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Matem. Mod., 2018, Volume 30, Number 6, Pages 95–116 (Mi mm3978)  

Problems of joint filtration in melted zone and piezoconductive medium with gas hydrate inclusions

P. I. Rahimlya, Y. A. Poveshchenkobc, V. O. Podrygab, O. R. Rahimlya, I. V. Ritusb

a Moscow Institute of Physics and Technology (State University)
b Keldysh Institute of Applied Mathematics of RAS
c National Research Nuclear University MEPhI

Abstract: In the paper the thermodynamically equilibrium joint discrete model of a two-component three-phase (water, methane, hydrate) filtration fluid dynamics and two-phase processes in a melted zone with absence of gas hydrates is considered , for which the splitting by physical processes is performed. The aim of the study is to construct a joint family of two-layer fully conservative difference schemes of the support operators method with space-time temporal scales in accordance with the proposed algorithm for splitting the equilibrium model in terms of physical processes, both in the melted zone and in the gas hydrate inclusions medium. The direct unsplit utilization of the studying g system for the purposes of determining the dynamics of variables and constructing the implicit difference scheme required for calculations of filtering processes with large steps in time is difficult.

Keywords: gas hydrates, filtration, melted zone, support operators, completely conservative difference schemes.

Funding Agency Grant Number
Russian Science Foundation 17-71-20118


Full text: PDF file (522 kB)
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Received: 22.02.2018

Citation: P. I. Rahimly, Y. A. Poveshchenko, V. O. Podryga, O. R. Rahimly, I. V. Ritus, “Problems of joint filtration in melted zone and piezoconductive medium with gas hydrate inclusions”, Matem. Mod., 30:6 (2018), 95–116

Citation in format AMSBIB
\Bibitem{RahPovPod18}
\by P.~I.~Rahimly, Y.~A.~Poveshchenko, V.~O.~Podryga, O.~R.~Rahimly, I.~V.~Ritus
\paper Problems of joint filtration in melted zone and piezoconductive medium with gas hydrate inclusions
\jour Matem. Mod.
\yr 2018
\vol 30
\issue 6
\pages 95--116
\mathnet{http://mi.mathnet.ru/mm3978}


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