A Numerical Study of Two-Phase Flow Models with Dynamic Capillary Pressure and Hysteresis
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- 作者：Hong Zhang ; Paul Andries Zegeling
- 关键词：Castillo–Grone’s mimetic operators ; Saturation overshoot ; Pressure overshoot ; Dynamic capillary pressure ; Play ; type hysteresis
- 刊名：Transport in Porous Media
- 出版年：2017
- 出版时间：January 2017
- 年：2017
- 卷：116
- 期：2
- 页码：825-846
- 全文大小：1004KB
- 刊物类别：Earth and Environmental Science
- 刊物主题：Geotechnical Engineering & Applied Earth Sciences; Industrial Chemistry/Chemical Engineering; Hydrology/Water Resources; Civil Engineering; Hydrogeology; Classical and Continuum Physics;
- 出版者：Springer Netherlands
- ISSN：1573-1634
- 卷排序：116
文摘
Saturation overshoot and pressure overshoot are studied by incorporating dynamic capillary pressure, capillary pressure hysteresis and hysteretic dynamic coefficient with a traditional fractional flow equation in one-dimensional space. Using the method of lines, the discretizations are constructed by applying the Castillo–Grone’s mimetic operators in the space direction and a semi-implicit integrator in the time direction. Convergence tests and conservation properties of the schemes are presented. Computed profiles capture both the saturation overshoot and pressure overshoot phenomena. Comparisons between numerical results and experiments illustrate the effectiveness and different features of the models.