The relevance of the analysis of methods for constructing three-dimensional models of initial oil saturation is caused by their wide use in solving the most important problems of oil and gas field geology: calculating reserves, designing and managing development, etc. The accuracy of solving these problems directly determines the efficiency of hydrocarbon extraction. The goal is to analyze the current state of the algorithmic base of three-dimensional modeling of oil saturation, to identify the main problems and the most promising areas of development. Interpolation methods: deterministic and stochastic. For different geological situation, these methods can be modified by using indirect and apriori information. Possible types and methods of using indirect information for various geological situations. Results. The main possibilities of improving the accuracy of three-dimensional models of oil saturation are identified. The methods of checking the quality of the initial data and the adequacy of the constructed models are classified. Specific algorithms for creating models for two most promising areas of development of the algorithmic base for three-dimensional oil saturation modeling are presented.