Abstract
Facies are important in reservoir modeling because the petrophysical properties of interest are highly correlated with facies type. The knowledge of facies constrains the range of variability in porosity and permeability. This paper presents a stochastic modeling for characteristics of petroleum reservoirs constrained by facies to yield results coincided with real geological setting. The facies acting as the constraint are based on known geological data and include depositional microfacies such as an extension direction and a ratio of width to thickness of microfacies. A strategy of the reservoir modeling controlled by facies is as follows: scale differences of reservoir controlled by hierarchy for multi-depth levels along vertical direction; for each depth level, plane zone differences of reservoir managed with nested structure. The constraints are exerted by the following three aspects: combining the order of facies, probability correlation and quantitative geological knowledge database and variogram to constrain heterogeneities of petroleum reservoir.