Decorrelative mollifier gravimetry : basics, ideas, concepts, and examples / Willi Freeden.
Freeden, W. (Willi)
2021
QB334
Available Online

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Title Decorrelative mollifier gravimetry : basics, ideas, concepts, and examples / Willi Freeden.
Author Freeden, W. (Willi)
ISBN 9783030699093 (electronic bk.)
3030699099 (electronic bk.)
3030699080
9783030699086
DOI https://doi.org/10.1007/978-3-030-69909-3
Publication Details Cham : Birkhäuser, 2021.
Language English
Description 1 online resource
Item Number 10.1007/978-3-030-69909-3 doi
Call Number QB334
Dewey Decimal Classification 526/.7
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed May 24, 2021).
Series Geosystems mathematics, 2510-1544
Available in Other Form Print version: 9783030699086
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Introductory Remarks
Part I: Gravitation and Gravimetry
Gravitation
Gravimetry
Part II: Potential Theory
Classical Context
Newton-Haar Mollifier Theory and Application
Disturbing Potential
Part III: Surface Decorrelation
Space versus Frequency Surface Modeling
Surface Applications
Part IV: Inverse Potential Theory
Gravimetry as an Ill-Posed Inverse Problem
Part V: Volume Decorrelation
Volume Methodology
Volume Applications
Part VI: Decorrelative Potential Methods
Decorrelative Monopole Potential Based Gravimetry
Decorrelative Dipole Potential Based Magnetometry
Decorrelative Acoustic Potential Based Exploration
Decorrelative Elastic Potential Based Exploration
Concluding Remarks.

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