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| Author | : Robert L. Parker |
| Publisher | : Princeton University Press |
| Total Pages | : 400 |
| Release | : 2019-12-31 |
| Genre | : Science |
| ISBN | : 069120683X |
Download Geophysical Inverse Theory Book in PDF, ePub and Kindle
In many physical sciences, the most natural description of a system is with a function of position or time. In principle, infinitely many numbers are needed to specify that function, but in practice only finitely many measurements can be made. Inverse theory concerns the mathematical techniques that enable researchers to use the available information to build a model of the unknown system or to determine its essential properties. In Geophysical Inverse Theory, Robert Parker provides a systematic development of inverse theory at the graduate and professional level that emphasizes a rigorous yet practical solution of inverse problems, with examples from experimental observations in geomagnetism, seismology, gravity, electromagnetic sounding, and interpolation. Although illustrated with examples from geophysics, this book has broad implications for researchers in applied disciplines from materials science and engineering to astrophysics, oceanography, and meteorology. Parker's approach is to avoid artificial statistical constructs and to emphasize instead the reasonable assumptions researchers must make to reduce the ambiguity that inevitably arises in complex problems. The structure of the book follows a natural division in the subject into linear theory, in which the measured quantities are linear functionals of the unknown models, and nonlinear theory, which covers all other systems but is not nearly so well understood. The book covers model selection as well as techniques for drawing firm conclusions about the earth independent of any particular model.
| Author | : Michael S Zhdanov |
| Publisher | : Elsevier |
| Total Pages | : 731 |
| Release | : 2015-07-15 |
| Genre | : Science |
| ISBN | : 044462712X |
Download Inverse Theory and Applications in Geophysics Book in PDF, ePub and Kindle
Geophysical Inverse Theory and Applications, Second Edition, 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. It’s the first book of its kind 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. Unique in its focus on providing a link between the methods used in gravity, electromagnetic, and seismic imaging and inversion, it represents an exhaustive treatise on inversion theory.Written by one of the world’s foremost experts, this work is widely recognized as the ultimate researcher’s reference on geophysical inverse theory and its practical scientific applications. Presents state-of-the-art geophysical inverse theory developed in modern mathematical terminology—the first to treat many kinds of inversion and imaging techniques in a unified mathematical way Provides a critical link between the methods used in gravity, electromagnetic, and seismic imaging and inversion, and represents an exhaustive treatise on geophysical inversion theory Features more than 300 illustrations, figures, charts and graphs to underscore key concepts Reflects the latest developments in inversion theory and applications and captures the most significant changes in the field over the past decade
| Author | : William Menke |
| Publisher | : Academic Press |
| Total Pages | : 273 |
| Release | : 2012-12-02 |
| Genre | : Science |
| ISBN | : 0323141285 |
Download Geophysical Data Analysis: Discrete Inverse Theory Book in PDF, ePub and Kindle
Geophysical Data Analysis: Discrete Inverse Theory is an introductory text focusing on discrete inverse theory that is concerned with parameters that either are truly discrete or can be adequately approximated as discrete. Organized into 12 chapters, the book’s opening chapters provide a general background of inverse problems and their corresponding solution, as well as some of the basic concepts from probability theory that are applied throughout the text. Chapters 3-7 discuss the solution of the canonical inverse problem, that is, the linear problem with Gaussian statistics, and discussions on problems that are non-Gaussian and nonlinear are covered in Chapters 8 and 9. Chapters 10-12 present examples of the use of inverse theory and a discussion on the numerical algorithms that must be employed to solve inverse problems on a computer. This book is of value to graduate students and many college seniors in the applied sciences.
| Author | : Mrinal K. Sen |
| Publisher | : Cambridge University Press |
| Total Pages | : 303 |
| Release | : 2013-02-21 |
| Genre | : Mathematics |
| ISBN | : 1107011906 |
Download Global Optimization Methods in Geophysical Inversion Book in PDF, ePub and Kindle
An up-to-date overview of global optimization methods used to formulate and interpret geophysical observations, for researchers, graduate students and professionals.
| Author | : J. Bee Bednar |
| Publisher | : SIAM |
| Total Pages | : 472 |
| Release | : 1992-01-01 |
| Genre | : Science |
| ISBN | : 9780898712735 |
Download Geophysical Inversion Book in PDF, ePub and Kindle
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.
| Author | : Gerard T. Schuster |
| Publisher | : SEG Books |
| Total Pages | : 377 |
| Release | : 2017-07-01 |
| Genre | : Science |
| ISBN | : 156080341X |
Download Seismic Inversion Book in PDF, ePub and Kindle
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.
| Author | : Max A. Meju |
| Publisher | : SEG Books |
| Total Pages | : 305 |
| Release | : 1994 |
| Genre | : Geophysics |
| ISBN | : 156080257X |
Download Geophysical Data Analysis: Understanding Inverse Problem Theory and Practice Book in PDF, ePub and Kindle
This publication is designed to provide a practical understanding of methods of parameter estimation and uncertainty analysis. The practical problems covered range from simple processing of time- and space-series data to inversion of potential field, seismic, electrical, and electromagnetic data. The various formulations are reconciled with field data in the numerous examples provided in the book; well-documented computer programmes are also given to show how easy it is to implement inversion algorithms.
| Author | : Michael S Zhdanov |
| Publisher | : Elsevier |
| Total Pages | : 635 |
| Release | : 2002-04-24 |
| Genre | : Science |
| ISBN | : 0080532500 |
Download Geophysical Inverse Theory and Regularization Problems Book in PDF, ePub and Kindle
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.
| Author | : Caiyun Liu |
| Publisher | : Scientific Research Publishing, Inc. USA |
| Total Pages | : 200 |
| Release | : 2018-04-01 |
| Genre | : Science |
| ISBN | : 1618965263 |
Download Geophysical Inversion Theory and Global Optimization Methods Book in PDF, ePub and Kindle
Geophysical inversion is an ill-posed problem. Classical local search method for inversion is depend on initial guess and easy to be trapped in local optimum. The global optimization is a group of novel methods to deal with the problems mentioned above. The book introduces the geophysical inversion theory, including the classical solving approaches firstly. Then, it introduces several typical global inversion approaches including particle swarm optimization (PSO), differential evolution (DE), and multiobjective optimization methods, as well as some examples to inverse the geophysical data, such as gravity, MT sounding, well logging, self-potential, seismic data, using these global optimization approaches.
| Author | : Laurence R. Lines |
| Publisher | : |
| Total Pages | : 572 |
| Release | : 1988 |
| Genre | : Geological modeling |
| ISBN | : |
Download Inversion of Geophysical Data Book in PDF, ePub and Kindle
