Mathematical Model of Carbon Dioxide Injection into a Porous Reservoir Saturated with Methane and Its Gas Hydrate
Abstract
:1. Introduction
2. Mathematical Model
2.1. Problem Statement
2.2. Description of the CH4-CO2 Replacement Kinetics in the Hydrate
3. Calculation Results
4. Conclusions
Author Contributions
Funding
Conflicts of Interest
References
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Variables | Symbol | Value | Unit |
---|---|---|---|
Porosity | m | 0.1 | - |
Initial hydrate saturation | Sh(mt)0 | 0.2 | - |
Reservoir length | L | 10 | m |
Injection temperature | Te | 273 | K |
Injection pressure | pe | 3.4 | MPa |
Specific volumetric heat capacity | ρC | 2.5∙106 | J/(K∙m3) |
System thermal conductivity coefficient | λ | 2 | W/(m∙K) |
Mass concentrations of carbon dioxide in hydrate | G(dc) | 0.28 | - |
Mass concentrations of methane in hydrate | G(mt) | 0.12 | - |
Gas constant of methane | R(mt) | 520 | J/(kg∙K) |
Gas constant of carbon dioxide | R(dc) | 189 | J/(kg∙K) |
Density of carbon dioxide hydrate | ρh(dc) | 1115 | kg/m3 |
Density of methane hydrate | ρh(mt) | 910 | kg/m3 |
Dynamic viscosity of carbon dioxide | µg(dc) | 1.5·10−5 | Pa∙s |
Dynamic viscosity of methane | µg(mt) | 1.12·10−5 | Pa∙s |
Heat of the formation of CO2 hydrate | lh(dc) | 4.8·105 | J/kg |
Heat of the formation of methane hydrate | lh(mt) | 4.37·105 | J/kg |
Specific heat capacity of CO2 | cg(dc) | 731 | J/(kg∙K) |
Specific heat capacity of methane | cg(mt) | 1560 | J/(kg∙K) |
Diffusion mixing coefficient of the components of gas mixture | Dg | 10−5 | m2/s |
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Khasanov, M.K.; Rafikova, G.R.; Musakaev, N.G. Mathematical Model of Carbon Dioxide Injection into a Porous Reservoir Saturated with Methane and Its Gas Hydrate. Energies 2020, 13, 440. https://doi.org/10.3390/en13020440
Khasanov MK, Rafikova GR, Musakaev NG. Mathematical Model of Carbon Dioxide Injection into a Porous Reservoir Saturated with Methane and Its Gas Hydrate. Energies. 2020; 13(2):440. https://doi.org/10.3390/en13020440
Chicago/Turabian StyleKhasanov, Marat K., Guzal R. Rafikova, and Nail G. Musakaev. 2020. "Mathematical Model of Carbon Dioxide Injection into a Porous Reservoir Saturated with Methane and Its Gas Hydrate" Energies 13, no. 2: 440. https://doi.org/10.3390/en13020440