直线补给边界深井降水渗流分析的镜像反射方法  

Mirror image reflection method of seepage analysis for deep well dewatering with linear recharge boundary

作　　者：葛孝椿[1] 陈光临[2] 张立争[2] 崔德密[1] 周山[1] 

机构地区：[1]水利部淮河水利委员会水利科学研究院,安徽蚌埠233000 [2]水利部淮河水利委员会治淮工程建设管理局,安徽蚌埠233000

出　　处：《岩土工程学报》2005年第7期812-818,共7页Chinese Journal of Geotechnical Engineering

摘　　要：通过无穷多次镜像反射叠加得出两侧直线补给边界深井降水分析方法。对于两侧直线补给边界水位和补给流量不同的情况,建立了无穷级数表达的非线性方程组;用Leibniz准则证明了有关无穷级数收敛,从而确定解答存在极限值;编制的计算程序用叠代法求解非线性方程组;并提出直线补给边界影响距离概念和确定的方法。也可以称为两侧直线补给边界条件下的井群干扰分析方法。通过实际工程应用说明,该方法计算程序应用方便,前后处理省工省时。The analytic method of deep well dewatering with two lateral linear recharge boundary was obtained by successively adding infinite multi-mirror-image reflections. The nonlinear equation group expressed by infinite series was made up in the condition of different water level and recharge quantity on two lateral linear recharge boundary. By Leibniz Criterion the concerned infinite series was proved to be convergent so as to determine that there was limit value of solution. The composed programme uses successive substitution method to solve nonlinear equation group, and provides the influence distance conception of the linear recharge boundary and method to determine it. It is called the analytic method of well group interference under the condition of two lateral linear recharge boundary. It is shown by engineering practice that the computation programme of this method can be applied conveniently to save labour and time.

关 键 词：基坑降水 深井降水 井群干扰 镜像反射 直线补给边界 直线补给边界影响距离 

分 类 号：TV139.1[水利工程—水力学及河流动力学]