An algorithm for estimating the vector fields` curl of the earth’s surface motion from geodetic data

Geodynamic research
UDC: 
528+551.24
DOI: 
10.22389/0016-7126-2019-949-7-51-56
1 Mazurov B.T.
Year: 
2019
№: 
7
949
Pages: 
51-56

Siberian State University of Geosystems and Technologies

1, 
Abstract:
According to the changes of geodetic elements (coordinates, heights, directions) after multiple measurements, it is possible to represent the field of geodetic points’ displacement vector. When studying the stress-strain state of the earth’s surface, the vectors obtained can be used not only to calculate the earth’s deformation tensor in the area under study, but also the differential characteristics of the vector field, called divergence and rotor (vortex, curl). The author proposes the way to determinethe rotor according to discrete geodesic observations of displacement vectors on the surface of the surveyed area. The most important continuation of this research work is the method of geodynamic systemsmathematical modeling for predictive purposes. In order to study the complex (nonlinear) geodynamic processes, an appropriate mathematical basis should be chosen. Here the attention is drawn to the attraction of the mathematical foundations of field theory. The variants of the curl definition are proposed – one of the vector fields’ differential characteristics. To assess the characteristics of vector fields when using multiple geodetic measurements, the finite element method can be used. The division of the surveyed area into triangles enables you to determine the characteristics of the deformation after calculating the elements of the strain tensor.
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Citation:
Mazurov B.T., 
(2019) An algorithm for estimating the vector fields` curl of the earth’s surface motion from geodetic data. Geodesy and cartography = Geodezia i Kartografia, 80(7), pp. 51-56. (In Russian). DOI: 10.22389/0016-7126-2019-949-7-51-56
Publication History
Received: 05.03.2019
Accepted: 10.06.2019
Published: 20.08.2019

Content

2019 July DOI:
10.22389/0016-7126-2019-949-7