Solution of diffusion-advection equation of radon transport in many-layered geological media

Abstract

Radon transport modeling in geological media is widely applicable to solve practical problems and to explore the regularities of radon behavior [1–4, 6, 9, 10]. Based upon mathematical model the assessment of transport parameters is performed and predictions applicable in different spheres are made, for example: in building to amend the Code of Practice; in geological exploration to explore uranium ore deposits; in radioecology to assess radon danger for areas and buildings; in geophysics to study lithosphere-atmosphere bonds. Radon transport modeling in geological media, which are described as similar to real ones, is a difficult issue, because geological medium is heterogeneous, layered with significantly different geophysical and geochemical characteristics for each layer. In this case a model of radon transport in layered medium with non-constant coefficients is required. Model coefficients can be the functions of spatial and time coordinates, and moreover, they can change very rapidly at a border of two adjacent layers, i.e. they can be discontinuous at the borders of each layer that can be caused by greatly Solution of diffusion-advection equation of radon transport in many-layered geological media Valentina S. Yakovleva, Roman I. Parovik