Physics-preserving algorithms for flow and transport in porous media

发布日期:2019-06-27点击数:

报告人:陈黄鑫(厦门大学)


日  期: 2019年74


时  间: 上午10:30


地  点: 理科楼 LA106


摘  要:  Simulation of flow and transport in porous media has wide applications, which include in particular the management of existing petroleum fields and the development of new oil and gas reservoirs. In this talk we will introduce a new efficient IMplicit Pressure Explicit Saturation (IMPES) scheme for the simulation of incompressible and immiscible two-phase flow in heterogeneous porous media with capillary pressure. The new algorithm is locally mass conservative for both phases and also deserves another merit that the total velocity is continuous in the normal direction. Moreover, the new scheme is unbiased with regard to the two phases and the saturations of both phases are bounds-preserving if the time step size is smaller than a certain value. We will also discuss the application of the idea of the new algorithm to develop the fully mass-conservative scheme for the multicomponent compressible flow in porous media. Some interesting examples will be shown to demonstrate the efficiency of the new algorithms.


报告人简介陈黄鑫博士,厦门大学数学科学学院副教授,主要研究方向有自适应有限元方法,多重网格方法和间断伽辽金方法等,主持国家自然科学基金面上项目等项目多项,在 SIAM J. Numer, Anal., SIAM J. Sci. Comput., Math. Comp., Numer. Math., J. Comp. Phys. 等杂志上发表文章二十余篇, 详情请见http://math-faculty.xmu.edu.cn/display.aspx?tid=108.


学院联系人:王 坤


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重庆大学数学与统计学院的前身是始建于1929年的重庆大学理学院和1937年建立的重庆大学商学院,理学院是重庆大学最早设立的三个学院之一,首任院长为数学家何鲁先生。