Elastic Waves in Random Media

Elastic Waves in Random Media PDF Author: Serge A. Shapiro
Publisher: Springer
ISBN: 9783662176054
Category : Science
Languages : en
Pages : 191

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Book Description
This book treats various generalizations of the classical O'Doherty-Anstey formula in order to describe stratigraphic filtering effects. These are the effects that can be observed when elastic and electromagnetic waves propagate through multilayered structures. Our aim was to treat this topic in a comprehensive manner and present compact results in a didactically simple way, emphasizing the physics of the wave-propagation phenomena. We do not claim mathematical rigidity in all our derivations, however, we are pleased to have obtained quite simple descriptions of scattering, transmission and reflection of wavefields in acoustic, elastic, and poroelastic media which can be useful for various seismological and non-seismological applications.

Elastic Waves in Random Media

Elastic Waves in Random Media PDF Author: Serge A. Shapiro
Publisher: Springer
ISBN: 9783662176054
Category : Science
Languages : en
Pages : 191

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Book Description
This book treats various generalizations of the classical O'Doherty-Anstey formula in order to describe stratigraphic filtering effects. These are the effects that can be observed when elastic and electromagnetic waves propagate through multilayered structures. Our aim was to treat this topic in a comprehensive manner and present compact results in a didactically simple way, emphasizing the physics of the wave-propagation phenomena. We do not claim mathematical rigidity in all our derivations, however, we are pleased to have obtained quite simple descriptions of scattering, transmission and reflection of wavefields in acoustic, elastic, and poroelastic media which can be useful for various seismological and non-seismological applications.

Scattering and Localization of Classical Waves in Random Media

Scattering and Localization of Classical Waves in Random Media PDF Author: Ping Sheng
Publisher: World Scientific
ISBN: 9789971505394
Category : Science
Languages : en
Pages : 660

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Book Description
The past decade has witnessed breakthroughs in the understanding of the wave localization phenomena and its implications for wave multiple scattering in inhomogeneous media. This book brings together review articles written by noted researchers in this field in a tutorial manner so as to give the readers a coherent picture of its status. It would be valuable both as an up-to-date reference for active researchers as well as a readable source for students looking to gain an understanding of the latest results.

Random Media

Random Media PDF Author: George Papanicolaou
Publisher: Springer Science & Business Media
ISBN: 1461387256
Category : Mathematics
Languages : en
Pages : 322

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Book Description
This IMA Volume in Mathematics and its Applications RANDOM MEDIA represents the proceedings of a workshop which was an integral part of the 1984-85 IMA program on STOCHASTIC DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS We are grateful to the Scientific Committee: Daniel Stroock (Chairman) \~ende 11 Fl emi ng Theodore Harris Pierre-Louis Lions Steven Orey George Papanicolaou for planning and implementing an exciting and stimulating year-long program. We especi ally thank George Papani col aOIJ for organi zi ng a workshop which produced fruitful interactions between mathematicians and scientists from both academia and industry. George R. Sell Hans I~ei nherger PREFACE During September 1985 a workshop on random media was held at the Institute for Mathematics and its Applications at the University of Minnesota. This was part of the program for the year on Probability and Stochastic Processes at IMA. The main objective of the workshop was to bring together researchers who work in a broad area including applications and mathematical methodology. The papers in this volume give an idea of what went on and they also represent a cross section of problems and methods that are currently of interest.

Multiple Scattering of Waves in Random Media and Random Rough Surfaces

Multiple Scattering of Waves in Random Media and Random Rough Surfaces PDF Author: V. V. Varadan
Publisher: Technomic Publishing Company
ISBN:
Category : Science
Languages : en
Pages : 974

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Book Description


Seismic Wave Propagation and Scattering in the Heterogenous Earth

Seismic Wave Propagation and Scattering in the Heterogenous Earth PDF Author: Haruo Sato
Publisher: Springer Science & Business Media
ISBN: 3540896236
Category : Science
Languages : en
Pages : 308

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Book Description
Seismic waves – generated both by natural earthquakes and by man-made sources – have produced an enormous amount of information about the Earth's interior. In classical seismology, the Earth is modeled as a sequence of uniform horizontal layers (or sperical shells) having different elastic properties and one determines these properties from travel times and dispersion of seismic waves. The Earth, however, is not made of horizontally uniform layers, and classic seismic methods can take large-scale inhomogeneities into account. Smaller-scale irregularities, on the other hand, require other methods. Observations of continuous wave trains that follow classic direct S waves, known as coda waves, have shown that there are heterogeneities of random size scattered randomly throughout the layers of the classic seismic model. This book focuses on recent developments in the area of seismic wave propagation and scattering through the randomly heterogeneous structure of the Earth, with emphasis on the lithosphere. The presentation combines information from many sources to present a coherent introduction to the theory of scattering in acoustic and elastic materials and includes analyses of observations using the theoretical methods developed.

Introduction to Wave Scattering, Localization and Mesoscopic Phenomena

Introduction to Wave Scattering, Localization and Mesoscopic Phenomena PDF Author: Ping Sheng
Publisher: Springer Science & Business Media
ISBN: 3540291563
Category : Science
Languages : en
Pages : 341

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Book Description
Waves represent an important topic of study in physics, mathematics, and engineering. This volume is a resource book for those interested in understanding the physics underlying nanotechnology and mesoscopic phenomena. It aims to bridge the gap between the textbooks and research frontiers in wave related topics.

Elastic Wave Propagation

Elastic Wave Propagation PDF Author: F. McCarthy
Publisher: Elsevier
ISBN: 1483290662
Category : Technology & Engineering
Languages : en
Pages : 663

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Book Description
This volume contains a timely collection of research papers on the latest developments in the ever-increasing use of elastic waves in a variety of contexts. There are reports on wave-propagation in various types of media: in both isotropic and anisotropic bodies; in homogeneous and inhomogeneous media; in media with cracks or inclusions in random media; and in layered composites.The bulk of the papers are concerned with propagation in elastic media, but also included are viscoelastic, thermoelastic and magneto-electroelastic wave propagation, as well as waves in porous and piezo-electric bodies. Consideration is given to propagation in bodies as diverse as stretched elastic strings to surfaces such as thin walled cylinders, and thin films under stress. Applications considered include the determination of the depth of cracks; analysis of ground motions generated by a finite fault in seismology; surface wave spreading on piezo-electric solids; and dynamical stress intensity factors. Most of the papers are theoretical in nature, and many are complemented by numerical studies. Also included are a general survey on experimental techniques, and reports on experimental work.The volume will be of interest to those who do theoretical studies of elastic wave propagation and to those who apply elastic waves whether in seismology, non-destructive testing, the fabrication of devices or underwater acoustics, etc.

Surface Acoustic Waves in Inhomogeneous Media

Surface Acoustic Waves in Inhomogeneous Media PDF Author: Sergey V. Biryukov
Publisher: Springer Science & Business Media
ISBN: 3642577679
Category : Science
Languages : en
Pages : 398

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Book Description
Surface Acoustic Waves in Inhomogeneous Media covers almost all important problems of the interaction of different types of surface acoustic waves with surface inhomogeneities. The problems of surface acoustic wave interaction with periodic topographic gratings widely used in filters and resonators are under careful consideration. The most important results of surface wave scattering by local defects such as grooves, random roughness, elastic wedges are given. Different theoretical approaches and practical rules for solving the surface wave problems are presented.

Linear Elastic Waves

Linear Elastic Waves PDF Author: John G. Harris
Publisher: Cambridge University Press
ISBN: 9780521643832
Category : Mathematics
Languages : en
Pages : 184

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Book Description
An advanced level textbook on wave propagation and scattering directed at applied mathematicians, seismologists, and engineers.

Theory of Wave Scattering From Random Rough Surfaces,

Theory of Wave Scattering From Random Rough Surfaces, PDF Author: J. A. Ogilvy
Publisher: CRC Press
ISBN:
Category : Art
Languages : en
Pages : 300

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Book Description
A review of theories developed for the study of acoustic, elastic and electromagnetic wave scattering from randomly rough surfaces, and a comprehensive summary of the latest techniques. Different theories are illustrated by experimental data.With applications in radar, sonar, ultrasonics and optics this book will be invaluable to graduate students, researchers and engineers.