一种基于反距离加权方法的层状三维地质界面拟合算法

Stratiform 3D geological interface fitting algorithm based on inverse distance weighted method

三维空间中地质曲面模拟是矿产勘查、大比例尺成矿预测等地学领域的重要研究内容之一。与地球化学、地球物理数据的曲面拟合相比,地质界面拟合更加复杂且具有一般性。从功能需求角度出发,地质界面拟合需要处理层状地层、不整合地层以及存在构造的地层等多种情况;从算法实现角度讲,该拟合过程不同于物化探数据通过某一属性值进行曲面拟合的情况,因为在地质界面模拟过程中,不存在这样的特征值进行曲面拟合,因此不能直接使用物化探数据等值面提取的思想模拟地质接触界面。针对上述问题,提出了一种基于反距离加权法移动立方格算法的层状地层曲面拟合算法。该方法模型适合绝大多数层状地学三维曲面模拟。

Geological curved surface modeling was an important research content in fields of mineral exploration and large-scale mineral assessment. Geological curved surface modeling was more complex, and of generality compared with that of other geological data like geochemical data or geophysical data. Geological curved surface modeling needed to solve many complex situations such as unconformity or faults. In response to these issues, the authors proposed an algorithm of fitting layered geological surface that was based on two algorithms of inverse distance weighted method （IDW） and marching cubes（MC）. The algorithms were characteristic of speedy, accurate fitting for stratified layers on the foundations of mathematical principles and the first theorem of geography, suited most 3D curved surface modeling of the layered earth sciences.