In this paper we present a physical modelling approach where the stability of rock blocks against toppling in the field can be estimated using a tilt table, engineered rock models and 3D-printed small-scale versions of a natural rock boulder. To achieve this goal, first, simple geometry rock elements are tilted and results interpreted according to analytical formulations. Then, more complex geometry engineered rock blocks, including some whose centers of gravity do not project on the center of the base element, are tested and results properly interpreted. Eventually, the 3D-printed version of the rock boulder is produced from 3D point clouds recovered in the field by means of a combination of photogrammetry and laser scanner techniques. Analytical formulations and numerical calculations have been used in order to validate the proposed approach, to explain the physical phenomena involved, and to allow for possible extension of the physical modelling results to different scenarios, such as those considering the influence of water or seismic loading on stability.

在本文中，我们提出了一种物理建模方法，其中可以使用倾斜台，工程岩石模型和3D打印的小尺寸天然岩石巨石来估算岩石块在野外抗倾覆的稳定性。为了实现这一目标，首先，将简单的几何岩石元素倾斜，并根据分析公式解释结果。然后，对更复杂的几何工程岩块（包括一些重心不在基体中心突出的岩心）进行测试并正确解释结果。最终，通过摄影测量和激光扫描仪技术的结合，从现场回收的3D点云中生成3D打印版本的巨石。已使用分析公式和数值计算来验证所提出的方法，