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工业建筑  2008 

井点抽水时饱和分层地基的传递矩阵解

DOI: 10.13204/j.gyjz200807014

Keywords: 井点抽水,Biot固结,位移函数,传递矩阵,Laplace-Fourier变换,饱和分层地基

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Abstract:

从直角坐标系下三维Biot固结问题控制方程出发,引入位移函数,并对各个变量进行关于时间t的Laplace变换和关于x、y的双重Fourier变换,得到了z=z处和z=0处的8×8传递矩阵;根据各土层间以及井点抽水作用处的连续条件、边界条件,并结合传递矩阵的性质和Laplace-Fourier逆变换技术,求得井点抽水时饱和分层地基的真实解答。数值计算结果表明,随着井点抽水时间的增加,饱和多层地基的地表位移逐渐增大。

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