Pyrolysis of Transvaal kerogens. II. An evaluation of vacuum pyrolysis with polyethylene,polystyrene and their mixtures with minerals

A series of experiments have been conducted with polyethylene and polystyrene standards in an attempt to define the advantages and limitations of a vacuum pyrolysis—gas chromatography—mass spectrometry procedure for the characterization of kerogen and other macromolecular substances. Effects of variations in pyrolysis temperatures and times, sample sizes (weights) and thickness were evaluated together with the reproducibility of the nature and abundances of pyrolyzates. The effects of minerals (illite and quartz) admixed in the polymers were also considered with reference to the nature of the breakdown products. Optimal pyrolysis conditions, where primary pyrolyzates were sufficiently abundant and secondary products did not hinder characterization, were attained at 450°C and 60–90 min. The reproducibility of the nature and quantities of pyrolyzates was rather satisfactory at this temperature and pyrolysis time. However, relatively large samples of macromolecular matter, which is considerably volatile at this temperature, led to the synthesis of an abundant yield of secondary products, but sample thickness does not affect the nature of pyrolyzates. Admixed mineral matter affected the nature and relative abundances of the pyrolyzates but did not impede characterization of samples, as primary breakdown products were discernible. Macromolecular substances of limited volatility, heterogeneous chemical composition and containing intractable mineral matter, such as many kerogens, need to be pyrolyzed as relatively large samples. The vacuum procedure used in these studies may be to advantage, as compared with some other methods, to pyrolyze such samples. This method seems to be also suitable for the pyrolysis of volatile macromolecular matter, provided that small samples are employed.     

Hydrocarbons in the surficial sediments of Lakes St. Clair,Erie, and Ontario

Although the long-term effects and the fate of petroleum hydrocarbons in marine and freshwater environments are not fully understood, it is generally recognized that much of the oil released by accidental spills or by various land sources ends up in the sediment where it may remain for at least several years The present study was undertaken to collect some initial data on the hydrocarbon concentrations in surficial sediments of lakes St Clair, Erie, and Ontario The distribution of hydrocarbons in these lakes followed the general patterns found for a number of contaminants, in that the distribution tended to coincide with the outlines of the sedimentary basins The highest concentrations were found in the Western Basin of Lake Erie and in the inshore zone around the west end of the lake, suggesting major inputs from the Detroit River Apart from some spots of high concentration around known dumping grounds, the concentrations gradually diminish toward the east The distribution pattern in Lake Ontario may be more readily ascribed to water circulation patterns than to any specific source around the lake The hydrocarbon levels were found to be significantly lower than those in Lake Erie in Lake St Clair only trace quantities of hydrocarbons were found, suggesting either low inputs or low sedimentation/accumulation rates due to its shallowness Although the present survey was limited to the top 3 cm of the sediments, the resulting distribution patterns indicate the western end of Lake Erie as the area with the heaviest hydrocarbon loadings The results may also facilitate the selection of specific areas where core sampling coupled with more complete analysis of the extracts could yield significant information on the long-term accumulation of anthropogenic hydrocarbons, and on their persistence and transformations in Great Lakes sediments     

Weighted distances and distance transforms on the triangular tiling

Digital geometry is a field in the intersection of discrete mathematics and geometry having various applications including geographical information systems (GIS). In digital spaces, in grids, distances can be defined based on steps in paths in somewhat similarly as in graph theory. However, the grids have more definite structures, thus one may obtain more concrete results, for example, close formulae, than on arbitrary graphs. In this article, the weighted (also called chamfer) distances, and based on them, the distance transform are investigated on the regular triangular grid. Three types of neighborhood relations are used on the grid, and therefore, three weights are used to define a distance function. Natural conditions are used on the weights such as they are positive and a larger step (in the usual and also in the Euclidean sense) cannot have a smaller weight than a smaller one. Some properties of the weighted distances are discussed; for example, they are proven to be metrics. We also give algorithms and formulae that compute the weighted distance of any point pair on a triangular grid. Algorithm for weighted distance transform is provided based on wave-front propagation. Therefore, these new distance functions are ready for further applications in GIS, in image processing tasks, in computer vision, in graphics, in networking, and also in other applied fields.     

A digital geometry on the tetrakis square tiling—Distance and coarsening

There are various tessellations of the plane, including three regular and eight semi-regular tilings. The square grid is self-dual, and the hexagonal and triangular tilings are dual to each other. The semi-regular tessellations are based on more than one type of regular tiles, while their dual tilings are based on a sole but not a regular tile. In various applications, including Geographical Information Systems, it is worth considering non-regular grids instead of the most used square grid. In this article, we are interested in the dual of the semi-regular truncated quadrille tiling, T(8,8,4), which is also known as the Khalimsky grid due to its connectedness structure. In our grid, which is called the tetrakis square or kisquadrille tiling, while it is denoted by D(8,8,4), we consider the right-angled triangle regions of the usual two-dimensional Khalimsky graph as tiles/pixels. We give an easy-to-use coordinate frame addressing the triangles of all the four different orientations. Neighbor relations are described mathematically based on this frame. Based on the shortest path algorithm, a closed formula is proven to compute the digital, that is, path-based distance on this grid. Some properties of the distance function have also been studied. Hierarchical coarsening is a frequently used technique both in Geometric and Geographical Information Systems to rescale some parts of the map. The tetrakis square grid is apt for hierarchical coarsening, and thus, it can easily be used in image compression and multigrid and other related methods.