Abstract: A technique facilitates use of a swellable packer or packers which may be disposed along completion equipment of a well string. Each packer comprises a packer frame and a plurality of swellable elements formed of materials which swell in different types of fluids. The plurality of swellable elements may comprise a first swellable element mounted on the packer frame and swellable in a first type of fluid. A second swellable element also may be mounted on the packer frame proximate the first swellable element and swellable in a second type of fluid which is different from the first type of fluid. Additionally, a portion of an alternate path system may extend through the swellable elements to facilitate a gravel packing operation.