Inverse Magnetometry
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| Author | : Christian Blick |
| Publisher | : Springer Nature |
| Total Pages | : 114 |
| Release | : 2021-09-08 |
| Genre | : Mathematics |
| ISBN | : 303079508X |
This monograph presents the geoscientific context arising in decorrelative geomagnetic exploration. First, an insight into the current state of research is given by reducing magnetometry to mathematically accessible, and thus calculable, decorrelated models. In this way, various questions and problems of magnetometry are made available to a broad scientific audience and the exploration industry. New stimuli are given, and innovative ways of modeling geologic strata by mollifier magnetometric techniques are shown. Potential data sets primarily of terrestrial origin constitute the main data basis in the book. For deep geology, the geomathematical decorrelation methods are designed in such a way that depth information (e.g., in boreholes) may be canonically entered. Overall, this book provides pioneering and ground-breaking innovative mathematical knowledge as a transfer methodology from the “reality space” of magnetometric measurements into the “virtual space” of mathematical-numerical modeling structures and mollifier solutions with novel geological application areas. It pursues a double goal: On the one hand, it represents a geoscientific set of rules for today's geoengineering, interested in the application of innovative modelling and simulation techniques to promising data sets and structures occurring in geomagnetics. On the other hand, the book serves as a collection of current material in Applied Mathematics to offer alternative methodologies in the theory of inverse problems.
| Author | : Danis Nurgaliev |
| Publisher | : Springer |
| Total Pages | : 405 |
| Release | : 2019-02-01 |
| Genre | : Science |
| ISBN | : 3319976702 |
This volume offers an overview of the state-of-the-art theoretical and practical approaches currently used for geophysical data interpretation. It includes new methods and techniques for solving data processing problems, and an analysis of geopotential fields by international researchers. It discusses topics such as: 1. Theoretical issues of interpretation of gravitational, magnetic and electric fields, including general methods of interpreting potential fields and other geophysical data. 2. Modern algorithms and computer technologies for interpretating geophysical fields. 3. The study of Earth deep structure using terrestrial and satellite potential field anomalies. 4. Geological interpretation of gravitational, magnetic and electric fields. This proceedings book is of interest to all geophysical researchers.
| Author | : Larisa Beilina |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 206 |
| Release | : 2013-08-15 |
| Genre | : Science |
| ISBN | : 1461478162 |
This proceedings volume is based on papers presented at the First Annual Workshop on Inverse Problems which was held in June 2011 at the Department of Mathematics, Chalmers University of Technology. The purpose of the workshop was to present new analytical developments and numerical methods for solutions of inverse problems. State-of-the-art and future challenges in solving inverse problems for a broad range of applications was also discussed. The contributions in this volume are reflective of these themes and will be beneficial to researchers in this area.
| Author | : Ahmed A. El Gendy |
| Publisher | : Elsevier |
| Total Pages | : 394 |
| Release | : 2018-06-29 |
| Genre | : Science |
| ISBN | : 0128139056 |
Magnetic Nanostructured Materials: From Lab to Fab presents a complete overview of the translation of nanostructured materials into realistic applications, drawing on the most recent research in the field to discuss the fundamentals, synthesis and characterization of nanomagnetics. A wide spectrum of nanomagnetic applications is included, covering industrial, environmental and biomedical fields, and using chemical, physical and biological methods. Materials such as Fe, Co, CoxC, MnGa, GdSi, ferrite nanoparticles and thin films are highlighted, with their potential applications discussed, such as magnetic refrigeration, energy harvesting, magnetic sensors, hyperthermia, MRI, drug delivery, permanent magnets, and data storage devices. Offering interdisciplinary knowledge on the materials science of nanostructured materials and magnetics, this book will be of interest to researchers in materials science, engineering, physics and chemistry with interest in magnetic nanomaterials, as well as postgraduate students and professionals in industry and government. - Provides interdisciplinary knowledge on the materials science of nanostructured materials and magnetics - Aids in the understanding of complex fundamentals and synthesis methods for magnetic nanomaterials - Includes examples of real applications - Shows how laboratory work on magnetic nanoparticles connects to industrial implementation and applications
| Author | : Willi Freeden |
| Publisher | : Springer Nature |
| Total Pages | : 482 |
| Release | : 2021-05-12 |
| Genre | : Mathematics |
| ISBN | : 3030699099 |
This monograph presents the geoscientific context arising in decorrelative gravitational exploration to determine the mass density distribution inside the Earth. First, an insight into the current state of research is given by reducing gravimetry to mathematically accessible, and thus calculable, decorrelated models. In this way, the various unresolved questions and problems of gravimetry are made available to a broad scientific audience and the exploration industry. New theoretical developments will be given, and innovative ways of modeling geologic layers and faults by mollifier regularization techniques are shown. This book is dedicated to surface as well as volume geology with potential data primarily of terrestrial origin. For deep geology, the geomathematical decorrelation methods are to be designed in such a way that depth information (e.g., in boreholes) may be canonically entered. Bridging several different geo-disciplines, this book leads in a cycle from the potential measurements made by geoengineers, to the cleansing of data by geophysicists and geoengineers, to the subsequent theory and model formation, computer-based implementation, and numerical calculation and simulations made by geomathematicians, to interpretation by geologists, and, if necessary, back. It therefore spans the spectrum from geoengineering, especially geodesy, via geophysics to geomathematics and geology, and back. Using the German Saarland area for methodological tests, important new fields of application are opened, particularly for regions with mining-related cavities or dense development in today's geo-exploration.
| Author | : Willi Freeden |
| Publisher | : American Mathematical Society |
| Total Pages | : 505 |
| Release | : 2023-08-21 |
| Genre | : Mathematics |
| ISBN | : 1470473453 |
The goal of this book is to introduce the reader to methodologies in recovery problems for objects, such as functions and signals, from partial or indirect information. The recovery of objects from a set of data demands key solvers of inverse and sampling problems. Until recently, connections between the mathematical areas of inverse problems and sampling were rather tenuous. However, advances in several areas of mathematical research have revealed deep common threads between them, which proves that there is a serious need for a unifying description of the underlying mathematical ideas and concepts. Freeden and Nashed present an integrated approach to resolution methodologies from the perspective of both these areas. Researchers in sampling theory will benefit from learning about inverse problems and regularization methods, while specialists in inverse problems will gain a better understanding of the point of view of sampling concepts. This book requires some basic knowledge of functional analysis, Fourier theory, geometric number theory, constructive approximation, and special function theory. By avoiding extreme technicalities and elaborate proof techniques, it is an accessible resource for students and researchers not only from applied mathematics, but also from all branches of engineering and science.
| Author | : Sven-Erik Hjelt |
| Publisher | : Springer |
| Total Pages | : 268 |
| Release | : 2006-04-10 |
| Genre | : Science |
| ISBN | : 3540472630 |
Geophysical measurements are not done for the sake of art only. The ultimategoal is to solve some well-defined geological, tectonical or structural problems. For this purpose, the data have to be interpreted, translated, into a physical model of the subsurface. ... This book describes some ofthe most important common features of different geophysical data sets. (fromthe Introduction) Users at universities but also practitioners in exploration, physics or environmental sciences, wherever signal processing is necessary, will benefit from this textbook.
| Author | : F. G. Merrifield |
| Publisher | : Elsevier |
| Total Pages | : 198 |
| Release | : 2014-05-09 |
| Genre | : Science |
| ISBN | : 1483180549 |
Ship Magnetism and the Magnetic Compass deals with the magnetism of ships and the deviation of the magnetic compass produced by this magnetism. Emphasis is placed on the distinction between the deviation itself and what causes the deviation. Numerous worked examples for exercise are found at the end of each chapter. Comprised of 15 chapters, this volume begins with an introduction to magnetometry, paying particular attention to the magnitude of the forces involved in magnetism and the manner in which these forces act. The strength of a magnetic pole is also considered, along with the angle of deflection of the needle when in two magnetic fields. Subsequent chapters offer a thorough treatment of the strength of the magnetic field and the magnet's moment of inertia and magnetic moment; the earth's magnetic force; and how the different parts of the ship's magnetic force give different types of deviation. The book also explains the heeling error and its causes; the principle underlying successful compass adjustment; the effect of the ship's magnetic forces on the directive force felt by the compass needles; and sub-permanent magnetism. This monograph will be of value to students and practitioners interested in ship magnetism and the magnetic compass.
| Author | : Yoshihisa Yamamoto |
| Publisher | : Springer |
| Total Pages | : 615 |
| Release | : 2015-12-30 |
| Genre | : Computers |
| ISBN | : 4431557563 |
This book presents the research and development-related results of the “FIRST” Quantum Information Processing Project, which was conducted from 2010 to 2014 with the support of the Council for Science, Technology and Innovation of the Cabinet Office of the Government of Japan. The project supported 33 research groups and explored five areas: quantum communication, quantum metrology and sensing, coherent computing, quantum simulation, and quantum computing. The book is divided into seven main sections. Parts I through V, which consist of twenty chapters, focus on the system and architectural aspects of quantum information technologies, while Parts VI and VII, which consist of eight chapters, discuss the superconducting quantum circuit, semiconductor spin and molecular spin technologies. Readers will be introduced to new quantum computing schemes such as quantum annealing machines and coherent Ising machines, which have now arisen as alternatives to standard quantum computers and are designed to successfully address NP-hard/NP-complete combinatorial optimization problems, which are ubiquitous and relevant in our modern life. The book offers a balanced mix of theory-based and experimentation-based chapters written by leading researchers. Extensive information is provided on Quantum simulation, which focuses on the implementation of various many-body Hamiltonians in a well-controlled physical system, Quantum key distribution, Quantum repeaters and quantum teleportation, which are indispensable technologies for building quantum networks with various advanced applications and require far more sophisticated experimental techniques to implement.
| Author | : V. Dimri |
| Publisher | : Elsevier |
| Total Pages | : 249 |
| Release | : 2013-10-22 |
| Genre | : Science |
| ISBN | : 1483291375 |
This is the first study to present simultaneously both deconvolution and inversion, two powerful tools of data analysis. Featured within this volume are various geophysical convolution models and a treatment of deconvolution for a time-varying signal. The single channel time-varying deconvolution is shown equivalent to the multichannel time-invariant deconvolution, thus a formalism and associated algorithms can handle both. Inverse theory as well as various inversion schemes are presented on the basis of a relationship between a small perturbation to the model and its effects on the observation. The information theory inversion scheme is discussed, and several types of norm of minimization presented. Additionally, concepts and results of inverse theory are applied to design a new deconvolution operator for estimating magnetization and density distribution, and the constraint of the Backus-Gilbert formalism of inverse theory is used to design a new prediction error filter for maximum entropy spectral estimates. Maximum likelihood, another high resolution method is also presented. This volume can be utilised as a graduate-level text for courses in Geophysics. Some chapters will be of use for graduate courses in Applied Mathematics, Applied Statistics, and Oceanography.
