Many soluble rocks will dissolve when in contact with fluid such as water. This transformation of rock solid into flowing fluid may trigger the creation of cavities which may further lead to either smooth subsidence or sudden collapse of land surface. Dissolution phenomenon can be of natural or human origin. This paper deals with the problem of the dissolution of underground soluble rocks and the geomechanical consequences such as subsidence, sinkholes and underground collapse. In this paper, rock dissolution and the induced underground cavities are computed using a Diffuse Interface Model, which does not require to follow interfaces explicitly. We describe briefly the mathematical and physical framework for the dissolution model. We first explain the transition (upscaling) of a multiphysics problem formulated at the microscopic (pore-) scale level to the macroscopic (Darcy-) scale level. Rock material considered in this paper is gypsum, despite that the developed method is also suitable for over soluble rocks (e.g., limestone, Halite). The second part of this paper is devoted to a set of problems dealing with mechanical response of the rock mass in connection with the dissolution process. We discuss the subsidence induced by the dissolution of one or more gypsum lenses, the stability of the covering, and finally the failure of a gypsum pillar in an abandoned quarry. These examples, while they may involve rather theoretical hypotheses, have the virtue of showing the relevance of the method as well as the very diverse issues that it can treat.

中文翻译：

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地下岩石溶解和地质力学问题

许多可溶性岩石在与水等流体接触时会溶解。岩石固体向流动流体的这种转变可能会引发空洞的产生，这可能会进一步导致地表平稳下沉或突然坍塌。溶解现象可以是自然的或人为的。本文论述了地下可溶性岩石的溶解问题及其下沉、天坑和地下塌陷等地质力学后果。在本文中，岩石溶解和诱发地下空洞是使用扩散接口模型计算的，不需要明确遵循接口。我们简要描述了溶出模型的数学和物理框架。我们首先解释了在微观（孔隙）尺度水平上制定的多物理场问题到宏观（达西）尺度水平的转变（放大）。本文考虑的岩石材料是石膏，尽管所开发的方法也适用于过溶性岩石（例如石灰石、岩盐）。本文的第二部分致力于处理与溶解过程相关的岩体力学响应的一系列问题。我们讨论了由一个或多个石膏透镜溶解引起的下沉、覆盖物的稳定性，最后讨论了废弃采石场中石膏柱的失效。这些例子虽然可能涉及相当理论的假设，但具有显示方法的相关性以及它可以处理的非常不同的问题的优点。