Abstract:
A method for determining relative permeabilities from data on unsteady filtration is proposed based on analytical solution of the inverse problem of filtration in the Buckley–Leverett approximation (Johnson–Bossler–Naumann method), verification of the results by numerical solution of the direct problem, and developing recommendations for changing the filtration conditions in subsequent experiments. It is shown that to improve the agreement between natural phase permeabilities and those obtained under laboratory conditions, it is advisable to combine physical and numerical experiments.
Keywords:
hydrodynamics of a porous medium, multiphase flow, computer modeling.
Citation:
D. M. Orlov, A. E. Ryzhov, T. A. Perunova, “Method for determining relative permeabilities from data on unsteady filtration by combined physical and computer modeling”, Prikl. Mekh. Tekh. Fiz., 54:5 (2013), 119–128; J. Appl. Mech. Tech. Phys., 54:5 (2013), 789–797
\Bibitem{OrlRyzPer13}
\by D.~M.~Orlov, A.~E.~Ryzhov, T.~A.~Perunova
\paper Method for determining relative permeabilities from data on unsteady filtration by combined physical and computer modeling
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2013
\vol 54
\issue 5
\pages 119--128
\mathnet{http://mi.mathnet.ru/pmtf1144}
\elib{https://elibrary.ru/item.asp?id=20653898}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2013
\vol 54
\issue 5
\pages 789--797
\crossref{https://doi.org/10.1134/S002189441305012X}
Linking options:
https://www.mathnet.ru/eng/pmtf1144
https://www.mathnet.ru/eng/pmtf/v54/i5/p119
This publication is cited in the following 2 articles:
Mikhail A. Zagorovskiy, Sergei V. Stepanov, Alexandr B. Shabarov, “The method of calculation of relative phase permeability functions based on the empirical interfacial interaction function”, TSU Herald. Phys Math Model. Oil, Gas, Energy, 9:2 (2023), 59
Anatoliy V. Stepanov, Irina A. Zubareva, Evgeniy R. Volgin, “Hydrodynamic modeling of laboratory experiments related to oil displacement with thermopolymer solution”, TSU Herald. Phys Math Model. Oil, Gas, Energy, 8:2 (2022), 77