Rafikova G.R., Khasanov M.K.
Analysis of methane production intensity during its displacement from a gas hydrate formation
by carbon dioxide. Multiphase Systems. 14 (2019) 3. 149–156 (in Russian).
Analysis of methane production intensity during
its displacement from a gas hydrate formation by carbon dioxide
Rafikova G.R.∗,∗∗, Khasanov M.K.∗
∗Sterlitamak Branch of Bashkir State University, Sterlitamak
∗∗Mavlyutov Institute of Mechanics, Ufa
Abstract
The theoretical model is considered in the one-dimensional approximations and numerical solutions are obtained
for the process of replacing methane with carbon dioxide from a hydrate in a formation saturated with methane
and its hydrate when carbon dioxide is injected into the formation. The process is considered under thermobaric
conditions corresponding to the stability region of methane gas and carbon dioxide and the region of existence of
CO2 in the form of a gaseous phase. The case is considered when the rate of carbon dioxide hydrate formation is
limited by diffusion of carbon dioxide through the formed hydrate layer between the gas mixture stream and methane
hydrate. It is accepted that the hydration substitution process occurs without the release of water from the hydrate.
To describe the mathematical model, the main equations are the mass conservation equations for methane, carbon
dioxide and their hydrates, Darcy’s law for filtration, Fick’s law for diffusive mixing of the gas mixture, state equations
for the gas phase, Dalton’s law, energy equation, diffusion equation for transport CO2 through the hydration layer
at the pore microchannel scale. The dynamics of the mass flow rates of the outgoing carbon dioxide and methane
recovered has been investigated. The influence of the diffusion coefficient, the absolute permeability and the length
of the formation on the intensity of the methane produced as a result of the gas substitution process is analyzed.
Three main stages of the process were identified: displacement of free methane from the reservoir; extraction of
free methane obtained as a result of the beginning of hydrate substitution in the formation; complete conversion of
methane hydrate to carbon dioxide hydrate and complete extraction of methane from the formation. It is determined
how the two main factors relate to each other in terms of the degree of influence on the replacement rate: heat and
mass transfer in the reservoir and the kinetics of the replacement process.
Keywordsreplacement of methane with carbon dioxide from the hydrate,
gas hydrate formation,
mass flow rate,
hydration substitution kinetics,
filtration mass transfer
Article outline
Purpose: The theoretical study of the process of replacing methane with carbon dioxide from the gas hydrate in a formation saturated with methane and its hydrate, when the formation is purged with carbon dioxide.
One of the most well-known and promising methods for the extraction of methane from a gas hydrate formation is the depressive and thermal effects on the formation, the introduction of inhibitors into the formation. The last of the methods considered and poorly studied is the injection of carbon dioxide into the layers saturated with methane and its hydrate. The essence of the method is that carbon dioxide gas hydrate is more stable than methane gas hydrate and carbon dioxide molecules displace methane molecules from the gas hydrate. The advantages of this method are the utilization of greenhouse gas and the preservation of the mechanical strength of the rock. Also, if the decomposition of gas hydrate during depression and heating takes place with the absorption of heat, then in this case the process will occur with a small amount of heat.
Methods: For describing the mathematical model of the displacement of methane from a gas hydrate formation by carbon dioxide, methods and equations of the mechanics of multiphase media were applied. For constructing the mathematical model, we used the basic equations of mass conservation for methane, carbon dioxide and their hydrates, the Darcy law for describing the flow in the reservoir, the Fick law for diffusive mixing of the gas mixture, the equation of state for the gas phase, the Dalton law for determining the pressure of the system, the heat equation for determining changes in the energy released as a result of phase transitions and filtration in the reservoir, the diffusion equation for gas transfer through the gashydrate layer. We have obtained a quasistationary analytical solution for the diffusion equation. The density of mobile carbon dioxide in the hydrate was determined. The numerical implementation of the solution of the basic system of equations is carried out using an explicit finite-difference scheme.
As a result of the study, it was determined that in order to change the mass flow rate of methane produced through the external boundary of the formation over time, three stages can be distinguished:
- At the first stage free methane, which is in the initial state in the pores of the formation, is displaced. This stage is accompanied by a sharp increase in methane consumption at the outlet of the reservoir.
- The second stage is characterized by the displacement of methane obtained as a result of the process of substitution of methane from the composition of the hydrate with carbon dioxide. At this stage, the value of the mass flow rate of methane produced through the external boundary of the formation is approximately stable over time.
- The third stage is characterized by the complete transition of methane hydrate to carbon dioxide hydrate and the complete extraction of methane from the gas hydrate formation, which corresponds to a decrease in the mass flow of methane and an increase in the mass flow of carbon dioxide.
Conclusions: The duration of the second stage of the process increases with a decrease of permeability of the reservoir. The period of the second stage of the process decreases and the third stage increases with a decrease of diffusion coefficient of carbon dioxide transfer through the gas hydrate layer. This events is associated with a decrease of the effect of gas hydrate substitution kinetics and an increase of the effect of filtration transfer in the formation.
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