Investigating the performanceof various types of Spherical Radial Basis Functions (SRBF) in the local modeling of the Earth’s gravity field

Mohammad Yusefi Bohluli Ahmadi, Mahboobeh; Safari, Abdolreza; Shahbazi, َAnahita

doi:10.22131/sepehr.2017.24806

Document Type : Research Paper

Authors

¹ MSC student, University of Tehran

² Associate professor of surveying and geospatial engineering, faculty of engineering, University of Tehran

https://doi.org/10.22131/sepehr.2017.24806

Abstract

Abstract
Global gravity field is commonlymodelled in spherical harmonic basis functions to a certain degreeof spectral and spatial resolution. Non-uniformdistribution and different quality data limitthese functions in local gravity field modeling.Spherical harmonic basis functionsshow more global properties that means they are suitable forshowing low frequency gravityfield. In local-scale studies, radial basis functionson the sphere with quasi-local support can improve gravityfields up to a high spatial/spectral resolution.The local modelsare usually moreaccurate than global modelsin the desired locations.These functions are usually notorthogonal on a sphere, which makes the modelling process morecomplex.In this study we evaluated the radial basis functions: point-mass kernel, radial multipoles, Poisson and Poisson wavelet ,and then we compared their performances in regional gravity fieldmodelling on the sphere using real gravity acceleration data in Farscoastal area. A least-squares technique has been used toestimate the gravity field parameters. Iterative Levenberg-Marquardtalgorithm is appliedfor nonlinear inverse problem solving and minimization of differences between calculated andobserved values. These parameters include number, location, depth and scalingcoefficients in radial basis function.In order to increase efficiency Levenberg-Marquardt algorithm for solving gravity field modeling, the initial valueof theregularization parameter determined with a relation based on objective functionJacobian and also a method is provided for this parameter updates. Theresults showed that the accuracy of gravity field modeling forany types of radial basis function would be almost thesame, if the depths of SRBFs are chosen properly.

Keywords

20.1001.1.25883860.1395.25.100.5.3

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Scientific- Research Quarterly of Geographical Data (SEPEHR)

Investigating the performanceof various types of Spherical Radial Basis Functions (SRBF) in the local modeling of the Earth’s gravity field

References

References

Volume 25, Issue 100 - Serial Number 100
March 2017
Pages 61-72

Investigating the performanceof various types of Spherical Radial Basis Functions (SRBF) in the local modeling of the Earth’s gravity field

References

References

Volume 25, Issue 100 - Serial Number 100March 2017Pages 61-72

Volume 25, Issue 100 - Serial Number 100
March 2017
Pages 61-72