Overview
- Provides new insight into the current state of multi-scale gravimetric research and its applications in geoexploration
- Demonstrates how reducing gravimetry to mathematically accessible decorrelated models can make unresolved questions and problems of gravimetry accessible to a broad scientific audience
- Highlights the interconnection of several different geo-disciplines
- Incorporates data and numerical results from methodological tests in the German Saarland area
Part of the book series: Geosystems Mathematics (GSMA)
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Table of contents (17 chapters)
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Front Matter
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Gravitation and Gravimetry
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Front Matter
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Potential Theory
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Front Matter
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Surface Decorrelation
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Front Matter
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Inverse Potential Theory
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Front Matter
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Volume Decorrelation
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Front Matter
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Decorrelative Potential Methods
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Front Matter
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Keywords
About this book
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.
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Authors and Affiliations
Bibliographic Information
Book Title: Decorrelative Mollifier Gravimetry
Book Subtitle: Basics, Ideas, Concepts, and Examples
Authors: Willi Freeden
Series Title: Geosystems Mathematics
DOI: https://doi.org/10.1007/978-3-030-69909-3
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-69908-6Published: 13 May 2021
Softcover ISBN: 978-3-030-69911-6Published: 14 May 2022
eBook ISBN: 978-3-030-69909-3Published: 12 May 2021
Series ISSN: 2510-1544
Series E-ISSN: 2510-1552
Edition Number: 1
Number of Pages: XIX, 482
Number of Illustrations: 28 b/w illustrations, 168 illustrations in colour
Topics: Potential Theory, Numerical Analysis, Earth System Sciences, Classical and Quantum Gravitation, Relativity Theory