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地质曲面插值重构是三维地质建模的一个研究热点。针对稀疏的地质钻孔数据,提出了一种基于多重二次曲面和反距离加权的组合插值方法——混合多重二次曲面插值方法(MMQS)。为了检验MMQS的精度,以peaks曲面作为先验曲面模拟起伏的地质界面、采用均方根误差(RMSE)和平均绝对百分比误差(MAPE)作为曲面拟合效果的检验标准,验证了MMQS方法比常规的多重二次曲面插值方法有较好的插值精度。MMQS算法易于编程。把MMQS方法运用到地质界面重构中,在VB.net与IDL平台上开发了三维地层可视化系统3D Geo Vis。采用3D Geo Vis对某工程场区进行了三维地层插值和可视化,显示了3D Geo Vis的有效性和便易性。
The interpolation and reconstruction of geological surface is a research hotspot in 3D geological modeling. Aiming at sparse geological borehole data, a combined interpolation method based on multiple quadric and inverse distance weighting is proposed - Hybrid Multiple Quadric Surfaces Interpolation (MMQS). In order to test the accuracy of MMQS, the peak surface was used as the a priori surface to simulate the fluctuating geological interface. The RMSE and MAPE were used as the testing standard of the surface fitting effect. The MMQS method was verified to be more accurate than the conventional The multiple quadric surface interpolation method has better interpolation accuracy. The MMQS algorithm is easy to program. Applying MMQS method to the reconstruction of geological interface, 3D Geo Vis, a 3D visualization system, has been developed on VB.net and IDL platform. Using 3D Geo Vis, 3D modeling and visualization of an engineering site area show the effectiveness and ease of 3D Geo Vis.