Inverse Theory And Applications In Geophysics

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Author: Michael S. Zhdanov
Publisher: Elsevier
ISBN: 044462712X
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Inverse Theory And Applications In Geophysics by Michael S. Zhdanov


Original Title: Inverse Theory And Applications In Geophysics

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.

Geophysical Inverse Theory And Regularization Problems

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Author: Michael S. Zhdanov
Publisher: Elsevier
ISBN: 9780080532509
Size: 52.65 MB
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Geophysical Inverse Theory And Regularization Problems by Michael S. Zhdanov


Original Title: Geophysical Inverse Theory And Regularization Problems

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.

Geophysical Electromagnetic Theory And Methods

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Author: Michael S. Zhdanov
Publisher: Elsevier
ISBN: 9780080931760
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Geophysical Electromagnetic Theory And Methods by Michael S. Zhdanov


Original Title: Geophysical Electromagnetic Theory And Methods

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 practical aspects of EM exploration for mineral and energy resources. This text is unique in its breadth and completeness in providing an overview of EM geophysical exploration technology. The book is divided into four parts covering the foundations of EM field theory and its applications, and emerging geophysical methods. Part I is an introduction to the field theory required for baseline understanding. Part II is an overview of all the basic elements of geophysical EM theory, from Maxwell's fundamental equations to modern methods of modeling the EM field in complex 3-D geoelectrical formations. Part III deals with the regularized solution of ill-posed inverse electromagnetic problems, the multidimensional migration and imaging of electromagnetic 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, including minerals 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

Three Dimensional Electromagnetics

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Author: P.E. Wannamaker
Publisher: Elsevier
ISBN: 9780080542997
Size: 40.29 MB
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Three Dimensional Electromagnetics by P.E. Wannamaker


Original Title: Three Dimensional Electromagnetics

"3-D modeling and inversion is a reality, and not an illusion." This is the clear conclusion of the Second International Symposium on Three-Dimensional Electromagnetics held at the University of Utah in 1999. Containing papers submitted by 36 authors, this volume, by the sheer number of works, their diversity, and the truly international character of the efforts attests to the vigor with which the problems of the field are pursued today. The papers in this book are grouped in three parts: 3-D EM modeling; 3-D EM inversion; and 3-D EM in practice. They cover a wide range of topics in forward modeling and inversion based on new fast approximate approaches and new efficient solutions by integral equation, finite difference and finite elements techniques. If the 1980s were the decade of rapid development in 3D seismics, the 1990s became the decade of growing interest of practical geophysicists in 3D EM modeling and inversion methods. The contributions contained in this volume represent a snapshot of today's state-of-the-art in three-dimensional electromagnetics.

Theory And Application Of Spectral Induced Polarization

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Author: Yanzhang Luo
Publisher: SEG Books
ISBN: 1560800488
Size: 22.75 MB
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Theory And Application Of Spectral Induced Polarization by Yanzhang Luo


Original Title: Theory And Application Of Spectral Induced Polarization

The authors review spectral induced polarization theory and describe some of the SIP method's applications through a discussion of their research in the People's Republic of China. In the first of four chapters, they discuss the electrochemical basis of SIP, offering proof of the validity of using the Cole-Cole model for describing complex resistivity spectra. In the next chapter, which addresses the SIP forward problem, they describe the scale-modeling laws for SIP, various forward algorithms, the behavior and variation laws of SIP anomalies, and effective SIP parameters. The third chapter discusses SIP inversion methods, including several methods of calculating the intrinsic spectral parameters of a polarizable body. In the final chapter, the authors describe their field tests applying the SIP method to prospecting for orebodies and oil and gas reservoirs. The material is introduced in part through a reprinting of a 1959 paper by Volume Editor James R. Wait titled 'The Variable Frequency Method."

Principles Of Electromagnetic Methods In Surface Geophysics

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Author: Alex A. Kaufman
Publisher: Newnes
ISBN: 0444538305
Size: 80.80 MB
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Principles Of Electromagnetic Methods In Surface Geophysics by Alex A. Kaufman


Original Title: Principles Of Electromagnetic Methods In Surface Geophysics

Principles of Electromagnetic Methods in Surface Geophysics contains information about the theory of electromagnetic fields in a conducting media. It describes the theoretical and physical principles of the main geophysical methods using electromagnetic fields, including frequency and transient soundings, electromagnetic profiling, and magnetotelluric soundings. Special attention is paid to models and signal processing methods used in modern exploration geophysics for groundwater, mineral and hydrocarbon exploration. Offers an integrated approach to the description of electromagnetic geophysical fields used for surface geophysical surveys Provides a clear introduction to the physical background of electromagnetic methods and their application Rounds off the treatment of the main geophysical methods: gravity, magnetic seismic, electric and electromagnetic methods

Electromagnetic Sounding Of The Earth S Interior

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Author: Viacheslav V. Spichak
Publisher: Elsevier
ISBN: 9780080466866
Size: 15.60 MB
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Electromagnetic Sounding Of The Earth S Interior by Viacheslav V. Spichak


Original Title: Electromagnetic Sounding Of The Earth S Interior

Based on lectures given in the First Russian School-Seminar on electromagnetic soundings of the Earth held in Moscow on 15th November, 2003, this book acquaints scientists and technologists with the latest achievements in theory, techniques and practical applications of the methods of electromagnetic sounding. This three part text covers the methods considered for Earth electromagnetic sounding on a global, regional, and local scale; modern methods for solving forward and inverse problems of geoelectrics, particularily contemporary approaches to the EM data modeling and interpretation in the class of three-dimensional models; and the results of regional EM on-land and sea soundings * 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-electriccal methods and the practice of 3D interpretaions

Integral Transforms In Geophysics

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Author: Michael S. Zhdanov
Publisher: Springer Science & Business Media
ISBN: 3642726283
Size: 56.80 MB
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Integral Transforms In Geophysics by Michael S. Zhdanov


Original Title: Integral Transforms In Geophysics

Integral Transforms of Geophysical Fields serve as one of the major tools for processing and interpreting geophysical data. In this book the authors present a unified treatment of this theory, ranging from the techniques of the transfor- mation of 2-D and 3-D potential fields to the theory of se- paration and migration of electromagnetic and seismic fields. Of interest primarily to scientists and post-gradu- ate students engaged in gravimetrics, but also useful to geophysicists and researchers in mathematical physics.

Acoustic And Elastic Wave Fields In Geophysics

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Author: Alexander A. Kaufman
Publisher: Elsevier
ISBN: 0080457681
Size: 16.23 MB
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Acoustic And Elastic Wave Fields In Geophysics by Alexander A. Kaufman


Original Title: Acoustic And Elastic Wave Fields In Geophysics

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

Geophysical Data Analysis Discrete Inverse Theory

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Author: William Menke
Publisher: Academic Press
ISBN: 0323141285
Size: 48.42 MB
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Geophysical Data Analysis Discrete Inverse Theory by William Menke


Original Title: Geophysical Data Analysis Discrete Inverse Theory

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.

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