[en] We are developing a future project to accelerate heavy-ion beams at J-PARC (J-PARC Heavy-Ion Project, J-PARC-HI) to create and study high-density nuclear matter, which should exist in the neutron star. In this project, we will build a new heavy-ion injector consisting of a linac and a booster ring, and accelerate heavy ions in the existing Rapid-Cycling Synchrotron (RCS) and Main Ring synchrotron (MR). The designed energy and the intensity are about 11 GeV per nucleon and 10¹¹ Hz, respectively. We will transport slowly-extracted heavy-ion beams to J-PARC Hadron Experimental Facility through the primary proton beamline (high-P). In this work, we show the first attempt to study of the radiations with the heavy-ion beams at the present geometry of the high-P area, and the geometry with additional radiation shields for the designed high-intensity heavy-ion beams. (author)