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河道砂体内部渗透率分布具有很强的非均质性。利用典型密井网区块的资料建立了两种类型河道砂体渗透率分布的原型模型并进行了统计分析，揭示了其渗透率分布的分形特征，求取了表征其渗透率分布的分形特征参数，然后将原型模型抽稀到类似于稀井网情形，利用分形插值方法生成一系列等概率的渗透率分布分形随机场，通过与克里金方法对比及与原型模型的统计指标的对比检验，说明克里金方法在稀井网情况下减弱了渗透率分布的非均质性，然而可利用分形参数及分形方法进行稀井网情况下相同沉积类型河道砂体的渗透率分布预测，表明分形方法在地质条件的控制下能表征河道砂体渗透率分布的非均质性特征。
The permeability distribution within the channel sand body is highly heterogeneous. A prototype model of permeability distribution of two types of channel sand bodies is established based on the data of typical dense-well block. The fractal characteristics of permeability distribution are revealed and the fractal characteristics of permeability distribution Then, the prototype model was thinned to a similar situation to that of the rare-well net. Fractal interpolation method was used to generate a series of equi-probabilistic permeability distribution fractal random fields. Comparing with the Kriging method and the comparison with the statistical indicators of the prototype model , Which shows that the kriging method weakens the heterogeneity of permeability distribution in the case of dilute well network. However, fractal parameters and fractal methods can be used to predict the permeability distribution of the same sedimentary type channel sand body in the case of dilute well network. Fractal methods can characterize the heterogeneity of permeability distribution of channel sand bodies under the control of geological conditions.