Mathematical Simulation of the Behavior of Spent Organic Extracting Agent in the Near-Well Region in the Case of Deep Burial

Abstract

A mathematical model of the physicochemical processes occurring in a reservoir bed with simultaneous disposal of organic and aqueous radioactive wastes in deep-lying porous geological formations is presented. The model includes a description of filtration, convective-dispersive mass transfer, sorption and desorption of radionuclides by the surrounding rock, radioactive decay, decomposition of organic components, and convective heat transfer and heat transmission. The numerical implementation of the method is used as a basis for developing computer software that makes it possible to perform predictive calculations of the change in the state of a reservoir bed of radioactive wastes. The results of the simulation of the dynamics of the thermal fields and the behavior of the components of the spent organic extracting agent and aqueous radioactive wastes in the reservoir bed in the deep-disposal test area are presented.