The non-classical solution of the inhomogeneous non-linear diffusion equation
Applied Mathematics and Computation
| Hi-index | 0.48 |
A theoretical analysis of the migration of nuclides leaching out of a repository is presented. The analysis is applicable to a situation where the diffusion and convection process can be described by (1 + 2) dimension elliptic partial differential equation (PDE). Explicit mathematical formulas have been derived, using symmetry method, for the pore-water concentration of nuclides. By means of a parametric study the effect of cracking on the transport of radionuclides, groundwater velocity and diffusion coefficients on nuclide migration are elucidated. The results indicate that the migration rate in the surrounding geomedium is manageable through the cracks with factor depends on the various parameters of the disposal-vault conditions.