基于地统计空间插值的三维辐射场重构研究

Reconstruction of 3D Radiation Field Based onGeostatistical Spatial Interpolation

针对源项未知情况下的三维辐射场获取问题,根据辐射场具有空间自相关性的特点,利用地统计空间插值中结合对数变换的普通克里金方法来进行辐射场重构。通过两个实测的辐射场数据集对该方法进行了测试,结果表明,该方法在选取Exponential模型或Spherical模型来进行半方差拟合,且测量点为随机选取的情况下,其重构结果平均偏差的平均值为21.51%~74.01%,证明了该方法在实际应用中具有一定的有效性和可行性。另外,对测量点分布情况与辐射场重构准确性之间的关系进行了初步分析,确定了测量点的分布应尽可能均匀的选取方案。

In this paper,according to the spatial auto-correlation characteristics of radiation field,the general Kriging method in geo-statistical spatial interpolation combined with logarithmic transformation is used to reconstruct the radiation field under the condition of unknown radioactive source.The method is tested through two measured radiation field data sets.The results show that when the Exponential model or Spherical model is selected for semi-variance fitting and the measuring points are selected randomly,the mean deviation of the of the reconstructed result ranges from 21.51%to 74.01%,which proves that the method is effective and feasible in practical application.In addition,the relationship between the distribution of measuring points and the accuracy of reconstructed radiation field is preliminarily analyzed and studied,and the selection scheme that the distribution of measuring points should be as uniform as possible is determined.