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黄娟, 和振, 余俊, 和炜杰. 考虑封底效应的圆形围堰渗流场解析解及应用[J]. 岩土工程学报. doi: 10.11779/CJGE20221101
引用本文: 黄娟, 和振, 余俊, 和炜杰. 考虑封底效应的圆形围堰渗流场解析解及应用[J]. 岩土工程学报. doi: 10.11779/CJGE20221101
Analytical solution and application of circular cofferdam considering backseal effect[J]. Chinese Journal of Geotechnical Engineering. doi: 10.11779/CJGE20221101
Citation: Analytical solution and application of circular cofferdam considering backseal effect[J]. Chinese Journal of Geotechnical Engineering. doi: 10.11779/CJGE20221101

考虑封底效应的圆形围堰渗流场解析解及应用

Analytical solution and application of circular cofferdam considering backseal effect

  • 摘要: 将圆形围堰周围渗流场分为4个区域,用分离变量法分别得到柱坐标系下4个区域的水头分布级数解形式,结合区域间的连续条件,并利用贝塞尔函数正交性得到考虑封底效应的圆形围堰稳态渗流场解析解。该解析解能求解成层土情况下围堰涌水量及封底层渗流水压力,并能退化到各向同性土层中围堰未封底情况。通过与数值计算结果以及其他近似法计算结果的对比,证明了该解析解的正确性及有效性。基于解析解,分析了封底层渗流水压力分布规律,结合工程实例探讨了考虑渗流影响的封底层失稳破坏规律。结果表明:渗流作用下封底层所受水压力并非均匀分布,而是呈现中心小四周大的分布形式;封底层渗透系数及厚度会显著影响渗流水压力的大小及分布。

     

    Abstract: The seepage field around the circular cofferdam is divided into four regions, and the fractional variable method is used to obtain the sequence solution of the water head distribution in the three regions under the cylindrical coordinate system, combined with the continuous conditions between the regions, and the analytical solution of the circular cofferdam steady seepage field is obtained by using the bessel function orthogonality. The correctness and effectiveness of the analytical solution are proved by comparison with the numerical results and the results of other approximate methods. The analytical solution can be used to solve the water inflow of cofferdam and the water pressure of the concrete at the bottom of the cofferdam in the case of double layer soil, and can be degraded to the case of the cofferdam without the bottom of the isotropic soil. Based on the analytical solution, The seepage water pressure distribution law of subsealing concrete is analyzed, and the instability failure law of subsealing concrete considering seepage influence is discussed with an engineering example. The results show that the water pressure on the concrete under seepage is not uniformly distributed, but in the form of small in the center and large in the periphery. The permeability coefficient and thickness of the concrete at the bottom of the seal significantly affect the magnitude and distribution of the seepage water pressure.

     

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