一种基于距离场的三维地质空间属性插值方法

针对根据一系列属性等值线剖面/断面数据进行三维空间插值问题,笔者提出一种基于距离场的三维空间属性插值方法。首先,根据对应属性等值线轮廓生成三维等值面;然后,构建属性等值面的三维距离场;最后,对于空间内任意点属性,根据其两侧等值面的距离场数据进行线性插值求取,从而生成整个三维空间内的属性场模型。将该方法应用于某铜矿区的可控源音频大地电磁法(CSAMT)剖面数据,在已知视电阻率等值线剖面的基础上,插值得到三维空间的视电阻率场,可用于揭示地下空间物性分布和预测隐伏矿体等。

A method of three-dimensional geo-spatial attribute interpolation based on the distance field

To solve the problem of three-dimensional spatial attribute interpolation according to the contours extracted from a series of section data, a three-dimensional spatial attribute interpolation method based on the distance field. Firstly, the contour surfaces are generated according to the corresponding contour lines. Secondly, the three-dimensional distance fields of the corresponding contour surfaces are constructed respectively. Finally, the attribute of each voxel in three-dimensional space is determined by linear interpolation of distance fields of its two-neighboring contour surfaces, thus a three-dimensional spatial attribute field model is generated. This method has been applied to profile data a controlled source audio-frequency magnetotelluric (CSAMT) survey in a copper mine area, and the three-dimensional apparent resistivity field is generated based on known resistivity profiles, which can help reveal of the physical attribute distribution of underground space and predict concealed ore-bodies.