Abstract: A filtering element for the filtration of a fluid medium comprises a rigid porous support of cylindrical shape having a longitudinal central axis (A) and a plurality of channels for the circulation of the fluid medium to be filtered and collection of filtrate on the periphery of the support. The channels are arranged in the support parallel to its central axis central (A) and define at least three filtering zones which are distributed concentrically and separated from each other by a continuous porous zone. The mean thickness of the porous zone (Z1) closest to the central axis (A) is smaller than the mean thickness of the porous zone (Zn-1) the closest to the periphery of the support (1) and, in the direction moving away from the central axis (A) of the support towards its periphery, the mean thickness of a porous zone is either identical to the next or smaller.

Abstract: The subject of the invention is a membrane for the cross-flow filtration of a fluid to be treated that contains abrasive particles, comprising a porous support covered over part of its surface with a separation layer having a pore diameter smaller than that of the support, over which the fluid to be treated flows, characterized in that the separation layer includes an agent for protection from the abrasive particles.

Abstract: A filtration element for filtering a fluid medium comprising a rigid porous support of cylindrical shape having a longitudinal central axis (A) and comprising a plurality of channels for the circulation of the fluid medium to be filtered with a view to recovering a filtrate at the periphery of the support. The channels are parallel to a central axis of the support. The channels have at least three filtration crowns, characterized in that at the three crowns closest to the periphery of the support there is at least a substantial alignment of 3 adjacent axes among the axes of the flow and connection paths and the axes of the channels, which favors the mechanical strength of the support.

Abstract: The subject of the invention is a membrane for the cross-flow filtration of a fluid to be treated that contains abrasive particles, comprising a porous support covered over part of its surface with a separation layer having a pore diameter smaller than that of the support, over which the fluid to be treated flows, characterized in that the separation layer includes an agent for protection from the abrasive particles.