The finite and boundary elements methods are often employed in the analysis of underground excavations in mining and geotechnical engineering. More than often the sheer size of the discretized geometry coupled with the material constitutive models pushes the limits of current hardware. Moreover, for the case of the large models the "time to solution" can be measured in days. As part of my research I have formulated a framework of "approximate analysis" of the problems using a simplified geometry to obtain solutions that are representative of the general solution but only accurate in a limited region where the analysis was requested to be accurate. The analysis framework was first developed for 2D scenarios, but now it is expanded to address full 3D domains. In addition to geometry simplification, parallel processing is employed to reduce the computation time.