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Acoustic And Elastic Wave Fields In Geophysics Part Ii
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Book Synopsis Acoustic and Elastic Wave Fields in Geophysics by : Alexander A. Kaufman
Download or read book Acoustic and Elastic Wave Fields in Geophysics written by Alexander A. Kaufman and published by Gulf Professional Publishing. This book was released on 2000 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a continuation of 'Acoustic and Elastic Wave Fields in Geophysics, Part I' published in 2000. The second volume is dedicated to propagation of linear plane, spherical and cylindrical acoustic waves in different media. Chapter 1 is devoted to principles of geometric acoustic in plane wave approximation. The eikonal and transport equations are derived. Ray tracing and wavefront construction techniques are explained. Chapter 2 deals with dynamic properties of wave fields. The behavior of pressure and displacements amplitudes in zero approximation is analysed in two ways: using Poynting vector and solving the transport equation. This chapter contains several examples related to shadow zones and caustics. In Chapter 3 using the results of analysis of high-frequency wave kinematics and dynamics some fundamental aspects of Kirchhoff migration are described. Chapters 4 and 5 are devoted to propagation of plane waves in media with flat boundaries in the case of normal and oblique incidence. Special attention is paid to the case when an incident angle exceeds the critical angles. Formation of normal modes in the waveguide is discussed. Chapter 6 deals with a spherical wave reflection and refraction. The steepest descent method is introduced to describe the behavior of reflected, transmitted, head and evanescent waves. In Chapter 7 propagation of stationary and transient waves in a waveguide formed by a flat layer with low velocity are investigated. Normal modes and waves related to the branch points of integrands under consideration are studied. Dispersive properties of normal modes are discussed. Chapter 8 describes wave propagation inside cylinder in acoustic media. Several appendices are added to help the reader understand different aspects of mathematics used in the book.
Book Synopsis Acoustic and Elastic Wave Fields in Geophysics, Part II by : A.L. Levshin
Download or read book Acoustic and Elastic Wave Fields in Geophysics, Part II written by A.L. Levshin and published by Elsevier Science. This book was released on 2002-10-11 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a continuation of 'Acoustic and Elastic Wave Fields in Geophysics, Part I' published in 2000. The second volume is dedicated to propagation of linear plane, spherical and cylindrical acoustic waves in different media. Chapter 1 is devoted to principles of geometric acoustic in plane wave approximation. The eikonal and transport equations are derived. Ray tracing and wavefront construction techniques are explained. Chapter 2 deals with dynamic properties of wave fields. The behavior of pressure and displacements amplitudes in zero approximation is analysed in two ways: using Poynting vector and solving the transport equation. This chapter contains several examples related to shadow zones and caustics. In Chapter 3 using the results of analysis of high-frequency wave kinematics and dynamics some fundamental aspects of Kirchhoff migration are described. Chapters 4 and 5 are devoted to propagation of plane waves in media with flat boundaries in the case of normal and oblique incidence. Special attention is paid to the case when an incident angle exceeds the critical angles. Formation of normal modes in the waveguide is discussed. Chapter 6 deals with a spherical wave reflection and refraction. The steepest descent method is introduced to describe the behavior of reflected, transmitted, head and evanescent waves. In Chapter 7 propagation of stationary and transient waves in a waveguide formed by a flat layer with low velocity are investigated. Normal modes and waves related to the branch points of integrands under consideration are studied. Dispersive properties of normal modes are discussed. Chapter 8 describes wave propagation inside cylinder in acoustic media. Several appendices are added to help the reader understand different aspects of mathematics used in the book.
Book Synopsis Acoustic and Elastic Wave Fields in Geophysics, III by : Alex Kaufman
Download or read book Acoustic and Elastic Wave Fields in Geophysics, III written by Alex Kaufman and published by Elsevier. This book was released on 2005-05-16 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Acoustic and Elastic Wave Fields in Geophysics by : Alexander A. Kaufman
Download or read book Acoustic and Elastic Wave Fields in Geophysics written by Alexander A. Kaufman and published by . This book was released on 2000 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Acoustic and Elastic Wave Fields in Geophysics, Part II by : A.L. Levshin
Download or read book Acoustic and Elastic Wave Fields in Geophysics, Part II written by A.L. Levshin and published by Elsevier Science. This book was released on 2002-10-11 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a continuation of 'Acoustic and Elastic Wave Fields in Geophysics, Part I' published in 2000. The second volume is dedicated to propagation of linear plane, spherical and cylindrical acoustic waves in different media. Chapter 1 is devoted to principles of geometric acoustic in plane wave approximation. The eikonal and transport equations are derived. Ray tracing and wavefront construction techniques are explained. Chapter 2 deals with dynamic properties of wave fields. The behavior of pressure and displacements amplitudes in zero approximation is analysed in two ways: using Poynting vector and solving the transport equation. This chapter contains several examples related to shadow zones and caustics. In Chapter 3 using the results of analysis of high-frequency wave kinematics and dynamics some fundamental aspects of Kirchhoff migration are described. Chapters 4 and 5 are devoted to propagation of plane waves in media with flat boundaries in the case of normal and oblique incidence. Special attention is paid to the case when an incident angle exceeds the critical angles. Formation of normal modes in the waveguide is discussed. Chapter 6 deals with a spherical wave reflection and refraction. The steepest descent method is introduced to describe the behavior of reflected, transmitted, head and evanescent waves. In Chapter 7 propagation of stationary and transient waves in a waveguide formed by a flat layer with low velocity are investigated. Normal modes and waves related to the branch points of integrands under consideration are studied. Dispersive properties of normal modes are discussed. Chapter 8 describes wave propagation inside cylinder in acoustic media. Several appendices are added to help the reader understand different aspects of mathematics used in the book.
Book Synopsis Elastic Wave Field Extrapolation by : C.P.A. Wapenaar
Download or read book Elastic Wave Field Extrapolation written by C.P.A. Wapenaar and published by Elsevier. This book was released on 2014-04-14 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Acoustic and Elastic Wave Fields in Geophysics, III. Methods in Geochemistry and Geophysics by : Alexander A. Kaufman
Download or read book Acoustic and Elastic Wave Fields in Geophysics, III. Methods in Geochemistry and Geophysics written by Alexander A. Kaufman and published by . This book was released on 2005 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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). This book contains the prevalence of physical reasoning on formal mathematical derivations. Readers do not need to have a strong background in math.
Book Synopsis Acoustic and Elastic Wave Fields in Geophysics, III by : Alex Kaufman
Download or read book Acoustic and Elastic Wave Fields in Geophysics, III written by Alex Kaufman and published by Elsevier Science. This book was released on 2005-05-13 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Book Synopsis Scattering and Attenuation of Seismic Waves, Part II by : WU
Download or read book Scattering and Attenuation of Seismic Waves, Part II written by WU and published by Birkhäuser. This book was released on 2013-11-21 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint from Pure and Applied Geophysics (PAGEOPH), Volume 131 (1989), No. 4
Book Synopsis Inverse Problems of Acoustic and Elastic Waves by : Fadil Santosa
Download or read book Inverse Problems of Acoustic and Elastic Waves written by Fadil Santosa and published by SIAM. This book was released on 1984-01-01 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: A Survey of the Vocal Tract Inverse Problem: Theory, Computations and Experiments; Convergence of Discrete Inversion Solutions; Inversion of Band Limited Reflection Seismograms; Some Recent Results in Inverse Scattering Theory; Well-Posed Questions and Exploration of the Space of Parameters in Linear and Nonlinear Inversion; The Seismic Reflection Inverse Problem; Migration Methods: Partial but Efficient Solutions to the Seismic Inverse Problem; Relationship Between Linearized Inverse Scattering and Seismic Migration; Project Review on Geophysical and Ocean Sound Speed Profile Inversion; Acoustic Tomography; Inverse Problems of Acoustic and Elastic Waves; Finite Element Methods with Anisotropic Diffusion for Singularly Perturbed Convection Diffusion Problems; Adaptive Grid Methods for Hyperbolic Partial Differential Equations; Some Simple Stability Results for Inverse Scattering Problems; Inverse Scattering for Stratified, Isotropic Elastic Media Using the Trace Method; A Layer-Stripping Solution of the Inverse Problem for a One-Dimensional Elastic Medium; On Constructing Solutions to an Inverse Euler-Bernoulli Beam Problem; Far Field Patterns in Acoustic and Electromagnetic Scattering Theory; Renaissance Inversion; On the Equilibrium Equations of Poroelasticity; GPST-A Versatile Numerical Method for Solving Inverse Problems of Partial Differential Equations; and Applications of Seismic Ray-Tracing Techniques to the Study of Earthquake Focal Regions.
Book Synopsis Principles of Induction Logging by : Avital Kaufman
Download or read book Principles of Induction Logging written by Avital Kaufman and published by Elsevier. This book was released on 2003-05-23 with total page 657 pages. Available in PDF, EPUB and Kindle. Book excerpt: The monograph introduces the reader to the world of inductive well logging - an established method for surveying the electrical conductivity of rocks surrounding a borehole. The emphasis is on developing a theory of inductive logging and on understanding logging tools basic physics, since this theory and understanding furnish valuable insights for inventing practical induction logging techniques. The first chapter of the book presents the basic laws of electromagnetism from a point of view that will facilitate the application of the theory to problems in electromagnetic logging. Many topics that play an important role in the design and interpretation of tools readings are covered. The vertical resolution and radial depth of investigation of different induction tools is systematically considered. Special attention is paid to principles of induction logging with transversal induction coils, to transient method of induction logging in media with cylindrical and horizontal interfaces and to the influence of anisotropy on the electromagnetic field measured in a conducting medium. Multi-coil differential induction probes and induction logging based on measuring the inphase component of the secondary field or the quadrature component difference are also described in detail. The last chapter is devoted to mathematical modeling of the response of induction logging tools in 3D geometries. The theory of inductive logging presented in this volume can be applied to logging after drilling as well as logging while drilling.
Book Synopsis Acoustic Interactions With Submerged Elastic Structures - Part I: Acoustic Scattering And Resonances by : Ardeshir Guran
Download or read book Acoustic Interactions With Submerged Elastic Structures - Part I: Acoustic Scattering And Resonances written by Ardeshir Guran and published by World Scientific. This book was released on 1996-08-30 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interaction of acoustic fields with submerged elastic structures, both by propagation and scattering, is being investigated at various institutions and laboratories world-wide with ever-increasing sophistication of experiments and analysis. This book offers a collection of contributions from these research centers that represent the present state-of-the-art in the study of acoustic elastic interaction, being on the cutting edge of these investigations. This includes the description of acoustic scattering from submerged elastic objects and shells by the Resonance Scattering Theory of Flax, Dragonette and Überall, and the interaction of these phenomena in terms of interface waves. It also includes the use of this theory for the purpose of inverse scattering, i.e. the determination of the scattered objects properties from the received acoustic backscattered signals. The problem of acoustically excited waves in inhomogeneous and anisotropic materials, and of inhomogeneous propagating waves is considered. Vibrations and resonances of elastic shells, including shells with various kinds of internal attachments, are analyzed. Acoustic scattering experiments are described in the time domain, and on the basis of the Wigner-Ville distribution. Acoustic propagation in the water column over elastic boundaries is studied experimentally both in laboratory tanks, and in the field, and is analyzed theoretically. Ultrasonic nondestructive testing, including such aspects like probe modelling, scattering by various types of cracks, receiving probes and calibration by a side-drilled hole is also studied in details.A comprehensive picture of these complex phenomena and other aspects is presented in the book by researchers that are experts in each of these domains, giving up-to-date accounts of the field in all these aspects.
Book Synopsis Wave Fields in Real Media by : José M. Carcione
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
Book Synopsis Seismic Waves in Laterally Inhomogeneous Media Part II by : Ivan Psencik
Download or read book Seismic Waves in Laterally Inhomogeneous Media Part II written by Ivan Psencik and published by Birkhäuser. This book was released on 2012-12-06 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: The special issue contains contributions presented at the international workshop Seismic waves in laterally inhomogeneous media IV, which was held at the Castle of Trest, Czech Republic, May 22-27, 1995. The workshop, which was attended by about 100 seismologists from more than 10 countries, was devoted mainly to the current state of theoretical and computational means of study of seismic wave propagation in complex structures. The special issue can be of interest for theoretical, global and explorational seismologists. The first part contains papers dealing with the study and the use of various methods of solving forward and inverse problems in complicated structures. Among other methods, discrete-wave number method, the finite-difference method, the edge-wave supperposition method and the ray method are studied and used. Most papers contained in the second part are related to the ray method. The most important topics are two-point ray tracing, grid calculations of travel times and amplitudes and seismic wave propagation in anisotropic media.
Book Synopsis Geophysical Inverse Theory and Regularization Problems by : Michael S Zhdanov
Download or read book Geophysical Inverse Theory and Regularization Problems written by Michael S Zhdanov and published by Elsevier. This book was released on 2002-04-24 with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents state-of-the-art geophysical inverse theory developed in modern mathematical terminology. The book brings together fundamental results developed by the Russian mathematical school in regularization theory and combines them with the related research in geophysical inversion carried out in the West. It presents a detailed exposition of the methods of regularized solution of inverse problems based on the ideas of Tikhonov regularization, and shows the different forms of their applications in both linear and nonlinear methods of geophysical inversion. This text is the first to treat many kinds of inversion and imaging techniques in a unified mathematical manner. The book is divided in five parts covering the foundations of the inversion theory and its applications to the solution of different geophysical inverse problems, including potential field, electromagnetic, and seismic methods. The first part is an introduction to inversion theory. The second part contains a description of the basic methods of solution of the linear and nonlinear inverse problems using regularization. The following parts treat the application of regularization methods in gravity and magnetic, electromagnetic, and seismic inverse problems. The key connecting idea of these applied parts of the book is the analogy between the solutions of the forward and inverse problems in different geophysical methods. The book also includes chapters related to the modern technology of geophysical imaging, based on seismic and electromagnetic migration. This volume is unique in its focus on providing a link between the methods used in gravity, electromagnetic, and seismic imaging and inversion, and represents an exhaustive treatise on inversion theory.
Book Synopsis Elastic Waves in Solids, Volume 2 by : Tony Valier-Brasier
Download or read book Elastic Waves in Solids, Volume 2 written by Tony Valier-Brasier and published by John Wiley & Sons. This book was released on 2022-06-15 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elastic waves are used in fields as diverse as the non-destructive evaluation of materials, medicine, seismology and telecommunications. Elastic Waves in Solids 2 analyzes the radiation, scattering and generation of these waves. It studies the emission of bulk or surface waves from sources localized on the surface of an isotropic or anisotropic solid. It then examines the scattering of a longitudinal or transverse elastic wave by one or more cylindrical or spherical heterogeneities. Finally, it explores the methods and devices used to generate and detect elastic waves, using the piezoelectric effect or the interaction with a laser beam. Accompanying figures illustrate these properties, and the text provides the orders of magnitude of some characteristic parameters. This book is intended for students completing a master’s degree in acoustics, mechanics, geophysics or engineering, as well as teachers and researchers in these disciplines.
Book Synopsis Wave Fields in Real Media by : José M. Carcione
Download or read book Wave Fields in Real Media written by José M. Carcione and published by Elsevier. This book was released on 2001-10-15 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
