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

Advances in Geo-Energy Research

article

Mohamed F. El-Amin¹  Jisheng Kou²  Shuyu Sun³  Amgad Salama⁴ 

[1] College of Engineering, Effat University;School of Mathematics and Statistics, Hubei Engineering University;Computational Transport Phenomena Laboratory (CTPL), Division of Physical Sciences and Engineering (PSE), King AbdullahUniversity of Science and Technology (KAUST);Produced Water Treatment Laboratory, Faculty of Engineering, University of Regina

关键词: Time-splitting;    IMPES;    two-phase flow;    porous media;    reservoir simulation;   

DOI  :  10.26804/ager.2017.03.05

来源: Yandy Scientific Press

【 摘 要 】

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 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.

【 授权许可】

Unknown