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Rainfall will affect the characteristics of slope flow field. Due to the continuous flow of fluid, the surface runoff and slope seepage usually exist a coupling linkage phenomenon. The surface runoff is described by the N-S equation, while the Darcy’s law is used to describe the seepage in the slope. The analytical solutions of velocity distribution, pressure and discharge as well as the semi-analytical solution of runoff surface line are derived by the separation of variables method under the velocity slipping boundary condition at the interface between runoff and soil. In addition, the explicit Runge-Kutta method is adopted to solve the water depth, velocity and discharge values at different locations. The results show that the steeper the slope is, the faster the fluid movement and the shallower the water depth is. The greater the rainfall intensity is, the deeper the overall water depth is. The flow velocity at the slope surface is not equal to 0. The closer to the downstream, the larger the proportion of runoff flow discharge is. The study can provide reference for the research of the slope flow field characteristics.

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降雨会影响边坡流场特性,由于流体的连续性,坡表径流和坡体渗流通常存在耦合联动现象。其中,坡表径流由N-S方程描述,坡内渗流采用Darcy定律描述。在速度滑移水-土界面边界条件下,通过分离变量法推导出流速分布、压强和流量的解析解及径流水面线的半解析解。此外,采用显式龙格-库塔方法求出不同位置的水深、流速和流量值。结果发现,边坡越陡,流体运动越快且水深越浅;降雨强度越大,整体水深越深;坡表处流速不等于0;且越靠近下游,径流量的占比越大。研究结果可为边坡流场特性研究提供参考。

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彭秀启(1967-),男,高级工程师,研究方向为水利岩土工程,E-mail:

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彭秀启(1967-),男,高级工程师,研究方向为水利岩土工程,E-mail:

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彭秀启(1967-),男,高级工程师,研究方向为水利岩土工程,E-mail:

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降雨-径流-渗流耦合作用下边坡流场研究
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彭秀启 1 , 冯永梅 2
水电能源科学 | 水文水资源与环境 2023,41(10): 32-35
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水电能源科学 | 水文水资源与环境 2023, 41(10): 32-35
降雨-径流-渗流耦合作用下边坡流场研究
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彭秀启1 , 冯永梅2
作者信息
  • 1.山东省临沂市水利资源开发服务中心,山东 临沂 276000
  • 2.山东省临沂市水利勘测设计院,山东 临沂 276000
  • 彭秀启(1967-),男,高级工程师,研究方向为水利岩土工程,E-mail:

Study on Slope Flow Field Under Coupling Interaction of Rainfall-runoff-seepage
Xiu-qi PENG1 , Yong-mei FENG2
Affiliations
  • 1.Linyi Water Resources Development Service Center, Linyi 276000, China
  • 2.Linyi Water Resources Survey and Design Institute, Linyi 276000, China
出版时间: 2023-10-25 doi: 10.20040/j.cnki.1000-7709.2023.20230598
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降雨会影响边坡流场特性,由于流体的连续性,坡表径流和坡体渗流通常存在耦合联动现象。其中,坡表径流由N-S方程描述,坡内渗流采用Darcy定律描述。在速度滑移水-土界面边界条件下,通过分离变量法推导出流速分布、压强和流量的解析解及径流水面线的半解析解。此外,采用显式龙格-库塔方法求出不同位置的水深、流速和流量值。结果发现,边坡越陡,流体运动越快且水深越浅;降雨强度越大,整体水深越深;坡表处流速不等于0;且越靠近下游,径流量的占比越大。研究结果可为边坡流场特性研究提供参考。

均匀降雨  /  流速分布  /  边坡  /  径流  /  渗流

Rainfall will affect the characteristics of slope flow field. Due to the continuous flow of fluid, the surface runoff and slope seepage usually exist a coupling linkage phenomenon. The surface runoff is described by the N-S equation, while the Darcy’s law is used to describe the seepage in the slope. The analytical solutions of velocity distribution, pressure and discharge as well as the semi-analytical solution of runoff surface line are derived by the separation of variables method under the velocity slipping boundary condition at the interface between runoff and soil. In addition, the explicit Runge-Kutta method is adopted to solve the water depth, velocity and discharge values at different locations. The results show that the steeper the slope is, the faster the fluid movement and the shallower the water depth is. The greater the rainfall intensity is, the deeper the overall water depth is. The flow velocity at the slope surface is not equal to 0. The closer to the downstream, the larger the proportion of runoff flow discharge is. The study can provide reference for the research of the slope flow field characteristics.

uniform rainfall  /  velocity distribution  /  slope  /  runoff  /  seepage
彭秀启, 冯永梅. 降雨-径流-渗流耦合作用下边坡流场研究. 水电能源科学, 2023 , 41 (10) : 32 -35 . DOI: 10.20040/j.cnki.1000-7709.2023.20230598
Xiu-qi PENG, Yong-mei FENG. Study on Slope Flow Field Under Coupling Interaction of Rainfall-runoff-seepage[J]. Water Resources and Power, 2023 , 41 (10) : 32 -35 . DOI: 10.20040/j.cnki.1000-7709.2023.20230598
2023年第41卷第10期
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doi: 10.20040/j.cnki.1000-7709.2023.20230598
  • 接收时间:2023-04-14
  • 首发时间:2026-01-28
  • 出版时间:2023-10-25
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  • 收稿日期:2023-04-14
  • 修回日期:2023-05-31
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    1.山东省临沂市水利资源开发服务中心,山东 临沂 276000
    2.山东省临沂市水利勘测设计院,山东 临沂 276000
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2种不同金属材料的力学参数

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鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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