›› 2015, Vol. 36 ›› Issue (10): 2951-2954.doi: 10.16285/j.rsm.2015.10.028

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

Analytical solution of unidimensional steady flow hydraulic head vertical distribution in homogeneous unsaturated soil

CHENG Da-wei1, CHEN Xi2, AN Peng3, GUO Hong2, ZHENG Rui1   

  1. 1. School of Environmental Science and Engineering, Chang’an University, Xi’an, Shaanxi 710000, China; 2. School of Civil Engineering and Architecture, Shaanxi University of Technology, Hanzhong, Shaanxi 723001, China; 3. School of Geology Engineering and Geomatics, Chang’an University, Xi’an, Shaanxi 710000, China
  • Received:2014-12-18 Online:2015-10-10 Published:2018-06-13

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Abstract: The hydraulic head distribution of seepage field is the basis of seepage discharge and seepage hydraulic gradient calculation. Calculating the hydraulic head distribution of seepage field accurately and effectively is the key link in the calculation of seepage. According to the flow equation of unidimensional steady flow in homogeneous unsaturated soil and the functional relationship between hydraulic conductivity and matric suction, an analytical general formulation of seepage field is obtained with mathematical transformation. In addition, based on the Gardner model, the analytical solution of unidimensional steady flow hydraulic head vertical distribution in unsaturated soil is derived. The general formulation indicates that the unidimensional steady flow hydraulic head vertical distribution is mainly controlled by such three factors as surface water head, depth and rate of flow. Under the condition of unidimensional steady evaporation, the hydraulic head distributions of two typical soils in vertical direction, namely silt and clay, are calculated respectively. The result shows that under the steady evaporation condition, the laws of hydraulic head distribution of silt and clay in vertical direction are similar. With the increase of depth, the characteristic of hydraulic head distribution shows an accelerating degressive tendency from surface to groundwater level. The hydraulic head in clay is higher than that in silt under the same evaporation condition. For the same soil, the faster the evaporation, the higher the hydraulic head. Conversely, the hydraulic head is lower.

Key words: unsaturated soil, steady flow, hydraulic head distribution, analytical solution

CLC Number: 

  • O 351
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