Download or read book Viscoelastic Waves in Layered Media written by Roger D. Borcherdt and published by Cambridge University Press. This book was released on 2009-05-14 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a rigorous, self-contained exposition of the mathematical theory for wave propagation in layered media with arbitrary amounts of intrinsic absorption. The theory, previously not published in a book, provides solutions for fundamental wave-propagation problems in the general context of any media with a linear response, elastic or anelastic. It reveals physical characteristics for two-and three-dimensional anelastic body and surface waves, not predicted by commonly used models based on elasticity or one-dimensional anelasticity. It explains observed wave characteristics not explained by previous theories. This book may be used as a textbook for graduate-level courses and as a research reference in a variety of fields such as solid mechanics, seismology, civil and mechanical engineering, exploration geophysics, and acoustics. The theory and numerical results allow the classic subject of fundamental elastic wave propagation to be taught in the broader context of waves in any media with a linear response, without undue complications in the mathematics. They provide the basis to improve a variety of anelastic wave propagation models, including those for the Earth's interior, metal impurities, petroleum reserves, polymers, soils, and ocean acoustics. The numerical examples and problems sets facilitate understanding by emphasizing important aspects of the theory for each chapter. Book jacket.
Download or read book Viscoelastic Waves in Layered Media written by and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to explain the mathematical theory and corresponding numerical results for wave propagation in layered media with arbitrary amounts of intrinsic absorption. It provides fundamental problem-solving tools, including numerical example.
Download or read book Viscoelastic Waves in Layered Media written by Roger D. Borcherdt and published by Cambridge University Press. This book was released on 2009-05-14 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a rigorous, self-contained exposition of the mathematical theory for wave propagation in layered media with arbitrary amounts of intrinsic absorption. The theory, previously unpublished in book form, provides solutions for fundamental wave-propagation problems and corresponding numerical results in the context of any media with a linear response (elastic or anelastic). It provides new insights regarding the physical characteristics for two- and three-dimensional anelastic body and surface waves. The book is an excellent graduate-level textbook. It permits fundamental elastic wave propagation to be taught in the broader context of wave propagation in any media with a linear response. The book is also a valuable reference text. It provides tools for solving problems in seismology, geotechnical engineering, exploration geophysics, solid mechanics, and acoustics. The numerical examples and problem sets facilitate understanding by emphasizing important aspects of both the theory and the numerical results.
Download or read book Viscoelastic Waves and Rays in Layered Media written by Roger D. Borcherdt and published by Cambridge University Press. This book was released on 2020-10-22 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition extends the rigorous, self-contained exposition of the theory for viscoelastic wave propagation in layered media to include head waves and general ray theory. The theory, not published elsewhere, provides solutions for fundamental wave-propagation and ray-theory problems valid for any media with a linear response, elastic or anelastic. It explains measurable variations in wave speed, particle motion, and attenuation of body waves, surface waves, and head waves induced at anelastic material boundaries that do not occur for elastic waves. This book may be used as a textbook for advanced university courses and as a research reference in seismology, exploration geophysics, engineering, solid mechanics, and acoustics. It provides computation steps for ray-tracing computer algorithms to develop a variety of tomography inferred anelastic models, such as those for the Earth's deep interior and petroleum reserves. Numerical results and problem sets emphasize important aspects of the theory for each chapter.
Download or read book Waves in Layered Media written by L Brekhovskikh and published by Elsevier. This book was released on 2012-12-02 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Waves in Layered Media discusses different theories about the relationship between waves and media. The book specifically covers several factors that can affect the behavior and formation of various kinds of waves in different types of media. Comprised of nine chapters, the book establishes the fundamentals by first tackling simplest concepts, such as the behavior plane wave and discretely layered media. The succeeding chapters cover much more complex ideas, such as the refraction and reflection of waves, spherical wave, and wave in inhomogeneous media. The book will be a great asset to researchers whose work involves acoustics, or to professionals whose line of work involves sound waves.
Download or read book Wave Propagation in Viscoelastic Media written by Francesco Mainardi and published by Pitman Advanced Publishing Program. This book was released on 1982 with total page 1022 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Theory of Viscoelastic Analogy for Wave Propagation in Elastic and Viscoelastic Layered Media written by Isao Mukunoki and published by . This book was released on 1979 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Wave Fields in Real Media written by José M. Carcione and published by Elsevier Science. This book was released on 2018-11-13 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book On wave propagation in layered anisotropic viscoelastic media written by Ved P. Madan and published by . This book was released on 1993 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Ultrasonic Guided Waves in Solid Media written by Joseph L. Rose and published by Cambridge University Press. This book was released on 2014-08-11 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ultrasonic guided waves in solid media have become a critically important subject in nondestructive testing and structural health monitoring, as new faster, more sensitive, and more economical ways of looking at materials and structures have become possible. This book will lead to fresh creative ideas for use in new inspection procedures. Although the mathematics is sometimes sophisticated, the book can also be read by managers without detailed understanding of the concepts as it can be read from a 'black box' point of view. Overall, the material presented on wave mechanics - in particular, guided wave mechanics - establishes a framework for the creative data collection and signal processing needed to solve many problems using ultrasonic nondestructive evaluation and structural health monitoring. The book can be used as a reference in ultrasonic nondestructive evaluation by professionals and as a textbook for seniors and graduate students. This work extends the coverage of Rose's earlier book Ultrasonic Waves in Solid Media.
Download or read book Wave Propagation in Viscoelastic and Poroelastic Continua written by Martin Schanz and published by Springer Science & Business Media. This book was released on 2012-11-27 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wave propagation is an important topic in engineering sciences, especially, in the field of solid mechanics. A description of wave propagation phenomena is given by Graff [98]: The effect of a sharply applied, localized disturbance in a medium soon transmits or 'spreads' to other parts of the medium. These effects are familiar to everyone, e.g., transmission of sound in air, the spreading of ripples on a pond of water, or the transmission of radio waves. From all wave types in nature, here, attention is focused only on waves in solids. Thus, solely mechanical disturbances in contrast to electro-magnetic or acoustic disturbances are considered. of waves - the compression wave similar to the In solids, there are two types pressure wave in fluids and, additionally, the shear wave. Due to continual reflec tions at boundaries and propagation of waves in bounded solids after some time a steady state is reached. Depending on the influence of the inertia terms, this state is governed by a static or dynamic equilibrium in frequency domain. However, if the rate of onset of the load is high compared to the time needed to reach this steady state, wave propagation phenomena have to be considered.
Download or read book Waves in Layered Media written by Leonid Maksimovich Brekhovskikh and published by . This book was released on 1960 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Wave Fields in Real Media written by José M. Carcione and published by Elsevier. This book was released on 2014-12-08 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book A Theory of Viscoelastic Analogy for Wave Propagation Normal to the Layering of a Layered Medium written by T. C. T. Ting and published by . This book was released on 1978 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Wave Propagation in Elastic Solids written by J. D. Achenbach and published by Elsevier. This book was released on 2016-01-21 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wave Propagation in Elastic Solids focuses on linearized theory and perfectly elastic media. This book discusses the one-dimensional motion of an elastic continuum; linearized theory of elasticity; elastodynamic theory; and elastic waves in an unbounded medium. The plane harmonic waves in elastic half-spaces; harmonic waves in waveguides; and forced motions of a half-space are also elaborated. This text likewise covers the transient waves in layers and rods; diffraction of waves by a slit; and thermal and viscoelastic effects, and effects of anisotropy and nonlinearity. Other topics include the summary of equations in rectangular coordinates, time-harmonic plane waves, approximate theories for rods, and transient in-plane motion of a layer. This publication is a good source for students and researchers conducting work on the wave propagation in elastic solids.
Download or read book On the Transmission of Plane Waves Through Layered Linear Viscoelastic Media written by Richard Paul Shaw and published by . This book was released on 1968 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two dimensional propagation of time harmonic waves through a plane horizontally layered viscoelastic medium is discussed. The problem is formulated as the equivalent elastic plane strain case with modified Lame constants, which are complex and frequency dependent, replacing the usual elastic Lame constants. Rather than using potentials, incident angles, etc., the problem is formulated directly in terms of stresses and displacements and solved using matrix methods. This approach is felt to be more direct and leads to some interesting conclusions. (Author).
Download or read book Seismic Wave Theory written by Edward S. Krebes and published by Cambridge University Press. This book was released on 2019-03-28 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: Perfect for senior undergraduates and first-year graduate students in geophysics, physics, mathematics, geology and engineering, this book is devoted exclusively to seismic wave theory. The result is an invaluable teaching tool, with its detailed derivations of formulas, clear explanations of topics, exercises along with selected answers, and an additional set of exercises with derived answers on the book's website. Some highlights of the text include: a review of vector calculus and Fourier transforms and an introduction to tensors, which prepare readers for the chapters to come; and a detailed discussion on computing reflection and transmission coefficients, a topic of wide interest in the field; a discussion in later chapters of plane waves in anisotropic and anelastic media, which serves as a useful introduction to these two areas of current research in geophysics. Students will learn to understand seismic wave theory through the book's clear and concise pedagogy.
