Article outline

Objective: To present a mathematical model and build numerical solutions for the initial stage of the two-dimensional problem of developing a reservoir with high-viscosity oil using the technology of paired horizontal wells.

Solution methods: The problem was solved by numerical realization of the problem by the method of finite differences, the splitting scheme was adopted. According to this scheme, each two-dimensional equation splits into two one-dimensional equations and the process of changing parameters along the plane is replaced by two processes.

As a result of the study, numerical solutions of the problem of the possibility of extracting high-viscosity oil from the formation with the use of thermal action were obtained. The proposed method is aimed at increasing the efficiency of developing an oil reservoir with high viscosity oil by ensuring a uniform warming up of the developing zone of the field. The adopted model allows to trace a detailed two-dimensional picture of oil filtration in the reservoir and to investigate the main regularities of this process.