Models And Methods Of Magnetotellurics

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Models And Methods Of Magnetotellurics

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Author : Mark N. Berdichevsky
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-07-15

Models And Methods Of Magnetotellurics written by Mark N. Berdichevsky and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-15 with Science categories.

Magnetotellurics is finding increasing applications for imaging electrically conductive structures below the Earth`s surface - in both industrial and academic research projects. In this book the authors provide a systematic approach to understanding the modern theory of ill-posed problems which is essential to making confident meaningful interpretations of magnetotelluric and magnetovariational soundings. The interpretation is conducted in an interactive way.

The Magnetotelluric Method

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Author : Alan D. Chave
language : en
Publisher: Cambridge University Press
Release Date : 2012-04-26

The Magnetotelluric Method written by Alan D. Chave and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-26 with Science categories.

A rigorous introduction to magnetotelluric imaging of Earth's electrical conductivity and structure, for researchers, advanced students and industrial practitioners.

Magnetotellurics In The Context Of The Theory Of Ill Posed Problems

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Author : Mark Naumovich Berdichevskiĭ
language : en
Publisher: SEG Books
Release Date : 2002

Magnetotellurics In The Context Of The Theory Of Ill Posed Problems written by Mark Naumovich Berdichevskiĭ and has been published by SEG Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Science categories.

This volume serves as an introduction to modern magnetotellurics originating with the pioneering work of Tikhonov and Cagniard. It presents a comprehensive summary of theoretical and methodological aspects of magnetotellurics. It provides a bridge between textbooks on electrical prospecting and numerous papers on magnetotelluric methods scattered among various geophysical journals and collections. The book has been written in the terms of the theory of ill-posed problems and contains a special chapter encouraging readers to master the elements of this theory that defines the philosophy of the physical experiment. The book thus offers the connected and consistent account of the principles of magnetotellurics from that single viewpoint. The book also brings together developments from many sources and involves some little-known results developed in Russia in Tikhonov's magnetotellurics school. Of particular interest are concluding chapters of the book that demonstrate the potential of magnetotellurics in oil and gas surveys, including discovery of the Urengoy gas field in Western Siberia, one of the largest gas fields in the world. This potential also is revealed in studies of the earth's crust and upper mantle.

Practical Magnetotellurics

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Author : Fiona Simpson
language : en
Publisher: Cambridge University Press
Release Date : 2005-02-03

Practical Magnetotellurics written by Fiona Simpson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-02-03 with Science categories.

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Magnetotelluric Modeling Techniques

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Author : Frederick William Patrick
language : en
Publisher:
Release Date : 1969

Magnetotelluric Modeling Techniques written by Frederick William Patrick and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Earth currents categories.

The process of finding one-dimensional Cagniard models to fit experimental magnetotelluric data in a least squares sense is investigated. A modification to the Newton-Raphson method for non-linear regression is developed. This method together with the gradient method is applied to data generated from exact models and is shown to be successful, provided certain conditions on the significance of the model parameters are met. A finite difference scheme for two-dimensional models is developed. The model is restricted to be a layered model in which one of the layers possesses a lateral inhomogeneity. Boundary conditions are applied in such a way as to allow eigenfunction expansions to be written in the homogeneous layers. This in turn allows proper boundary conditions to be applied at the air-earth interface and at infinity. For the scheme which is used, the finite difference equations are written only in the anomalous layer and are solved using a direct method. Results are presented for both the transverse electric and transverse magnetic polarizations for a typical model. The impedances generated from this model are used as experimental data to demonstrate the effect of fitting data generated from a two-dimensional earth with one-dimensional models. (Author).

Some Magnetotelluric Modeling Techniques

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Author : William Victor Berge
language : en
Publisher:
Release Date : 1968

Some Magnetotelluric Modeling Techniques written by William Victor Berge and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Earth currents categories.

Two Dimensional Modeling And Inversion Of The Controlled Source Electromagnetic And Magnetotelluric Methods Using Finite Elements And Full Space Pde Constrained Optimization Strategies

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Author : Savitri Galiana Blanch
language : en
Publisher:
Release Date : 2016

Two Dimensional Modeling And Inversion Of The Controlled Source Electromagnetic And Magnetotelluric Methods Using Finite Elements And Full Space Pde Constrained Optimization Strategies written by Savitri Galiana Blanch and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with categories.

"The controlled-source electromagnetics (CSEM) and magnetotellurics (MT) methods arecommon geophysical tools for imaging the electrical properties of the Earth's subsurfaceand are employed independently, jointly, and in combination with other geophysical tech-niques. In order to appreciate measured data, both methods require forward and inversemodeling of the electrically conductive subsurface with the ultimate goal of finding a fea-sible model for which the simulated data reasonably fits the observations. Naturally, thepotential goodness of this fit not only depends on the error in the measured data and on thenumerical error but also on the degree of physical approximation inferred by numericalmodeling. Therefore, active research focuses on new methods for modeling and inversionto obtain accurate and reliable models of the Earth's structure in increasingly complexscenarios. A first step is to enhance modeling approximations by taking into account physical fac-tors such as anisotropy, topography or realistic sources. Second, in order to accommodatethese factors in a modeling and inversion program and to deal with typically large datasets, numerical methods need to be assessed in terms of solution accuracy, time efficiencyand memory demand. The finite elements (FE) modeling methods are known to offer mostflexibility in model geometry and contain quality control mechanisms for the solution, likeshape function order and adaptive mesh refinement. Most emerging modeling programsare based on FE, appreciating significant advantages, but nearly all inverse modeling pro-grams to date are still based on finite differences (FD) or integral equation (IE) methods. Furthermore, inverse modeling developed for electromagnetic (EM) data is generallybased on gradient methods and is formulated in a reduced space, where the only optimiza-tion variables are the model parameters, that is the electric conductivity of the subsurface. Originally, the inverse problem is stated for the EM fields and the conductivity parameter, and constrained by partial differential equations (PDEs) governing the EM field variables. The reduced-space strategy eliminates the field variables by applying equality constraintsand solving then, the unconstrained problem in the reduced-space of model parameters. Acommon drawback of such methods is the repeated costly computation of the solution ofthe forward problem and of the Jacobian matrix of sensitivities (for Newton's based meth-ods). In contrast, it is also possible to solve the inverse problem in the full-space of modelparameters, including both the EM field variables and the electric conductivity parameter. Solving the PDE-constrained optimization problem directly (full-space) has the advantagethat it is only necessary to solve exactly the PDEs at the very end of the optimization provicess but it comes at the cost of many more optimization variables and of the presence ofequality constraints. Also, in particular, within a FE framework, the PDE-constrained op-timization problem provides the additional benefit to include sophisticated FE techniquesin the inversion process, such as adaptive mesh refinement. This thesis develops a robust and versatile adaptive unstructured mesh FE programto numerically model the total field for two-dimensional (2-D) anisotropic CSEM and MTdata, allowing for arbitrarily oriented, three-dimensional (3-D) sources. To represent 3-DCSEM sources for a 2-D physical model, a two-and-a-half-dimensional (2.5-D) approxi-mation is employed. The FE formulations are derived for both methods, for isotropic andanisotropic subsurface conductivity structures. Although the anisotropic case is not general, it includes vertical and dipping anisotropy. The accuracy of the solution is controlledand improved by an adaptive mesh refinement algorithm usinga-posteriorierror estimator methods."--TDX.

Encyclopedia Of Geomagnetism And Paleomagnetism

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Author : David Gubbins
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-07-19

Encyclopedia Of Geomagnetism And Paleomagnetism written by David Gubbins and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-19 with Science categories.

This reference encompasses the fields of Geomagnetism and Paleomagnetism in a single volume. Both sciences have applications in navigation, in the search for minerals and hydrocarbons, in dating rock sequences, and in unraveling past geologic movements such as plate motions they have contributed to a better understanding of the Earth. The book describes in fine detail the current state of knowledge and provides an up-to-date synthesis of the most basic concepts. It is an indispensable working tool not only for geophysicists and geophysics students but also for geologists, physicists, atmospheric and environmental scientists, and engineers.

Inversion Of Magnetotelluric Data For A One Dimensional Conductivity

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Author : Kenneth Patrick Whittall
language : en
Publisher:
Release Date : 1992

Inversion Of Magnetotelluric Data For A One Dimensional Conductivity written by Kenneth Patrick Whittall and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.

Three Dimensional Controlled Source Electromagnetic And Magnetotelluric Joint Inversion

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Author :
language : en
Publisher:
Release Date : 2009

Three Dimensional Controlled Source Electromagnetic And Magnetotelluric Joint Inversion written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.

The growing use of the controlled-source electromagnetic method (CSEM) and magnetotellurics (MT) for exploration applications has been driving the development of data acquisition technologies, and three-dimensional (3-D) modeling and imaging techniques. However, targeting increasingly complex geological environments also further enhances the problems inherent in large-scale inversion, such as non-uniqueness and resolution issues. In this paper, we report on two techniques to mitigate these problems. We use 3-D joint CSEM and MT inversion to improve the model resolution. To avoid the suppression of the resolution capacities of one data type, and thus to balance the use of inherent, and ideally complementary information content, different data reweighting schemes are proposed. Further, a hybrid model parameterization approach is presented, where traditional cell-based model parameters are used simultaneously within a parametric inversion. The idea is to limit the non-uniqueness problem, typical for 3-D imaging problems, in order to allow for a more focusing inversion. The methods are demonstrated using synthetic data generated from models with a strong practical relevance.