Micro-seismic events within a mine have the potential to disturb planned daily operations as unpredictable events can lead to safety concerns. Mines are typically large-scale underground endeavours which cannot easily be modelled on the macro scale. One increasingly popular technique for simulating activity in mines is the material point method (MPM) which is a numerical algorithm designed for analysing large deformations. One attraction of the MPM over many other numerical strategies is that it does not require repeated remeshing of the underlying computational grid but this means that the MPM is not particularly suited to analysis of small-scale events. In an effort to address this dichotomy, in this work we propose an adaptation to the regular grid used in MPM together with a novel time-stepping strategy. This assists greatly in the solution of large modeling problems typical of those arising in mining contexts. We present a new approach of extracting mining induced micro-seismic events from a numerical model by converting simulated plastic strain to seismic potency with the elastoplastic Coulomb criterion used to describe tensile and shear fracturing. Our results are benchmarked against a standard geotechnical problem in order to validate our formulation. The potential practical usefulness of the model is demonstrated by applying it to a real case study consisting of 4 months of recorded micro-seismic events taken from a mine in Tasmania.

矿山内的微地震事件有可能扰乱计划中的日常运营，因为不可预测的事件可能会导致安全问题。矿山通常是大规模的地下工程，不能轻易地在宏观尺度上建模。一种越来越流行的模拟矿山活动的技术是材料点法 (MPM)，它是一种设计用于分析大变形的数值算法。与许多其他数值策略相比，MPM 的一个吸引力在于它不需要重复重新划分底层计算网格，但这意味着 MPM 不是特别适合分析小规模事件。为了解决这种二分法，在这项工作中，我们提出了对 MPM 中使用的规则网格的适应以及一种新颖的时间步进策略。这极大地有助于解决在采矿环境中出现的典型的大型建模问题。我们提出了一种从数值模型中提取采矿诱发微地震事件的新方法，该方法使用用于描述拉伸和剪切断裂的弹塑性库仑准则将模拟塑性应变转换为地震强度。我们的结果以标准岩土工程问题为基准，以验证我们的公式。该模型的潜在实用性通过将其应用于真实案例研究来证明，该案例研究由来自塔斯马尼亚州一个矿山的 4 个月记录的微地震事件组成。我们提出了一种从数值模型中提取采矿诱发微地震事件的新方法，该方法使用用于描述拉伸和剪切断裂的弹塑性库仑准则将模拟塑性应变转换为地震强度。我们的结果以标准岩土工程问题为基准，以验证我们的公式。该模型的潜在实用性通过将其应用于真实案例研究来证明，该案例研究由来自塔斯马尼亚州一个矿山的 4 个月记录的微地震事件组成。我们提出了一种从数值模型中提取采矿诱发微地震事件的新方法，该方法使用用于描述拉伸和剪切断裂的弹塑性库仑准则将模拟塑性应变转换为地震强度。我们的结果以标准岩土工程问题为基准，以验证我们的公式。该模型的潜在实用性通过将其应用于真实案例研究来证明，该案例研究由来自塔斯马尼亚州一个矿山的 4 个月记录的微地震事件组成。