Year-end Sale % OFF 
Abstract
The introduction of modern methods for the mathematical processing of geological data is one of the promising areas of study and development in the field of geosciences. For example, today mathematical geology makes it possible to reliably identify astronomical cycles by measuring the scalar magnetic parameters of rocks (magnetic susceptibility). The main aim of this study is to develop a mathematical tool for identifying stable oscillation cycles (periods) in the dataset of the magnetic susceptibility of rocks in a geological section. The author’s method (algorithm) is based on the concept of discrete mathematical analysis—an innovative mathematical approach to the analysis of discrete geological and geophysical data. Its reliability is also demonstrated, by comparison with the results obtained by classical methods: Fourier analysis, Lomb periodogram, and REDFIT. The proposed algorithm was applied by the authors to analyze the material of field geological studies of the Zhelezny Rog section (Taman Peninsula). As a result, stable cycles were determined for the Pontian and Lower Maeotian sedimentary strata of the Black Sea Basin (Paratethys).
Highlights
This paper presents new field data on the magnetic susceptibility of the Pontian and Maeotian rocks ofnew the Black
This paper presents fieldSea data on(Paratethys), the magnetic susceptibility the Pontian a
Lower Maeotian rocks of the Black Sea Basin (Paratethys), collected within the Zhelez used both classical spectral algorithms and the discrete mathematical analysis (DMA)-algorithm developed in this paper
Summary
Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. The active development of various geodata acquisition techniques caused the accumulation of large amounts of heterogeneous data. Nowadays in geosciences, there is a need for new mathematical methods and approaches to analyze accumulated data. This is especially actual in geology for the analysis and interpretation of complex phenomena, such as paleoenvironmental changes, sedimentation rates, and fluctuations in insolation [1]
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
