| 低渗透多孔介质非达西渗流动边界界面追踪 |
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| 引用本文： | 刘文超,姚军,王建忠. 低渗透多孔介质非达西渗流动边界界面追踪[J]. 计算物理, 2012, 29(6): 823-827 |
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| 作者姓名： | 刘文超 姚军 王建忠 |
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| 作者单位： | 中国石油大学(华东)石油工程学院, 山东 青岛 266580 |
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| 基金项目： | 国家重点基础研究发展计划("973"计划)，高等学校学科创新引智计划("111计划")联合资助项目 |
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| 摘 要： | 基于低渗透多孔介质非达西不稳定渗流的动边界数学模型,推导动边界移动速度的微分表达式,揭示动边界移动速度与动边界上地层压力关于径向距离的二次导数成正比;由此利用拉格朗日三点插值公式求得动边界附近控制方程的有限差分格式,并对下一时刻动边界的精确位置进行追踪.有限差分方法的数值结果表明界面追踪法可较好地反映低渗透多孔介质非达西不稳定渗流动边界的移动规律.
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| 关 键 词： | 低渗透多孔介质 界面追踪法 非达西渗流 启动压力梯度 有限差分法 |
| 收稿时间： | 2012-02-20 |
| 修稿时间： | 2012-06-04 |
Front Tracking for Moving Boundary of Non-Darcy Seepage Flows in Low-permeability Porous Media |
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| LIU Wenchao , YAO Jun , WANG Jianzhong. Front Tracking for Moving Boundary of Non-Darcy Seepage Flows in Low-permeability Porous Media[J]. Chinese Journal of Computational Physics, 2012, 29(6): 823-827 |
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| Authors: | LIU Wenchao YAO Jun WANG Jianzhong |
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| Affiliation: | School of Petroleum Engineering, China University of Petroleum, Qingdao 266580, China |
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| Abstract: | Based on a mathematical model of non-Darcy unsteady seepage flows in low-permeability porous media with moving boundary conditions,a differential equation of propagation velocity for moving boundary was deduced.It indicates that propagation velocity of a moving boundary is proportional to the second derivative of formation pressure with respect to radial distance on the moving boundary.And with Lagrange three-point interpolation formula,finite difference scheme of governing equation near a moving boundary was obtained.Exact position of a moving boundary is able to be tracked.Numerical results show that the front tracking method describes propagation behaviors of moving boundary of non.Darcy unsteady seepage flows in low-permeability porous media well. |
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| Keywords: | low-permeability porous media front tracking method non-Darcy seepage flow threshold pressure gradient finite difference method |
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