most recent 30 from http://mathoverflow.net 2013-05-19T08:51:30Z http://mathoverflow.net/feeds/question/69785 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/69785/a-moving-boundary-in-rock-mechanics Reza 2011-07-08T11:13:53Z 2013-05-15T10:42:22Z

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

http://mathoverflow.net/questions/69785/a-moving-boundary-in-rock-mechanics/130692#130692 Rafa 2013-05-15T10:42:22Z 2013-05-15T10:42:22Z

<p>Some "quick" references concerning incompressible porous flow:</p> <p>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.</p> <p>2) For the numerics: “A note on the interface dynamics for convection in porous media” (D. Córdoba, F. Gancedo &amp; R. Orive), Physica D 237 (2008), 1488-1497.</p> <p>3) More theory: Steady-state fingering patterns for a periodic Muskat problem (Mats Ehrnstrom, Joachim Escher, Bogdan-Vasile Matioc) Preprint arXiv:1303.6724</p>