Authors: Rätz, Andreas
Schweizer, Ben
Title: Hysteresis models and gravity fingering in porous media
Language (ISO): en
Abstract: We study flow problems in unsaturated porous media. Our main interest is the gravity driven penetration of a dry material, a situation in which fingering effects can be observed experimentally and numerically. The flow is described by either a Richards or a two-phase model. The important modelling aspect regards the capillary pressure relation which can include static hysteresis and dynamic corrections. We report on analytical existence and instability results for the corresponding models and present numerical calculations. We show that fingering effects can be observed in various models and discuss the importance of the static hysteresis term.
Subject Headings: gravity fingering instability
hysteresis
two-phase flow
URI: http://hdl.handle.net/2003/29390
http://dx.doi.org/10.17877/DE290R-3388
Issue Date: 2012-03-16
Appears in Collections:Preprints der Fakultät für Mathematik
Schweizer, Ben Prof. Dr.

Files in This Item:
File Description SizeFormat 
mathematicalPreprint-2012-02.pdf1.36 MBAdobe PDFView/Open


This item is protected by original copyright



All resources in the repository are protected by copyright.