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The aim of this research is ideal solid meshing of a 3D geological body including topography for studies of finite element analysis. In many numerical analyses, solid meshing is abstruse and consumes much time and high CPU usage. This complexity increases with variety of shapes geometry and height heterogeneity of a surface. In geology, this issue...
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... In fact, geotechnical science has been using this method of study for a long time, [3] - [10]. The problem of some meshing of surfaces with natural and especially "rough" topology is a topical problem, [12], [13], and [15]. Usually the authors, who deal with the meshing of surfaces, ask for these surfaces, conditions of smoothness (continuity of functions and first partial derivatives or even higher ones), [14], and [16]. ...
... Ohaegbuchu and Ijeh (2015) studied the crustal structure depending on the field based data and modeling the shear wave velocity distribution. The 3D modeling of geological body with topography has been studied by Farshbaf et al. (2016) by the numerical analysis of solid meshing. Through this study the geometrical shape and elevation variety of any landform can easily be determined and any kind of landform can be identified in a regional scale. ...
The southwestern part of the Bengal Basin has been evolved through the continuous sediment deposited by the river Hugli along with the other tributaries drained from Chotanagpur plateau areas. The present study areas of the Subarnarekha delta region and the middle-lower course have also formed over the shelf region of the Bengal Basin. The history of the sedimentation in relation to the changing nature of sea level, upliftment of land and the neotectonic events are the main processes in the morphological development of the delta. The total study area has been described as Laterite Upland (LU), Older Delta Plain (ODP), Younger Delta Plain (YDP) and Recent Delta Plain (RDP) on the basis of their origin and material types. The role of Holocene transgression and the concomitant fluctuation of sea level had made a distinct morphological impact over the landforms. The geophysical study over the Bengal Basin, Bouguer Gravity Anomaly, Basement depth, recent satellite images, Google Earth image, field observations on a regular basis have been considered for this study. The paper depicts that the delta development processes were active throughout the geological history of the evolution of the Bengal Basin along with the sea level change and neotectonic effects that occurred in the region and their adjustment with the sedimentation in different morphometric units of landform in this area.
As a preliminary three-dimensional numerical analysis, this research aims to detect future zones of high-stress accumulation caused by the interaction of active faults within a 3D topographic geological block based on finite-element analysis. Stress analysis of the three-dimensional topographic model covers both static and dynamic loading caused by topographic loads and crustal movements, and can provide more realistic results. There are many applications to create topographic models from xyz data. Nevertheless, these models do not have the properties required in analytical software. Solid meshing of topographic blocks is abstruse and consumes much time and high CPU usage. Therefore, we first try to create a validated topographic shell model through the introduced methods including nodal projection and statistical analysis, and then upgrade it to a solid model. The stress equations are then assigned to each element of the solid model. The outputs include stress accumulation zones in both pre-failure and failure mode for the whole model. In addition, energy diagrams show the rate of main energies per time and accordingly, represent the perception of power for each energy output. Energy drop during the initial run time is consistent with the collision of the blocks of the model.
The construction of complex stratigraphic surfaces is widely employed in many fields, such as petroleum exploration, geological modeling, and geological structure analysis. It also serves as an important foundation for data visualization and visual analysis in these fields. The existing surface construction methods have several deficiencies and face various difficulties, such as the presence of multitype faults and roughness of resulting surfaces. In this paper, a surface modeling method that uses geometric partial differential equations (PDEs) is introduced for the construction of stratigraphic surfaces. It effectively solves the problem of surface roughness caused by the irregularity of stratigraphic data distribution. To cope with the presence of multitype complex faults, a two-way projection algorithm between threedimensional space and a two-dimensional plane is proposed. Using this algorithm, a unified method based on geometric PDEs is developed for dealing with multitype faults. Moreover, the corresponding geometric PDE is derived, and an algorithm based on an evolutionary solution is developed. The algorithm proposed for constructing spatial surfaces with real data verifies its computational efficiency and its ability to handle irregular data distribution. In particular, it can reconstruct faulty surfaces, especially those with overthrust faults.
