A system for and method of limiting and controlling the unintended subsurface release of an exploration or production riser system is provided including one or more means for anchoring the riser or casing stack at one or more pre-determined points upon the length of the riser, and/or on the housing of an associated buoyancy chamber or the like, and/or on a particular portion of the riser as dictated by the operational environment, and/or on an anchor portion secured in the sea floor; and a network of restraining members disposed on the anchoring means. A lower anchoring portion includes one or more anchors disposed in communication with a wellhead, or with the sea floor or below the sea floor mud line, or with a well casing portion. A network of restraining members forms an essentially continuous connection from the buoyancy member portion to said bottom anchor portion. In a particular, though, non-limiting embodiment of the invention, a means for anchoring the system using pairs of anchors disposed at one or more predetermined points along the riser portion of the system is provided. Also disclosed is a variety of means and devices by which a surface vessel or a rig, etc., servicing a subsea well equipped with the present system may absorb or deflect impact forces originating from portions of the system that unexpectedly break free and rush upwards toward the surface vessel or rig.