The objective of the research presented in the paper was to study the process of adsorption of oil impurities with the use of clinoptylolite and diatomite. The effect of various factors on process course was determined, the process was described with isotherms and the adsorptive capacities of tested minerals were determined on their basis.

Anthropogenic forms are important components of the Upper Silesian landscape. Among them, the slag and spoil dumps of coal, ferrous and non-ferrous metals, have an extraordinary aesthetic and document value - they provide evidence of the history of industrialization of this region. Waste rock accumulated in the dumping areas might be a source of utilizable material; thus the existence of most of the dumps is transitional phenomenon. However, a part of forms built from the rocks of low technical parameters have pretty big chance to remain. It happens in Western Europe that some of the dumps are left in the landscape as the evidence of history. They are usually spectacular objects treated as the natural monuments.

In the paper the thermal processes proceeding in the solidifying metal are analyzed. The basic energy equation determining the course of solidification contains the component (source function) controlling the phase change. This component is proportional to the solidification rate ¶ fS/¶ t (fS Î [0, 1], is a temporary and local volumetric fraction of solid state). The value of fS can be found, among others, on the basic of laws determining the nucleation and nuclei growth. This approach leads to the so called micro/macro models (the second generation models). The capacity of internal heat source appearing in the equation concerning the macro scale (solidification and cooling of domain considered) results from the phenomena proceeding in the micro scale (nuclei growth). The function fS can be defined as a product of nuclei density N and single grain volume V (a linear model of crystallization) and this approach is applied in the paper presented. The problem discussed consists in the simultaneous identification of two parameters determining a course of solidification. In particular it is assumed that nuclei density N (micro scale) and volumetric specific heat of metal (macro scale) are unknown. Formulated in this way inverse problem is solved using the least squares criterion and gradient methods. The additional information which allows to identify the unknown parameters results from knowledge of cooling curves at the selected set of points from solidifying metal domain. On the stage of numerical realization the boundary element method is used. In the final part of the paper the examples of computations are presented.

Applications of morphological filters for two-process profiles were analysed. Dilation, closing and alternating sequential (closing +  opening) filters were used with a circle (disk) as a structuring element. An original method of a disk radius selection was elaborated for two-process profiles. This procedure was applied for many simulated and measured profiles. Behaviors of morphological filters were compared with those of double Gaussian (Rk) filter. Robust filter was also taken into consideration. In calculation, TalyMap software was used. The proposed procedure was found to be very useful. It was developed for 2D profiles but it can be easily extended for an areal (3D) surface topography filtering. From among morphological filters, the alternate sequential filter is suggested.