Multiscale model reduction of fluid flow based on the dual porosity model
Sergei Stepanov, Aleksandr Grigorev, Maria Vasilyeva, Djulustan Nikiforov, Спиридонов Денис Алексеевич · Journal of Physics Conference Series · 2019
Construction of multiscale method for double porosity model is considered. Mathematical modelling of such type of models widely used for describe the flow in fractured porous media. Idea of double porosity model based on the interaction mechanism between fractured and porous continua. Each continuum considered as a separate homogeneous medium which the expressed through filtration equation with additional terms corresponding to the exchange flux. The solution method is based on the use of a generalized multiscale finite element method. The main idea is to build local-domain solutions that can be used to effectively solve the coarse grid.