Analytic Solution of Phreatic Surface in the Slope of Reservoir Bank

Tang Xiaosong,Zheng Yingren,Shi Weimin

中国工程科学 ›› 2008, Vol. 10 ›› Issue (3) : 76 -84.

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中国工程科学 ›› 2008, Vol. 10 ›› Issue (3) : 76 -84.

Analytic Solution of Phreatic Surface in the Slope of Reservoir Bank

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Analytic solution of phreatic surface in the slope of reservoir bank

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摘要

In most cases, the slope stability of reservoir bank is analyzed on the premise that the location of phreatic surface is obtained. But many designers generalize a line as the phreatic surface through their experience to analyze the stability, which is unsafe in the project. To find a solution to the phreatic surface which is convenient to put into use and in accordance with the practice, the article, based on Boussinesq equation, infers analytic solutions suitable to the water level at different ratio and achieves the expression of analytic solution through fitting curves. The correctness of the expression is also proved by the experiments of sand and sand-clay models and the inaccuracy of empirical generalization is analyzed quantitatively. The calculation results show that the inaccuracy through the method of experiential generalizing is so large that the designers should be awake to it.

Abstract

In most cases, the slope stability of reservoir bank is analyzed on the premise that the location of phreatic surface is obtained. But many designers generalize a line as the phreatic surface through their experience to analyze the stability, which is unsafe in the project. To find a solution of the phreatic surface which is convenient to put into use and in accordance with the practice, the article, based on Boussinesq equation, infers analytic solutions suitable to the water level at different ratios and achieves an analytic solution equation through fitting curves. The correctness of the equation is also proved by the experiments of sand and sandclay models and the inaccuracy of empirical generalization is analyzed quantitatively. The calculation results show that the inaccuracy through the method of experiential generalizing is so large that the designers should be awake to it.

关键词

reservoir banks / phreatic surface / analytic solution / numerical solution / empirical generalization

Key words

reservoir banks / phreatic surface / analytic solution / numerical solution / empirical generalization

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Tang Xiaosong,Zheng Yingren,Shi Weimin Analytic Solution of Phreatic Surface in the Slope of Reservoir Bank[J]. 中国工程科学, 2008, 10(3): 76-84 DOI:

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