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Birkhäuser

Inverse Magnetometry

Mollifier Magnetization Distribution from Geomagnetic Field Data

  • Book
  • © 2021

Overview

Authors:
  1. Christian Blick

    1. Business und Management mbH, CBM - Gesellschaft für Consulting, Bexbach, Germany

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  2. Willi Freeden

    1. Mathematics Department, University of Kaiserslautern, Kaiserslautern, Germany

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  3. M. Zuhair Nashed

    1. Mathematics Department, University of Central Florida, Orlando, USA

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  4. Helga Nutz

    1. Business und Management mbH, CBM - Gesellschaft für Consulting, Bexbach, Germany

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  5. Michael Schreiner

    1. OST, Institute for Computational Engineering, Buchs, Switzerland

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  • First monograph to explore methods of modeling geologic strata through mollifier magnetometric techniques
  • Demonstrates how problems in magnetometry can be reduced to calculable decorrelated models
  • Highlights the role of geomathematics as a bridge between mathematical theory and geotechnical applications

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xii
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  2. Introductory Remarks

    • Christian Blick, Willi Freeden, M. Zuhair Nashed, Helga Nutz, Michael Schreiner
    Pages 1-5

  3. Basics of Magnetic Field Theory and Magnetization

    • Christian Blick, Willi Freeden, M. Zuhair Nashed, Helga Nutz, Michael Schreiner
    Pages 7-24

  4. Dipole Potential Based Magnetometry

    • Christian Blick, Willi Freeden, M. Zuhair Nashed, Helga Nutz, Michael Schreiner
    Pages 25-40

  5. Inverse Magnetometry

    • Christian Blick, Willi Freeden, M. Zuhair Nashed, Helga Nutz, Michael Schreiner
    Pages 41-55

  6. Multi-Scale Inverse Mollifier Magnetometry

    • Christian Blick, Willi Freeden, M. Zuhair Nashed, Helga Nutz, Michael Schreiner
    Pages 57-83

  7. Test Demonstrations

    • Christian Blick, Willi Freeden, M. Zuhair Nashed, Helga Nutz, Michael Schreiner
    Pages 85-96

  8. Concluding Remarks

    • Christian Blick, Willi Freeden, M. Zuhair Nashed, Helga Nutz, Michael Schreiner
    Pages 97-101

  9. Back Matter

    Pages 103-114
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Keywords

About this book

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.


Authors and Affiliations

  • Business und Management mbH, CBM - Gesellschaft für Consulting, Bexbach, Germany

    Christian Blick, Helga Nutz

  • Mathematics Department, University of Kaiserslautern, Kaiserslautern, Germany

    Willi Freeden

  • Mathematics Department, University of Central Florida, Orlando, USA

    M. Zuhair Nashed

  • OST, Institute for Computational Engineering, Buchs, Switzerland

    Michael Schreiner

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