井点抽水时饱和分层地基的传递矩阵解

艾智勇; 吴超

doi:10.13204/j.gyjz200807014

井点抽水时饱和分层地基的传递矩阵解

doi: 10.13204/j.gyjz200807014

艾智勇,
吴超

1.
同济大学地下建筑与工程系岩土及地下工程教育部重点实验室,上海 200092

基金项目:

国家自然科学基金资助项目(50578121)

详细信息

作者简介:
艾智勇男 1966年10月出生博士副教授 E-mail:zhiyongai@mail.tongji.edu.cn

计量
- 文章访问数: 73
- HTML全文浏览量: 6
- PDF下载量: 43
- 被引次数: 0
出版历程
- 收稿日期: 2007-10-18
- 刊出日期: 2008-07-20

TRANSFER MATRIX SOLUTIONS FOR SATURATED MULTI-LAYERED SOIL DUE TO PUMPING FROM WELL POINT

Ai Zhiyong,
Wu Chao

1.
Department of Geotechnical Engineering,Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education,Tongji University Shanghai 200092

摘要

摘要: 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88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。
- 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
Abstract: Starting from the governing equations of Biot three dimensional consolidation problem and introducing the displacement functions,the 8 order transfer matrix between z=z and z=0 is obtained by taking the Laplace transform with respect to time(t) and the double Fourier transform with respect to coordinate x and y.According to the continuity conditions between adjacent layers and the horizon plane of well point pump and boundary conditions,the actual solutions of multi-layered soil due to pumping from well point are obtained by using the transfer matrix properties and the techniques of the Laplace-Fourier inverse transforms.Numerical results show that the surface settlement of saturated multi-layered soil increases with the increase of time.
- pumping from well point /
- Biot consolidation /
- displacement functions /
- transfer matrix /
- Laplace-Fourier transform /
- saturated multi-layered soil

HTML全文

参考文献(13)

[2] Booker J R,Carter J P.Analysis of a Point Sink Embedded in a Porous Elastic Half Space.Int.J.Numer.Anal.Meth.C,eomech,1986,10 (2):137-150

Blot M A.General Theory of Three-Dimensional Conselidntiou.J.Appl.Phys,1941,12(2):155-164

[3] Booker J R,Carter J P.Elastic Consolidation Around a Point Sink Embedded in a Half-Space with Anisotropic Permeability.Int.J.Numer.Anal.Meth.C,eornech,1987,11(3):61-77

[4] Worsak K N,Chau K T.Point Sink Fundamental Solutions for Subsidence Prediction.Journal of Engineering Mechanics,1990,116(5):1176-1182

[5] Tam J Q,Lu C C.Analysis of Subsidence due to a Point Sink in an Anisetropic Porous Elastic Half Space.Int.J.Numer.Anal.Meth.Geomech,1991,15(4):573-592

[6] Chau K T.Fluid Point Source and Point Forces in Linear Elastic Diffusive Half-Spaces.Mechanics of Materials,1996,23(3):241-253

[7] Lu J F,Hanyga A.Fundamental Solution for a Layered Porous Haft Space Subjected to a Vertical Point Force or a Point Fluid Source.Comput Mech,2005,35:376-391

[8] Chen G J.Analysis of Pumping in Multi-layered and Poroelnstie Half Space.Computers and C,eotechnics,2003,30:1-26

[9] Chen G J.Steady-State Solutions of Muhilayered and Cross-Anisotropie Poroelastic Haft-Space due to a Point Sink.International Journal of Geomechanics,2005,5(1):45-57

[10] Verruijt A.Displacement Functions in the Theory of Consolidation or Thermoelesticity.J.Appl.Math.Phys,1971,22:891-898

[11] Talbot A.The Accurate Numerical Inversion of Laplace Transforms.J.Inst.Math.Applic,1979,23:97-120

[12] Sueddon I N.The Use of Integral Transform.New York:McGraw-Hill,1972

[13] Ai Z Y,Yue Z Q,Them L G,et al.Extended Sneddon and Mnki Solutions for Multilayered Elastic Materials.International Journal of Engineering Science,2002,40:1453-1483

施引文献

资源附件(0)

访问统计