Model of Non-equilibrium Multiphase Contaminant Transport in Lake Water-Sediment System

The model of contaminant transport between the abiotic components of the lake water-sediment system is presented. The implementation of the model, which uses radioactive material as a contaminant, and the evaluation of parameter values are discussed in the work. A semi-analytical solution of the simulation of the dynamics of contaminant transport in the lake water and one-dimensional sediment solute transport including non-equilibrium processes is presented. The model includes a concept of dynamics of the contaminant sorption in lake water and sediment compartments, considering the specific porous structure of sediments, the contaminant material exchange between the liquid and solid phases of sediments. The key processes included in the model are sedimentation, resuspension, diffusive exchange of solute at the lake water-sediment interface and advection-diffusion in sediment solute. Modelling of the contaminant transport in both spheres (lake water and bottom sediments) is influenced by non-equilibrium and transformation reactions. Special attention was paid to the contamination balance between the two spheres in the interface area. The ranges of boundary and initial conditions were extended, and final results were obtained using an accurate and robust numerical inversion calculation based on the De Hoog algorithm. Therefore, the model can be used in experimental measurements interpreting the contaminant profile in lake sediments as well as a part associated with the comprehensive determination of the volumetric activity, in the estimation of irradiation doses due to radionuclides released into the lake water.