Membrane structure suitable for a sand production test of a rock sample provided with a hollow cylinder shape extended along a longitudinal direction, the membrane structure comprising a main body, wherein the main body comprises: a housing configured to confine the rock sample within; a watertight outer wall adapted to withstand external hydrostatic pressure exerted by a first fluid when the membrane structure is in operative manner; a permeable inner wall limiting the housing and configured to exert pressure on the rock sample and, to inject a second fluid into the outer surface of said rock sample when the membrane structure is in operative manner; a first base; a second base opposite to the first base according to the longitudinal direction; characterized in that the main body further includes: a plurality of internal hollow chambers located between the watertight outer wall and the permeable inner wall, wherein the main body of the membrane structure comprises a plurality of partition walls, each one of the plurality of partition walls being configured for separating two adjacent internal hollow chambers; the first base or the second base of the main body comprises a plurality of inlets (113.1), each one being configured for establishing a fluidic communication between one of the plurality of internal hollow chambers and an external source of the second fluid; and each one of the plurality of internal hollow chambers comprises a plurality of rigid particles (115.1) filling the inner space of each hollow chamber, said plurality of rigid particles (115. 1) intended for transmitting the external pressure exerted from the outer wall to the inner wall while allowing the passage of the second fluid from the at least one inlet (113.1) to the permeable inner wall. a housing configured to confine the rock sample within; a watertight outer wall adapted to withstand external hydrostatic pressure exerted by a first fluid when the membrane structure is in operative manner; a permeable inner wall limiting the housing and configured to exert pressure on the rock sample and, to inject a second fluid into the outer surface of said rock sample when the membrane structure is in operative manner; a first base; a second base opposite to the first base according to the longitudinal direction; characterized in that the main body further includes: a plurality of internal hollow chambers located between the watertight outer wall and the permeable inner wall, the main body of the membrane structure comprises a plurality of partition walls, each one of the plurality of partition walls being configured for separating two adjacent internal hollow chambers; the first base or the second base of the main body comprises a plurality of inlets (113.1), each one being configured for establishing a fluidic communication between one of the plurality of internal hollow chambers and an external source of the second fluid; and each one of the plurality of internal hollow chambers comprises a plurality of rigid particles (115.1) filling the inner space of each hollow chamber, said plurality of rigid particles (115. 1) intended for transmitting the external pressure exerted from the outer wall to the inner wall while allowing the passage of the second fluid from the at least one inlet (113.1) to the permeable inner wall.