含复杂断层四面体网格自适应分级细化研究
Adaptive hierarchical refinement of tetrahedral mesh with complex faults
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摘要: 目前四面体实体网格自适应细化技术多集中于简单层状地质体的三维重构与表达分析,对于结构复杂、数据不连续的含交错断层等复杂地质体进行自适应细化一直是一个难题。基于网格自适应细化,提出一种含复杂断层的四面体网格自适应分级细化方法。即使用断层影响范围公式自适应确定断层的细化范围;由最短距离公式,确定细化范围内的四面体集;构建四面体的分级细分公式和边的分级细分公式,确定四面体集内四面体网格和边的分级;针对四面体网格细分时出现的多种情况,通过对边的升级处理,将细分的八种类型统一为三种类型;最后,在局部区域内,通过新增加顶点和原顶点重新连接四面体,改变网格的单元尺寸,生成高质量的网格模型。以内蒙古自治区某含交错断层带露天煤矿为实例,细化结果表明,该方法成功优化了断层面附近网格单元,生成了更精确的四面体网格模型。Abstract: Currently, tetrahedral solid mesh adaptive refinement techniques are predominantly focused on the three-dimensional reconstruction and representation analysis of simple layered geological bodies. Addressing adaptive refinement for complex geological bodies with intricate structures and discontinuous data, such as those containing intersecting faults, remains a challenging task. In this study, we propose an adaptive hierarchical refinement method for tetrahedral meshes incorporating complex fault systems.The approach involves determining the fault refinement range adaptively using a formula for the fault influence range. Subsequently, tetrahedral sets within the refinement range are identified based on the shortest distance formula. Formulas for tetrahedral grading and edge grading are established to determine the grading levels within the tetrahedral sets. To handle various cases during tetrahedral mesh refinement, eight subdivision types are unified into three types through edge upgrading. Finally, adaptive hierarchical refinement of tetrahedral meshes is performed by introducing new vertices and reconnecting tetrahedra around the original vertices in the local region. This process alters the mesh cell sizes, generating a high-quality mesh model.Using a coal mine with intersecting fault zones in Inner Mongolia Autonomous Region as a case study, the proposed method is applied to adaptively refine the tetrahedral mesh model containing complex faults. The refinement results demonstrate the successful optimization of mesh elements near fault surfaces, yielding a more accurate tetrahedral mesh model.
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Key words:
- complex geologic body /
- intersecting fault /
- tetrahedral mesh /
- hierarchical /
- adaptive refinement
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