Experimental and field investigations for solution mining processes have improved intensely in recent years. Due to today’s computing capacities, three-dimensional simulations of potential salt solution caverns can further enhance the understanding of these processes. They serve as a “virtual prototype” of a projected site and support planning in reasonable time. In this contribution, we present a meshfree generalized finite difference method (GFDM) based on a cloud of numerical points that is able to simulate solution mining processes on microscopic and macroscopic scales, which differ significantly in both the spatial and temporal scales. Focusing on anticipated industrial requirements, Lagrangian and Eulerian formulations including an Arbitrary Lagrangian–Eulerian (ALE) approach are considered.

近年来，解决方案采矿过程的实验和现场调查已大大改善。由于当今的计算能力，对潜在盐溶液洞穴的三维模拟可以进一步增强对这些过程的理解。它们充当计划站点的“虚拟原型”，并在合理的时间内支持计划。在此贡献中，我们提出了一种基于数字点云的无网格广义有限差分法（GFDM），该方法能够在微观和宏观尺度上模拟解决方案挖掘过程，而在空间和时间尺度上都存在很大差异。关注预期的工业需求，考虑了拉格朗日和欧拉公式，包括任意拉格朗日-欧拉（ALE）方法。