Mineral drilling (BHM) is a process that integrates a high-pressure waterjet cutting system and a downhole mud pumping system through a single borehole drilled from the surface in the mineralized rock. The water jet cuts the material, causing the slurry to flow into an ejector pump near the base of the tool and be pumped to the surface. A cavity will be created as a result of this excavation process [2]. Understanding the relationship between cavity stability and operational parameters is essential in the design of any borehole mining system. There are a number of technical challenges that must be overcome to advance the concept of in situ drilling extraction of insoluble tabular resources to a commercial level. viable step. One of the most important challenges is the technical understanding between cavity formation and stability for a given set of operational characteristics and geomechanical properties of rocks. The first step is to find a digital code that is more user-friendly and can also give reliable results. The Itasca Flac2D code was selected for this current research. The main objective of this research was to verify whether a widely used two-dimensional modeling software (ItascaFlac2D) had sufficient accuracy to perform stress analysis in a borehole mining system as part of a predictive design protocol . To achieve this objective, data derived from an empirical field study were modeled using Flac2D and the results were compared to those obtained from a case study using a three-dimensional model (Flac3D). The case study data used in this chapter were obtained from a subsidence study prepared by Barr Engineering Company for Cooperative Mineral Resources (CMR) [1]. CMR sought to collect samples from two manganese-enriched areas within an oxidized iron formation at a site near Emily, Minnesota. Through bulk sampling, CMR intended to assess the potential of using a small-scale borehole mining (BHM) system using waterjet technology. CMR believed that the manganese enriched areas of the resource were suitable for BHM excavation methods and as part of the technical feasibility of the project a subsidence study was carried out by Barr Engineering. A primary objective of this study was to determine whether subsidence would occur under specific operating conditions and, if so, to develop a range of potential depths and radial extents of surface damage in the project area.2) Computational Modeling As discussed previously, this application had inherent advantages of using Flac2D over a more sophisticated modeling tool like Flac3D..