5
$\begingroup$

I'm concern a moving boundary problem in rock mechanics. We consider a problem of unsaturated flow of an in-compressible fluid in a porous medium(rock) like D. Moreover suppose that support of a measure, as the fluid source, is located in D close to the boundary.

I am interested in what happen when the saturated part meet the boundary of D and how we can describe the moving boundary of saturated part in a desired time t.

I really appreciate if you introduce me some papers(theory or numerical approach.)

$\endgroup$

1 Answer 1

1
$\begingroup$

Some "quick" references concerning incompressible porous flow:

1) For the theory: "The confined Muskat problem: differences with the deep water regime" (D. Córdoba, R. Granero and R. Orive). Preprint arXiv:1209.1575.

2) For the numerics: “A note on the interface dynamics for convection in porous media” (D. Córdoba, F. Gancedo & R. Orive), Physica D 237 (2008), 1488-1497.

3) More theory: Steady-state fingering patterns for a periodic Muskat problem (Mats Ehrnstrom, Joachim Escher, Bogdan-Vasile Matioc) Preprint arXiv:1303.6724

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.