The paper deals with the global Kondaurov double porosity model describing a non-equilibrium two-phase immiscible flow in fractured-porous reservoirs when non-equilibrium phenomena occur in the matrix blocks, only. In a mathematically rigorous way, we show that the homogenized model can be represented by usual equations of two-phase incompressible immiscible flow, except for the addition of two source terms calculated by a solution to a local problem being a boundary value problem for a non-equilibrium imbibition equation given in terms of the real saturation and a non-equilibrium parameter.
Accepted:
Published online:
Andrey Konyukhov 1, 2; Leonid Pankratov 2, 3
@article{CRMECA_2016__344_7_510_0, author = {Andrey Konyukhov and Leonid Pankratov}, title = {New non-equilibrium matrix imbibition equation for double porosity model}, journal = {Comptes Rendus. M\'ecanique}, pages = {510--520}, publisher = {Elsevier}, volume = {344}, number = {7}, year = {2016}, doi = {10.1016/j.crme.2016.02.011}, language = {en}, }
Andrey Konyukhov; Leonid Pankratov. New non-equilibrium matrix imbibition equation for double porosity model. Comptes Rendus. Mécanique, Volume 344 (2016) no. 7, pp. 510-520. doi : 10.1016/j.crme.2016.02.011. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2016.02.011/
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