the paper will be the underlayment. it's adhered to multi-media board, braced with wood framing, & overlayed with watercolor paper sealed both sides with mod-podge. I thought the styrene sheet, I figured .020 would be a good thickness, would be sufficient to retard a "cool" adhesive (versus a contact-type hot solvent cement).
spray contact cement has been suggested, but those cans historically have been a one time use for me. I never seem to get the nozzle clear enough to spray a week or two later, and it's a bit costly for a single use.