Mathematical Model of Virus Transport and Survival in Groundwater

Abstract

This project presents a mathematical model for predicting virus transport and survival capabilities in groundwater. The basis for the model is a virus mass balance which results in a nonlinear partial differential equation. Closed form solutions to the general equation have been developed utilizing both the linear and Freundlich isotherms. The solutions formulated for each isotherm have been converted into an interactive FORTRAN computer program. The purpose of the program is to provide easily obtainable predictions of safe distances between home septic tank systems and private drinking water supplies. The model was tested using typical values for soil hydraulic properties and adsorption coefficients. Inactivation rates used in the tests were those previously reported in the literature. The results of the tests were good, and when more specific data is available, the testing should be completed.