Abstract: An abrasive member for surfacing a workpiece by rotary abrasion under a flow of liquid, comprises a base and a plurality of abrasive segments protruding from the base. The abrasive segments are shaped and arranged in spaced relation to one another so as to form a network of intersecting primary and secondary channels, the secondary channels cooperating with the primary channels to effect substantially complete scavenging of detritus by centrifugal drainage of waste liquid carrying the detritus through both the primary and secondary channels to the outer periphery of the arrangement of abrasive segments.