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Induced seismicity could occur due to energy related operations. It could be triggered due to sudden slip of the faults caused by the change of stress/pressure/temperature in the subsurface. However, the simulation of induced seismicity is not straightforward due its dynamic nature and necessitates some considerations so that the sudden rupture of the rock could be captured correctly during the simulations. As part of DYNSEIS innovation project (Dynamic Seismicity Simulation), we developed an innovative computational framework within the ELFEN finite element code using dynamic and quasistatic numerical solutions integrating fault weakening laws. Benchmarking our results with scientific published cases confirmed that dynamic fault slip can be handled in the correct way using the developed framework. Additionally, the current method, allowed us to simulate not only the offset of fault slip but also the consequences of fault slip (post rupture behavior such as fault nucleation, fault slip, acceleration on the surface, etc.). The developed workflow was then applied to a real 3D model successfully. The outcome of this computational framework will help towards better assessment of induced seismicity risks including the computation of energy release and acceleration on the surface.