One-phase flow in porous media with hysteresis

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• 作者：N.D. Botkin ; M. Brokate ; E.G. El Behi-Gornostaeva ; ^{elena.gornostaeva@ma.tum.de" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Hysteresis ; Variational inequalities ; Porous media ; Preisach operator
• 刊名：Physica B: Physics of Condensed Matter
• 出版年：2016
• 出版时间：1 April 2016
• 年：2016
• 卷：486
• 期：Complete
• 页码：183-186
• 全文大小：444 K

文摘

This paper presents a numerical simulation of one phase flow through a porous medium showing a hysteretic relation between the capillary pressure and the saturation of the phase. The flow model used is based on mass conservation principle and Darcy's law. Boundary conditions of Neumann and Signorini type are imposed. The hysteretic relation between the capillary pressure and the saturation is described by a Preisach hysteresis operator. A numerical algorithm for the treatment of the arising system of equations is proposed. Results of numerical simulations are presented.