Download or read book Inverse Problems and Tomography in Acoustics and Seismology written by Philip Carrion and published by . This book was released on 1987 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Inverse Problems in Underwater Acoustics written by Michael I. Taroudakis and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides recent and useful results for bottom recognition, inverse scattering in acoustic wave guides and ocean acoustic tomography, plus a discussion of some of the new algorithms, such as those related to matched-field processing, which have recently been used for inverting experimental data.
Download or read book Inverse Problems written by Mathias Richter and published by Birkhäuser. This book was released on 2016-11-24 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The overall goal of the book is to provide access to the regularized solution of inverse problems relevant in geophysics without requiring more mathematical knowledge than is taught in undergraduate math courses for scientists and engineers. From abstract analysis only the concept of functions as vectors is needed. Function spaces are introduced informally in the course of the text, when needed. Additionally, a more detailed, but still condensed introduction is given in Appendix B. A second goal is to elaborate the single steps to be taken when solving an inverse problem: discretization, regularization and practical solution of the regularized optimization problem. These steps are shown in detail for model problems from the fields of inverse gravimetry and seismic tomography. The intended audience is mathematicians, physicists and engineers having a good working knowledge of linear algebra and analysis at the upper undergraduate level.
Download or read book Parameter Estimation and Inverse Problems written by Richard C. Aster and published by Academic Press. This book was released on 2013 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Preface -- 1. Introduction -- 2. Linear Regression -- 3. Discretizing Continuous Inverse Problems -- 4. Rank Deficiency and Ill-Conditioning -- 5. Tikhonov Regularization -- 6. Iterative Methods -- 7. Other Regularization Techniques -- 8. Fourier Techniques -- 9. Nonlinear Regression -- 10. Nonlinear Inverse Problems -- 11. Bayesian Methods -- Appendix A: Review of Linear Algebra -- Appendix B: Review of Probability and Statistics -- Appendix C: Glossary of Notation -- Bibliography -- IndexLinear Regression -- Discretizing Continuous Inverse Problems -- Rank Deficiency and Ill-Conditioning -- Tikhonov Regularization -- Iterative Methods -- Other Regularization Techniques -- Fourier Techniques -- Nonlinear Regression -- Nonlinear Inverse Problems -- Bayesian Methods.
Download or read book Seismic Inversion written by Yanghua Wang and published by John Wiley & Sons. This book was released on 2016-09-15 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seismic inversion aims to reconstruct a quantitative model of the Earth subsurface, by solving an inverse problem based on seismic measurements. There are at least three fundamental issues to be solved simultaneously: non-linearity, non-uniqueness, and instability. This book covers the basic theory and techniques used in seismic inversion, corresponding to these three issues, emphasising the physical interpretation of theoretical concepts and practical solutions. This book is written for master and doctoral students who need to understand the mathematical tools and the engineering aspects of the inverse problem needed to obtain geophysically meaningful solutions. Building on the basic theory of linear inverse problems, the methodologies of seismic inversion are explained in detail, including ray-impedance inversion and waveform tomography etc. The application methodologies are categorised into convolutional and wave-equation based groups. This systematic presentation simplifies the subject and enables an in-depth understanding of seismic inversion. This book also provides a practical guide to reservoir geophysicists who are attempting quantitative reservoir characterisation based on seismic data. Philosophically, the seismic inverse problem allows for a range of possible solutions, but the techniques described herein enable geophysicists to exclude models that cannot satisfy the available data. This book summarises the author’s extensive experience in both industry and academia and includes innovative techniques not previously published.
Download or read book Inverse and Ill Posed Sources Problems written by Yu. E. Anikonov and published by Walter de Gruyter. This book was released on 2013-02-18 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.
Download or read book Full Field Inversion Methods in Ocean and Seismo Acoustics written by Orest Diachok and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent advances in the power of inversion methods, the accuracy of acoustic field prediction codes, and the speed of digital computers have made the full field inversion of ocean and seismic parameters on a large scale a practical possibility. These methods exploit amplitude and phase information detected on hydrophone/geophone arrays, thereby extending traditional inversion schemes based on time of flight measurements. Full field inversion methods provide environmental information by minimising the mismatch between measured and predicted acoustic fields through a global search of possible environmental parameters. Full Field Inversion Methods in Ocean and Seismo-Acoustics is the formal record of a conference held in Italy in June 1994, sponsored by NATO SACLANT Undersea Research Centre. It includes papers by NATO specialists and others. Topics covered include: · speed and accuracy of acoustic field prediction codes · signal processing strategies · global inversion algorithms · search spaces of environmental parameters · environmental stochastic limitations · special purpose computer architectures · measurement geometries · source and receiving sensor technologies.
Download or read book Theoretical and Computational Acoustics 99 written by Ding Lee and published by World Scientific. This book was released on 2004-01-01 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ICTCA conference provides an interdisciplinary forum for active researchers in academia and industry who are of varying backgrounds to discuss the state-of-the-art developments and results in theoretical and computational acoustics and related topics. The papers presented at the meeting cover acoustical problems of common interest across disciplines and their accurate mathematical and numerical modelling. The present book collects papers that were presented at the 4th meeting and printed in the Journal of Computational Acoustics . There are about 120 full research articles on various subjects, such as wave propagation theory and numerical modelling, sound propagation, vibrations and noise generation, underwater acoustics, engineering seismology, ultrasonic field synthesis and modelling, as well as computational methods, inverse problems and tomography, shallow water acoustics and environmental/bottom parameter extraction. A CD-Rom is attached that allows readers to browse through articles and print those of interest to them. Contents: Wave Propagation Theory; Sound Propagation, Vibrations and Noise; Underwater Acoustics; Engineering Seismology; Ultrasonic Field Synthesis and Modelling; Computational Methods; Finite Elements for Wave Problems; Wave Propagation Modelling; Inverse Problems and Tomography; Geoacoustic Inversion in Shallow Water. Readership: Researchers and engineers in applied acoustics.
Download or read book Inverse Problems in Acoustic Tomography written by Ivana Jovanović and published by . This book was released on 2008 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Seismic Inversion written by Gerard T. Schuster and published by SEG Books. This book was released on 2017-07-01 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Imaging of Complex Media with Acoustic and Seismic Waves written by Mathias Fink and published by Springer Science & Business Media. This book was released on 2003-07-01 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this interdisciplinary book, leading experts in underwater acoustics, seismology, acoustic medical imaging and non-destructive testing present basic concepts as well as the recent advances in imaging. The different subjects tackled show significant similarities.
Download or read book Geophysical Inversion written by J. Bee Bednar and published by SIAM. This book was released on 1992-01-01 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of papers on geophysical inversion contains research and survey articles on where the field has been and where it's going, and what is practical and what is not. Topics covered include seismic tomography, migration and inverse scattering.
Download or read book Wavefield Inversion written by Armand Wirgin and published by Springer. This book was released on 2014-05-04 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an up-to-date presentation of a broad range of contemporary problems in inverse scattering involving acoustic, elastic and electromagnetic waves. Descriptions will be given of traditional (but still in use and subject to on-going improvements) and more recent methods for identifying either: a) the homogenized material parameters of (spatially) unbounded or bounded heterogeneous media, or b) the detailed composition (spatial distribution of the material parameters) of unbounded or bounded heterogeneous media, or c) the location, shape, orientation and material characteristics of an object embedded in a wellcharacterized homogeneous, homogenized or heterogeneous unbounded or bounded medium, by inversion of reflected, transmitted or scattered spatiotemporal recorded waveforms resulting from the propagation of probe radiation within the medium.
Download or read book Handbook of Signal Processing in Acoustics written by David Havelock and published by Springer Science & Business Media. This book was released on 2008-10-26 with total page 1932 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Signal Processing in Acoustics brings together a wide range of perspectives from over 100 authors to reveal the interdisciplinary nature of the subject. It brings the key issues from both acoustics and signal processing into perspective and is a unique resource for experts and practitioners alike to find new ideas and techniques within the diversity of signal processing in acoustics.
Download or read book Computational Methods for Applied Inverse Problems written by Yanfei Wang and published by Walter de Gruyter. This book was released on 2012-10-30 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nowadays inverse problems and applications in science and engineering represent an extremely active research field. The subjects are related to mathematics, physics, geophysics, geochemistry, oceanography, geography and remote sensing, astronomy, biomedicine, and other areas of applications. This monograph reports recent advances of inversion theory and recent developments with practical applications in frontiers of sciences, especially inverse design and novel computational methods for inverse problems. The practical applications include inverse scattering, chemistry, molecular spectra data processing, quantitative remote sensing inversion, seismic imaging, oceanography, and astronomical imaging. The book serves as a reference book and readers who do research in applied mathematics, engineering, geophysics, biomedicine, image processing, remote sensing, and environmental science will benefit from the contents since the book incorporates a background of using statistical and non-statistical methods, e.g., regularization and optimization techniques for solving practical inverse problems.
Download or read book Hybrid Inverse Problems written by Jie Chen and published by . This book was released on 2013 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems arise in different disciplines including exploration geophysics, medical imaging and nondestructive evaluation. In some settings, a single modality displays either high contrast or high resolution but not both. In favorable situations, physical effects couple one high-contrast modality with another high-resolution modality. Hybrid inverse problems, also called coupled-physics inverse problems or multi-wave inverse problems, are motivated to study these coupling mechanisms to display both high contrast and high resolution. In photo-acoustic tomography(PAT) and thermo-acoustic tomography(TAT), acoustic waves couple with optical radiations, while in electro-seismic(ES) effect, seismic waves couple with electrical fields. The solution strategies of hybrid methods typically consist of two steps. Normally in the first step, a high-resolution-low-contrast modality is considered to reconstruct some internal data. In PAT and TAT, we invert a wave equation and reconstruct the initial wave pressure from available boundary measurements. In ES conversion, we invert Biot's system to recover the internal source. In our work, we assume that this step has been performed. The second step consists of the quantitative reconstruction of coefficients of interest by applying a high-contrast modality on the high-resolution internal data obtained during the first step. In the second step of PAT, our main objective is to recover diffusion and absorption coefficients from the internal measurements. The second step of ES conversion works with Maxwell's equation to reconstruct the conductivity and the coupling coefficient from internal measurements. This thesis mainly focuses on the second steps of PAT and ES conversion. Indeed, assuming the internal measurements are obtained already, we mainly prove the uniqueness and the stability of the constructions of the coefficients of interest in PAT and ES conversion. Precisely, We show that knowledge of two internal data based on well-chosen boundary conditions uniquely determine the coefficients of interest. Moreover, Lipschitz type stability results are proved based on the same sets of well-chosen boundary conditions.
