This paper deals with the dissolution of certain soluble rocks such as salt and gypsum, and the geomechanical consequences like subsidence, sinkholes, underground collapses. It focuses on salt and gypsum, although the developed method can be used for any soluble rock. In this paper, a large-scale Diffuse Interface Model (DIM) is used to describe the evolution of a salt cavity formed by dissolution. The method is based upon the assumption of a pseudo-component dissolving with a thermodynamic equilibrium boundary condition. The purpose of this article is to provide a review the method we have developed and more specifically to present its possibilities. The problems considered are isothermal even if the temperature field could be easily integrated into the global physical problem. The potential of the proposed methodology is illustrated on one meso-scale (in-situ) configuration corresponding to salt cavity dissolution. Comparison between in-situ experiment data and numerical modeling shows the method is a good prediction tool. A final boundary value problem is also studied in which salt is replaced by gypsum to show the applicability of the proposed methodology to analyze rocks with different solubility.