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Analysis of the Gravity Field: Direct and Inverse Problems

Analysis of the Gravity Field: Direct and Inverse Problems

Paperback

Series: Lecture Notes in Geosystems Mathematics and Computing

General MathematicsPhysicsProbability & Statistics

ISBN10: 3030743551
ISBN13: 9783030743550
Publisher: Birkhauser
Published: Jun 10 2022
Pages: 541
Weight: 1.70
Height: 1.13 Width: 6.14 Depth: 9.21
Language: English
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.

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General Mathematics