Geological and mathematical models of the oil reservoir of the post-salt Kenkiyak field have been investigated and built. 6 types of geological models have been proposed, and on the basis of these models, mathematical models of oil deposits have been developed. Geological models are built on the basis of research results, taking into account the requirements of regulating the development of the Kenkiyak field, the geological characteristics of the field and the rate of operation. The mathematical model is based on the basic Darcy equations and includes equations for conservation of mass and energy, equations for limiting mass and oil saturation. The issues of modeling and determination of the relative permeability at the end point are studied, the results of determining the parameters of the relative permeability of different formations at normal and high temperatures are presented. The results of identification of parameters of mathematical models are considered.
Keywords: geological model, mathematical model, oil reservoir, post-salt Kenkiyak field, heat production model, oil saturation.