Hydraulic stimulation method and corresponding hydraulic stimulation device

A hydraulic stimulation device to hydraulically stimulate rock of a borehole of a well having an interior casing, wherein the hydraulic stimulation device comprises:

• a tubular conduit and several expandable tubular sleeves wherein opposite extremities of which are connected fixedly and in a tightly sealed way to an external face of said conduit, a wall of the conduit comprising at least one aperture to make an interior of the conduit communicate with an interior of each sleeve;
• means of injection into said conduit of a fluid under a first pre-determined pressure, this first pressure being sufficient to prompt expansion of said sleeves towards the wall of the casing so that they get applied in a tightly sealed way against this wall;
• means for plugging the conduit positioned downstream from a first area of the wall of the well to be stimulated;
• means for perforating the wall of the conduit and, at least in certain cases, perforating the wall of the casing, at the first area to be stimulated;
• means of injection, into said conduit, of a fluid under a second stimulation pressure, different from the first pressure, this fluid being intended to surge into the respective apertures of the sleeves situated upstream to the plugging means, as well as into the perforations of the wall of the conduit and, at least in certain cases, into the perforations of the casing, obtained during the perforation at the first area to be stimulated.