Investigation of time-dependent two-dimensional displacement in a porous medium in the self-similar formulation of the problem
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Two-dimensional flow through a porous medium when a gas is injected into a permeable aquifer of infinite extension is investigated. The self-similar asymptotic solutions which describe the early stage of the time-dependent two-dimensional process of gas spreading along the caprock over the aquifer are constructed. The asymptotics are constructed on the assumption of the considerable aquifer thickness when the processes in the neighborhood of the aquifer base have no effect on flow along the caprock. Two-dimensional wave patterns describing the gas saturation distribution are investigated by means of the direct numerical simulation. The dimensions of the gas accumulation region are estimated as functions of the similarity parameters.
Keywordsflow through a porous medium gas injection self-similar solution the Buckley–Leverett problem fractional-flow theory
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- 1.G.I. Barenblatt, V.M. Entov, and V.M. Ryzhik, Motion of Liquids and Gases in Natural Formations (Nedra, Moscow, 1984) [in Russian].Google Scholar
- 9.A.A. Afanasyev, O.E. Melnik, and Yu.D. Tsvetkova, “Simulation of Flow through a Porous Medium for Underground CO2 Storagewith the Use of Highly Productive Computational Systems,” Vychisl. Mekhanika Sploshnykh Sred 6, No. 4, 420–429 (2013).Google Scholar
- 11.A.N. Brooks and A.T. Corey, Hydraulic Properties of Porous Media. Hydrology Papers 3 (Colorado: State Univ., 1964).Google Scholar