3 papers
math.AP2024
Propagating terrace in a two-tubes model of gravitational fingering
Yulia Petrova, Sergey Tikhomirov, Yalchin Efendiev
We study a semi-discrete model for the two-dimensional incompressible porous medium (IPM) equation describing gravitational fingering phenomenon. The model consists of a system of…
physics.flu-dyn2023
Velocity of viscous fingers in miscible displacement: Intermediate concentration
Fedor Bakharev, Aleksandr Enin, Sergey Matveenko +4
We investigate one-phase flow in porous medium corresponding to a miscible displacement process in which the viscosity of the injected fluid is smaller than the viscosity in the re…
physics.flu-dyn2023
The non-monotonicity of growth rate of viscous fingers in heterogeneous porous media
I. A. Starkov, D. A. Pavlov, S. B. Tikhomirov +1
The paper presents a stochastic analysis of the growth rate of viscous fingers in miscible displacement in a heterogeneous porous medium. The statistical parameters characterizing…