Modeling of some problems of fluid dynamics containing gas hydrates based on splitting by physical processes
Research and modeling of nonisothermal multiphase filtration of formation fluids in porous medium taking into account the phase transformations of gas hydrates is necessary for the development of technologies for the elaboration of gas hydrate deposits. This work is based on the proposed two-block mathematical model of dissociation of gas hydrates in a porous medium with splitting by physical processes. This model is numerically implemented in the form of an absolutely stable one-dimensional completely conservative difference scheme of the type ImPes (implicit in pressure and explicit in water and hydrate saturations). A series of numerical model calculations showed the effectiveness of the proposed method for solving typical problems of gas hydrate fluid dynamics, including the study of complex dynamics of water and hydrate saturation of the reservoir, both taking into account the adiabatic expansion of the gas in the reservoir space, and without such expansion.
mathematical modeling, filtration, gas hydrates, hydrate thawing, difference scheme
Mathematical modelling in actual problems of science and technics