Wave Fields in Real Media

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  • Publisher : Elsevier
  • Release : 24 January 2007
  • ISBN : 008046890X
  • Page : 538 pages
  • Rating : 4.5/5 from 2 voters

Wave Fields in Real Media Book PDF summary

This book examines the differences between an ideal and a real description of wave propagation, where ideal means an elastic (lossless), isotropic and single-phase medium, and real means an anelastic, anisotropic and multi-phase medium. The analysis starts by introducing the relevant stress-strain relation. This relation and the equations of momentum conservation are combined to give the equation of motion. The differential formulation is written in terms of memory variables, and Biot's theory is used to describe wave propagation in porous media. For each rheology, a plane-wave analysis is performed in order to understand the physics of wave propagation. The book contains a review of the main direct numerical methods for solving the equation of motion in the time and space domains. The emphasis is on geophysical applications for seismic exploration, but researchers in the fields of earthquake seismology, rock acoustics, and material science - including many branches of acoustics of fluids and solids - may also find this text useful. * Presents the fundamentals of wave propagation in anisotropic, anelastic and porus media * Contains a new chapter on the analogy between acoustic and electromagnetic waves, incorporating the subject of electromagnetic waves * Emphasizes geophysics, particularly, seismic exploration for hydrocarbon reservoirs, which is essential for exploration and production of oil

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Wave Fields in Real Media

Wave Fields in Real Media
  • Author : José M. Carcione
  • Publisher : Elsevier
  • Release Date : 2007-01-24
  • ISBN : 008046890X
DOWNLOAD BOOKWave Fields in Real Media

This book examines the differences between an ideal and a real description of wave propagation, where ideal means an elastic (lossless), isotropic and single-phase medium, and real means an anelastic, anisotropic and multi-phase medium. The analysis starts by introducing the relevant stress-strain relation. This relation and the equations of momentum conservation are combined to give the equation of motion. The differential formulation is written in terms of memory variables, and Biot's theory is used to describe wave propagation in porous

Wave Fields in Real Media

Wave Fields in Real Media
  • Author : José M. Carcione
  • Publisher : Elsevier
  • Release Date : 2022-08-23
  • ISBN : 9780323983594
DOWNLOAD BOOKWave Fields in Real Media

Wave Fields in Real Media: Wave Propagation in Anisotropic, Anelastic, Porous and Electromagnetic Media examines the differences between an ideal and a real description of wave propagation, starting with the introduction of relevant constitutive relations. The differential formulation can be written in terms of memory variables, and Biot theory is used to describe wave propagation in porous media. For each constitutive relation, a plane-wave analysis is performed to illustrate the physics of wave propagation. New topics are the S-wave amplification

Wave Fields in Real Media

Wave Fields in Real Media
  • Author : José M. Carcione
  • Publisher : Elsevier
  • Release Date : 2014-12-08
  • ISBN : 9780081000038
DOWNLOAD BOOKWave Fields in Real Media

Authored by the internationally renowned José M. Carcione, Wave Fields in Real Media: Wave Propagation in Anisotropic, Anelastic, Porous and Electromagnetic Media examines the differences between an ideal and a real description of wave propagation, starting with the introduction of relevant stress-strain relations. The combination of this relation and the equations of momentum conservation lead to the equation of motion. The differential formulation is written in terms of memory variables, and Biot's theory is used to describe wave propagation in

Acoustic and Elastic Wave Fields in Geophysics

Acoustic and Elastic Wave Fields in Geophysics
  • Author : Alexander A. Kaufman,Anatoli L. Levshin
  • Publisher : Elsevier
  • Release Date : 2005
  • ISBN : 9780080457680
DOWNLOAD BOOKAcoustic and Elastic Wave Fields in Geophysics

This monograph is the last volume in the series ''Acoustic and Elastic Wave Fields in Geophysics''. The previous two volumes published by Elsevier (2000, 2002) dealt mostly with wave propagation in liquid media. The third volume is dedicated to propagation of plane, spherical and cylindrical elastic waves in different media including isotropic and transversely isotropic solids, liquid-solid models, and media with cylindrical inclusions (boreholes). * Prevalence of physical reasoning on formal mathematical derivations * Readers do not need to have a strong background in

The Topology of 4-Manifolds

The Topology of 4-Manifolds
  • Author : Robion C. Kirby
  • Publisher : Springer
  • Release Date : 2006-11-14
  • ISBN : 9783540461715
DOWNLOAD BOOKThe Topology of 4-Manifolds

This book presents the classical theorems about simply connected smooth 4-manifolds: intersection forms and homotopy type, oriented and spin bordism, the index theorem, Wall's diffeomorphisms and h-cobordism, and Rohlin's theorem. Most of the proofs are new or are returbishings of post proofs; all are geometric and make us of handlebody theory. There is a new proof of Rohlin's theorem using spin structures. There is an introduction to Casson handles and Freedman's work including a chapter of unpublished proofs on exotic

Diffusion-Wave Fields

Diffusion-Wave Fields
  • Author : Andreas Mandelis
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-03-09
  • ISBN : 9781475735482
DOWNLOAD BOOKDiffusion-Wave Fields

Develops a unified mathematical framework for treating a wide variety of diffusion-related periodic phenomena in such areas as heat transfer, electrical conduction, and light scattering. Deriving and using Green functions in one and higher dimensions to provide a unified approach, the author develops the properties of diffusion-wave fields first for the well-studied case of thermal-wave fields and then applies the methods to nonthermal fields.

Caustics, Catastrophes and Wave Fields

Caustics, Catastrophes and Wave Fields
  • Author : Yu.A. Kravtsov,Yu.I. Orlov
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • ISBN : 9783642598876
DOWNLOAD BOOKCaustics, Catastrophes and Wave Fields

Caustics, Catastrophes and Wave Fields in a sense continues the treatment of the earlier volume 6 "Geometrical Optics of Inhomogeneous Media" in the present book series, by analysing caustics and their fields on the basis of modern catastrophe theory. This volume covers the key generalisations of geometrical optics related to caustic asymptotic expansions: The Lewis-Kravtsov method of standard functions, Maslov's method of caonical operators, Orlov's method of interference integrals, as well as their modifications for penumbra, space-time, random and other types

Seismic Wave Propagation in Stratified Media

Seismic Wave Propagation in Stratified Media
  • Author : Brian Kennett
  • Publisher : ANU E Press
  • Release Date : 2009-05-01
  • ISBN : 9781921536731
DOWNLOAD BOOKSeismic Wave Propagation in Stratified Media

Seismic Wave Propagation in Stratified Media presents a systematic treatment of the interaction of seismic waves with Earth structure. The theoretical development is physically based and is closely tied to the nature of the seismograms observed across a wide range of distance scales - from a few kilometres as in shallow reflection work for geophysical prospecting, to many thousands of kilometres for major earthquakes. A unified framework is presented for all classes of seismic phenomena, for both body waves and