Abstract For decades, coal mining in the Upper Silesian Coal Basin (USCB) in Poland has been inducing annually more than 150 seismic events with local magnitude M > 2. Two sets of sensors were installed in the USCB in Poland to measure angular velocities and translational accelerations from seismic events induced by underground coal mining. In the period from December 2015 to November 2016, 503 seismic events were recorded with local magnitude M between 1.1 and 3.5. Analysis of measurement data for induced seismicity confirmed a strong linear correlation between peak ground acceleration of shear S-waves, PGA and peak ground motion of angular velocity, PRV. The observed correlation can be a result of previously observed coupling between the angular instantaneous velocity vector and the respective displacement vector at the ground surface. Three types of empirical equations for induced seismicity in Upper Silesia in Poland were developed to predict the peak rotational ground motion of the vertical (torsion), horizontal (rocking), and instantaneous 3D-xyz components. The prediction values of horizontal peak angular velocity ground motion indicate that for strong mining-induced seismic events in the USCB with a magnitude of M = 3.5, we can expect that the mean values of PRVH will reach 7.5 mrad/s in the epicentral area (r = 500 m) and with magnitude M = 4 respectively will reach 19.7 mrad/s. Such values of ground rotation may substantially contribute to the overall seismic response of civil infrastructure, particularly for tall buildings. The study of angular velocity ground motion is important not only from the cognitive point of view, but also from practical significance for assessing the seismic impact on very high buildings, chimneys and stability of slopes.

中文翻译：

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预测采矿引起的地震活动的旋转地面运动——来自波兰上西里西亚煤矿的案例研究

摘要 几十年来，波兰上西里西亚煤炭盆地 (USCB) 的煤矿开采每年诱发 150 多起当地震级 M > 2 的地震事件。波兰的 USCB 安装了两套传感器来测量角速度和平移。地下煤矿开采引起的地震事件的加速度。2015 年 12 月至 2016 年 11 月期间，共记录地震事件 503 次，局地震级 M 介于 1.1 至 3.5 之间。对诱发地震活动的测量数据的分析证实，剪切 S 波的峰值地面加速度 PGA 与角速度的峰值地面运动 PRV 之间存在很强的线性相关性。观察到的相关性可以是先前观察到的角瞬时速度矢量与地面处的相应位移矢量之间的耦合的结果。开发了波兰上西里西亚诱发地震活动的三种经验方程，以预测垂直（扭转）、水平（摇摆）和瞬时 3D-xyz 分量的峰值旋转地面运动。水平峰值角速度地震动的预测值表明，对于 USCB 震级为 M = 3.5 的强采动地震事件，我们可以预期震中区 PRVH 的平均值将达到 7.5 mrad/s（ r = 500 m) 和 M = 4 分别将达到 19.7 mrad/s。这样的地面旋转值可能对民用基础设施的整体地震响应有很大贡献，特别是对于高层建筑。角速度地震动的研究不仅从认知的角度来看很重要，