随机分形在刻划储层非均质特性中的应用

储集层的非均质性质普遍存在于砂泥岩储层、碳酸盐岩和火成岩储层中.线性数学手段难以精确描述非均质储层参数的空间分布特征.在详细分析砂泥岩地层参数非均质特性的基础上,将分形方法与克里金方法相结合来刻划储层密度和声波时差的分布规律,通过对两口井的相应参数进行插值产生的虚测井值与真实测井值吻合良好.在井距合理的情况下,统计分形方法能够较好地刻划储集层的非均质性.

The Application of Statistical Fractals to Describing the Reservoir Heterogeneity

The characters of heterogeneity widely exist in shaly sand, carbonate and igneous reservoirs. It is difficult to accurately characterize the parameter distribution through conventional linear methods. On the basis of detailed analyzing the characters of shaly sand reservoir heterogeneity, the authors describe the space distribution of parameters such as density and acoustic time difference by combining fractals with Kriging. By interpolation between two wells the pseudo logs are derived and they are in good accordance with the real log value. Under the suitable well distribution, the statistical fractals can describe the reservoir heterogeneity satisfactorily.