Analysis of the Gravity Field: Direct and Inverse Problems (Lecture Notes in Geosystems Mathematics and Computing) - Softcover

Sansò, Fernando; Sampietro, Daniele

Softcover

ISBN 10: 3030743551 ISBN 13: 9783030743550

Verlag: Birkhäuser, 2022

Inhaltsangabe

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. 

Über diesen Titel

Über die Autorin bzw. den Autor

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.  

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. 

Details zur Ausgabe

• Verlag: Birkhäuser
• Erscheinungsdatum: 2022
• Sprache: Englisch
• ISBN 10: 3030743551
• ISBN 13: 9783030743550
• Einband: Taschenbuch
• Auflage: 1
• Anzahl der Seiten: 555
• Kontakt zum Hersteller: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Deutschland