Young Researchers' Seminar

Viscous fingers and mixing zone growth rate estimates

by Mr Konstantin Kalinin (SPbU)

Europe/Moscow
201 (SPbU Math & CS Dept)

201

SPbU Math & CS Dept

Description

We will consider a system of PDEs that describes miscible displacement in porous media. If the initial and boundary conditions are such that a more viscous fluid displaces a less viscous fluid, their interface is unstable. Any small perturbation leads to viscous fingers. In practice, the following question plays an important role: is it possible to estimate the velocity of the fingers?

Time permitting, we will talk about the applications of these estimates in the optimal injection profile problem.