Mathematical Aspects Of Seismology

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Mathematical Aspects of Seismology

Author : Markus Båth
Publisher : Elsevier
ISBN 13 : 1483274977
Total Pages : 428 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Mathematical Aspects of Seismology by : Markus Båth

Download or read book Mathematical Aspects of Seismology written by Markus Båth and published by Elsevier. This book was released on 2013-09-24 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developments in Solid Earth Geophysics, 4: Mathematical Aspects of Seismology introduces studies of the more advanced parts of theoretical seismology. The manuscript first ponders on contour integration and conformal transformation, methods of stationary phase and steepest descent, and series integration. Discussions focus on Love waves in heterogeneous isotropic media, Laguerre's differential equation, Hermite's differential equation, method of steepest descent, method of stationary phase, contour integration in the complex plane, and conformal transformation. The text then examines series integration, Bessel functions, Legendre functions, and wave equations. Topics include general considerations of the wave equation, expansion of a spherical wave into plane waves, common features of special functions and special differential equations, applications of Legendre functions, Legendre polynomials, Bessel's differential equation, and properties of Bessel coefficients. The book explores the influence of gravity on wave propagation, matrix calculus, wave propagation in liquid media, integral equations, calculus of variations, and integral transforms. The text is a valuable source of data for researchers wanting to study the mathematical aspects of seismology.

Mathematical Aspects of Seismology

Author : Markus Båth
Publisher :
ISBN 13 :
Total Pages : 448 pages
Book Rating : 4.:/5 (14 download)

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Book Synopsis Mathematical Aspects of Seismology by : Markus Båth

Download or read book Mathematical Aspects of Seismology written by Markus Båth and published by . This book was released on 1984 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Aspects of Seismology

Author : Markus Bath
Publisher :
ISBN 13 :
Total Pages : 448 pages
Book Rating : 4.:/5 (488 download)

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Book Synopsis Mathematical Aspects of Seismology by : Markus Bath

Download or read book Mathematical Aspects of Seismology written by Markus Bath and published by . This book was released on 1968 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elements of 3D Seismology, third edition

Author : Christopher L. Liner
Publisher : SEG Books
ISBN 13 : 1560803371
Total Pages : 363 pages
Book Rating : 4.5/5 (68 download)

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Book Synopsis Elements of 3D Seismology, third edition by : Christopher L. Liner

Download or read book Elements of 3D Seismology, third edition written by Christopher L. Liner and published by SEG Books. This book was released on 2016-10-15 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elements of 3D Seismology, third edition is a thorough introduction to the acquisition, processing, and interpretation of 3D seismic data. This third edition is a major update of the second edition. Sections dealing with interpretation have been greatly revised in accordance with improved understanding and availability of data and software. Practice exercises have been added, as well as a 3D seismic survey predesign exercise. Discussions include: conceptual and historical foundations of modern reflection seismology; an overview of seismic wave phenomena in acoustic, elastic, and porous media; acquisition principles for land and marine seismic surveys; methods used to create 2D and 3D seismic images from field data; concepts of dip moveout, prestack migration, and depth migration; concepts and limitations of 3D seismic interpretation for structure, stratigraphy, and rock property estimation; and the interpretation role of attributes, impedance estimation, and AVO. This book is intended as a general text on reflection seismology, including wave propagation, data acquisition, processing, and interpretation and will be of interest to entry-level geophysicists, experts in related fields (geology, petroleum engineering), and experienced geophysicists in one subfield wishing to learn about another (e.g., interpreters wanting to learn about seismic waves or data acquisition).

Mathematics of Multidimensional Seismic Imaging, Migration, and Inversion

Author : N. Bleistein
Publisher : Springer Science & Business Media
ISBN 13 : 1461300010
Total Pages : 537 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Mathematics of Multidimensional Seismic Imaging, Migration, and Inversion by : N. Bleistein

Download or read book Mathematics of Multidimensional Seismic Imaging, Migration, and Inversion written by N. Bleistein and published by Springer Science & Business Media. This book was released on 2013-11-22 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: For more than 80 years, the oil and gas industry has used seismic methods to construct images and determine physical characteristics of rocks that can yield information about oil and gas bearing structures in the earth. This book presents the different seismic data processing methods, also known as seismic "migration," in a unified mathematical way. The book serves as a bridge between the applied math and geophysics communities by presenting geophysicists with a practical introduction to advanced engineering mathematics, while presenting mathematicians with a window into the world of the mathematically sophisticated geophysicist.

Introduction to Seismology

Author : M. Bath
Publisher : Birkhäuser
ISBN 13 : 3034852835
Total Pages : 422 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Introduction to Seismology by : M. Bath

Download or read book Introduction to Seismology written by M. Bath and published by Birkhäuser. This book was released on 2013-11-11 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: To Seismology Second, Revised Edition 1979 Springer Basel AG First published under Markus Bath, Introduktion till Seism%gin by Natur och Kultur Stockholm © 1970, Markus Bath and Bokforlaget Natur och Kultur, Stockholm CIP-Kurztitelaufnahme der Deutschen Bibliothek Bath, Markus: Introduction to seismology / Markus Bath. - 2., rev. ed. (Wissenschaft und Kultur; Bd. 27) Einheitssacht. : Introduktion till seismologin (dt.) ISBN 978-3-0348-5285-2 ISBN 978-3-0348-5283-8 (eBook) DOI 10. 1007/978-3-0348-5283-8 All rights reserved No part of this book may be reproduced by any means, nor transmitted, nor translated into a machine language without the written permission of the publisher English translation © 1973, 1979 Springer Basel AG Urspriinglich erschienen bei Birkhlluser Verlag Basel 1979 Softcover reprint of tbe hardcover 2nd edition 1979 ISBN 978-3-0348-5285-2 The data must be greatly amplified Preface and strengthened. to the First Edition BE NO GUTENBERG (1959) The purpose of this book is to give a popular review of modern seismology, its research methods, problems of current interest and results and also to some extent to elucidate the historical background. Especially in recent years, seismology has attracted much interest from the general public as well as from news agencies. The reasons for this are partly con nected with recordings of large explosions (nuclear tests), partly related to earthquake catastrophes. This interest and the questions which people have asked us for the past years have to a certain extent served as a sti mulus in the preparation of this book.

Mathematics for Seismic Data Processing and Interpretation

Author : A.R. Camina
Publisher : Springer Science & Business Media
ISBN 13 : 9401177678
Total Pages : 270 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Mathematics for Seismic Data Processing and Interpretation by : A.R. Camina

Download or read book Mathematics for Seismic Data Processing and Interpretation written by A.R. Camina and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the growth of modern computing power it has become possible to apply far more mathematics to real problems. This has led to the difficulty that many people who have been working in various jobs suddenly find themselves not understanding the modern processing which is being applied to their own professional field. It also means that the people presently being trained in these subjects need to understand a much wider range of mathe matics than in the past. It is to both of these groups that this book is addressed. The major objective is to present the reader with the basic mathematical understanding to follow the new developments in their own field. The mathematics in this book is based on the need to understand signal process ing. The modern work in this area is mathematically very sophisticated and our purpose is not to train professional mathematicians but to make far more of the literature accessible. Since this book is based on courses devised for Racal Geophysics there is clearly going to be a bias towards the applications in that area, as the title implies. It is also true that the bibliogra phy has been chosen in order to aid the reader in that field by pointing them in the direction of recent applications in geophysics.

An Introduction to Seismology, Earthquakes, and Earth Structure

Author : Seth Stein
Publisher : John Wiley & Sons
ISBN 13 : 1118687450
Total Pages : 512 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis An Introduction to Seismology, Earthquakes, and Earth Structure by : Seth Stein

Download or read book An Introduction to Seismology, Earthquakes, and Earth Structure written by Seth Stein and published by John Wiley & Sons. This book was released on 2013-05-30 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Seismology, Earthquakes and Earth Structures is an introduction to seismology and its role in the earth sciences, and is written for advanced undergraduate and beginning graduate students. The fundamentals of seismic wave propagation are developed using a physical approach and then applied to show how refraction, reflection, and teleseismic techniques are used to study the structure and thus the composition and evolution of the earth. The book shows how seismic waves are used to study earthquakes and are integrated with other data to investigate the plate tectonic processes that cause earthquakes. Figures, examples, problems, and computer exercises teach students about seismology in a creative and intuitive manner. Necessary mathematical tools including vector and tensor analysis, matrix algebra, Fourier analysis, statistics of errors, signal processing, and data inversion are introduced with many relevant examples. The text also addresses the fundamentals of seismometry and applications of seismology to societal issues. Special attention is paid to help students visualize connections between different topics and view seismology as an integrated science. An Introduction to Seismology, Earthquakes, and Earth Structure gives an excellent overview for students of geophysics and tectonics, and provides a strong foundation for further studies in seismology. Multidisciplinary examples throughout the text - catering to students in varied disciplines (geology, mineralogy, petrology, physics, etc.). Most up to date book on the market - includes recent seismic events such as the 1999 Earthquakes in Turkey, Greece, and Taiwan). Chapter outlines - each chapter begins with an outline and a list of learning objectives to help students focus and study. Essential math review - an entire section reviews the essential math needed to understand seismology. This can be covered in class or left to students to review as needed. End of chapter problem sets - homework problems that cover the material presented in the chapter. Solutions to all odd numbered problem sets are listed in the back so that students can track their progress. Extensive References - classic references and more current references are listed at the end of each chapter. A set of instructor's resources containing downloadable versions of all the figures in the book, errata and answers to homework problems is available at: http://levee.wustl.edu/seismology/book/. Also available on this website are PowerPoint lecture slides corresponding to the first 5 chapters of the book.

Seismic Waves and Sources

Author : A. Ben-Menahem
Publisher : Springer Science & Business Media
ISBN 13 : 1461258561
Total Pages : 1127 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Seismic Waves and Sources by : A. Ben-Menahem

Download or read book Seismic Waves and Sources written by A. Ben-Menahem and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 1127 pages. Available in PDF, EPUB and Kindle. Book excerpt: Earthquakes come and go as they please, leaving behind them trails of destruc tion and casualties. Although their occurrence is little affected by what we do or think, it is the task of earth scientists to keep studying them from all possible angles until ways and means are found to divert, forecast, and eventually control them. In ancient times people were awestruck by singular geophysical events, which were attributed to supernatural powers. It was recognized only in 1760 that earthquakes originated within the earth. A hundred years later, first systematic attempts were made to apply physical principles to study them. During the next century scientists accumulated knowledge about the effects of earthquakes, their geographic patterns, the waves emitted by them, and the internal constitution of the earth. During the past 20 years, seismology has made a tremendous progress, mainly because of the advent of modern computers and improvements in data acquisi tion systems, which are now capable of digital and analog recording of ground motion over a frequency range of five orders of magnitude. These technologic developments have enabled seismologists to make measurements with far greater precision and sophistication than was previously possible. Advanced computational analyses have been applied to high-quality data and elaborate theoretical models have been devised to interpret them. As a result, far reaching advances in our knowledge of the earth's structure and the nature of earthquake sources have occurred.

Seismic Waves and Rays in Elastic Media

Author : M.A. Slawinski
Publisher : Elsevier
ISBN 13 : 0080540899
Total Pages : 424 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Seismic Waves and Rays in Elastic Media by : M.A. Slawinski

Download or read book Seismic Waves and Rays in Elastic Media written by M.A. Slawinski and published by Elsevier. This book was released on 2003-08-04 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book seeks to explore seismic phenomena in elastic media and emphasizes the interdependence of mathematical formulation and physical meaning. The purpose of this title - which is intended for senior undergraduate and graduate students as well as scientists interested in quantitative seismology - is to use aspects of continuum mechanics, wave theory and ray theory to describe phenomena resulting from the propagation of waves. The book is divided into three parts: Elastic continua, Waves and rays, and Variational formulation of rays. In Part I, continuum mechanics are used to describe the material through which seismic waves propagate, and to formulate a system of equations to study the behaviour of such material. In Part II, these equations are used 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, the high-frequency approximation is used and establishes the concept of a ray. In Part III, it is shown 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 travel time.

Waves And Rays In Seismology: Answers To Unasked Questions (Third Edition)

Author : Michael A Slawinski
Publisher : World Scientific
ISBN 13 : 9811226458
Total Pages : 654 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Waves And Rays In Seismology: Answers To Unasked Questions (Third Edition) by : Michael A Slawinski

Download or read book Waves And Rays In Seismology: Answers To Unasked Questions (Third Edition) written by Michael A Slawinski and published by World Scientific. This book was released on 2020-11-20 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book on seismology dealing with advanced aspects of wave propagation in complex media. It can also be viewed as a book on mathematical modelling, wherein the accuracy of describing seismic phenomena exemplifies the modelling itself. The book gives an insight into the power of abstractness by applying the same mathematical methods and strategies to solve a variety of different physical problems. This book covers a broad range of topics in an advanced yet accessible manner. Each chapter is accompanied by a number of solved exercises, which render the book convenient for a lecturer and facilitate its use for an independent study. The details of mathematical methods are discussed in the appendices, which form a substantial portion of the book.

Computational Seismology

Author : Heiner Igel
Publisher : Oxford University Press
ISBN 13 : 0198717407
Total Pages : 340 pages
Book Rating : 4.1/5 (987 download)

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Book Synopsis Computational Seismology by : Heiner Igel

Download or read book Computational Seismology written by Heiner Igel and published by Oxford University Press. This book was released on 2017 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introductory text to a range of numerical methods used today to simulate time-dependent processes in Earth science, physics, engineering and many other fields. It looks under the hood of current simulation technology and provides guidelines on what to look out for when carrying out sophisticated simulation tasks.

Mathematical Problems in Seismology

Author : William J. Byatt
Publisher :
ISBN 13 :
Total Pages : 82 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Problems in Seismology by : William J. Byatt

Download or read book Mathematical Problems in Seismology written by William J. Byatt and published by . This book was released on 1961 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report deals with mathematical problems in seismology. Homogeneous and layered half-spaces are discussed. Expressions are found for the displacement caused by a point source in such models. Numerical results are presented for the displacement caused by the sudden injection of a volume into a homogeneous half-space after the model of E. Pinney. Pinney's results are extended. Numerical ray-tracing calculations are presented. Most of the original work in the report is chiefly concerned with the development of an iteration-variation method for solving wave equations in media of variable index of refraction. This method is promising and is being actively investigated.

Introduction to Seismology

Author : Peter M. Shearer
Publisher : Cambridge University Press
ISBN 13 : 1139478753
Total Pages : 397 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Introduction to Seismology by : Peter M. Shearer

Download or read book Introduction to Seismology written by Peter M. Shearer and published by Cambridge University Press. This book was released on 2009-06-11 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an approachable and concise introduction to seismic theory, designed as a first course for undergraduate students. It clearly explains the fundamental concepts, emphasizing intuitive understanding over lengthy derivations. Incorporating over 30% new material, this second edition includes all the topics needed for a one-semester course in seismology. Additional material has been added throughout including numerical methods, 3-D ray tracing, earthquake location, attenuation, normal modes, and receiver functions. The chapter on earthquakes and source theory has been extensively revised and enlarged, and now includes details on non-double-couple sources, earthquake scaling, radiated energy, and finite slip inversions. Each chapter includes worked problems and detailed exercises that give students the opportunity to apply the techniques they have learned to compute results of interest and to illustrate the Earth's seismic properties. Computer subroutines and datasets for use in the exercises are available at www.cambridge.org/shearer.

Waves And Rays In Seismology: Answers To Unasked Questions (Third Edition)

Author : MICHAEL A. SLAWINSKI
Publisher : World Scientific Publishing Company
ISBN 13 : 9789811226434
Total Pages : 650 pages
Book Rating : 4.2/5 (264 download)

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Book Synopsis Waves And Rays In Seismology: Answers To Unasked Questions (Third Edition) by : MICHAEL A. SLAWINSKI

Download or read book Waves And Rays In Seismology: Answers To Unasked Questions (Third Edition) written by MICHAEL A. SLAWINSKI and published by World Scientific Publishing Company. This book was released on 2020-11-13 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book on seismology dealing with advanced aspects of wave propagation in complex media. It can also be viewed as a book on mathematical modelling, wherein the accuracy of describing seismic phenomena exemplifies the modelling itself. The book gives an insight into the power of abstractness by applying the same mathematical methods and strategies to solve a variety of different physical problems. This book covers a broad range of topics in an advanced yet accessible manner. Each chapter is accompanied by a number of solved exercises, which render the book convenient for a lecturer and facilitate its use for an independent study. The details of mathematical methods are discussed in the appendices, which form a substantial portion of the book.

Mathematical Geophysics

Author : N J Vlaar
Publisher :
ISBN 13 : 9789400928589
Total Pages : 422 pages
Book Rating : 4.9/5 (285 download)

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Book Synopsis Mathematical Geophysics by : N J Vlaar

Download or read book Mathematical Geophysics written by N J Vlaar and published by . This book was released on 1987-12-31 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Petroleum Seismology, second edition

Author : Luc T. Ikelle
Publisher : SEG Books
ISBN 13 : 1560803436
Total Pages : 1403 pages
Book Rating : 4.5/5 (68 download)

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Book Synopsis Introduction to Petroleum Seismology, second edition by : Luc T. Ikelle

Download or read book Introduction to Petroleum Seismology, second edition written by Luc T. Ikelle and published by SEG Books. This book was released on 2018-03-26 with total page 1403 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Petroleum Seismology, second edition (SEG Investigations in Geophysics Series No. 12) provides the theoretical and practical foundation for tackling present and future challenges of petroleum seismology especially those related to seismic survey designs, seismic data acquisition, seismic and EM modeling, seismic imaging, microseismicity, and reservoir characterization and monitoring. All of the chapters from the first edition have been improved and/or expanded. In addition, twelve new chapters have been added. These new chapters expand topics which were only alluded to in the first edition: sparsity representation, sparsity and nonlinear optimization, near-simultaneous multiple-shooting acquisition and processing, nonuniform wavefield sampling, automated modeling, elastic-electromagnetic mathematical equivalences, and microseismicity in the context of hydraulic fracturing. Another major modification in this edition is that each chapter contains analytical problems as well as computational problems. These problems include MatLab codes, which may help readers improve their understanding of and intuition about these materials. The comprehensiveness of this book makes it a suitable text for undergraduate and graduate courses that target geophysicists and engineers as well as a guide and reference work for researchers and professionals in academia and in the petroleum industry.