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

Geodynamic research
UDC: 
528.481:551.24
DOI: 
10.22389/0016-7126-2018-940-10-46-53
1 Kolmogorov V.G.
2 Mazurov B.T.
3 Panzhin A.A.
Year: 
2018
№: 
10
940
Pages: 
46-53

Siberian State University of Geosystems and Technologies

1, 
2, 

RAS Ural Branch Institute of Mining (IM UВ RAS)

3, 
Abstract:
Geodetic measurements provide important and statistically estimated information about the coordinates of geodetic points and their changes over time. This geodesic information can be used to study geodynamic processes and their manifestations, primarily on the earth’s surface. Particularly intense such geodynamic phenomena occur in areas of active development of minerals due to the intense man-made effects on the near-surface layer of the Earth. It is logical to perform the description of surface motions using mathematical field theory. According to the changes of geodetic elements (coordinates, heights, directions) after repeated measurements it is possible to imagine the field of displacement vector of geodetic points. 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. One of them is called divergence. The authors of the article propose to determine the divergence of the vector field of surface displacements by discrete geodesic observations of displacement vectors made only on the surface of the study area. The model of the vector displacement field can be chosen taking into account the set of source data and the density of placement of geodetic points, the carriers of spatial coordinates.
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Citation:
Kolmogorov V.G., 
Mazurov B.T., 
Panzhin A.A., 
(2018) An algorithm for estimating the divergence of vector fields of the earth’s surface motion from geodetic data. Geodesy and cartography = Geodezia i Kartografia, 79(10), pp. 46-53. (In Russian). DOI: 10.22389/0016-7126-2018-940-10-46-53
Publication History
Received: 13.09.2018
Accepted: 25.10.2018
Published: 20.11.2018

Content

2018 October DOI:
10.22389/0016-7126-2018-940-10