In underground mining, rock mass stress is commonly modeled as a continuum. However, in block cave mining discrete modelling should be used to properly represent the stress over the extraction level in the broken column where there are high rock columns of large rock fragments. Unfortunately, we lack methods that use discrete modelling of stress in the broken column at block caving scale. In this work, we propose a vertical stress model of granular material to simulate static and dynamic flow conditions. The model is developed within a gravity flow simulator based on cellular automata to simulate the scale of the problem and flow conditions. The vertical stress model proposed is calibrated through four experimental models for the static condition. Then, based on the results from experimental testing, the dynamic condition is calibrated and compared with different flow scenarios. The results show that the proposed model can correctly simulate the vertical stresses in static conditions as well as dynamic conditions under the different flow setups tested. This vertical stress model with its flow simulator based on cellular automata has the potential to be applied at block caving scale once calibration parameters are defined.

在地下采矿中，岩体应力通常被建模为一个连续体。然而，在块状洞穴采矿中，应使用离散模型来正确地表示存在大岩石碎片的高岩柱的破碎柱中的开采水平上的应力。不幸的是，我们缺乏在块状崩落尺度上使用离散柱中的应力建模的方法。在这项工作中，我们提出了颗粒材料的垂直应力模型来模拟静态和动态流动条件。该模型是在基于元胞自动机的重力流模拟器中开发的，以模拟问题的规模和流动条件。提出的垂直应力模型通过四个静态条件的实验模型进行校准。然后，根据实验测试的结果，动态条件被校准并与不同的流动场景进行比较。结果表明，所提出的模型可以正确模拟静态条件下的垂直应力以及测试的不同流动设置下的动态条件。一旦定义了校准参数，这种垂直应力模型及其基于元胞自动机的流动模拟器就有可能应用于块体崩落规模。