Overview
- Highlights the use of inverse methods in exploration geophysics by concentrating on the analysis and interpretation of Earth's gravity field at a local level
- Carefully written to be accessible to both mathematicians and geophysicists without sacrificing mathematical rigor
- Provides practical, real-world examples that gradually build in complexity through the text
Part of the book series: Lecture Notes in Geosystems Mathematics and Computing (LNGMC)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (10 chapters)
-
Front Matter
-
Forward Modelling of the Gravity Field
-
Front Matter
-
-
The Preprocessing and Processing of Gravity Data: From Observations to a Gravity map on a Local Horizontal Plane
-
Front Matter
-
-
Inverse Theory and Applications
-
Front Matter
-
-
Back Matter
Keywords
About this book
Divided into three parts, the text begins with a review of basic mathematical properties of gravitation, computing gravity from mass distributions, and relevant methods from Fourier analysis. In the second part of the text, the Earth’s gravity field and its properties are introduced, and the preprocessing and processing of gravity data are explored. Finally, elementary inverse theory is discussed, after which the general inversion problem is considered via application of both the Tikhonov deterministic approach and a stochastic MCMC model. Throughout, examples and exercises are provided to both clarify material and to illustrate real-word applications for readers.
Analysis of the Gravity Field: Direct and Inverse Problems is carefully written to be accessible to both mathematicians and geophysicists without sacrificing mathematical rigor. Readers should have a familiarity with the basics of mathematical analysis, as well as some knowledge of statistics and probability theory. Detailed proofs of more advanced results are relegated to appendices so that readers can concentrate on solution algorithms.
Reviews
Authors and Affiliations
About the authors
Daniele Sampietro is a senior researcher at Geomatics Research & Development srl. His main research activity concerns the processing and interpretation of the Earth’s gravity field at regional and local scales for resource exploration activities.
Bibliographic Information
Book Title: Analysis of the Gravity Field
Book Subtitle: Direct and Inverse Problems
Authors: Fernando Sansò, Daniele Sampietro
Series Title: Lecture Notes in Geosystems Mathematics and Computing
DOI: https://doi.org/10.1007/978-3-030-74353-6
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 2022
Softcover ISBN: 978-3-030-74355-0Published: 10 June 2022
eBook ISBN: 978-3-030-74353-6Published: 09 June 2022
Series ISSN: 2730-5996
Series E-ISSN: 2512-3211
Edition Number: 1
Number of Pages: XIV, 541
Number of Illustrations: 52 b/w illustrations, 45 illustrations in colour
Topics: Computational Mathematics and Numerical Analysis, Geophysics/Geodesy, Probability Theory and Stochastic Processes, Fourier Analysis