A Generalized Model of Filtration in a Fractured-Porous Medium with Low-Permeable Inclusions and Its Possible Applications

—This work generalizes the classical mathematical model of fluid and gas filtration in a fractured-porous medium. It results in a generalized equation that takes into account, unlike the classical model, the effects of direct filtration of the energy (or heat) carrier in low-permeable inclusions (blocks). The generalized model is also suitable for describing fluid and gas filtration in fractured-nanoporous media, when Darcy’s law is inapplicable. The model is used to study the degradation process of low-permeable inclusions saturated with gas or oil (e.g., shale gas or oil), which simultaneously improves the understanding of the properties of the solution to the proposed equation. The work presents obtained curves of pressure distribution in inclusions and the surrounding matrix at different points in time, as well as curves of gas flow rate in the discharge zone; gives their comparative analysis with respect to the classical models.