Abstract
This report focuses on technology of supercomputer simulation of nonlinear processes in the cores, extracted from oil and gas production wells in order to study the properties of hydrocarbon reservoirs. One of modern approaches to solving these kind problems is to create multiphysical mathematical model of core for its study by computer methods. This approach minimizes the number of natural experiments and predicts the evolution of layers properties. Also it allows to predict oil and gas recovery of layers for a long time period. However, implementation of this technology called “virtual core” requires the following: 1) to create multiparametrical model of core as close as possible to the reality; 2) to include the multicomponent and multiphase composition and complex real geometry of core in consideration; 3) to develop a computational framework for modeling the seepage of multicomponent liquid and gas mixtures through the core; 4) to carry out large-scale calibration calculations. In this paper, an attempt to create such a multifactor mathematical model and computational foundations for its computing and supercomputing analysis is made.
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References
A. A. Berezina, “Applicability of a smart field concept in response to the modern problems of oil and gas producing industry,” Probl. Ekon. Upravl. Neftegaz. Kompleksom 2, 42–46 (2015).
A. N. Dmitrievsky and N. A. Eremin, “Modern scientific-technical revolution (STR) and the shift of paradigm of hydrocarbon resources development,” Probl. Ekon. Upravl. Neftegaz. Kompleksom 6, 10–16 (2015).
M. A. Andersen, B. Duncan, and R. McLin, “Core truth in formation evaluation,” Oilfield Rev. 25 (2), 16–25 (2013).
B. B. Mandelbrot, The Fractal Geometry of Nature (W. H. Freeman, New York, 1982).
T. G. Elizarova, Quasi-Gas Dynamic Equations (Springer, Berlin, Heidelberg, 2009).
D. Frenkel and B. Smit, Understanding Molecular Simulation. From Algorithm to Applications (Academic, New York, 2002).
Yu. N. Karamzin, T. A. Kudryashova, V. O. Podryga, and S. V. Polyakov, “Multiscale simulation of nonlinear processes in technical microsystems,” Mat. Model. 27 (7), 65–74 (2015).
V. O. Podryga, S. V. Polyakov, and D. V. Puzyrkov, “Supercomputer molecular modeling of thermodynamic equilibrium in gas–metal microsystems,” Vychisl. Metody Program. 16, 123–138 (2015).
M. Mohsen and P. R. King, “Percolation approach in underground reservoir modeling,” in Water Resources Management and Modeling, Ed. by P. Nayak (InTech, Croatia, 2012), Vol. 12, pp. 263–287.
M. N. Voronyuk, “Application of supercomputers to mathematical modeling of filtration processes in percolation lattice,” Izv. Vyssh. Uchebn. Zaved., Priborostroen. 56 (5), 52–57 (2013).
G. A. Bird, Molecular Gas Dynamics and the Direct Simulation ofGas Flows (Clarendon, Oxford, 1994).
J. W. Buddenberg and C. R. Wilke, “Calculation of gas mixture viscosities,” Ind. Eng. Chem. 41, 1345–1347 (1949).
V. O. Podryga, “Determination of real gas macroparameters by molecular dynamics,” Mat. Model. 27 (7), 80–90 (2015).
V. O. Podryga and S. V. Polyakov, “Parallel implementation of multiscale approach to the numerical study of gas microflows,” Vychisl. Metody Program. 17, 147–165 (2016).
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Submitted by A. M. Elizarov
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Podryga, V.O., Polyakov, S.V. & Puzyrkov, D.V. Supercomputer simulation of nonlinear problems of fluid dynamics in cores. Lobachevskii J Math 38, 958–963 (2017). https://doi.org/10.1134/S1995080217050274
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DOI: https://doi.org/10.1134/S1995080217050274