Rule of Transient Phreatic Flow Subjected to Vertical and Horizontal Seepage

TAO Yue-zan; XI Dao-ying

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TAO Yue-zan, XI Dao-ying. Rule of Transient Phreatic Flow Subjected to Vertical and Horizontal Seepage[J]. Applied Mathematics and Mechanics, 2006, 27(1): 53-59.

Citation:

TAO Yue-zan, XI Dao-ying. Rule of Transient Phreatic Flow Subjected to Vertical and Horizontal Seepage[J]. Applied Mathematics and Mechanics, 2006, 27(1): 53-59.

Citation:

TAO Yue-zan, XI Dao-ying. Rule of Transient Phreatic Flow Subjected to Vertical and Horizontal Seepage[J]. Applied Mathematics and Mechanics, 2006, 27(1): 53-59.

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Rule of Transient Phreatic Flow Subjected to Vertical and Horizontal Seepage

TAO Yue-zan¹,
XI Dao-ying²

1.
School of Civil Engineering, Hefei University of Technology, Hefei 230007, P. R. China;

Received Date: 2004-08-17
Rev Recd Date: 2005-09-12
Publish Date: 2006-01-15

Abstract

Abstract

In a semi_infinite aquifer bounded by a channel,a transient flow model is constructed for phreatic water subjected to vertical and horizontal seepage.Based on the first linearized Boussinesq equation,the analytical solution of the model is obtained by Laplace transform.Having proven the transformation between the analytical solution and some relevant classic formulas,suitable condition for each of these formulas is demonstrated.According to the analytical solution,the variation of transient flow process caused by the variables,such as vertical infiltration intensity,fluctuation range of river stage,aquifer parameters such as transmissivity and specific yield,and the distance from calculating point to channel boundary,is analyzed quantitatively one by one.Lagging effect will happen to the time,when phreatic water gets its maximum fluctuation velocity,response to the varying of the variables stated above.The condition for some variables that can form equivalent lagging effect is demonstrated.Corresponding to the mathematical characteristics of the analytical solution,the physical implication and the fluctuation rule of groundwater level are discussed.
- channel boundary,
- semi_infinite aquifer,
- vertical seepage,
- horizontal seepage,
- transient phreatic flow

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References(10)

References

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