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岩心分析过程中的取心间隔并非完全相同，这就形成了非等间距的岩心分析数据。测井曲线的数据一般都是采样等间距的，为了使岩心数据与测井数据更好地进行匹配，对岩心分析数据进行插值处理，使分析数据形成等距的形式，然后对插值后的数据根据不同的测井曲线进行滤波，使得岩心分析数据与测井数据的分辨率相匹配，利用处理后的数据建立模型或数据分析才可得到较为准确的模型。克里金插值和分形插值均为非线性的数学插值方法，它们与一般的数学插值方法相比较，能更好地反映数据的内在分布规律。文中分别利用克里金插值和分形插值的理论对岩心数据的插值进行了深入的研究，根据两种插值方法的理论建立了相应的插值方法。经过对两种插值理论的实例对比分析，得到了两种非线性插值方法的优缺点，为进一步的深入研究奠定了一定基础。

A RESEARCH ON THE INTERPOLATION OF CORE ANALYSIS DATA

In the process of core analysis,the coring intervals are not quite equal to each other,which makes the non isometric core analysis data to be formed.The log data,however,are isometrically acquired in general.In order to make the core data and log data well matched,it is necessary to interpolate the core analysis data,which may cause the analysis data isometric.Then,a filtering is carried out for the core data after having been interpolated according to various logs,so as to cause the resolutions of both the core analysis data and the log data to be matched.By use of the handled data,the model set up is accurate or the data analysis carried out is creditable.The Kriging interpolation and fractal interpolation are nonlinear mathematical interpolation methods,which can better reflect the inherent distribution law of the data in comparison with the common ones.A deep going research on the interpolation of core data is carried out by use of the theories of the Kriging interpolation and fractal interpolation respectively in this paper.Relevant models are set up in light of the theories of the two interpoplation methods.Through contrasting and analyzing the examples according to the two interpolation theories,the merits and demerits of the two nonlinear interpolation methods are found,which lays a foundation for further study.