Covering point sets with two convex objects

A method for extending fractures in underground formations obtained by controlled pulse fracturing through the use of stabilized hydrogen peroxide solution. Controlled pulse fracturing causes radial fracturing near the wellbore. In order to extend these radial fractures further into the formation or reservoir, stabilized hydrogen peroxide is forced into the radial fractures. Stabilizing agents in the hydrogen peroxide react with metals in the formation causing the hydrogen peroxide to breakdown and form gas pressure sufficient to extend the radial fractures. Hydrocarbonaceous fluids are then obtained from the formation via the extended fractures which contact natural fractures in the wellbore.