Abstract
The article describes a mathematical model of pumping of heated liquid carbon dioxide into a reservoir of finite extent, the pores of which in the initial state contain methane and methane gas hydrate. This model takes into account the existence in the reservoir of three characteristic regions. We call the first region “near”, the second “intermediate”, and the third “far”. According to the problem statement, the first region contains liquid CO2 and hydrate, the second region is saturated with methane and water, the third contains methane and hydrate. The main features of mathematical models that provide a consistent description of the considered processes are investigated. It was found that at sufficiently high injection pressures and low pressures at the right reservoir boundary, the boundary of carbon dioxide hydrate formation can come up with the boundary of methane gas hydrate decomposition. It is also shown that at sufficiently low values of pressure of injection of carbon dioxide and pressure at the right boundary of the reservoir, the pressure at the boundary of hydrate formation of carbon dioxide drops below the boiling pressure of carbon dioxide. In this case, for a consistent description of the considered processes, it is necessary to correct the mathematical model in order to take into account the boiling of carbon dioxide. Maps of possible solutions have been built, which show in what ranges of parameters one or another mathematical model is consistent.
Highlights
The researchers’ attention is focused on the study of the properties and characteristics of hydrate production in connection with virtually untouched deposits [1,2,3]
The main features of mathematical models are formulated, which provide a consistent of the process of injection of liquid carbon dioxide into a gas hydrate reservoir
The dependences of the phase transition boundaries determine the rate of dissociation of CH4 gas hydrate and the formation of CO2 gas hydrate, as well coordinates that determine the rate of dissociation of CH4 gas hydrate and the formation of СО2 gas as the pressure and temperature values at these boundaries on the pressure of carbon dioxide injected, hydrate, as well as the pressure and temperature values at these boundaries on the pressure of carbon as well as the permeability and initial pressure of the reservoir, were obtained
Summary
The researchers’ attention is focused on the study of the properties and characteristics of hydrate production in connection with virtually untouched deposits [1,2,3]. The main purpose of the presented work is to study the main features of mathematical models that provide a consistent description of the considered processes This is due to the lack of a clear understanding of even the qualitative features of the behavior of the system when injecting carbon dioxide into an extended gas hydrate reservoir. Due to the formation and decomposition of gas hydrates, boiling of carbon dioxide, as well as thermal and hydrodynamic effects on the reservoir, the pressure and temperature of the system can change significantly It is unknown in advance what phase transformations will occur, nor their nature. In such cases, a detailed numerical study of the considered processes is possible only after the consistent mathematical models will be constructed for describing the processes and identifying the limits of applicability of these models. The results obtained can be used to create software for geological and hydrodynamic modeling of the development of gas hydrate deposits by the injection of carbon dioxide, when planning and carrying out a complex of geological and technological measures at gas hydrate deposits, to select the most effective strategy for gas recovery
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