JSG0.11

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JSG 0.11: Multiresolutional aspects of potential field theory

Chair:Dimitrios Tsoulis (Greece)
Affiliation:Comm. 2, 3 and GGOS

Contents


Introduction

The mathematical description and numerical computation of the gravity signal of finite distributions play a central role in gravity field modelling and interpretation. Thereby, the study of the field induced by ideal geometrical bodies, such as the cylinder, the rectangular prism or the generally shaped polyhedron, is of special importance both as fundamental case studies but also in the frame of terrain correction computations over finite geographical regions.

Analytical and numerical tools have been developed for the potential function and its derivatives up to second order for the most familiar ideal bodies, which are widely used in gravity related studies. Also, an abundance of implementations have been proposed for computing these quantities over grids of computational points, elaborating data from digital terrain or crustal databases.

Scope of the Study Group is to investigate the possibilities of applying wavelet and multiscale analysis methods to compute the gravitational effect of known density distributions. Starting from the cases of ideal bodies and moving towards applications involving DTM data, or hidden structures in the Earth's interior, it will be attempted to derive explicit approaches for the individual existing analytical, numerical or combined (hybrid) methodologies. In this process, the mathematical consequences of expressing in the wavelet representation standard tools of potential theory, such as the Gauss or Green theorem, involved for example in the analytical derivations of the polyhedral gravity signal, will be addressed. Finally, a linkage to the coefficients obtained from the numerical approaches but also to the potential coefficients of currently available Earth gravity models will also be envisaged.

Objectives

  • Bibliographical survey and identification of multiresolutional techniques for expressing the gravity field signal of finite distributions.
  • Case studies for different geometrical finite shapes.
  • Comparison and assessment against existing analytical, numerical and hybrid solutions.
  • Computations over finite regions in the frame of classical terrain correction computations.
  • Band limited validation against available Earth gravity models.

Program of Activities

  • Active participation at major geodetic meetings.
  • Organize a session at the forthcoming Hotine-Marussi Symposium.
  • Compile a bibliography with key publications both on theory and applied case studies.
  • Collaborate with other working groups and affiliated IAG Commissions.

Members

Dimitrios Tsoulis (Greece), chair
Katrin Bentel (USA)
Maria Grazia D'Urso (Italy)
Christian Gerlach (Germany)
Wolfgang Keller (Germany)
Christopher Kotsakis (Greece)
Michael Kuhn (Australia)
Volker Michel (Germany)
Pavel Novák (Czech Republic)
Konstantinos Patlakis (Greece)
Clément Roussel (France)
Michael Sideris (Canada)
Jérôme Verdun (France)

Corresponding members

Christopher Jekeli (USA)
Frederik Simons (USA)
Nico Sneeuw (Germany)

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