Extended! eBooks from the 'Springer Archives' only $/€/£ 8.99 each–save now!

Lecture Notes in Geosystems Mathematics and Computing
cover

Analysis of the Gravity Field

Direct and Inverse Problems

Authors: Sansò, Fernando, Sampietro, Daniele

  • 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
see more benefits

Buy this book

eBook 64,19 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: September 15, 2021
  • ISBN 978-3-030-74353-6
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
About this Textbook

This textbook presents a comprehensive treatment of the theory and implementation of inverse methods in the analysis and interpretation of Earth’s gravity field.  By restricting their consideration to a local rather than global level, the authors focus on the use of observations and data that are more sensitive to local mass anomalies.  All necessary theoretical aspects are reformulated in terms of a Euclidean framework so that less complex tools from mathematical analysis can be utilized.
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. 

About the authors

Fernando Sansò is Professor Emeritus at the Polytechnic University of Milan, an Honorary President of the International Association of Geoscience, and a full member of the Accademia dei Lincei.  His fields of research encompass gravity field modeling and inversion, boundary value problems, statistics, generalized random fields, and GNSS theory.
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. 

Buy this book

eBook 64,19 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: September 15, 2021
  • ISBN 978-3-030-74353-6
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Loading...

Services for this Book

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Analysis of the Gravity Field
Book Subtitle
Direct and Inverse Problems
Authors
Series Title
Lecture Notes in Geosystems Mathematics and Computing
Copyright
2021
Publisher
Birkhäuser Basel
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-74353-6
DOI
10.1007/978-3-030-74353-6
Series ISSN
2730-5996
Edition Number
1
Number of Pages
XXVIII, 540
Number of Illustrations
97 b/w illustrations
Topics