According to the invention, a bottom hole assembly for drilling a cavity is disclosed. The bottom hole assembly may include a chassis configured to rotate. The chassis may include a primary fluid conduit, a secondary fluid circuit, a pressure transfer device, a plurality of pistons, a plurality of valves, and a plurality of cutters. The primary fluid conduit may be accept a first fluid flow. The secondary fluid circuit may have a second fluid flow. The pressure transfer device may be configured to transfer pressure between the flows. The pistons may be operably coupled with the secondary fluid circuit, and each piston may be configured to move based at least in part on a pressure of the secondary fluid circuit at that piston, with the valves possibly configured to control a pressure of the secondary fluid circuit at each piston. Each cutter may be coupled with one of the pistons.