The characters of fan delta sedimentary such as large longitudinal thickness and fast lateral change cause that the conventional geological modeling method cannot be effectively applied to such reservoirs. Base on the analysis reservoir physical properties, rock grain size characteristics and rock physical characteristics, the influence of rock grain size characteristics to rock physical characteristics and reservoir physical properties can be built up. According to the transition law and heterogeneity change characteristics of fan sedimentary, the probability distribution probability field of porosity can be established by combining elastic parameters with the corresponding laws of elastic parameters relate with grain size and physical properties. The Bayesian theory can be used to build the physical model with the grain size law constrained by the elastic impedance directly, which avoid the error accumulation caused by lithofacies modeling in conventional way. In this article the traditional modeling method is improved to form an improved Bayesian- Sequential Gaussian simulation method. This method realizes the physical property modeling constrained by the grain size law, and the model characteristics conform to the sedimentary law and prior information, and can reflect the geological law of fan delta sedimentary reservoir effectively.

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