“…Lap']ace and F_'ourier l_ra}_i_sforms, ''Gauss-Le'geridre integr_t_'on, Radion'u'clide Transport, An_l_tic_l Sol_tion,^ConveGtioo-Disl_ersion_ Diffusion, R_dioa_tiv@ Decaj_, F_ej_a.rd_tioI1,one _umulaz__n_ jwo-u_mAnSve _as_°n@' _i),qcen_ra_on, _nQJe rri}cture, Mult_Dte Fracture, KOCKmazr_x,.Mass Flu> , zso_nE, rma_, vara_lel (Neretnieks, 1980)andadsorptive properties (Rickert et al,, 1979), Analytical solutions for solute transport in planar fractures reported to date are for the most part unidimensional; they neglect in some cases the dispersion phenomena as well as decay reaction at the source, and they are based on the Laplace transformation technique, The first recursive onedimensional solution for dispersion-free transport of a decay chain ofarbitrary length is a single fracture with diffusion into the rock matrix was presented by Kanki et al, (1981) (see also Chambrd et al, 1982. Subsequently a nonrecursive solution for a three-member decay chain neglecting dispersion in the fracture and radioactive decay in the rock matrix was reported by the same authors (see Chambrd et al,, 1982), Neretnieks (1980) reported a solution for the nondispersive transport of a decaying species along a discrete fracture and rock matrix of infinite thickness, and demonstrated the overall impact of the matrix diffusion mechanism on the transport process, Rasmuson and Neretnieks (1980) presented a solution for the radial diffusion problem and longitudinal dispersion in spherical porous particles; their work is an extension of the Rosen (1952) solution, which neglected the dispersion effects, and apparently an improvement of the Babcock et al (1966) solution of the same problem.…”