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Adaptive time-splitting scheme for two-phase flow in heterog

已有 517 次阅读 2018-1-14 17:56 |个人分类:AGER期刊|系统分类:论文交流| 期刊, 地球科学

Adaptive time-splitting scheme for two-phase flow in heterogeneous porous media

Mohamed F. El-Amin, Jisheng Kou, Shuyu Sun, Amgad Salama

(Published: 2017-12-25)

Corresponding Author and Email: Mohamed F. El-Amin, mohamed.elamin.kaust@gamil.com

Citation: El-Amin, M., Kou, J., Sun, S., et al. Adaptive time-splitting scheme for two-phase flow in heterogeneous porous media. Adv. Geo-energ. Res. 2017, 1(3): 182-189, doi: 10.26804/ager.2017.03.05.

Article Type: Original article

Abstract:
In the present paper, an adaptive time-splitting scheme is introduced to investigate the problem of two-phase flow in heterogeneous porous media. The pressure and saturation equations are coupled by the capillary pressure which is linearized in terms of saturation. An IMplicit Pressure Explicit Saturation (IMPES) scheme is used to solve the problem under consideration. We use the time schemes for the pressure and saturation equations. The external time interval is divided into two levels, the first level is for the pressure, the second one is for the saturation. This method can reduce the computational cost arisen from the implicit solution of the pressure equation and the rapid changes in saturation. The time-step size for saturation equation is adaptive under computing and satisfying the Courant–Friedrichs–Lewy (CFL<1) condition. In order to show the well performance of the suggested scheme, we introduce a numerical example of a highly heterogeneous porous medium. The adaptive time step-size is shown in graphs as well as the water saturation is shown in contours.


Keywords: Time-splitting, IMPES, two-phase flow, porous media, reservoir simulation

Advances in Geo-Energy Research,论文网址:http://www.astp-agr.com/index.php/Index/Index/detail?id=33

Adaptive time-splitting scheme for two-phase flow in heterogeneous porous media.pdf



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