Archive of issues 2012-2015
Bibliographic description:
TWO-PHASE FILTERING IN A FRACTURED POROUS MEDIUM // BSU Bulletin. Mathematics, Informatics. - 2019. №2. . - С. 104-115.
Title:
TWO-PHASE FILTERING IN A FRACTURED POROUS MEDIUM
Financing:
Codes:
Annotation:
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.
Keywords:
porous volume; anisotropic medium; two-phase filtering; deformation; elasticity theory; iterative differential technology; arithmetic model.
List of references:
Chen Shikuo, Yang Tianhong, Wei Chenhui. Displacement Mechanism of the Two-Phase Flow Model for Water and Gas Based on Adsorption and Desorption in Coal Seams. Materials of Int. Symposium on Multi-field Coupling Theory of Rock and Soil Media and Its Applications. Chengdu City, 2010. Pp. 597–603.
Van Genuchten M. Th. A Closed-Form Equation for Predicting the Hydraulic Conductivity of Unsaturated Soils. Soil Sci. Soc. Am. J. 1980. V. 44. Pp. 892–898.
Schaap M. G., van Genuchten M. Th. A Modified Mualem–Van Genuchten For- mulation for Improved Description of the Hydraulic Conductivity Near Saturation. Va- dose Zone J. 2006. V. 5. Pp. 27–34.
Bubenchikov A. M., Tsydypov S. G. Postroenie matematicheskoi modeli dvukhfaznoi filtratsii v anizotropnykh sredakh [Construction of an Arithmetic Model of Two-Phase Filtering in Anisotropic Media]. Geometriya mnogoobrazii i ee priloz- heniya. Ulan-Ude: Buryat State University Publ., 2014. Pp. 75–81.
Khan Kh. Teoriya uprugosti. Osnovy lineinoi teorii i ee primeneniya [The The- ory of Elasticity. Fundamentals of Linear Theory and Its Applications]. Moscow: Mir Publ., 1988. 344 p.
Van Genuchten M. Th. A Closed-Form Equation for Predicting the Hydraulic Conductivity of Unsaturated Soils. Soil Sci. Soc. Am. J. 1980. V. 44. Pp. 892–898.
Schaap M. G., van Genuchten M. Th. A Modified Mualem–Van Genuchten For- mulation for Improved Description of the Hydraulic Conductivity Near Saturation. Va- dose Zone J. 2006. V. 5. Pp. 27–34.
Bubenchikov A. M., Tsydypov S. G. Postroenie matematicheskoi modeli dvukhfaznoi filtratsii v anizotropnykh sredakh [Construction of an Arithmetic Model of Two-Phase Filtering in Anisotropic Media]. Geometriya mnogoobrazii i ee priloz- heniya. Ulan-Ude: Buryat State University Publ., 2014. Pp. 75–81.
Khan Kh. Teoriya uprugosti. Osnovy lineinoi teorii i ee primeneniya [The The- ory of Elasticity. Fundamentals of Linear Theory and Its Applications]. Moscow: Mir Publ., 1988. 344 p.
Article.pdf