Landslide processes in the asymmetric anticline geostructures

The purpose of the research is to explore both the theoretical and practical aspects of natural and man-made gravitational shear deformations and fractures. This will be based on the variational finite element method used to solve elasticity problems for asymmetric multilayer orthotropic shells of rotation while accounting for shear stiffness. To achieve this, we have modeled the shear deformations and failures of heterogeneous three-dimensional asymmetric anticline geostructures under the influence of gravity using the method mentioned above. The method of research. The research employs the variational finite-element method to address the elasticity of multilayer orthotropic shells of rotation, with particular attention to shear stiffness. This approach enables us to accurately assess the degree of deformation and the criteria for the failure of asymmetric three-dimensional heterogeneous anticline geostructures under gravitational forces. This method holds significant theoretical and practical interest. The main result of this study is the establishment of patterns in the shear deformation of asymmetric anticline geostructures under the influence of gravity. The findings indicate that the amplitudes of shear deformation are affected by the degree of asymmetry, the dimensions of the structure, and the mechanical properties of the rocks that compose these geostructures. In solid geostructures that maintain elastic properties, the deformations are inversely proportional to the stiffness of the surrounding rocks. A decrease in the radius of the geostructure results in a reduction of the corresponding deformation. Conversely, an increase in the linear dimensions of the geostructure leads to greater deformation amplitudes. Moreover, the presence of a non-rigid outer layer significantly impacts how the shape asymmetry of anticline geostructures affects their shear deformation. This asymmetry can result in critical quantitative and qualitative changes, potentially destroying the geostructure. The scientific novelty of this research is the establishment of quantitative regularities regarding the shear deformation of the asymmetric anticline geostructures under gravity. We demonstrate that a decrease in the radius of a geostructure results in a reduction of deformation in that structure. Conversely, an increase in the linear dimensions of the geostructure leads to greater deformation. Additionally, a non-rigid outer layer significantly affects the shear deformation of asymmetric anticline geostructures due to the shape's asymmetry. The practical significance of this work lies in the ability to use quantitative estimates to predict and minimize destructive shear processes in asymmetric anticline geostructures under the influence of gravity.