

Author: Michael A Slawinski
Publisher: World Scientific
ISBN: 9811226423
Category : Science
Languages : en
Pages : 680

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Book Description
Seismology, as a branch of mathematical physics, is an active subject of both research and development. Its reliance on computational and technological advances continuously motivates the developments of its underlying theory. The fourth edition of Waves and Rays in Elastic Continua responds to these needs.The book is both a research reference and a textbook. Its careful and explanatory style, which includes numerous exercises with detailed solutions, makes it an excellent textbook for the senior undergraduate and graduate courses, as well as for an independent study. Used in its entirety, the book could serve as a sole textbook for a year-long course in quantitative seismology. Its parts, however, are designed to be used independently for shorter courses with different emphases. The book is not limited to quantitive seismology; it can serve as a textbook for courses in mathematical physics or applied mathematics.

Author: Michael A Slawinski
Publisher: World Scientific Publishing Company
ISBN: 9813107677
Category : Science
Languages : en
Pages : 614

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Book Description
The present book — which is the second, and significantly extended, edition of the textbook originally published by Elsevier Science — emphasizes the interdependence of mathematical formulation and physical meaning in the description of seismic phenomena. Herein, we use aspects of continuum mechanics, wave theory and ray theory to explain phenomena resulting from the propagation of seismic waves.The book is divided into three main sections: Elastic Continua, Waves and Rays and Variational Formulation of Rays. There is also a fourth part, which consists of appendices.In Elastic Continua, we use continuum mechanics to describe the material through which seismic waves propagate, and to formulate a system of equations to study the behaviour of such a material. In Waves and Rays, we use these equations to identify the types of body waves propagating in elastic continua as well as to express their velocities and displacements in terms of the properties of these continua. To solve the equations of motion in anisotropic inhomogeneous continua, we invoke the concept of a ray. In Variational Formulation of Rays, we show that, in elastic continua, a ray is tantamount to a trajectory along which a seismic signal propagates in accordance with the variational principle of stationary traveltime. Consequently, many seismic problems in elastic continua can be conveniently formulated and solved using the calculus of variations. In the Appendices, we describe two mathematical concepts that are used in the book; namely, homogeneity of a function and Legendre's transformation. This section also contains a list of symbols.

Author: William Lowrie
Publisher: Cambridge University Press
ISBN: 1108694616
Category : Science
Languages : en
Pages : 431

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Book Description
This enduringly popular undergraduate textbook has been thoroughly reworked and updated, and now comprises twelve chapters covering the same breadth of topics as earlier editions, but in a substantially modernized fashion to facilitate classroom teaching. Covering both theoretical and applied aspects of geophysics, clear explanations of the physical principles are blended with step-by-step derivations of the key equations and over 400 explanatory figures to explain the internal structure and properties of the planet, including its petroleum and mineral resources. New topics include the latest data acquisition technologies, such as satellite geophysics, planetary landers, ocean bottom seismometers, and fibre optic methods, as well as recent research developments in ambient noise interferometry, seismic hazard analysis, rheology, and numerical modelling - all illustrated with examples from the scientific literature. Student-friendly features include separate text boxes with auxiliary explanations and advanced topics of interest; reading lists of foundational, alternative, or more detailed resources; end-of-chapter review questions and an increased number of quantitative exercises. Completely new to this edition is the addition of computational exercises in Python, designed to help students acquire important programming skills and develop a more profound understanding of geophysics.

Author: Victor N. Nikolaevskiy
Publisher: Springer Science & Business Media
ISBN: 9401701997
Category : Science
Languages : en
Pages : 252

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Book Description
Turbulence theory is one of the most intriguing parts of fluid mechanics and many outstanding scientists have tried to apply their knowledge to the development of the theory and to offer useful recommendations for solution of some practical problems. In this monograph the author attempts to integrate many specific approaches into the unified theory. The basic premise is the simple idea that a small eddy, that is an element of turbulent meso-structure, possesses its own dynamics as an object rotating with its own spin velocity and obeying the Newton dynamics of a finite body. A number of such eddies fills a coordinate cell, and the angular momentum balance has to be formulated for this spatial cell. If the cell coincides with a finite difference element at a numerical calculation and if the external length scale is large, this elementary volume can be considered as a differential one and a continuum parameterization has to be used. Nontrivial angular balance is a consequence of the asymmetrical Reynolds stress action at the oriented sides of an elementary volume. At first glance, the averaged dyad of velocity components is symmetrical, == However, if averaging is performed over the plane with normal nj, the principle of commutation is lost. As a result, the stress tensor asymmetry j is determined by other factors that participate in the angular momentum balance. This is the only possibility to determine a stress in engineering.

Author: Giorgio Ranalli
Publisher: Springer Science & Business Media
ISBN: 9780412546709
Category : Science
Languages : en
Pages : 442

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Book Description
Beginning with basic principles, this advanced text gives a complete treatment of deformation and flow of earth materials from both the continuum mechanics and the microphysical viewpoints. It covers the role and consequences of rheological processes in geophysics and geodynamics in a quantitative and authoritative manner. The second edition of this successful text: provides the only unified treatment of the rheology of the Earth at this level, making it useful to students and researchers alike; includes discussions of seismology, mantle convection and plate tectonics; is completely up to date, providing a much needed account of thermal and mechanical processes in geodynamics.

Author: Christoph Clauser
Publisher: Springer Nature
ISBN: 303117867X
Category : Geophysics
Languages : en
Pages : 403

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Book Description
This textbook on geophysics is a translated and revised editon from its third German edition Einfhrung in die Geophysik - Globale physikalische Felder und Prozesse in der Erde. Explaining the technical terminology, it introduces students and the interested scientific public to the physics of the Earth at an intermediate level. In doing so, it goes far beyond a purely phenomenological description, but systematically explains the physical principles of the processes and fields which affect the entire Earth: Its position in space; its internal structure; its age and that of its rocks; earthquakes and how they are used in exploring Earths structure; its shape, tides, and isostatic equilibrium; Earth's magnetic field, the geodynamo that generates it, and the interaction between the Earth's magnetosphere and the solar wind's plasma flow; the Earth's temperature field and heat transport processes in the core, mantle, and crust of the Earth and their role in driving the geodynamo and plate tectonics. All chapters begin with a brief historical outline describing the development of each branch of geophysics up to the recent past. Selected biographies illustrate the personal and social conditions under which groundbreaking results were achieved. Detailed mathematical derivations facilitate understanding. Exercises with worked-out results allow readers to test the gained understanding. A detailed appendix contains a wealth of useful additional information such as a geological time table, general reference data, conversion factors, the latest values of the natural constants, vector and tensor calculus, and two chapters on the basic equations of hydrodynamics and hydrothermics. The book addresses bachelor and master students of geophysics and general earth science, as well as students of physics, engineering, and environmental sciences with geophysics as a minor subject. The Author Christoph Clauser accepted the professorship for Applied Geophysics at RWTH Aachen University in Aachen, Germany in 2000. There, from 2007 until his retirement in 2018, he held the Chair of Applied Geophysics and Geothermal Energy at the E.ON Energy Research Center. He is an elected member of the National Academy of Sciences - German Academy of Sciences Leopoldina. He is specialized in geophysical aspects of reservoir engineering, particularly related to geothermal energy, hydrocarbons, and geological carbon dioxide sequestration.