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    斜坡降雨入渗的改进Mein-Larson模型

    唐扬 殷坤龙 汪洋 陈丽霞 刘继芝娴

    唐扬, 殷坤龙, 汪洋, 陈丽霞, 刘继芝娴, 2017. 斜坡降雨入渗的改进Mein-Larson模型. 地球科学, 42(4): 634-640. doi: 10.3799/dqkx.2017.050
    引用本文: 唐扬, 殷坤龙, 汪洋, 陈丽霞, 刘继芝娴, 2017. 斜坡降雨入渗的改进Mein-Larson模型. 地球科学, 42(4): 634-640. doi: 10.3799/dqkx.2017.050
    Tang Yang, Yin Kunlong, Wang Yang, Chen Lixia, Liu Jizhixian, 2017. The Landslide Rain Infiltration Based on the Improved Mein-Larson Model. Earth Science, 42(4): 634-640. doi: 10.3799/dqkx.2017.050
    Citation: Tang Yang, Yin Kunlong, Wang Yang, Chen Lixia, Liu Jizhixian, 2017. The Landslide Rain Infiltration Based on the Improved Mein-Larson Model. Earth Science, 42(4): 634-640. doi: 10.3799/dqkx.2017.050

    斜坡降雨入渗的改进Mein-Larson模型

    doi: 10.3799/dqkx.2017.050
    基金项目: 

    国家自然科学基金项目 41572292

    详细信息
      作者简介:

      唐扬 (1991-),男,博士研究生,主要从事降雨滑坡破坏机理及稳定性研究相关工作.ORCID:0000-0003-0875-5665.E-mail: tangyang.520@163.com

      通讯作者:

      汪洋,ORCID:0000-0002-4854-1223.E-mail: wangyangcug@126.com

    • 中图分类号: P641

    The Landslide Rain Infiltration Based on the Improved Mein-Larson Model

    • 摘要: 土壤初始含水率分布是影响湿润锋下移的重要因素之一.传统的降雨入渗模型仅假定初始含水率均匀分布,并没有考虑非均匀分布的情况.以Mein-Larson降雨入渗模型为基础,假定初始含水率随垂直于坡面方向深度呈线性分布,推导了一种新的滑坡降雨入渗函数,弥补了原模型只能用于初始含水率均匀分布情况下的不足.研究结果表明:初始含水率分布对湿润锋下移有较大影响,在初始含水率呈线性分布的情况下,坡体表面含水率越大,含水率随垂直于坡面方向深度的变化率k值越接近零,湿润锋下渗速度越快,当k=0时,新模型退化为Mein-Larson降雨入渗模型,证明Mein-Larson降雨入渗模型是新模型的一个特例.与有限元法得到的结果对比表明,提出的降雨入渗新模型计算的湿润锋下渗深度与数值解结果相接近,证明了该方法的可靠性.

       

    • 图  1  GA入渗模型

      Fig.  1.  Green-Ampt model

      图  2  斜坡降雨入渗模型

      Fig.  2.  The rainfall infiltration model of landslide

      图  3  改进的Mein-Larson降雨入渗模型

      Fig.  3.  The improved Mein-Larson rainfall infiltration model

      图  4  湿润锋随时间的变化情况

      Fig.  4.  The changes of wetting front with time

      图  5  数值模拟模型

      Fig.  5.  The numerical simulation model

      图  6  3个工况剖面含水率随时间的变化情况

      a.工况Ⅰ剖面;b.工况Ⅱ剖面;c.工况Ⅲ剖面

      Fig.  6.  The changes of the profile of moisture content with time in the 3 situations

      图  7  模型解与数值解的比较

      Fig.  7.  The comparison between model and numerical simulation

      表  1  土体参数

      Table  1.   The soil parameters

      θrθsKs(m/s)α(m-1)nsf(m)
      0.0150.45.8×10-61.51.50.06
      下载: 导出CSV

      表  2  计算工况

      Table  2.   The calculation situations

      工况初始状态含水率分布
      θ0k
      0.150.062 5
      0.200.050 0
      0.300.025 0
      Mein-Larson模型0.300
      下载: 导出CSV

      表  3  模型解与数值解计算结果

      Table  3.   The results of model and numerical simulation

      类型工况不同时间点湿润锋入渗深度 (m)
      4.0 h4.5 h5.0 h5.5 h6.0 h6.5 h7.0 h7.5 h8.0 h
      模型解0.4660.5210.5750.6290.6830.7390.7940.8500.906
      数值解0.4840.5650.6060.6860.7270.7670.8080.8890.929
      模型解0.5750.6430.7110.7800.8490.9200.9901.0631.137
      数值解0.6060.6860.7670.8480.8890.9291.0101.0911.172
      模型解1.1371.2881.4451.6091.7821.9652.1612.3742.608
      数值解1.2121.3331.4541.6161.7771.9392.0602.2262.505
      下载: 导出CSV
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    • 收稿日期:  2016-09-12
    • 刊出日期:  2017-04-15

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