Estimation of Mining-Induced Horizontal Strain Tensor of Land Surface Applying InSAR

Abstract

Horizontal strains related to mining-induced subsidence may endanger infrastructure and surface users’ safety. While directional horizontal strains should be well determined, appropriate solutions for a complete assessment of the terrain surface deformation field are still required. As a result, the presented study examined a new method for calculating horizontal strain tensor based on the decomposition of satellite radar interferometry (InSAR) observations into vertical and azimuth look direction (ALD) displacements. Based on a geometric integral model, we tested our method on experimental data before applying it to an underground copper ore mine in Poland. In the case study, the displacement field was determined using the Multi-Temporal InSAR method on Sentinel-1 data. The model data relative error did not exceed 0.02 at σ = ±0.003. For the case study, land subsidence of up to −167 mm and ALD displacements ranging from −110 mm to +62 mm was obtained, whereas the extreme values of horizontal strains ranged from −0.52 mm/m to +0.36 mm/m at σ = ±0.050 mm/m. Our results demonstrate the high accuracy of the method in determining the horizontal strain tensor. As a result, the approach can broaden the assessment of the environmental impact of land subsidence worldwide.

Parametry teorii Knothego – modele obliczeniowe i przykłady praktycznego zastosowania

“…Witkowski et al (Witkowski et al 2021) utilized the established Knothe's theory, which relies on a geometric integral model, along with the Multi-Temporal InSAR technique using Sentinel-1 data. They investigated a novel method for calculating the horizontal strain tensor.…”

Delineation of Backfill Mining Influence Range Based on Coal Mining Subsidence Principle and Interferometric Synthetic Aperture Radar

“…Assuming that the size of the geocoded LOS deformation map is mxn, according to the general law of mining subsidence, there is a linear relationship between the horizontal movement of the surface and the deformation of the horizontal gradients of the subsidence [27,34]. Some scholars use the geometric integral model and drone photogrammetry to obtain the horizontal movement of the mining area [35,36], which is a very good method. However, we did not obtain relevant drone data in the research area, and whether the geometric integral model uses filling mining subsidence remains to be studied.…”

A Multi-Temporal Small Baseline Interferometry Procedure Applied to Mining-Induced Deformation Monitoring

“…The Lower Silesian region, in south-western Poland, experiences intense copper mining activity operated by the KGHM company. In particular, mining activity is concentrated in the Legnica-Glogow copper district (LGCD) and has caused an impact on both the built environment and infrastructures due to ground movement of both linear and pulse-based types, triggered by underground excavations [3][4][5][6][7].…”