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 ...

Author: Michael A Slawinski

Publisher: World Scientific Publishing Company

ISBN: 9789814644211

Category: Science

Page: 656

View: 652

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. Request Inspection Copy

... methods and meaning: Dover Anastopoulos, C., (2008) Particle or wave: The ... (2005) Mathématiques pour la physique et les physiciens (3rd edition): H ...

Author: Michael A Slawinski

Publisher: World Scientific

ISBN: 9789811226427

Category: Science

Page: 680

View: 938

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.

F. Santosa and Y.-H. Pao, 1989, “Transient Axially Asymmetric Response of an Elastic Plate”, Wave Motion, v.11, pp.271-295. T. Ohira and Y.-H. Pao, 1989, ...

Author: Kolumban Hutter

Publisher: World Scientific

ISBN: 9789814460781

Category: Technology & Engineering

Page: 436

View: 446

The book reviews recent research activities in applied mechanics and applied mathematics such as the fields of solid & fluid constitutive modeling for coupled fields, applications of geophysical & environmental context in judicious numerical-computational implementations. The book aims to merge foundation aspects of continuum mechanics with modern technological applications, notably on reviewing recent advances in the treated subjects in an attractive presentation accessible to a wide readership of engineering and applied sciences. Contents:Waves:Lamb Waves in Phononic Band Gap Structures (T T Wu)On Generalization of the Phase Relations in the Method of Reverberation-Ray Matrix (W Q Chen)Surface-Wave Nonlinearity Measured with Emat for Fatigued Steels (M Hirao)Acoustoelastic Lamb Waves and Implications for Structural Health Monitoring (J E Michaels)Source Synthesis for Inverse Problems in Wave Propagation (W W Symes)Numerical Mathematics/Time Series Analysis:An Introduction to an Adaptive Data Analysis Method (N E Huang)Computational Fluid Dynamics Based on the Unified Coordinates — A Brief Review (W H Hui)Towards Green's Function Retrieval from Imperfectly Partitioned Ambient Wave Fields: Travel Times, Attenuations, Specific Intensities, and Scattering (R L Weaver)Study on Two Scale Design Optimization for Structure and Material with Periodic Microstructure (G D Cheng)Continuum Mechanical Theories:A Continuum Formulation of Lava Flows — From Fluid Ejection to Solid Deposition (K Hutter)Rigorous Mechanics and Elegant Mathematics on the Formulation of Constitutive Laws for Complex Materials: An Example from Biomechanics (V Mow)Professor Pao's Influence on Research in Coupled Field Problems, Chirality and Acoustic and Electromagnetic Metamaterials and their Applications (V V Varadan)Transient Response of an Elastic Half Space by a Moving Concentrated Torque (C-S Yeh)Magnetic Force Model for Magnetizable Elastic Body in the Magnetic Field (Z J Zheng)Wind Energy:Principles of Nonlinear Vibro-Wind Energy Conversion (F Moon) Readership: Researchers, professionals, and graduate students in applied mechanics, and mathematics, energy studies, solid & fluid mechanics, and complex systems. Keywords:Meta & Nano Mechanics;Numerics (Fluids and Solids);Contact Mechanics;Coupled Fields;Elastic Waves;Lava Gravity FlowsKey Features:Covers waves and dynamics in complex continuous systems with applications to modern engineering and environmental-geophysical processesPresents the topics with fundamental understanding of the foundations of mathematics and physicsPushes the presented subjects into forms allowing immediate transposition that are relevant to engineering and applied sciences

The electric field reaches this limit in the frame moving with the ray velocities. For this reason, having also in mind the entropy wave of continuum ...

Author: Guy Boillat

Publisher: Springer

ISBN: 9783540495659

Category: Mathematics

Page: 148

View: 251

These lecture notes of the courses presented at the first CIME session 1994 by leading scientists present the state of the art in recent mathematical methods in Nonlinear Wave Propagation.

... of non linear interfacial waves --- boundary value problems 11 p1242 N75-19563 Nonlinear theory for elastic shells as constrained continua --- boundary ...

Waves and rays in elastic continua, 3rd edn. (World Scientific). Slawinski, M. A. (2016). Waves and rays in seismology: Answers to unasked questions (World ...

Author: James Robert Brown

Publisher: World Scientific

ISBN: 9789813207028

Category: Science

Page: 184

View: 921

'I can wholeheartedly recommend this book students, researchers, college and university science professors, and readers of The Leading Edge. I also recommend it to all those who want to enrich their own experience of practicing and teaching science with some carefully considered soul searching on how it all fits together in the human story of ‘figuring things out’ … It is written throughout with precise and careful language: prudently paced, carefully crafted, eloquently enunciated, and playfully illuminated.'The Leading EdgeThis remarkable collaboration between a mathematical physicist and a science philosopher concerns foundational and conceptual issues in seismology. Their aim is to present mathematical, physical and philosophical topics in a clear and concise manner. They provide an extensive philosophical discussion of the methods of science and show how seismology fits in. They explain with care and precision the basic structure of seismology, which is built on classical continuum mechanics. Not only do they explain how various models work in seismology, they also include an extensive discussion of the nature of models and idealizations.

From 3rd international meeting on fundamental physics ; Sierra ( USA ) ) . ... CALCULATION OF THE PROTON MASS IN A LATTICE for the partial wave amplitudes .

Proceedings of the Third International Conference on High Energy Physics and ... have been done using true continuum wave functions in a finite well”).

Author: S. Devons

Publisher: Springer Science & Business Media

ISBN: 9781468418279

Category: Science

Page: 860

View: 904

In preparing the program for this Conference, the third in the series, it soon became evident that it was not possible to in clude in a conference of reasonable duration all the topics that might be subsumed under the broad title, "High Energy Physics and Nuclear Structure. " From their initiation, in 1963, it has been as much the aim of these Conferences to provide some bridges between the steadily separating domains of particle and nuclear physics, as to explore thoroughly the borderline territory between the two - the sort of no-man's-land that lies unclaimed, or claimed by both sides. The past few years have witnessed the rapid development of many new routes connecting the two major areas of 'elementary par ticles' and 'nuclear structure', and these now spread over a great expanse of physics, logically perhaps including the whole of both subjects. (As recently as 1954, an International Conference on 'Nuclear and Meson Physics' did, in fact, embrace both fields!) Since it is not now possible to traverse, in one Conference, this whole network of connections, still less to explore the entire ter ritory it covers, the choice of topics has to be in some degree arbitrary. It is hoped that ours has served the purpose of fairly exemplifying many areas where physicists, normally separated by their diverse interests, can find interesting and important topics which bring them together.

... 3rd ed. (Wiley, New York, 1966), Chapter 4. 4. I. H. Staudte and B. D. Cook, Visualization of quasilongitudinal and quasitransverse elastic waves, ].

Author: James P. Wolfe

Publisher: Cambridge University Press

ISBN: 0521022088

Category: Science

Page: 428

View: 927

A highly illustrated introduction to the physics of acoustic phonons - for researchers.

OF ACOUSTIC WAVES AND ELECTRIC CURRENTS IN SOLIDS PTION EDGE WITH APPLIED ELECTRIC ... USING NONGALVANIC MODIFYING RAYS OF TWETY OR FEWER ELEMENTS PRACTICAL ...

Exercises Exercise 10.1 °Formulate and solve equation (10.8) for isotropic continua. Solution 10.1 Since isotropy implies directional invariance, ...

Author: M.A. Slawinski

Publisher: Elsevier

ISBN: 9780080540894

Category: Science

Page: 424

View: 338

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.

Author: Christopher L. LinerPublish On: 2016-10-15

The first and third were 3D, and the third was prestack. ... Radiation patterns, attenuation, various elastic wave phenomena, anisotropy, multipathing, ...

Author: Christopher L. Liner

Publisher: SEG Books

ISBN: 9781560803379

Category: Science

Page: 362

View: 610

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).

Progressive wave expansions and open bo 96-18909 procedures for the evaluation of special education ... Scienti 96-19066 of the third annual conference .

Waves and Rays in Elastic Continua (3rd ed.), World Scientific: ISBN: 978-981-4641-75-3, pp. Slawinski, M.A. (2018) Waves and rays in seismology: Answers to ...

Author: Roger Borcherdt

Publisher: Cambridge University Press

ISBN: 9781108495691

Category: Science

Page: 450

View: 658

A rigorous self-contained exposition of the mathematical theory for wave propagation and general ray theory in layered viscoelastic media.

Un mathématicien aux prises avec le si`ecle (Editions Odile Jacob). ... Waves and rays in elastic continua, 3rd edn. (World Scientific).

Author: Andrej Bona

Publisher: World Scientific

ISBN: 9789811226489

Category: Science

Page: 356

View: 819

Characteristics and asymptotics of partial differential equations play an important role in mathematical physics since they lead to insightful solutions of complex problems that might not be solvable otherwise. They constitute, however, a difficult subject, and the purpose of this book, with its additions and refinements that led to its third edition, is to present this subject in an accessible manner, without decreasing the rigor. As any method, characteristics and asymptotics have their limitations. This important issue is addressed in the last chapter, where we discuss caustics, which must be understood in applications of the method, and which constitute a fertile ground for further mathematical research.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 senior undergraduate and graduate courses, as well as for independent studies. Six appendices are provided, which form a self-contained course on applied mathematics and can be used as a textbook on its own.

Author: United States. Energy Research and Development AdministrationPublish On: 1977

The effect of identification of the partial wave parameter of the J / sub z ... and integral cross sections for both elastic and inelastic collisions .

Author: United States. Energy Research and Development Administration

J. SUCHER, Continuum dissolution and the relativistic many-body problem: a ... X-ray elastic scattering factors for He—Ar from Dirac—Hartree–Fock wave ...

Author: Cisneros Gerardo

Publisher: World Scientific

ISBN: 9789814545808

Category: Chemical engineering -- Data processing -- Congresses

Page: 420

View: 377

This book provides a wide-ranging and up-to-date description of state-of-the-art computational methodologies in chemistry and chemical engineering. It displays a representative mix of topics on the computation and modeling of chemical systems of all sizes, from the very small (atomic) to the very large (industrial). The book constitutes an excellent overview for graduate students as well as a critical update for researchers.

Author: National Institute of Standards and Technology (U.S.)Publish On: 1982

At low temperature , linear spin wave theory adequately describes the excitation ... the RPA formalism is necessary to understand the observed inelastic ...

Author: National Institute of Standards and Technology (U.S.)

Waves and rays in elastic continua, 3rd ed., 619. World Scientific Publishing Co. Pte. Ltd. Song, F., N.R. Warpinski, and M.N. Toks ̈oz. 2014.

Author: Jubran Akram

Publisher: Springer Nature

ISBN: 9783030340179

Category: Science

Page: 196

View: 509

This book is designed as an excellent resource text for students and professionals, providing an in-depth overview of the theory and applications of downhole microseismic monitoring of hydraulic fracturing. The readers will benefit greatly from the detailed explanation on the processes and workflows involved in the acquisition design modeling, processing and interpretation of microseismic data.