MATHEMATICAL MODELING AND DEVELOPMENT OF AN AUTOMATED SYSTEM FOR SEARCHING RING STRUCTURES IN GEOLOGY
Mazakova A.T. Jomartova S.A. Mazakov T.Z. Ziyatbekova G.Z. Sametova A.A.
2023National Academy of Sciences of the Republic of Kazakhstan
News of the National Academy of Sciences of the Republic of Kazakhstan, Series of Geology and Technical Sciences
2023#1Issue 457154 - 165 pp.
With the development of satellite technologies, geoinformatics is becoming increasingly widespread. Three-dimensional surfaces are important objects for the study of modern geographic information systems (GIS). In recent years, the number of works on this topic has been growing rapidly due to the deployment of information systems. In works (Brodsky, 2014; Kalyutov, 2015) mathematical models of three-dimensional images are presented. Dissertations (Garanja, 2014; Voloboy, 2012; Kharchenko, 2012; Nguyen, 2011) are devoted to the problem of synthesis of realistic images. A number of works are devoted to the construction of surface models based on the Delaunay triangulation (Kuchunova et al., 2016; Elugachev et al., 2021; Tyukachev, 2010; Khlebnikov et al., 2010). The task of constructing a Delaunay triangulation is one of the basic ones in computational geometry. Many other tasks are reduced to it, it is widely used in computer graphics and geographic information systems for modeling surfaces and solving spatial problems. As practice shows, the choice of a structure for representing a triangulation has a significant impact on the theoretical complexity of the algorithms, as well as on the speed of a specific implementation. In addition, the choice of structure may depend on the purpose of further use of triangulation. In triangulation, three main types of objects can be distinguished: nodes (points, vertices), edges (segments) and triangles. To approximate the relief model to the real one, additional elements are introduced into it, which ensure that its linear and areal structural elements are taken into account and displayed. Such additional elements are structural lines: watersheds, thalwegs, ridges, cliffs, ledges, lakes, ravines, coastlines, boundaries of artificial structures, etc., the totality of which creates the framework of the Delaunay triangulation. These breaklines are introduced into the triangulation as the edges of triangles, which is how the simulation of real relief elements is achieved against the background of general unevenness of the earth’s surface. Such edges are called structural (fixed, non-rebuildable), and subsequently do not change. In this regard, there is a need to develop and investigate a mathematical model for displaying the terrain, taking into account its illumination by applying line density. Applying 2D function interpolation techniques allows for smoother surface views. This work is devoted to solving these problems. The developed automated system for searching for ring structures is based on algorithms for the spatial display of the surface relief, taking into account its illumination on raster-type graphic devices. The proposed system can be used in geology to search for hydrocarbons and other minerals.
automated system , geophysics , illumination , minerals , ring structures
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Institute of Information and Computational Technologies CS MES RK, Almaty, Kazakhstan
Al-Farabi Kazakh National University, Almaty, Kazakhstan
Institute of Information and Computational Technologies CS MES RK
Al-Farabi Kazakh National University
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