A well screen for use in a subterranean well can include a loose filter media, a sandstone, a square weave mesh material, a foam, and/or a nonmetal mesh material. A method of installing a well screen in a subterranean well can include dispersing a material in a filter media of the well screen, after the well screen has been installed in the well, thereby permitting a fluid to flow through the filter media. A method of constructing a well screen can include positioning a loose filter media in an annular space between a base pipe and a shroud, so that the filter media filters fluid which flows through a wall of the base pipe.