Abstract: 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.

Key words: reservoir, heterogeneity, statistical fractals