Geophysical Inverse Theory And Regularization Problems

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Geophysical Inverse Theory And Regularization Problems

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Author : Michael S. Zhdanov
language : en
Publisher: Elsevier
Release Date : 2002-04-24

Geophysical Inverse Theory And Regularization Problems written by Michael S. Zhdanov and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-04-24 with Science categories.

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.

Inverse Theory And Applications In Geophysics

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Author : Michael S. Zhdanov
language : en
Publisher: Elsevier
Release Date : 2015-07-15

Inverse Theory And Applications In Geophysics written by Michael S. Zhdanov and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-15 with Science categories.

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

Foundations Of Geophysical Electromagnetic Theory And Methods

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Author : Michael S. Zhdanov
language : en
Publisher: Elsevier
Release Date : 2017-10-26

Foundations Of Geophysical Electromagnetic Theory And Methods written by Michael S. Zhdanov and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-26 with Science categories.

Foundations of Geophysical Electromagnetic Theory and Methods, Second Edition, builds on the strength of the first edition to offer a systematic exposition of geophysical electromagnetic theory and methods. This new edition highlights progress made over the last decade, with a special focus on recent advances in marine and airborne electromagnetic methods. Also included are recent case histories on practical applications in tectonic studies, mineral exploration, environmental studies and off-shore hydrocarbon exploration. The book is ideal for geoscientists working in all areas of geophysics, including exploration geophysics and applied physics, as well as graduate students and researchers working in the field of electromagnetic theory and methods. - Presents theoretical and methodological foundations of geophysical field theory - Synthesizes fundamental theory and the most recent achievements of electromagnetic (EM) geophysical methods in the framework of a unified systematic exposition - Offers a unique breadth and completeness in providing a general picture of the current state-of-the-art in EM geophysical technology - Discusses practical aspects of EM exploration for mineral and energy resources

Geophysical Inversion Theory And Global Optimization Methods

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Author : Caiyun Liu
language : en
Publisher: Scientific Research Publishing, Inc. USA
Release Date : 2018-04-01

Geophysical Inversion Theory And Global Optimization Methods written by Caiyun Liu and has been published by Scientific Research Publishing, Inc. USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-01 with Science categories.

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.

Artificial Neural Networks And Machine Learning Icann 2016

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Author : Alessandro E.P. Villa
language : en
Publisher: Springer
Release Date : 2016-08-26

Artificial Neural Networks And Machine Learning Icann 2016 written by Alessandro E.P. Villa and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-26 with Computers categories.

The two volume set, LNCS 9886 + 9887, constitutes the proceedings of the 25th International Conference on Artificial Neural Networks, ICANN 2016, held in Barcelona, Spain, in September 2016. The 121 full papers included in this volume were carefully reviewed and selected from 227 submissions. They were organized in topical sections named: from neurons to networks; networks and dynamics; higher nervous functions; neuronal hardware; learning foundations; deep learning; classifications and forecasting; and recognition and navigation. There are 47 short paper abstracts that are included in the back matter of the volume.

Geophysical Electromagnetic Theory And Methods

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Author : Michael S. Zhdanov
language : en
Publisher: Elsevier
Release Date : 2009-06-12

Geophysical Electromagnetic Theory And Methods written by Michael S. Zhdanov and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-12 with Science categories.

In this book the author presents the state-of-the-art electromagnetic (EM)theories and methods employed in EM geophysical exploration.The book brings together the fundamental theory of EM fields and the practicalaspects of EM exploration for mineral and energy resources.This text is unique in its breadth and completeness in providing anoverview of EM geophysical exploration technology. The book is divided into four parts covering the foundations of EMfield theory and its applications, and emerging geophysical methods.Part I is an introduction to the field theory required for baselineunderstanding. Part II is an overview of all the basic elements ofgeophysical EM theory, from Maxwell's fundamental equations to modernmethods of modeling the EM field in complex 3-D geoelectrical formations. Part III deals with the regularized solution of ill-posedinverse electromagnetic problems, the multidimensional migration and imaging ofelectromagnetic data, and general interpretation techniques. Part IV describes major geophysical electromagnetic methods—direct current (DC), induced polarization (IP), magnetotelluric(MT), and controlled-source electromagnetic (CSEM) methods—and covers different applications of EM methods in exploration geophysics, includingminerals and HC exploration, environmental study, and crustal study. - Presents theoretical and methodological findings, as well as examples of applications of recently developed algorithms and software in solving practical problems - Describes the practical importance of electromagnetic data through enabling discussions on a construction of a closed technological cycle, processing, analysis and three-dimensional interpretation - Updates current findings in the field, especially with MT, magnetovariational and seismo-electrical methods and the practice of 3D interpretations

Geophysical Potential Fields

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Author : Lev Eppelbaum
language : en
Publisher: Elsevier
Release Date : 2019-07-18

Geophysical Potential Fields written by Lev Eppelbaum and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-18 with Science categories.

Geophysical Potential Fields: Geological and Environmental Applications, Volume Two, investigates the similarities and differences of potential geophysical fields, including gravity, magnetics, temperature, resistivity and self-potential, along with the influence of noise on these fields. As part of the Computational Geophysics series, this volume provides computational examples and methods for effectively solving geophysical problems in a full cycle manner. Including both quantitative and qualitative analysis, the book offers different filtering and transformation procedures, integrated analysis, and special interpretation methodologies, also presenting a developed 3D algorithm for combined modeling of gravity and magnetic fields in complex environments. The book also includes applications of the unified potential field system, such as studying deep structure, searching hydrocarbon and ore deposits, localizing buried water horizons and rockslide areas, tectono-structural mapping of water basins, and classifying archaeological targets. It is an ideal and unique resource for geophysicists, exploration geologists, archaeologists and environmental scientists. - Clearly demonstrates the successive stages of geophysical field analysis for different geological and environmental targets - Provides a unified system for potential geophysical field analysis that is demonstrated by numerous examples of system application - Demonstrates the possibilities for rapidly and effectively interpreting anomalies, receiving some knowledge of modern wavelet, diffusion maps and informational approach applications in geophysics, and combined gravity-magnetic methodology of 3D modeling - Includes text of the Geological Space Field Calculation (GSFC) software intended for 3D combined modeling of gravity and magnetic fields in complex environments

Advanced Methods Of Joint Inversion And Fusion Of Multiphysics Data

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Author : Michael S. Zhdanov
language : en
Publisher: Springer Nature
Release Date : 2023-12-28

Advanced Methods Of Joint Inversion And Fusion Of Multiphysics Data written by Michael S. Zhdanov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-28 with Science categories.

Different physical or geophysical methods provide information about distinctive physical properties of the objects, e.g., rock formations and mineralization. In many cases, this information is mutually complementary, which makes it natural for consideration in a joint inversion of the multiphysics data. Inversion of the observed data for a particular experiment is subject to considerable uncertainty and ambiguity. One productive approach to reducing uncertainty is to invert several types of data jointly. Nonuniqueness can also be reduced by incorporating additional information derived from available a priori knowledge about the target to reduce the search space for the solution. This additional information can be incorporated in the form of a joint inversion of multiphysics data. Generally established joint inversion methods, however, are inadequate for incorporating typical physical or geological complexity. For example, analytic, empirical, or statistical correlations between different physical properties may exist for only part of the model, and their specific form may be unknown. Features or structures that are present in the data of one physical method may not be present in the data generated by another physical method or may not be equally resolvable. This book presents and illustrates several advanced, new approaches to joint inversion and data fusion, which do not require a priori knowledge of specific empirical or statistical relationships between the different model parameters or their attributes. These approaches include the following novel methods, among others: 1) the Gramian method, which enforces the correlation between different parameters; 2) joint total variation functional or joint focusing stabilizers, e.g., minimum support and minimum gradient support constraints; 3) data fusion employing a joint minimum entropy stabilizer, which yields the simplest multiphysics solution that fits the multi-modal data. In addition, the book describes the principles of using artificial intelligence (AI) in solving multiphysics inverse problems. The book also presents in detail both the mathematical principles of these advanced approaches to joint inversion of multiphysics data and successful case histories of regional-scale and deposit-scale geophysical studies to illustrate their indicated advantages.

Active Geophysical Monitoring

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Author : Hitoshi Mikada
language : en
Publisher: Elsevier
Release Date : 2019-10-05

Active Geophysical Monitoring written by Hitoshi Mikada and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-05 with Science categories.

Active Geophysical Monitoring, Second Edition, presents a key method for studying time-evolving structures and states in the tectonically active Earth's lithosphere. Based on repeated time-lapse observations and interpretation of rock-induced changes in geophysical fields periodically excited by controlled sources, active geophysical monitoring can be applied to a variety of fields in geophysics, from exploration, to seismology and disaster mitigation. This revised edition presents the results of strategic systematic development and the application of new technologies. It demonstrates the impact of active monitoring on solid Earth geophysics, also delving into key topics, such as carbon capture and storage, geodesy, and new technological tools. This book is an essential for graduate students, researchers and practitioners across geophysics. - Outlines the general concepts of active geophysical monitoring with powerful seismic vibrators and MHD generators - Provides historical background for previous studies of seismically active zones - Covers the theory and technology of active monitoring, including signal processing, data analysis, novel approaches to numerical modeling, and interpretation - Discusses case histories and presents the results of worldwide, regional active monitoring experiments - Thoroughly updated to include recent developments, such as updates relating to carbon capture and storage, microgravity, InSAR technologies, geodesy, reservoir monitoring, seismic reflection, and more

Computational Methods For Applied Inverse Problems

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Author : Yanfei Wang
language : en
Publisher: Walter de Gruyter
Release Date : 2012-10-30

Computational Methods For Applied Inverse Problems written by Yanfei Wang and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-30 with Mathematics categories.

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.