Abstract
We investigate flow problems in unsaturated porous media with hysteresis effects in the capillary pressure relation. The model expands the Richards equation, gravity is included and the space dimension is arbitrary. The hysteresis model has been suggested by experimentalists, static hysteresis is incorporated with a play-type model and additional dynamic effects are included. We propose a Galerkin scheme for these equations, show the convergence of the corresponding approximate solutions and the existence of weak solutions to the original problem. We include numerical results that show the effect of gravity driven fingering in porous media.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
