Analysis Of The Gravity Field: Direct And Inverse Problems (Lecture Notes In Geosystems Mathematics And Computing)

Introduction.- Part I: Forward Modelling of the Gravity Field.- The Vertical Gravitational Signal of Homogeneous Bodies, Bounded in the Horizon Plane.- Fourier Methods.- Part II: The Preprocessing and Processing of Gravity Data: From Observations to a Gravity Map on a Local Horizontal Plane.- The Gravity Field of Earth.- Gravity Surveying and Preprocessing.- Gravity Processing.- Part III: Inverse Theory and Applications.- Elementary Inverse Theory.- On the Mathematical Characterization of the Inverse Gravity Problem.- General Inversion Approaches.- Some Conclusions.- Part IV: Appendices.- Mathematical Auxillia.- The Theory of Random Fields and the Wiener-Kolmogorov Prediction Method.- The Tikhonov Regularization and Morozov's Discrepancy Principle.

• | Author: Fernando Sansò|Daniele Sampietro
• | Publisher: Birkhäuser
• | Publication Date: Jun 10, 2022
• | Number of Pages: 555 pages
• | Language: English
• | Binding: Paperback
• | ISBN-10: 3030743551
• | ISBN-13: 9783030743550