A damage-resistant filter for use in subterranean wells has at least one layer of a filter medium, such as a sintered supported porous membrane, coaxially disposed about a perforated support member. The filter may also include a drainage layer disposed between the inner support member and the filter medium, and a protective covering, such as a perforated cage, surrounding the filter medium. The filter is particularly suitable for removal of sand and other particulates from fluids produced in a well.