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.

中文翻译：

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应用InSAR估算地表采矿诱导水平应变张量

与采矿引起的沉降相关的水平应变可能危及基础设施和地表用户的安全。虽然应该很好地确定定向水平应变，但仍然需要对地形表面变形场进行完整评估的适当解决方案。因此，本研究研究了一种基于将卫星雷达干涉测量 (InSAR) 观测分解为垂直和方位角视向 (ALD) 位移的计算水平应变张量的新方法。基于几何积分模型，我们在将我们的方法应用于波兰地下铜矿之前对实验数据进行了测试。在案例研究中，位移场是使用 Sentinel-1 数据的多时相 InSAR 方法确定的。模型数据相对误差在 σ = ±0.003 时不超过 0.02。对于案例研究，获得了高达 -167 毫米的地面沉降和范围从 -110 毫米到 +62 毫米的 ALD 位移，而水平应变的极值范围从 -0.52 毫米/米到 +0.36 毫米/米在 σ = ±0.050 毫米/米。我们的结果证明了该方法在确定水平应变张量方面的高精度。因此，该方法可以扩大全球地面沉降对环境影响的评估。