Geophysical research: article

I.P. Babayants 1 V.O. Mikhailov 1 E.P. Timoshkina 1 A.A. Baryakh 2
1 Schmidt Institute of Physics of the Earth, the Russian Academy of Sciences 2 Mining Institute of the Ural Branch of the Russian Academy of Sciences
Journal: Geophysical research
Tome: 24
Number: 4
Year: 2023
Pages: 28-42
UDK: 550.31
DOI: 10.21455/gr2023.4-2
Full text
Keywords: potash mines, pillar development, subsidence, SAR interferometry, estimations from one and two orbits
Аnnotation: The subsidence of the Earth's surface, calculated by the theoretical model of the displacement trough above the mine, developed by the pillar method, are compared with the displacements that can be obtained by monitoring this trough from satellite images from one and two orbits. It is shown that when calculating subsidence with the joint use of data from the descending and ascending orbits, the longitudinal and transverse axes of the trough do not shift. The maximum subsidence value is determined almost without error. Errors in the reconstruction of the trough geometry appear where there is a significant northern displacement component, which, due to the characteristics of satellite radar imaging, is usually neglected. For troughs extended in the north-south and west-east directions, these are their northern and southern boundaries; for a trough extended from northwest to southeast, these are its northernmost and southernmost corners. On the maps of displacements in the direction towards the satellite, as well as on the subvertical displacement maps Usubv that are calculated from images from one orbit assuming that the horizontal displace-ments at the Earth's surface are significantly less than the vertical ones, the areas of subsidence and uplifts al-ways shift towards the satellite. In other words, on displacement maps obtained from satellite images from an ascending orbit – to the west, and from a descending orbit – to the east. The magnitude of displacements is 50–60 m. The direction of displacement of the longitudinal and transverse axes of the trough on the maps of sub-vertical displacements Usubv depends on their strike. The displacements of the trough axes relative to their true position on the ground should be taken into account when determining the position of the displacement trough using subvertical displacements Usubv maps obtained from images from one orbit. On these maps, the maximum subsidence value is approximately 10 % greater than the displacements calculated using the trough model.
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