{"product_id":"non-equilibrium-two-phase-flow-in-porous-media-homogenization-and-numerical-simulation-von-pankratov-leonid-konyukhov-andrey-voloshin-anton","title":"Non-equilibrium two-phase flow in porous media","description":"\u003cp\u003eThe book is devoted to the study of a non-equilibrium two-phase flow through a ¿-periodic double porosity media. The mesoscopic model consists of equations derived from the mass conservation laws along with a generalized Darcy law in the framework of the non-equilibrium Kondaurov flow model. The mobility and capillary pressure functions for the matrix part are the functions of the saturation and the non-equilibrium parameter. The fractured medium consists of periodically repeating blocks and fractures. Using the method of two-scale asymptotic expansions we derive the macroscopic model which is written in terms of the homogenized phase pressures, saturation, and the non-equilibrium parameter. It is shown that the homogenized model can be represented as usual equations of two-phase immiscible incompressible flow, except for the addition of two source terms calculated by a solution to a local problem in the matrix block being a boundary value problem for a non-equilibrium imbibition equation given in terms of the real saturation and a non-equilibrium parameter. The results of numerical simulation of the incompressible non-equilibrium two-phase flow are also presented.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783659884412\"\u003e\u003ch3\u003eHomogenization and numerical simulation\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783659884412","offer_id":39449999147101,"sku":"9783659884412","price":39.9,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/d46b4d73-b1e4-4eb0-adca-3b34d9aa38be.jpg?v=1773382434","url":"https:\/\/shop.autorenwelt.de\/products\/non-equilibrium-two-phase-flow-in-porous-media-homogenization-and-numerical-simulation-von-pankratov-leonid-konyukhov-andrey-voloshin-anton","provider":"Autorenwelt Shop","version":"1.0","type":"link"}