Research on tetrahedral adaptive mesh grading refinement for intersecting faults

Current tetrahedral adaptive mesh refinement techniques have primarily focused on the 3D reconstruction and analysis of simple stratified geological bodies. When applying adaptive mesh refinement to complex geological structures, such as those containing intersecting faults with discontinuous data,...

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Main Authors: CHEN Yingxian, ZHU Zhe, MA Huiru, FU Jiepeng
Format: Article
Language:zho
Published: Editorial Department of Industry and Mine Automation 2024-09-01
Series:Gong-kuang zidonghua
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Online Access:http://www.gkzdh.cn/article/doi/10.13272/j.issn.1671-251x.2024030058
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author CHEN Yingxian
ZHU Zhe
MA Huiru
FU Jiepeng
author_facet CHEN Yingxian
ZHU Zhe
MA Huiru
FU Jiepeng
author_sort CHEN Yingxian
collection DOAJ
description Current tetrahedral adaptive mesh refinement techniques have primarily focused on the 3D reconstruction and analysis of simple stratified geological bodies. When applying adaptive mesh refinement to complex geological structures, such as those containing intersecting faults with discontinuous data, excessive refinement can easily lead to compromised mesh structures in the fault zones. To improve the accuracy of tetrahedral mesh models for such complex fault systems, this study proposed a tetrahedral adaptive mesh grading refinement method specifically for intersecting faults. Initially, the refinement range around the fault was adaptively determined based on a fault influence formula. Subdivision formulas were then developed for tetrahedrons and tetrahedral edges to grade both the tetrahedrons and their edges within the refinement range. To address the various scenarios that arose during tetrahedral mesh subdivision, the eight types of subdivisions were unified into three types by upgrading the edge treatments. Finally, new vertices were introduced, and existing vertices were reconnected to tetrahedrons within the refined area, adjusting mesh element sizes to generate a high-quality mesh model. A case study was conducted on a tetrahedral mesh model from an open-pit coal mine in Inner Mongolia. The mesh model was analyzed before and after refinement using a 3D mesh quality evaluation algorithm and FLAC3D simulation software. Results showed that the distortion value of the refined mesh model decreased from 0.3317 to 0.3061, indicating an improvement in mesh quality. Under the same parameters, the unrefined model exhibited a maximum displacement of 1.16 m with a stability coefficient of 1.27, while the refined model showed a maximum displacement of 1.29 m and a stability coefficient of 1.23. The displacement cloud map of the refined model was aligned with the fault, accurately reflecting the fault distribution and its impact on the slope. In contrast, the displacement cloud map of the unrefined model was misaligned with the fault center, demonstrating a less pronounced effect of the fault on the slope.
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spelling doaj-art-c81c902a09f64e8e8565825b7b504a1c2024-12-04T01:38:20ZzhoEditorial Department of Industry and Mine AutomationGong-kuang zidonghua1671-251X2024-09-0150915316010.13272/j.issn.1671-251x.2024030058Research on tetrahedral adaptive mesh grading refinement for intersecting faultsCHEN Yingxian0ZHU Zhe1MA Huiru2FU Jiepeng3College of Mining, Liaoning Technical University, Fuxin 123000, ChinaCollege of Mining, Liaoning Technical University, Fuxin 123000, ChinaCollege of Mining, Liaoning Technical University, Fuxin 123000, ChinaCollege of Mining, Liaoning Technical University, Fuxin 123000, ChinaCurrent tetrahedral adaptive mesh refinement techniques have primarily focused on the 3D reconstruction and analysis of simple stratified geological bodies. When applying adaptive mesh refinement to complex geological structures, such as those containing intersecting faults with discontinuous data, excessive refinement can easily lead to compromised mesh structures in the fault zones. To improve the accuracy of tetrahedral mesh models for such complex fault systems, this study proposed a tetrahedral adaptive mesh grading refinement method specifically for intersecting faults. Initially, the refinement range around the fault was adaptively determined based on a fault influence formula. Subdivision formulas were then developed for tetrahedrons and tetrahedral edges to grade both the tetrahedrons and their edges within the refinement range. To address the various scenarios that arose during tetrahedral mesh subdivision, the eight types of subdivisions were unified into three types by upgrading the edge treatments. Finally, new vertices were introduced, and existing vertices were reconnected to tetrahedrons within the refined area, adjusting mesh element sizes to generate a high-quality mesh model. A case study was conducted on a tetrahedral mesh model from an open-pit coal mine in Inner Mongolia. The mesh model was analyzed before and after refinement using a 3D mesh quality evaluation algorithm and FLAC3D simulation software. Results showed that the distortion value of the refined mesh model decreased from 0.3317 to 0.3061, indicating an improvement in mesh quality. Under the same parameters, the unrefined model exhibited a maximum displacement of 1.16 m with a stability coefficient of 1.27, while the refined model showed a maximum displacement of 1.29 m and a stability coefficient of 1.23. The displacement cloud map of the refined model was aligned with the fault, accurately reflecting the fault distribution and its impact on the slope. In contrast, the displacement cloud map of the unrefined model was misaligned with the fault center, demonstrating a less pronounced effect of the fault on the slope.http://www.gkzdh.cn/article/doi/10.13272/j.issn.1671-251x.2024030058intersecting faultsadaptive mesh refinementtetrahedrontetrahedral edgeadaptive grading refinementmesh modeling
spellingShingle CHEN Yingxian
ZHU Zhe
MA Huiru
FU Jiepeng
Research on tetrahedral adaptive mesh grading refinement for intersecting faults
Gong-kuang zidonghua
intersecting faults
adaptive mesh refinement
tetrahedron
tetrahedral edge
adaptive grading refinement
mesh modeling
title Research on tetrahedral adaptive mesh grading refinement for intersecting faults
title_full Research on tetrahedral adaptive mesh grading refinement for intersecting faults
title_fullStr Research on tetrahedral adaptive mesh grading refinement for intersecting faults
title_full_unstemmed Research on tetrahedral adaptive mesh grading refinement for intersecting faults
title_short Research on tetrahedral adaptive mesh grading refinement for intersecting faults
title_sort research on tetrahedral adaptive mesh grading refinement for intersecting faults
topic intersecting faults
adaptive mesh refinement
tetrahedron
tetrahedral edge
adaptive grading refinement
mesh modeling
url http://www.gkzdh.cn/article/doi/10.13272/j.issn.1671-251x.2024030058
work_keys_str_mv AT chenyingxian researchontetrahedraladaptivemeshgradingrefinementforintersectingfaults
AT zhuzhe researchontetrahedraladaptivemeshgradingrefinementforintersectingfaults
AT mahuiru researchontetrahedraladaptivemeshgradingrefinementforintersectingfaults
AT fujiepeng researchontetrahedraladaptivemeshgradingrefinementforintersectingfaults