Methodology for Calculating the Parameters of Non-isothermal Filtration Considering the CO $${}_{\mathbf{2}}$$ –CH $${}_{\mathbf{4}}$$ Replacement in Methane Hydrate

IF 0.8 Q2 MATHEMATICS
N. G. Musakaev, S. L. Borodin, D. S. Belskikh
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引用次数: 0

Abstract

A mathematical model of non-isothermal filtration of methane, carbon dioxide and water is constructed based on the methods and equations of multiphase media mechanics considering the replacement of methane in the gas hydrate with carbon dioxide. The equations of the mathematical model and the methodology for their numerical solution are presented. The numerical solutions for one-dimensional plane-parallel approximation are constructed for the problem of injecting carbon dioxide into a reservoir initially saturated with methane and its hydrate. Those solutions describe the distributions in the reservoir of pressure, temperature, mass concentrations of gas phase components and saturations of methane and carbon dioxide hydrates.

Abstract Image

考虑甲烷水合物中 CO $${}_{mathbf{2}}$ -CH $${}_{mathbf{4}}$ 置换的非等温过滤参数计算方法
摘要 根据多相介质力学的方法和方程,考虑到用二氧化碳替代天然气水合物中的甲烷,构建了甲烷、二氧化碳和水的非等温过滤数学模型。介绍了数学模型方程及其数值求解方法。针对向初始饱和甲烷及其水合物的储层注入二氧化碳的问题,构建了一维平面平行近似的数值解。这些解描述了储层中的压力、温度、气相成分的质量浓度以及甲烷和二氧化碳水合物的饱和度分布。
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来源期刊
CiteScore
1.50
自引率
42.90%
发文量
127
期刊介绍: Lobachevskii Journal of Mathematics is an international peer reviewed journal published in collaboration with the Russian Academy of Sciences and Kazan Federal University. The journal covers mathematical topics associated with the name of famous Russian mathematician Nikolai Lobachevsky (Lobachevskii). The journal publishes research articles on geometry and topology, algebra, complex analysis, functional analysis, differential equations and mathematical physics, probability theory and stochastic processes, computational mathematics, mathematical modeling, numerical methods and program complexes, computer science, optimal control, and theory of algorithms as well as applied mathematics. The journal welcomes manuscripts from all countries in the English language.
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