Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2017, Volume 159, Book 3, Pages 327–339
Petroleum reservoir simulation using super-element method with local detalization of the solution
A. B. Mazo, K. A. Potashev
Kazan Federal University, Kazan, 420008 Russia
In this paper, we propose a two-stage method for petroleum reservoir simulation. The method uses two models with different degrees of detailization to describe the hydrodynamic processes of different space-time scales. At the first stage, the global dynamics of the energy state of the deposit and reserves has been modeled (characteristic scale of such changes is km/year). The two-phase flow equations in the model of global dynamics operate with smooth averaged pressure and saturation fields, and they are solved numerically on a large computational grid of super-elements with a characteristic cell size of 200–500 m. The tensor coefficients of the super-element model have been calculated using special procedures of upscaling of absolute and relative phase permeabilities. At the second stage, a local refinement of the super-element model has been constructed for calculating small-scale processes (with a scale of m/day), which take place, for example, during various geological and technical measures aimed at increasing the oil recovery of a reservoir. Then we solve the two-phase flow problem in the selected area of the measure exposure on a detailed three-dimensional grid, which resolves the geological structure of the reservoir, and with a time step sufficient for describing fast-flowing processes. The initial and boundary conditions of the local problem have been formulated on the basis of the super-element solution. To demonstrate the proposed approach, we have provided an example of the two-stage modeling of the development of a layered reservoir with a local refinement of the model during the isolation of a water-saturated high-permeability interlayer. We have shown a good compliance between the locally refined solution of the super-element model.
super-element method, numerical simulation, petroleum reservoir, local refinement, reservoir treatments simulation, two-phased flow, downscaling.
|Russian Foundation for Basic Research
|The study was supported by the Russian Foundation for Basic Research and the Government of the Republic of
Tatarstan (projects nos. 15-41-02698 and 15-41-02699).
PDF file (672 kB)
A. B. Mazo, K. A. Potashev, “Petroleum reservoir simulation using super-element method with local detalization of the solution”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 159, no. 3, Kazan University, Kazan, 2017, 327–339
Citation in format AMSBIB
\by A.~B.~Mazo, K.~A.~Potashev
\paper Petroleum reservoir simulation using super-element method with local detalization of the solution
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\publ Kazan University
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