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不透水地基上堤坝上游坡的附加渗径
引用本文:吴世余,余金煌.不透水地基上堤坝上游坡的附加渗径[J].岩土力学,2009,30(10):3151-3153.
作者姓名:吴世余  余金煌
作者单位:安徽省淮河水利委员会,水利科学研究院,安徽,蚌埠,233000
摘    要:根据努美罗夫的理论解,附加渗径 与上游水深H成正比,与单宽流量与渗透系数的比值q/k成反比。按该理论解的浸润线方程,应用数值积分法求出比例系数 和 ,并提出了有足够精度的拟合式。边坡有压流的附加渗径 仅与透水层厚度T成正比,而和H、q/k无关, 。根据计算结果, 。对于 反比于q/k,文中作了分析和解释。该计算方法还可推广应用于上游坡下有一定厚度覆盖层的附加渗径计算,并且对附加渗径的各计算式作了比较和分析,并以实例说明了如何应用附加渗径计算堤坝的渗流。

关 键 词:堤坝  渗流  复变函数  数值积分
收稿时间:2008-06-25

Additional length of seepage path of upstream slope of dams and levees on impervious strata
WU Shi-yu,YU Jin-huang.Additional length of seepage path of upstream slope of dams and levees on impervious strata[J].Rock and Soil Mechanics,2009,30(10):3151-3153.
Authors:WU Shi-yu  YU Jin-huang
Institution:Anhui and Huaihe River Water Resources Institute, Bengbu 233000, China
Abstract:According to Numerov’s theoretical solution, the additional length of seepage path of upstream slope of dams and levees on impervious strata is direct propotional to the upstream water depth H, and inverse propotional to the ratio of the seepage quantity of unit width to the permeability coefficient q/k. On the basis of the equation of phreatic line in Numerov’s theoretical solution, coefficients and are calculated by Simpson’s numerical integration method. For confined flow, the corresponding additional length of slope is directly propotional to the thickness T of permeable strata only; and not relate to H and q/k, i.e. . In accordence with the calculating results, . Why the additional length is inversely propotional to q/k, the reason is explained. The method of calculating has extended to the condition that under the slope an overburden is located. All the formulae of additional length are analysed and compared each other. Finally, an example is given to relate the process of calculating the seepage flow of dams with the additional length .
Keywords:dams and levees  seepage  function of complex variable complex variable  numerical integration
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