Fracture studies mainly concern with the investigation of the cracks behavior under specific conditions which cause the crack aperture or closure. Joint aperture in rock mass with presence of other factors, such as high temperature and pore pressure, is a complex case. In this paper, the extended finite element method (XFEM) and traditional finite element method (FEM) techniques are employed to study the behavior of a single crack initiation subjected to a tensile loading in pure mechanical (M), hydro-mechanical (HM) and thermo-mechanical (TM) conditions. For this purpose, water as the preferred fluid and 250 F as the desired temperature were considered. Fracture aperture is modeled for three scenarios; edge, center horizontal and center inclined crack. The numerical analysis was also verified utilizing the analytical solution. The presence of pore pressure is shown to have a considerably low impact on the crack aperture, while it is argued that the temperature highly influences the analysis. Furthermore, the pros and cons of the XFEM technique are evaluated upon conventional FEM method, and it is shown that for the stationary crack initiation and calculation of the stress intensity factor, XFEM is less favorable than the F
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