Discrete Inverse Theory

Author: William Menke

Publisher: Academic Press

ISBN: 0123971608

Category: Mathematics

Page: 293

View: 6455

Please use extracts from reviews of first edition Key Features * Updated and thoroughly revised edition * additional material on geophysical/acoustic tomography * Detailed discussion of application of inverse theory to tectonic, gravitational and geomagnetic studies
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Author: E. R. Kanasewich

Publisher: University of Alberta

ISBN: 9780888640741

Category: Science

Page: 480

View: 1780

Time sequence analysis is the study of relations between a sequence of data points or sequence of signals in order to determine the physical properties of the earth. Providing an up-to-date treatment on time series and time sequence, this book is intended for senior or graduate students in seismology, geomagnetism and exploratory geophysics.
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Discrete Inverse Theory

Author: William Menke

Publisher: Elsevier

ISBN: 9780080507323

Category: Science

Page: 289

View: 9038

Please use extracts from reviews of first edition Key Features * Updated and thoroughly revised edition * additional material on geophysical/acoustic tomography * Detailed discussion of application of inverse theory to tectonic, gravitational and geomagnetic studies
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Author: David Gubbins

Publisher: Cambridge University Press

ISBN: 9780521379953

Category: Science

Page: 339

View: 3162

This introduction to seismological theory and the principles of plate tectonics also develops a practical approach to the interpretation of seismograms for physicists and mathematicians as well as geologists.
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Understanding Inverse Problem Theory and Practice

Author: N.A

Publisher: SEG Books

ISBN: 156080257X

Category: Electronic books

Page: 296

View: 2077

Geophysical data analysis is a very practical subject and this book is intended to be a simple guide to the techniques of parameter estimation and error analysis. I have placed emphasis on the reconciliation of theory and practical data to enable the reader understand how to tackle typical problems in data analysis. It is hoped that a mastery of the simple techniques described in this book will inspire confidence in the reader to consult the more classical treatment of the subject. It is pertinent to mention that this book developed out of a highly successful course of the same title given to senior undergraduate geophysics students in Leicester University since 1988 and its popularity stems from the structured learning programs and the simple effective practical approach to geophysical inversion. The course is given in the first semester to provide students with the basic tools for quantitative analysis of geoscientific data and consists of 10 lectures and practical sessions involving the materials given in Chapters 1 to 9 in this book. Chapter 10 derives from topical issues of research interest to me and my induction courses for postgraduate students in geophysics and the industry. The contents of this book are easily digestible and require little statistical or mathematical commitment.
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Author: Richard C. Aster,Brian Borchers,Clifford H. Thurber

Publisher: Elsevier

ISBN: 0128134232

Category: Science

Page: 404

View: 8411

Parameter Estimation and Inverse Problems, Third Edition, is structured around a course at New Mexico Tech and is designed to be accessible to typical graduate students in the physical sciences who do not have an extensive mathematical background. The book is complemented by a companion website that includes MATLAB codes that correspond to examples that are illustrated with simple, easy to follow problems that illuminate the details of particular numerical methods. Updates to the new edition include more discussions of Laplacian smoothing, an expansion of basis function exercises, the addition of stochastic descent, an improved presentation of Fourier methods and exercises, and more. Complemented by a companion website that includes MATLAB codes that correspond to all examples Features examples that are illustrated with simple, easy to follow problems that illuminate the details of a particular numerical method Includes an online instructor’s guide that helps professors teach and customize exercises and select homework problems Covers updated information on adjoint methods that are presented in an accessible manner
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Application to Geophysical Problems

Author: V. Dimri

Publisher: Elsevier

ISBN: 1483291375

Category: Science

Page: 249

View: 1309

This is the first study to present simultaneously both deconvolution and inversion, two powerful tools of data analysis. Featured within this volume are various geophysical convolution models and a treatment of deconvolution for a time-varying signal. The single channel time-varying deconvolution is shown equivalent to the multichannel time-invariant deconvolution, thus a formalism and associated algorithms can handle both. Inverse theory as well as various inversion schemes are presented on the basis of a relationship between a small perturbation to the model and its effects on the observation. The information theory inversion scheme is discussed, and several types of norm of minimization presented. Additionally, concepts and results of inverse theory are applied to design a new deconvolution operator for estimating magnetization and density distribution, and the constraint of the Backus-Gilbert formalism of inverse theory is used to design a new prediction error filter for maximum entropy spectral estimates. Maximum likelihood, another high resolution method is also presented. This volume can be utilised as a graduate-level text for courses in Geophysics. Some chapters will be of use for graduate courses in Applied Mathematics, Applied Statistics, and Oceanography.
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Author: Alfred Osborne

Publisher: Academic Press

ISBN: 9780080925103

Category: Science

Page: 944

View: 7323

For more than 200 years, the Fourier Transform has been one of the most important mathematical tools for understanding the dynamics of linear wave trains. Nonlinear Ocean Waves and the Inverse Scattering Transform presents the development of the nonlinear Fourier analysis of measured space and time series, which can be found in a wide variety of physical settings including surface water waves, internal waves, and equatorial Rossby waves. This revolutionary development will allow hyperfast numerical modelling of nonlinear waves, greatly advancing our understanding of oceanic surface and internal waves. Nonlinear Fourier analysis is based upon a generalization of linear Fourier analysis referred to as the inverse scattering transform, the fundamental building block of which is a generalized Fourier series called the Riemann theta function. Elucidating the art and science of implementing these functions in the context of physical and time series analysis is the goal of this book. Presents techniques and methods of the inverse scattering transform for data analysis Geared toward both the introductory and advanced reader venturing further into mathematical and numerical analysis Suitable for classroom teaching as well as research
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Author: Vladimir Troyan,Yurii Kiselev

Publisher: World Scientific

ISBN: 981429375X

Category: Electronic books

Page: 436

View: 6475

This textbook contains a consideration of the wide field of problems connected with statistical methods of processing of observed data, with the main examples and considered models related to geophysics and seismic exploration. This textbook will be particularly helpful to students and professionals from various fields of physics, connected with an estimation of the parameters of the physical objects by experimental data. The reader can also find many important topics, which are the basis for statistical methods of estimation and inverse problem solutions.
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proceedings : Sept. 29-Oct. 1, 1976

Author: J. De Klerk,Bruce Ronald McAvoy,Institute of Electrical and Electronics Engineers. Sonics and Ultrasonics Group

Publisher: N.A

ISBN: N.A

Category: Medical

Page: 719

View: 5192

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Realization and Modelling in System Theory

Author: A.C. Ran,Marinus Kaashoek,J.H. van Schuppen

Publisher: Springer Science & Business Media

ISBN: 9780817634698

Category: Juvenile Nonfiction

Page: 594

View: 6496

This volume is the first of the three volume publication containing the proceedings of the 1989 International Symposium on the Mathematical Theory of Networks and Systems (MTNS-89), which was held in Amsterdam, The Netherlands, June 19-23, 1989. The International Symposia MTNS focus attention on problems from system and control theory, circuit theory and signal processing, which, in general, require application of sophisticated mathematical tools, such as from function and operator theory, linear algebra and matrix theory, differential and algebraic geometry. The interaction between advanced mathematical methods and practical engineering problems of circuits, systems and control, which is typical for MTNS, turns out to be most effective and is, as these proceedings show, a continuing source of exciting advances. The first volume contains invited papers and a large selection of other symposium presentations on the general theory of deterministic and stochastic systems with an emphasis on realization and modelling. A wide variety of recent results on approximate realization and system identification, stochastic dynamical systems, discrete event systems,- o systems, singular systems and nonstandard models IS presented. Preface vi Also a few papers on applications in hydrology and hydraulics are included. The titles of the two other volumes are: Robust Control of Linear Sys tems and Nonlinear Control (volume 2) and Signal Processing. Scatter ing and Operator Theory. and Numerical Methods (volume 3). The Editors are most grateful to the about 300 reviewers for their help in the refereeing process. The Editors thank Ms. G. Bijleveld and Ms.
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Author: Mark E. Everett

Publisher: Cambridge University Press

ISBN: 1107354978

Category: Science

Page: N.A

View: 9264

Just a few meters below the Earth's surface lie features of great importance, from geological faults which can produce devastating earthquakes, to lost archaeological treasures! This refreshing, up-to-date book explores the foundations of interpretation theory and the latest developments in near-surface techniques, used to complement traditional geophysical methods for deep-exploration targets. Clear but rigorous, the book explains theory and practice in simple physical terms, supported by intermediate-level mathematics. Techniques covered include magnetics, resistivity, seismic reflection and refraction, surface waves, induced polarization, self-potential, electromagnetic induction, ground-penetrating radar, magnetic resonance, interferometry, seismoelectric and more. Sections on data analysis and inverse theory are provided and chapters are illustrated by case studies, giving students and professionals the tools to plan, conduct and analyze a near-surface geophysical survey. This is an important textbook for advanced-undergraduate and graduate students in geophysics and a valuable reference for practising geophysicists, geologists, hydrologists, archaeologists, and civil and geotechnical engineers.
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Insights from Laboratory Experiments and Numerical Simulations

Author: Thomas von Larcher,Paul D. Williams

Publisher: John Wiley & Sons

ISBN: 1118855922

Category: Science

Page: 368

View: 9743

Modeling Atmospheric and Oceanic Flows: Insights from LaboratoryExperiments and Numerical Simulations provides a broad overview ofrecent progress in using laboratory experiments and numericalsimulations to model atmospheric and oceanic fluid motions. Thisvolume not only surveys novel research topics in laboratoryexperimentation, but also highlights recent developments in thecorresponding computational simulations. As computing power growsexponentially and better numerical codes are developed, theinterplay between numerical simulations and laboratory experimentsis gaining paramount importance within the scientific community.The lessons learnt from the laboratory–model comparisons inthis volume will act as a source of inspiration for the nextgeneration of experiments and simulations. Volume highlightsinclude: Topics pertaining to atmospheric science, climatephysics, physical oceanography, marine geology and geophysics Overview of the most advanced experimental andcomputational research in geophysics Recent developments in numerical simulations ofatmospheric and oceanic fluid motion Unique comparative analysis of the experimentaland numerical approaches to modeling fluid flow Modeling Atmospheric and Oceanic Flows will be a valuableresource for graduate students, researchers, and professionals inthe fields of geophysics, atmospheric sciences, oceanography,climate science, hydrology, and experimental geosciences.
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Author: Guri I. Marchuk

Publisher: Springer Science & Business Media

ISBN: 9780792330134

Category: Computers

Page: 468

View: 9806

New statements of problems arose recently demanding thorough ana lysis. Notice, first of all, the statements of problems using adjoint equations which gradually became part of our life. Adjoint equations are capable to bring fresh ideas to various problems of new technology based on linear and nonlinear processes. They became part of golden fund of science through quantum mechanics, theory of nuclear reactors, optimal control, and finally helped in solving many problems on the basis of perturbation method and sensitivity theory. To emphasize the important role of adjoint problems in science one should mention four-dimensional analysis problem and solution of inverse problems. This range of problems includes first of all problems of global climate changes on our planet, state of environment and protection of environ ment against pollution, preservation of the biosphere in conditions of vigorous growth of population, intensive development of industry, and many others. All this required complex study of large systems: interac tion between the atmosphere and oceans and continents in the theory of climate, cenoses in the biosphere affected by pollution of natural and anthropogenic origin. Problems of local and global perturbations and models sensitivity to input data join into common complex system.
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