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王建, 姜海霞. 排水孔模拟的汇线单元法[J]. 岩土工程学报, 2008, 30(5): 677-684.
引用本文: 王建, 姜海霞. 排水孔模拟的汇线单元法[J]. 岩土工程学报, 2008, 30(5): 677-684.
WANG Jian, JIANG Haixia. Simulating drainage holes with line sink drainage element[J]. Chinese Journal of Geotechnical Engineering, 2008, 30(5): 677-684.
Citation: WANG Jian, JIANG Haixia. Simulating drainage holes with line sink drainage element[J]. Chinese Journal of Geotechnical Engineering, 2008, 30(5): 677-684.

排水孔模拟的汇线单元法

Simulating drainage holes with line sink drainage element

  • 摘要: 为模拟排水效应并解决排水孔附近水头梯度大、有限元网格划分细而显著增加计算量的问题,提出了汇线单元法。根据地下水运动基本理论,假设排水井的井周水流为径向流,推导出排水井流量的解析解,之后将该流量分配到常规有限单元的节点,建立节点水头与排水量之间的关系,形成汇线单元直接进行求解,实现排水孔的模拟。讨论了单井、干扰井群以及非完整井条件下汇线单元的差异,得出了以单井代替井群和非完整井误差不大的结论。应用表明,该方法程序实现简单,计算精度高。

     

    Abstract: The line sink drainage element method was proposed to solve the problem that small FEM grid was needed near drainage holes due to the high hydraulic gradient at the cost of time consuming.Based on the assumption that the water flow around the drainage holes was radial one,the flux of the drainage holes was determined.Then,the line sink drainage elements were created by establishing the relationship between the drainage flux and water heads of the nodes of conventional element containing the drainage holes.The differences among the line sink drainage elements used in completely penetrating single well,well cluster,and partially penetrating well were discussed,and the conclusion was drawn that replacing well cluster and partially penetrating well with completely penetrating single well only brought small error.The line sink drainage elements could be used to simulate the function of drainage holes in a simple way with high precision.

     

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