Труды Института механики им. Р.Р. Мавлютова
Электронный научный журнал | Electronic Scientific Journal
Proceedings of the Mavlyutov Institute of Mechanics
The problem of injecting a hydrate-forming gas into a snow massif in the initial state saturated with the same gas are solved. Self-similar solutions describing the temperature and pressure fields, the distribution of snow, water, hydrate and gas saturation in the massif are constructed. It is shown that when forming a hydrate, depending on the initial thermobaric state of the ice-gas system, as well as the intensity of gas injection, it is possible to distinguish various characteristic zones in the filtration region that differ in their structure and length. It has been established that with an increase in the gas injection pressure and a decrease in the initial snow-saturation of the massif, the volume formation zone of the hydrate increases.
The mathematical model of the process of gas injection into a snow massif saturated in the initial state with the same gas, accompanied by the formation of a hydrate is constructed. Self-similar solutions are obtained that describe the distributions of temperature, pressure, and also the saturation of snow, water, hydrate, and gas in the massif. It is shown that the formation of a hydrate, depending on the initial thermobaric state of the ice-gas system, as well as the intensity of gas injection, can separating various characteristic zones in the filtration region that differ in their structure and extent: near, where gas and hydrate are, intermediate , in which gas, ice (or water) and hydrate are in a state of phase equilibrium, and distant, filled with gas and ice. In order to obtain physically consistent solutions, i.e. in the case of large values pressure, it may be that the temperature in the formation or massif can be higher than the melting point of ice, a theoretical model with three moving interphase boundaries. Between the distant and intermediate zone, where the transition of ice and gas to the hydrate begins, between the intermediate zones corresponding to the melting point of ice at which the formation of the hydrate from ice ends and the formation of hydrate begins from the water and between the near and intermediate zone on which the process ends hydrate formation from water and gas. According to numerical calculations, it is established that with increasing gas injection pressure and a decrease in the initial snow-saturation of the massif, the extent of the hydrate's volume formation zone increases.