Aplication of IDW and RBF methods to develop models of temperature distribution within a spoil tip located in Wojkowice, Poland

Abstract

This article describes two methods of showing the distribution of temperature on the surface and inside a spoil tip (coal mine waste dump) located in Wojkowice (in the Silesian Voivodeship). Two deterministic estimation methods were tested, i.e., Inverse Distance Weighting (IDW) and Radial Basis Functions (RBF). According to isotherm maps the highest temperature on the surface of the “Wojkowice” spoil tip was in the NE area, while inside the heap the highest temperature noted was in the SW area. Better results were obtained from the application of the RBF method. A three-dimensional model (3D model) was generated by the method, which visualized the temperature distribution within the “Wojkowice” spoil tip. According to the 3D model of the temperature distribution the greatest heat centre inside the heap in Wojkowice was located in the SW part with a temperature of around 300°C. As a result, it can be concluded that the material of the “Wojkowice” spoil tip is burning out in a NW direction. On the basis of the model obtained it is possible to determine the location of potentially dangerous places which are exposed to possible deformations caused by the material burning under the surface. The results of the research presented make it possible to assess the thermal state of the spoil heap located in Wojkowice, Poland.