Mathematics & Physics 2016, 9(1), 60–68 УДК 532.546: 551.340 Computer Simulation and Optimization of Soil Thawing Using Microwave Energy Sergej A. Nekrasov∗ Vladimir S.Volkov† Department of Applied Mathematics South-Russian State Polytechnical University Prosveschenia, 132, Novocherkassk, 346400 Russia Received 19.10.2015, received in revised form 06.11.2015, accepted 15.12.2014 The article describes a mathematical model and numerical method for calculating and optimizing the speed of soil thawing using microwave energy. <...> The main numerical method is the enthalpy method without smoothing concentrated heat. <...> A series of calculations are carried out for the cases of sandstone and sandy loam thawing with the use of standard magnetrons. <...> Nonlinear behavior of thermal parameters, phase transitions and boundary conditions significantly influence temperature distribution and electric field. <...> The losses due to convective cooling and evaporation are negligibly small. <...> In this regard, the most important problems in geological engineering and construction are forecast and control the temperature field distribution in soils with different lithological parameters [1–6]. <...> The model includes two-dimensional energy equation for air and Fourier equations to describe the thermal field in thawed and frozen rocks zones. <...> The initial conditions assume an arbitrary temperature distribution in space and time. <...> This model also allows one to take into account the main factor affecting the intensity of heat transfer in time, namely, humidity (iciness) of rocks. <...> It was found [10–11] that changes in the properties of rocks during seasonal freezing are of great importance for the northern regions with harsh winters. <...> Physical and mechanical properties of dispersed rocks in thawed and frozen state are studied for a long time. <...> However, changes in the properties of rocks under the influence of freeze-thaw cycles as well as changes in the properties of rocks during freezing are poorly understood. <...> Problems of the optimal control of temperature fields are relatively new and still little understood. <...> All rights reserved c – 60 – Sergej A. Nekrasov, Vladimir S.Volkov Computer Simulation and Optimization of Soil Thawing Using . to solve the problem. <...> They include direct methods, variational methods and methods of optimal control. <...> This article describes the use of a direct method of optimization <...>