库水位下降时的岸坡非稳定渗流问题研究

›› 2008, Vol. 29 ›› Issue (7): 1807-1812.

库水位下降时的岸坡非稳定渗流问题研究

孙冬梅^{1, 2}，朱岳明¹，张明进³

1.河海大学水利水电工程学院，南京 210098；2.天津大学建工学院，天津300072；3.交通部天津水运工程科学研究所，天津 300456

收稿日期:2006-09-15 出版日期:2008-07-10 发布日期:2013-07-27
作者简介:孙冬梅，1978年生，博士后，主要从事饱和-非饱和渗流数值模拟及其应用，水资源的合理开发利用方面的研究。
基金资助:
国家自然科学基金重点资助项目（No. 50539020），科技部中奥两国科技合作基金项目（No.VII.A.1）和江苏省国际合作项目资助（No.BZ 2003046）。

Research on unsteady seepage problem of bank slope due to drawdown of reservoir water level

SUN Dong-mei^{1, 2}, ZHU Yue-ming¹, ZHANG Ming-jin³

1.College of Water Conservancy & Hydropower Engineering, Hohai University, Nanjin 210098, China; 2. School of Civil Engineering, Tianjin University, Tianjin 300072, China; 3. Tianjin Research Institute of Water Transport Engineering, Tianjin 300456, China

Received:2006-09-15 Online:2008-07-10 Published:2013-07-27

摘要/Abstract

摘要： 水位下降时岸坡的渗流是涉及土体由饱和向非饱和状态过渡的水-气二相流过程，目前相关研究成果大都假设孔隙气压力为0，忽略孔隙气的影响。根据水、空气的质量守恒定律和达西定律，结合多相流理论建立水-气二相流模型，采用高效的积分有限差分法求解，通过变换主要变量，实现饱和（单相）与非饱和（二相）的相互转变，并给出各种边界条件下合理的数学处理方法。通过Muskat渗流问题，验证了上述模型的正确性；并对某土质岸坡水位下降时的非稳定渗流问题进行分析，结果表明，岸坡的基质吸力小于浸润线以上的负孔隙水压力，在浸润线以上的很大区域为毛细管水饱和带，其土体饱和且基质吸力为0，这对边坡稳定十分不利，精确分析水位下降的边坡稳定问题时，孔隙气压力变化的影响值得研究。

关键词: 渗流, 水-气二相流, 积分有限差分法, 毛细管水饱和带, 水位下降

Abstract: Seepage of bank slope due to water level drawdown is a process of water-air two-phase seepage; in which the saturated soil transforms unsaturated soil. At present, in the relevant studies the air phase is considered as a passive phase, the influence of pore air is ignored. In this paper, a water-air two-phase flow model is proposed based on the water, air mass balance equations, Darcy’s law and multiphase flow theory. Using the efficient integrated finite difference method, a fully implicit simultaneous computation code is developed. By switching primary variables according to different phase states, a set of phase states (single phase and two-phase) which is variable with space and time are taken into account. The water-air two-phase flow model is verified by simulating water through an earth dam with vertical faces known as Muskat problem. The unsteady seepage problem of bank slope due to water level drawdown is simulated numerically. The results indicate that above the free table the value of capillary pressure is much smaller than the value of pore water pressure; there is a saturated capillary water belt with relative large area, in which the pore of soil is filled with water and the matric suction is zero. So the saturated capillary water belt may endanger slope stability; and in refined analysis of slope stability, the influence of pore air pressure should be taken into account.

Key words: seepage, water-air two-phase flow, integrated finite difference method, saturated capillary water belt, drawdown

中图分类号:

TV 131.1

孙冬梅，朱岳明，张明进 . 库水位下降时的岸坡非稳定渗流问题研究[J]. , 2008, 29(7): 1807-1812.

SUN Dong-mei , ZHU Yue-ming , ZHANG Ming-jin . Research on unsteady seepage problem of bank slope due to drawdown of reservoir water level[J]. , 2008, 29(7): 1807-1812.

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