  For underground mine, the current usual technique for ore extraction is block
caving, which generates and induces seismic activity in the mine. To understand
block caving method is one of the most challenging problems in underground
mining. This method relies on gravity to break and transport large amounts of
ore and waste. The state of art in damage models is not able to represent the
real effect of the mining in the rock mass since for example the damage appears
in the bottom of the domain under consideration and with this is not possible
recover the subsidence sees in the mine. In this paper we present the analysis
and implementation of the shear-compression damage model applied to underground
mining proposed in (Bonnetier et al. 2020). We propose a fast algorithm based
in the usual alternated algorithm used in gradient damage models (Marigo et al.
2016) and show that this new algorithm is faster than the usual algorithm. We
show some numerical tests in 3D and present interested simulations for
different damage laws producing realistic damage behavior.
