Abstract

The elastic effects on an artificial ice island produced by drill impacts and the pressure of structures located on the island are numerically modeled. The problem is solved numerically by applying the grid-characteristic method with interpolation on structured and unstructured meshes. The grid-characteristic method most accurately describes dynamic processes in exploration seismology problems, since it takes into account the nature of wave phenomena. The approach used makes it possible to construct correct computational algorithms at the boundaries and interfaces of the integration domain. Elastic wave propagation in the considered geological environment is studied, the stress distribution is simulated, and the stability of the ice island to fracture is analyzed using the von Mises criterion.

中文翻译：

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数学建模方法在人工冰岛稳定性分析中的应用

摘要

数值模拟了由钻头撞击产生的对人造冰岛的弹性效应和位于岛上的结构的压力。通过在结构化和非结构化网格上应用插值的网格特征方法，从数值上解决了该问题。网格特征方法最精确地描述了勘探地震学问题中的动态过程，因为它考虑了波现象的本质。所使用的方法使得在集成域的边界和接口处构造正确的计算算法成为可能。研究了在考虑的地质环境中的弹性波传播，模拟了应力分布，并使用冯·米塞斯（von Mises）准则分析了冰岛破裂的稳定性。