Michael S. Zhdanov – författare

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.

"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.

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

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

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

Active Geophysical Monitoring covers the praxis of active geophysical monitoring in a broad range of applications, Including CCUS, hydrocarbon/geothermal reservoir development and management, groundwater, earthquake monitoring, and more. The editors and contributing authors thoroughly examine the latest developments and technologies in this new edition.The text begins with an in-depth overview of active geophysical monitoring, followed by a close look at active targets and the latest technology. The theory of data analysis and interpretation follows in detail. The text closes with 15 case histories in signal processing as well as carbon captureand storage.This updated edition is an invaluable resource for geophysicists employing a range of monitoring applications. - Explains the general concepts of active geophysical monitoring and the relevant historical background- Describes worldwide efforts of active geophysical monitoring and provides a perspective view on worldwide development- Updated for the last decade's development and the latest technologies

Active Geophysical Monitoring covers the praxis of active geophysical monitoring in a broad range of applications, Including CCUS, hydrocarbon/geothermal reservoir development and management, groundwater, earthquake monitoring, and more. The editors and contributing authors thoroughly examine the latest developments and technologies in this new edition.The text begins with an in-depth overview of active geophysical monitoring, followed by a close look at active targets and the latest technology. The theory of data analysis and interpretation follows in detail. The text closes with 15 case histories in signal processing as well as carbon captureand storage.This updated edition is an invaluable resource for geophysicists employing a range of monitoring applications.

Explains the general concepts of active geophysical monitoring and the relevant historical backgroundDescribes worldwide efforts of active geophysical monitoring and provides a perspective view on worldwide developmentUpdated for the last decade’s development and the latest technologies

Foundations of Geophysical Electromagnetic Theory and Methods, Third Edition provides a comprehensive treatment of electromagnetic (EM) theory and its applications in geophysics. This updated edition incorporates more than a decade of advances in theoretical developments, numerical modeling, and practical EM surveying while maintaining the clarity and rigor of previous editions. The book begins with an introduction to field theory, including the differential calculus of vector fields and foundational principles underlying classical electromagnetic formulations. It then reviews the core elements of EM theory, covering Maxwell’s equations, models of EM induction in the Earth, and the behavior of electromagnetic fields in heterogeneous media.Subsequent chapters address the inversion and imaging of EM data, discussing the theory of ill-posed inverse problems, regularization strategies, electromagnetic inversion methodologies, and migration techniques used to construct subsurface images. The volume then turns to applied geophysical methods, examining the electromagnetic properties of rocks and minerals, the generation and measurement of EM fields, and survey techniques across a range of domains, including direct current, induced polarization, natural-field EM, controlled-source EM, and marine and airborne EM methods. A set of case studies illustrates the practical use of EM methods in geophysics, including mineral and energy resource exploration.Presents theoretical and methodological foundations of geophysical field theoryIllustrates the current state-of-the-art in EM geophysical technologyDiscusses the practical aspects of EM exploration for mineral and energy resources, including a variety of diverse case studies

Foundations of Geophysical Electromagnetic Theory and Methods, Third Edition provides a comprehensive treatment of electromagnetic (EM) theory and its applications in geophysics. This updated edition incorporates more than a decade of advances in theoretical developments, numerical modeling, and practical EM surveying while maintaining the clarity and rigor of previous editions. The book begins with an introduction to field theory, including the differential calculus of vector fields and foundational principles underlying classical electromagnetic formulations. It then reviews the core elements of EM theory, covering Maxwell's equations, models of EM induction in the Earth, and the behavior of electromagnetic fields in heterogeneous media.Subsequent chapters address the inversion and imaging of EM data, discussing the theory of ill-posed inverse problems, regularization strategies, electromagnetic inversion methodologies, and migration techniques used to construct subsurface images. The volume then turns to applied geophysical methods, examining the electromagnetic properties of rocks and minerals, the generation and measurement of EM fields, and survey techniques across a range of domains, including direct current, induced polarization, natural-field EM, controlled-source EM, and marine and airborne EM methods. A set of case studies illustrates the practical use of EM methods in geophysics, including mineral and energy resource exploration. - Presents theoretical and methodological foundations of geophysical field theory- Illustrates the current state-of-the-art in EM geophysical technology- Discusses the practical aspects of EM exploration for mineral and energy resources, including a variety of diverse case studies

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 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 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, 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

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

Integral Transforms of Geophysical Fields serve as one ofthe major tools for processing and interpreting geophysicaldata. In this book the authors present a unified treatmentof 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 seismicfields. Of interest primarily to scientists and post-gradu-ate students engaged in gravimetrics, but also useful togeophysicists and researchers in mathematical physics.

Integral Transforms of Geophysical Fields serve as one ofthe major tools for processing and interpreting geophysicaldata. In this book the authors present a unified treatmentof 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 seismicfields. Of interest primarily to scientists and post-gradu-ate students engaged in gravimetrics, but also useful togeophysicists and researchers in mathematical physics.

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.

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.