The present invention relates to a method of storing waste material in a subterranean formation, the method including digging a mine shaft to reach the subterranean formation; constructing a ventilated underground control center wherein the center includes a computerized control panel; providing a drill head, wherein the computerized control panel controls the movements of the drill head; providing a hollow drill pipe; providing a movable hydraulic shield; providing a movable resin roof bolting machine; providing a movable waste extrusion device; operating the computerized control panel to advance the drill head into the subterranean formation to obtain a mined-out space; and extruding waste material into the mined-out space of the subterranean formation.