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A Front Advancing Adaptive Triangular Mesh Dynamic Generation Algorithm and Its Application in 3D Geological Modeling

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  • Liang He

    (School of Environmental Science, Nanjing Xiaozhuang University, Nanjing 211171, China
    Key Laboratory of Virtual Geographic Environment (Nanjing Normal University), Ministry of Education, Nanjing 210023, China
    These authors contributed equally to this work.)

  • Xiaoqing Li

    (School of Environmental Science, Nanjing Xiaozhuang University, Nanjing 211171, China
    These authors contributed equally to this work.)

  • Shaohua Lei

    (State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Nanjing Hydraulic Research Institute, Nanjing 210029, China)

  • Bo Bi

    (State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Nanjing Hydraulic Research Institute, Nanjing 210029, China)

  • Suozhong Chen

    (Key Laboratory of Virtual Geographic Environment (Nanjing Normal University), Ministry of Education, Nanjing 210023, China)

Abstract

The traditional advancing front technique algorithm encounters many problems due to the complex geometric characteristics of the front edge shape. These problems include poor quality, a slow algorithm, low robustness, and the inability of the mesh unit to converge. To address these problems, an optimized adaptive triangular mesh dynamic generation algorithm called R-TIN is proposed and applied to 3D engineering geological modeling in this study. Firstly, all the shapes involved in advancing the front edge inward were classified into four types, and then the optimal triangular unit was constructed by using the candidate mesh point heuristic algorithm. Then, the robustness of this algorithm could be maintained by the graded concession of the included angle threshold in the adjacent front-line segments. Finally, based on 160 engineering geological boreholes in the study area, the 3D engineering geological model was constructed and the accuracy and visualization effect of the overall geological model have been greatly improved, which can better present the spatial distribution of strata and lithological characteristics. At the same time, this algorithm can be used in geoscience information services to support the regional or national exploration of resources and energy, sustainable development and utilization, environmental protection and the prevention of geological disasters.

Suggested Citation

  • Liang He & Xiaoqing Li & Shaohua Lei & Bo Bi & Suozhong Chen, 2023. "A Front Advancing Adaptive Triangular Mesh Dynamic Generation Algorithm and Its Application in 3D Geological Modeling," Sustainability, MDPI, vol. 15(9), pages 1-16, April.
    • Handle: RePEc:gam:jsusta:v:15:y:2023:i:9:p:7214-:d:1133414
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    References listed on IDEAS

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    1. S. Khademloo, 2011. "A Multiplicity Result for Quasilinear Problems with Nonlinear Boundary Conditions in Bounded Domains," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2011, pages 1-11, December.
    2. Jia-Bao Liu & Lu-Lu Fang & Ljubisa Kocinac, 2021. "Several Topological Indices of Two Kinds of Tetrahedral Networks," Journal of Mathematics, Hindawi, vol. 2021, pages 1-10, September.
    3. Trang T. Nguyen & Jean-Philippe P. Richard & Mohit Tawarmalani, 2021. "Convexification techniques for linear complementarity constraints," Journal of Global Optimization, Springer, vol. 80(2), pages 249-286, June.
    4. Hui Ding & Xian Xu & Yaozhi Luo, 2017. "Generating Free-Form Grid Truss Structures from 3D Scanned Point Clouds," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-12, September.
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