Adaptive smooth building method for 3D geological model based on geometric subdivision
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摘要: 为钻孔采样数据设计的广义三棱柱体元是地质建模中的常用方法，它利用相邻的三棱柱体元表达地层空间分布情况，而通常相邻钻孔采样间隔较大，导致这些区域模型的精度较低，地层面不光滑。基于此提出了三棱柱三维地质模型的插值平滑的理论和方法，在不该变模型数据结构的情况可以自适应地细分三棱柱模型实现高精度插值。①提出了三棱柱三维地质模型几何平滑度的定义与计算方法，用于判断一个三棱柱体元是否需要插值。②详细讨论了基于三棱柱几何平滑度的三维地质模型插值虚拟钻孔设计与计算方法。③基于虚拟钻孔设计计算和基于现有三棱柱体元的三维地质模型自适应平滑插值方法研究。Abstract: The generalized triangular prism (GTP) voxel designed for the borehole data is the commonly method in the geological modelling, and it can be used to build the 3D solid geological model to express the stratigraphic space through the adjacent GTP voxel based on the borehole sampling data. Its accuracy is lower, and the stratigraphic surface is non-smooth when the interval of the adjacent borehole is long, so the theory and method of interpolation and smoothing of the GTP 3D geological model is proposed, which can interpolate the GTP model adaptively but not change the model structure. The main content is as follows: (1) The definition of GTP model smoothness and the relevant method are proposed to measure the smooth degree of the GTP model, which is used to deicide whether the GTP voxel needs interpolation. (2) The design of virtual boreholes and the corresponding method for the interpolation of the GTP geological model according to the GTP geometric smoothness are discussed. (3) The interpolation method for the adaptive GTP geological model based on the design and calculation of the virtual boreholes, can be studied based on the existing GTP building method.
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