Iterative Method of Finding All Thermophysical Parameters of a Two-Layer Soil

Abstract

The paper develops methods for finding the thermophysical parameters of a two-layer soil. The difference scheme for the equation of quasi-linear thermal conductivity is taken as the basis for the study. Two-layer complexes of containers have been created, the side faces of which are thermally insulated. Measurement work was carried out to obtain values at the two end borders, the environment and at the contact boundary of the two containers. This circumstance makes it possible to solve the inverse coefficient problem in each container independently of each other. We have developed methods for finding all the thermophysical parameters of the soils in both containers. A rational method of choosing the damping coefficient is also proposed, which provides an indicative rate of convergence of the approximate value of the functional to zero. Computational experiments were carried out on the basis of the developed methods and measured data. The results of which show the viability of the developed iterative methods.