混合多重二次插值在三维地层可视化中的应用

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 GeoVis。采用3D GeoVis对某工程场区进行了三维地层插值和可视化,显示了3D GeoVis的有效性和便易性。

Application of Mixing Multiple Quadratic Interpolation Method in 3D Stratum Visualization

The reconstruction of geological interfaces is a hot problem in 3D geology modeling field.A new interpolation method based on the combination of multiple quadratic surface interpolation (MQS) and inverse distance weighting interpolation (IDW),named Mixing Multiple Quadratic Surface (MMQS),is proposed to reconstruct stratum interfaces with sparse borehole data.To demonstrate the accuracy of MMQS,the classic curved surface "Peak" was chosen as a maternal sample of geological interface for interpolation,root mean square error (RMSE) and mean absolute percentage error (MAPE) were taken as standards for accuracy examination.By this way,MMQS was proved to have higher interpolation accuracy than conventional MQS.A 3D stratum visualization software system 3D GeoVis was developed with MMQS by using VB.net & IDL.As an example,the 3D GeoVis was applied to an actual project geological map visualization.The good performance of 3D GeoVis in this example shows that it is an effective and convenient tool for 3 dimensional geological mapping and visualization.