Models of Flow through Fractured-Porous Anisotropic Media

A mathematical model of the theory of flow through fractured-porous anisotropic media is considered. A new construction of the cross-flow function which depends on the direction of the action applied, i.e., on the difference between the pressure gradients in blocks and fractures, is given. This specification of the cross-flow function makes it possible to take into account the anisotropy of the seepage properties not only in Darcy's law but also in the continuity equations and gives the mass-transfer law greater physical justification. Variants of the generalization of the Barenblatt-Zheltov-Kochina and Warren-Root models to include the case of arbitrary anisotropy are analyzed for the mathematical model proposed.