Analysis of the Gravity Field : Direct and Inverse Problems /

Analysis of the Gravity Field : Direct and Inverse Problems /

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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 ar...

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Bibliographic Details
Main Authors: Sansò, Fernando (Author, http://id.loc.gov/vocabulary/relators/aut), Sampietro, Daniele (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Format: Book
Language:English
Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2022
Edition:1st ed. 2022
Series:Lecture Notes in Geosystems Mathematics and Computing,
Subjects:
Fourier analysis
Geophysics
Mathematics-Data processing
Stochastic processes
Computational Mathematics and Numerical Analysis
Fourier Analysis
Stochastic Processes
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Table of Contents:
  • 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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