BSU bulletin. Mathematics, Informatics
TWO-PHASE FILTERING IN A FRACTURED POROUS MEDIUM // BSU bulletin. Mathematics, Informatics. - 2019. №2. . - С. 104-115.
TWO-PHASE FILTERING IN A FRACTURED POROUS MEDIUM
There are two main problems in describing two-phase filtration flows: the construc- tion of physical processes model and the complexity of accounting for the processes of gas- and liquid-phase filtration. The article presents a universal computational technology that implements an arithmetical model of two-phase filtering of the processes of gas and fluid filtration in a fractured porous medium with considera- tion of the horizontal seam deformation. The Van Genuchten model for fluid and methane movement in coal seams is used as a basic model. A model of linear elastic deformation is constructed for accounting the influence of deformations. The uni- versality of the obtained computing technology allows us to generalize the arith- metical model further. This technology takes into account the effect of water satura- tion on the elastic parameters, as well as the appearance of new fractures in the po- rous framework. The used differential scheme allows solving problems in an ex- tremely wide range of changes in water saturation.
porous volume; anisotropic medium; two-phase filtering; deformation; elasticity theory; iterative differential technology; arithmetic model.
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