Principals of the Continue model of Geomedia Construction

• Published in: IOP conference series. Earth and environmental science Vol. 861; no. 2; pp. 22021 - 22028
• Main Authors: Guzev Mikhail, A., Odintsev Vladimir, N., Makarov Vladimir, V.
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 01.10.2021
• Subjects: Algorithms; Earth crust; Structural members
• ISSN: 1755-1307; 1755-1315
• DOI: 10.1088/1755-1315/861/2/022021

The problem of constructing a continuous model of a hierarchical-block geomedia is considered. The basic structural element providing the geomedia structuring is determined, and the transition from a hierarchically blocky to a hierarchically structured media is discussed. The introduction of four structural levels is sufficient for the geomedia modeling within the Earth’s crust. To describe the fractured structures, a non-Euclidean model of a continuous medium is applied, which considers the violation of the deformation compatibility conditions. An algorithm for the transition to a continual description of such structures is presented, and nonsingular solutions for a plane-stressed field are constructed. The performed analysis showed that this approach requires applying the principle of hierarchical non-Euclidianity and a monolithic block principle.