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Showing 1-20 of 113 results
  1. Construction of an Analytical Solution of the Problem on the Formation of Gas Hydrate in a Porous Mine

    In this paper, we propose the mathematical formulation of the problem on injection of a cold gas into a porous medium accompanied by the formation of...

    N. G. Musakaev, M. K. Khasanov, S. L. Borodin in Journal of Mathematical Sciences
    Article 12 November 2022
  2. Mathematical Modeling of the Gas Hydrate Formation Process in a Porous Reservoir, Taking into Account Nonequilibrium Phase Transition

    Abstract

    Underground geological storage based on gas hydrate is an effective method of storing methane, which ensures its safety for the required...

    N. G. Musakaev, S. L. Borodin, M. K. Khasanov in Lobachevskii Journal of Mathematics
    Article 01 May 2022
  3. On a Problem of Invariant Equilibrium of a Phase Ice-Hydrate Transformation

    Abstract

    This study presents a thermodynamically equilibrium filtration model for the gas-hydrate phase-equilibrium (invariant) and hydrate-thaw zones...

    O. R. Rahimly, Yu. A. Poveshchenko, V. O. Podryga in Mathematical Models and Computer Simulations
    Article 24 April 2024
  4. Mathematical Model of Replacing Methane in Hydrate with Carbon Dioxide When It Is Injected into a Reservoir Saturated with a Mixture of Hydrate, Methane, and Water

    Abstract

    A mathematical model is proposed for the replacement of methane with carbon dioxide in a hydrate contained in a reservoir in thermodynamic...

    Article 01 September 2023
  5. Pressure Pulse Transmission and Reflection from Layer in Porous Medium with Variable Initial Content of Gas Hydrate

    Abstract

    Gas hydrate is formed in a porous medium in the presence of water, a hydrate-forming gas, and suitable pressure and temperature conditions....

    A. A. Gubaidullin, O. Yu. Boldyreva, D. N. Dudko in Lobachevskii Journal of Mathematics
    Article 01 May 2023
  6. Mathematical Modeling of the Gas Hydrate Formation Process in a Zonal Heterogeneous Porous Reservoir

    Abstract

    Mathematical modeling of the gas hydrate formation in a zonal heterogeneous porous reservoir, consisting of high- and low-permeability zones,...

    N. G. Musakaev, S. L. Borodin in Lobachevskii Journal of Mathematics
    Article 01 September 2021
  7. Numerical Study of the Process of Gas Extraction from a Gas Hydrate Reservoir with Inhomogeneous Permeability

    Abstract

    Mathematical modeling of the process of gas extraction from a hydrate-containing reservoir, which is a cylindrical region of a porous medium,...

    N. G. Musakaev, S. L. Borodin in Lobachevskii Journal of Mathematics
    Article 01 May 2023
  8. Mathematical Modeling of the Process of Gas Injection into a Reservoir with the Formation of Gas Hydrate and Melting of Ice

    Abstract

    Based on the methods and equations of the mechanics of multiphase media, a mathematical model of gas injection into a reservoir saturated...

    M. K. Khasanov, N. G. Musakaev in Lobachevskii Journal of Mathematics
    Article 01 September 2021
  9. Dynamics of Sonic Wave under Reflection and Transmission at the Interface of Water and Sand Saturated with Water or Gas Hydrate

    Abstract

    The problem of reflection and refraction of acoustic wave at oblique fall on the interface of water and sand saturated with water or gas...

    E. V. Galiakbarova, G. R. Karimova, G. R. Rafikova in Lobachevskii Journal of Mathematics
    Article 01 May 2023
  10. Reflection and Transmission of Pressure Pulses Through a Gas Hydrate-Saturated Layer in a Porous Medium

    Abstract

    The process of transmission and reflection of elastic waves in a porous medium at the boundaries of a section containing gas hydrate is...

    A. A. Gubaidullin, O. Yu. Boldyreva, D. N. Dudko in Lobachevskii Journal of Mathematics
    Article 01 May 2022
  11. Study of Filtration Processes in a Gas-Hydrate Reservoir Taking into Account Salinity and Solid-Phase Inclusions

    Abstract

    The method of splitting by physical processes is consistently applied to the problems of underground hydromechanics related to gas hydrates,...

    Yu. A. Poveshchenko, P. I. Rahimly, ... S. B. Popov in Mathematical Models and Computer Simulations
    Article 03 November 2022
  12. The Conditions for the Existence of an Extended Region of Gas Hydrate Formation in a Porous Medium

    Abstract

    Mathematical model of the formation of methane hydrate during gas injection into a porous medium saturated with gas and water is presented....

    M. K. Khasanov, N. G. Musakaev in Lobachevskii Journal of Mathematics
    Article 01 July 2020
  13. Methodology for the Numerical Study of the Methane Hydrate Formation During Gas Injection into a Porous Medium

    Abstract

    Mathematical model is proposed that describes the process of pum** gas into a porous medium initially filled with methane and water....

    N. G. Musakaev, S. L. Borodin, A. A. Gubaidullin in Lobachevskii Journal of Mathematics
    Article 01 July 2020
  14. Mathematical Modeling of Gas Hydrate Dissociation in Porous Medium Taking into Account Ice and Salinity

    Abstract

    This work is devoted to the mathematical modeling of the dissociation of gas hydrates in a porous medium. Numerical methods are developed for...

    Yu. A. Poveshchenko, G. I. Kazakevich, ... P. I. Rahimly in Doklady Mathematics
    Article 01 June 2022
  15. Methodology for Calculating the Parameters of the CO\({}_{\mathbf{2}}\)–CH\({}_{\mathbf{4}}\) Replacement Process in Methane Hydrate During the Gas Hydrate Deposits Development

    Abstract

    A method for solving numerically the mathematical model system of equations describing the process of replacing methane with carbon dioxide...

    S. L. Borodin, M. K. Khasanov in Lobachevskii Journal of Mathematics
    Article 01 August 2021
  16. Numerical Simulation of Hydrate Formation on Injection of Cold Gas in a Snow Massif

    Abstract

    The problem on hydrate formation in a snow massif initially saturated with gas with the injection of the same gas is solved. The constructed...

    V. Sh. Shagapov, A. S. Chiglintseva, O. A. Shepelkevich in Mathematical Models and Computer Simulations
    Article 24 September 2019
  17. Numerical Research of the Gas Hydrate Decomposition in a Porous Reservoir with Impermeable Boundaries

    Abstract

    In a one-dimensional approximation, the decomposition of gas hydrate in a porous reservoir saturated in the initial state with methane and...

    N. G. Musakaev, S. L. Borodin in Lobachevskii Journal of Mathematics
    Article 01 July 2020
  18. Completely Conservative Difference Schemes for Fluid Dynamics in a Piezoconductive Medium with Gas Hydrate Inclusions

    Abstract

    The dynamics equations for a two-component fluid in a porous medium with gas hydrate inclusions are approximated on a structurally irregular...

    V. A. Gasilov, Yu. A. Poveshchenko, ... P. I. Rahimly in Computational Mathematics and Mathematical Physics
    Article 01 January 2020
  19. Application of Microwave Oven Plasma Reactors for the Formation of Carbon-Based Nanomaterials

    This paper reviews the literature on the formation of carbon-based nanomaterials using converted domestic microwave oven plasma reactors. The...
    Conference paper 2021
  20. Mathematical Model and Method for Solving the Problem of Non-Isothermal Gas and Liquid Filtration Flow During Dissociation of Gas Hydrates

    Abstract

    The development of a mathematical model of the filtration flow during dissociation of gas hydrates for the two-dimensional case is researched...

    N. G. Musakaev, D. S. Belskikh, S. L. Borodin in Lobachevskii Journal of Mathematics
    Article 01 September 2021
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