# Wave Fields in Real Media

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## Wave Fields in Real Media

Author | : José M. Carcione |

Publsiher | : Elsevier |

Total Pages | : 690 |

Release | : 2014-12-08 |

ISBN 10 | : 0081000030 |

ISBN 13 | : 9780081000038 |

Language | : EN, FR, DE, ES & NL |

**Wave Fields in Real Media Book Review:**

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 porous media. For each rheology, a plane-wave analysis is performed in order to understand the physics of wave propagation. This 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. New to this edition: This new edition presents the fundamentals of wave propagation in Anisotropic, Anelastic, Porous Media while also incorporating the latest research from the past 7 years, including that of the author. The author presents all the equations and concepts necessary to understand the physics of wave propagation. These equations form the basis for modeling and inversion of seismic and electromagnetic data. Additionally, demonstrations are given, so the book can be used to teach post-graduate courses. Addition of new and revised content is approximately 30%. Examines the fundamentals of wave propagation in anisotropic, anelastic and porous media Presents all equations and concepts necessary to understand the physics of wave propagation, with examples Emphasizes geophysics, particularly, seismic exploration for hydrocarbon reservoirs, which is essential for exploration and production of oil

## Wave Fields in Real Media

Author | : José M. Carcione |

Publsiher | : Elsevier |

Total Pages | : 414 |

Release | : 2001-10-15 |

ISBN 10 | : 9780080543710 |

ISBN 13 | : 0080543715 |

Language | : EN, FR, DE, ES & NL |

**Wave Fields in Real Media Book Review:**

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.

## Wave Fields in Real Media

Author | : José M. Carcione |

Publsiher | : Elsevier |

Total Pages | : 538 |

Release | : 2007-01-24 |

ISBN 10 | : 9780080468907 |

ISBN 13 | : 008046890X |

Language | : EN, FR, DE, ES & NL |

**Wave Fields in Real Media Book Review:**

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

## Seismic Waves and Rays in Elastic Media

Author | : Michael A. Slawinski |

Publsiher | : Elsevier |

Total Pages | : 401 |

Release | : 2003 |

ISBN 10 | : 9780080439303 |

ISBN 13 | : 0080439306 |

Language | : EN, FR, DE, ES & NL |

**Seismic Waves and Rays in Elastic Media Book Review:**

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.

## Caustics Catastrophes and Wave Fields

Author | : Yu.A. Kravtsov,Yu.I. Orlov |

Publsiher | : Springer Science & Business Media |

Total Pages | : 216 |

Release | : 2012-12-06 |

ISBN 10 | : 3642598870 |

ISBN 13 | : 9783642598876 |

Language | : EN, FR, DE, ES & NL |

**Caustics Catastrophes and Wave Fields Book Review:**

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 of caustics. All the methods are amply illustrated by worked problems concerning relevant wave-field applications.

## Acoustic and Elastic Wave Fields in Geophysics

Author | : Alexander A. Kaufman,Anatoli L. Levshin |

Publsiher | : Elsevier |

Total Pages | : 669 |

Release | : 2005 |

ISBN 10 | : 0080457681 |

ISBN 13 | : 9780080457680 |

Language | : EN, FR, DE, ES & NL |

**Acoustic and Elastic Wave Fields in Geophysics Book Review:**

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 mathematics and mathematical physics * Detailed analysis of wave phenomena in various types of elastic and liquid-elastic media

## Izvestiya Academy of Sciences USSR

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 329 |

Release | : 1986 |

ISBN 10 | : |

ISBN 13 | : STANFORD:36105001210363 |

Language | : EN, FR, DE, ES & NL |

**Izvestiya Academy of Sciences USSR Book Review:**

## Waves and Rays in Elastic Continua

Author | : Michael A. Slawinski |

Publsiher | : World Scientific |

Total Pages | : 583 |

Release | : 2010 |

ISBN 10 | : 9814289000 |

ISBN 13 | : 9789814289009 |

Language | : EN, FR, DE, ES & NL |

**Waves and Rays in Elastic Continua Book Review:**

This is the second edition of the textbook that was first published by Elsevier Science. Professor Slawinski has the copyright to the textbook and the second edition is significantly extended. The present book 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 Part 1, 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 Part 2, 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 use the high-frequency approximation and, hence, establish the concept of a ray. In Part 3, 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 Part 4, 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.

## Seismic Inversion

Author | : Gerard T. Schuster |

Publsiher | : SEG Books |

Total Pages | : 376 |

Release | : 2017-07-01 |

ISBN 10 | : 156080341X |

ISBN 13 | : 9781560803416 |

Language | : EN, FR, DE, ES & NL |

**Seismic Inversion Book Review:**

This book describes the theory and practice of inverting seismic data for the subsurface rock properties of the earth. The primary application is for inverting reflection and/or transmission data from engineering or exploration surveys, but the methods described also can be used for earthquake studies. Seismic Inversion will be of benefit to scientists and advanced students in engineering, earth sciences, and physics. It is desirable that the reader has some familiarity with certain aspects of numerical computation, such as finite-difference solutions to partial differential equations, numerical linear algebra, and the basic physics of wave propagation. For those not familiar with the terminology and methods of seismic exploration, a brief introduction is provided. To truly understand the nuances of seismic inversion, we have to actively practice what we preach (or teach). Therefore, computational labs are provided for most of the chapters, and some field data labs are given as well.

## Information Based Inversion and Processing with Applications

Author | : T.J. Ulrych,M.D. Sacchi |

Publsiher | : Elsevier |

Total Pages | : 436 |

Release | : 2005-12-16 |

ISBN 10 | : 9780080461342 |

ISBN 13 | : 0080461344 |

Language | : EN, FR, DE, ES & NL |

**Information Based Inversion and Processing with Applications Book Review:**

Information-Based Inversion and Processing with Applications examines different classical and modern aspects of geophysical data processing and inversion with emphasis on the processing of seismic records in applied seismology. Chapter 1 introduces basic concepts including: probability theory (expectation operator and ensemble statistics), elementary principles of parameter estimation, Fourier and z-transform essentials, and issues of orthogonality. In Chapter 2, the linear treatment of time series is provided. Particular attention is paid to Wold decomposition theorem and time series models (AR, MA, and ARMA) and their connection to seismic data analysis problems. Chapter 3 introduces concepts of Information theory and contains a synopsis of those topics that are used throughout the book. Examples are entropy, conditional entropy, Burg's maximum entropy spectral estimator, and mutual information. Chapter 4 provides a description of inverse problems first from a deterministic point of view, then from a probabilistic one. Chapter 5 deals with methods to improve the signal-to-noise ratio of seismic records. Concepts from previous chapters are put in practice for designing prediction error filters for noise attenuation and high-resolution Radon operators. Chapter 6 deals with the topic of deconvolution and the inversion of acoustic impedance. The first part discusses band-limited extrapolation assuming a known wavelet and considers the issue of wavelet estimation. The second part deals with sparse deconvolution using various 'entropy' type norms. Finally, Chapter 7 introduces recent topics of interest to the authors. The emphasis of this book is on applied seismology but researchers in the area of global seismology, and geophysical signal processing and inversion will find material that is relevant to the ubiquitous problem of estimating complex models from a limited number of noisy observations. Non-conventional approaches to data processing and inversion are presented Important problems in the area of seismic resolution enhancement are discussed Contains research material that could inspire graduate students and their supervisors to undertake new research directions in applied seismology and geophysical signal processing

## Seismoelectric Exploration

Author | : Niels Grobbe,André Revil,Zhenya Zhu,Evert Slob |

Publsiher | : John Wiley & Sons |

Total Pages | : 496 |

Release | : 2020-10-14 |

ISBN 10 | : 1119127394 |

ISBN 13 | : 9781119127390 |

Language | : EN, FR, DE, ES & NL |

**Seismoelectric Exploration Book Review:**

Seismoelectric coupling and its current and potential future applications The seismoelectric method—the naturally-occurring coupling of seismic waves to electromagnetic fields—can provide insight into important properties of porous media. With a variety of potential environmental and engineering uses, as well as larger scale applications such as earthquake detection and oil and gas exploration, it offers a number of advantages over conventional geophysical methods. Seismoelectric Exploration: Theory, Experiments, and Applications explores the coupling between poroelastic and electromagnetic disturbances, discussing laboratory experiments, numerical modeling techniques, recent theoretical developments, and field studies. Volume highlights include: Physics of the seismoelectric effect at the microscale Governing equations describing coupled seismo-electromagnetic fields Examples of successful seismoelectric field experiments in different geological settings Current and potential applications of seismoelectric coupling Noise removal techniques for seismoelectric field measurements The American Geophysical Union promotes discovery in Earth and space science for the benefit of humanity. Its publications disseminate scientific knowledge and provide resources for researchers, students, and professionals.

## Multi component VSP Analysis for Applied Seismic Anisotropy

Author | : Colin MacBeth |

Publsiher | : Elsevier |

Total Pages | : 356 |

Release | : 2002 |

ISBN 10 | : 9780080424392 |

ISBN 13 | : 0080424392 |

Language | : EN, FR, DE, ES & NL |

**Multi component VSP Analysis for Applied Seismic Anisotropy Book Review:**

The vertical seismic profile, acquired with an array of 3C receivers and either a single source or several arranged in a multi-component configuration, provides an ideal high fidelity calibration tool for seismic projects involved in the application of seismic anisotropy. This book catalogues the majority of specialized tools necessary to work with P-P, P-S and S-S data from such VSP surveys at the acquisition design, processing and interpretation stages. In particular, it discusses 3C, 4C, 6C and 9C VSP, marine and land surveys with near and multiple offsets (walkways), azimuths (walkarounds) or a combination of both. These are considered for TIH or TIV flavours of seismic anisotropy arising from cracks, fractures, sedimentary layering, and shales. The anisotropic adaptation of familiar seismic methods for velocity analysis and inversion, reflected amplitude interpretation, are given together with more multi-component specific algorithms based upon the principles dictated by the vector convolutional model. Thus, multi-component methods are described that provide tests and compensation for source or receiver vector fidelity, tool rotation correction, layer stripping, near-surface correction, wavefield separation, and the Alford rotation with its variants. The work will be of interest to geophysicists involved in research or the application of seismic anisotropy using multi-component seismic.

## Elastic Wave Field Extrapolation

Author | : C.P.A. Wapenaar |

Publsiher | : Elsevier |

Total Pages | : 485 |

Release | : 2014-04-14 |

ISBN 10 | : 1483291006 |

ISBN 13 | : 9781483291000 |

Language | : EN, FR, DE, ES & NL |

**Elastic Wave Field Extrapolation Book Review:**

Extrapolation of seismic waves from the earth's surface to any level in the subsurface plays an essential role in many advanced seismic processing schemes, such as migration, inverse scattering and redatuming. At present these schemes are based on the acoustic wave equation. This means not only that S-waves (shear waves) are ignored, but also that P-waves (compressional waves) are not handled correctly. In the seismic industry there is an important trend towards multi-component data acquisition. For processing of multi-component seismic data, ignoring S-waves can no longer be justified. Wave field extrapolation should therefore be based on the full elastic wave equation. In this book the authors review acoustic one-way extrapolation of P-waves and introduce elastic one-way extrapolation of P- and S-waves. They demonstrate that elastic extrapolation of multi-component data, decomposed into P- and S-waves, is essentially equivalent to acoustic extrapolation of P-waves. This has the important practical consequence that elastic processing of multi-component seismic data need not be significantly more complicated than acoustic processing of single-component seismic data. This is demonstrated in the final chapters, which deal with the application of wave field extrapolation in the redatuming process of single- and multi-component seismic data. Geophysicists, and anyone who is interested in a review of acoustic and elastic wave theory, will find this book useful. It is also a suitable textbook for graduate students and those following courses in elastic wave field extrapolation as each subject is introduced in a relatively simple manner using the scalar acoustic wave equation. In the chapters on elastic wave field extrapolation the formulation, whenever possible, is analogous to that used in the chapters on acoustic wave field extrapolation. The text is illustrated throughout and a bibliography and keyword index are provided.

## Acoustics of Porous Media

Author | : Thierry Bourbié,Olivier Coussy,Bernard Zinszner |

Publsiher | : Editions TECHNIP |

Total Pages | : 334 |

Release | : 1987 |

ISBN 10 | : 9782710805168 |

ISBN 13 | : 2710805162 |

Language | : EN, FR, DE, ES & NL |

**Acoustics of Porous Media Book Review:**

## Geophysics Today

Author | : Anonim |

Publsiher | : SEG Books |

Total Pages | : 530 |

Release | : 2010 |

ISBN 10 | : 156080226X |

ISBN 13 | : 9781560802266 |

Language | : EN, FR, DE, ES & NL |

**Geophysics Today Book Review:**

## Wave Propagation in Layered Anisotropic Media

Author | : A.H. Nayfeh |

Publsiher | : Elsevier |

Total Pages | : 331 |

Release | : 1995-09-27 |

ISBN 10 | : 9780080543734 |

ISBN 13 | : 0080543731 |

Language | : EN, FR, DE, ES & NL |

**Wave Propagation in Layered Anisotropic Media Book Review:**

Recent advances in the study of the dynamic behavior of layered materials in general, and laminated fibrous composites in particular, are presented in this book. The need to understand the microstructural behavior of such classes of materials has brought a new challenge to existing analytical tools. This book explores the fundamental question of how mechanical waves propagate and interact with layered anisotropic media. The chapters are organized in a logical sequence depending upon the complexity of the physical model and its mathematical treatment.

## Wave Propagation in Laterally Varying Media A Model Expansion Method

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 41 |

Release | : 1991 |

ISBN 10 | : |

ISBN 13 | : OCLC:227778356 |

Language | : EN, FR, DE, ES & NL |

**Wave Propagation in Laterally Varying Media A Model Expansion Method Book Review:**

A general approach, using modes defined on subregions of the medium, has been developed to model seismic wave propagation in media with vertically and horizontally acoustic waves in fluid media and electromagnetic wave propagation in laterally varying media. The restriction on the medium variability is that it can be represented by step function variations in its properties in both the vertical and horizontal directions. The basic method makes use of normal mode expansion of the wave field in each partitioned sub- region of the medium within which the medium is uniform in the lateral directions. Thus the medium is partitioned into laterally uniform zones and complete normal mode solutions are obtained for each horizontally layered zone. In the analytical development the zonal eigenvalues and eigenfunctions are generated by treating each zone as a layered half space or radially layered sphere, as is appropriate for medium geometry. The resulting set of modes are then used as a basis for expansions of the wave fields in the layered subregions. The modes are then used as bases for expansions of the wave fields in each zone at the common boundaries between the zones where continuity of displacement and traction is required. This results in the definition of a lateral propagator of the wave field when applied to all the zones making up the entire medium and is, in application, very similar to the classical vertical propagator method. This method is exact when the lateral variations are actually discontinuous step changes in properties. When the actual changes can be approximated as a sequence of steps, the method should be superior in computational accuracy and speed to numerical methods.

## Electromagnetic Wave Propagation Radiation and Scattering

Author | : Akira Ishimaru |

Publsiher | : John Wiley & Sons |

Total Pages | : 968 |

Release | : 2017-08-09 |

ISBN 10 | : 1119079535 |

ISBN 13 | : 9781119079538 |

Language | : EN, FR, DE, ES & NL |

**Electromagnetic Wave Propagation Radiation and Scattering Book Review:**

One of the most methodical treatments of electromagnetic wave propagation, radiation, and scattering—including new applications and ideas Presented in two parts, this book takes an analytical approach on the subject and emphasizes new ideas and applications used today. Part one covers fundamentals of electromagnetic wave propagation, radiation, and scattering. It provides ample end-of-chapter problems and offers a 90-page solution manual to help readers check and comprehend their work. The second part of the book explores up-to-date applications of electromagnetic waves—including radiometry, geophysical remote sensing and imaging, and biomedical and signal processing applications. Written by a world renowned authority in the field of electromagnetic research, this new edition of Electromagnetic Wave Propagation, Radiation, and Scattering: From Fundamentals to Applications presents detailed applications with useful appendices, including mathematical formulas, Airy function, Abel’s equation, Hilbert transform, and Riemann surfaces. The book also features newly revised material that focuses on the following topics: Statistical wave theories—which have been extensively applied to topics such as geophysical remote sensing, bio-electromagnetics, bio-optics, and bio-ultrasound imaging Integration of several distinct yet related disciplines, such as statistical wave theories, communications, signal processing, and time reversal imaging New phenomena of multiple scattering, such as coherent scattering and memory effects Multiphysics applications that combine theories for different physical phenomena, such as seismic coda waves, stochastic wave theory, heat diffusion, and temperature rise in biological and other media Metamaterials and solitons in optical fibers, nonlinear phenomena, and porous media Primarily a textbook for graduate courses in electrical engineering, Electromagnetic Wave Propagation, Radiation, and Scattering is also ideal for graduate students in bioengineering, geophysics, ocean engineering, and geophysical remote sensing. The book is also a useful reference for engineers and scientists working in fields such as geophysical remote sensing, bio–medical engineering in optics and ultrasound, and new materials and integration with signal processing.

## Seismic Wave Propagation in Stratified Media

Author | : Brian Kennett |

Publsiher | : ANU E Press |

Total Pages | : 288 |

Release | : 2009-05-01 |

ISBN 10 | : 192153673X |

ISBN 13 | : 9781921536731 |

Language | : EN, FR, DE, ES & NL |

**Seismic Wave Propagation in Stratified Media Book Review:**

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 surface waves. Since its first publication in 1983 this book has been an important resource for understanding the way in which seismic waves can be understood in terms of reflection and transmission properties of Earth models, and how complete theoretical seismograms can be calculated. The methods allow the development of specific approximations that allow concentration on different seismic arrivals and hence provide a direct tie to seismic observations.