Published 4 issues per year
ISSN Print: 2151-4798
ISSN Online: 2151-562X
Indexed in
APPLICATIONS, THEORETICAL ANALYSIS, NUMERICAL METHOD, AND MECHANICAL MODEL OF THE POLYMER FLOODING IN POROUS MEDIA
ABSTRACT
Applications, theoretical analysis, and numerical methods are introduced for the simulation of mechanical models of the flow in porous media of polymer flooding in this paper. Considering petroleum geology, geochemistry, computational permeation fluid mechanics, and computer technology, we state the models of seepage mechanics and put forward a sequence of implicit upwind difference iteration schemes based on refined fractional steps of the upstream. This scheme can compute the pressure, the saturation, and the concentrations of different chemical components. A type of software applied in major industries has been completed and carried out in numerical analysis and simulation of oil extraction in the Daqing Oil Field and Shengli Oil Field, which gives rise to huge economic benefit and social benefit. This software has the high-order accuracy in simulation and other characteristics as follows. A spatial step can be taken by 10 meters, and the number of nodes is up to about 100,000. Precise analysis is stated for a simplified mathematical model of this type and it provides a powerful tool to solve the international famous problem.
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Yuan Yirang, Li Changfeng, Song Huailing, Mixed finite volume element-upwind mixed volume element of compressible two-phase displacement and its numerical analysis, Journal of Computational and Applied Mathematics, 370, 2020. Crossref