Large scale mining exploitation, such as coal mining in the Polish Upper Silesian basin where it is estimated that over a period of centuries about 5 billion tons of coal and 6 million cu yd of rock have been removed from under ground changes the original distribution of stresses in the earth's crust, and can contribute to a propagation of cervices in the surrounding rock strata. Paper presents a simple model illustrating the propagation of a crevice in a homogeneous, isotropic, linearly-elastic medium under conditions corresponding to mining exploitation. That model determines the critical size of an excavation beyond which a propagation of a cervice, located underneath or above the level of an excavation would occur. A hypothesis correcting rock bursts with propagation of crevices is also presented.