采用有限域克里金方法进行校正条带效应

The Correction of String Effect by Finite Domain Kriging

在克里金估值的过程中,在条件数据出现带状分布的情况时,两个端点条件数据的权值容易呈现偏大的条带效应。本文以简单克里金(SK)为例,针对其中产生的条带效应,运用有限域克里金方法(FDSK)对其进行了校正,并将距离约束克里金方法(DCSK)与该方法进行对比。FDSK方法的估计量是多个传统克里金估计量的线性组合,FDSK估计量中用到的权值是这些传统克里金权值的平均值。将FORTRAN的编程语言运用于FDSK方法,并利用FDSK方法进行了实例数值模拟。结果表明新方法不仅消除了传统克里金方法引起的条带效应,而且具有较高的估计精度,优于距离约束克里金方法。该方法的应用能够提高矿业和石油行业中估值和模拟计算的精度。

In the process of kriging estimation with finite strings of data, it can be frequently observed that outlying data in the strings receive higher weights than all other data. This counterintuitive weighting is referred as string effect. Taking simple kriging as an example, we adopt the Finite Domain Simple Kriging method (FDSK) to correct the string effect of simple kriging algorithm, and compared with the Distance Constrained Kriging method (DCSK). The FDSK estimators are linear combinations of several traditional kriging estimators. The kriging weights to be used for FDSK are the average of the weights from the traditional kriging runs. FDSK approach has been programmed by FORTRAN language and tested with a small example. The new method can correct the string effect of the traditional kriging method with a high estimate accuracy which has important realistic significance to improve the accuracy of the estimate in the mining and petroleum industries.