Context. In cold and shielded environments, molecules freeze out on dust grain surfaces to form ices such as H 2 O, CO, CO , CH 4 3 OH, NH . protoplanetary disks, conditions are present in the midplane regions beyond snowline, but exact radial vertical extension depend disk mass, geometry, stellar ultra-violet irradiation. Aims. The goal of this work is a computationally efficient method comput...