轴对称多层可压缩渗透各向异性岩基固结分析

›› 2010, Vol. 31 ›› Issue (S2): 212-217.

轴对称多层可压缩渗透各向异性岩基固结分析

曾文泽，艾智勇

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

收稿日期:2010-07-23 出版日期:2010-12-10 发布日期:2011-01-12
通讯作者: 艾智勇，男，博士，教授。 E-mail:zhiyongai@tongji.edu.cn
作者简介:曾文泽，男，1986年生，硕士研究生，主要从事岩土及地下工程方面的研究工作。
基金资助:
国家自然科学基金资助项目（No. 50578121）。

Axisymmetric consolidation of a multilayer rock with anisotropic permeability and compressible constituents

ZENG Wen-ze , AI Zhi-yong

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

Received:2010-07-23 Online:2010-12-10 Published:2011-01-12

摘要/Abstract

摘要：

从轴对称固结基本方程出发，通过对时间t、坐标r的Laplace-Hankel变换，再对坐标z的Laplace变换，得到三元一次方程组，解此方程组，并进行Laplace逆变换，得到了单层可压缩渗透各向异性岩基轴对称固结问题的传递矩阵，然后利用传递矩阵法，结合层间连续性条件和边界条件，得到了多层可压缩渗透各向异性岩基轴对称固结问题在积分变换域内的解。最后应用Laplace-Hankel逆变换技术得到轴对称固结问题在物理域内的理论解。编制了相应的计算程序，并进行了数值计算与分析，讨论了可压缩性和渗透各向异性对岩基固结的影响，结果表明：可压缩性越大，岩基瞬时沉降越大；渗透各向异性对固结过程影响明显，但对初始和最终沉降的影响很小。

关键词: 多层岩基, 可压缩性, 渗透各向异性, Laplace-Hankel变换, 传递矩阵

Abstract:

Starting from the governing equations of axisymmetric consolidation, together with the technique of Laplace-Hankel transform with respect to time t, coordinate r, and Laplace transform to coordinate z, respectively, a set of linear equations in the transform domain is obtained. After solving these linear equations, the transfer matrix for a single layer rock with anisotropic permeability and compressible constituents is acquired. Based on the continuity and the boundary conditions, the transfer matrix method is utilized to derive the solution of the multilayer rock with anisotropic permeability and compressible constituents in the transform domain. By the inversion of the Laplace-Hankel transform, the solution of consolidation problems for the multilayer rock with anisotropic permeability and compressible constituents in the physical domain is obtained. Numerical calculation and analysis are carried out by the computer program; and the effects of the compressibility of pore fluid and anisotropic permeability on the process of consolidation is discussed. The results show that growing compressible constituents will cause larger immediate settlement of the rock; and the influence of anisotropic permeability on consolidation process is obvious, but minute on initial and immediate settlement.

Key words: multilayer rock, compressible constituents, anisotropic permeability, Laplace-Hankel transform, transfer matrix

中图分类号:

TU 471.6

曾文泽，艾智勇. 轴对称多层可压缩渗透各向异性岩基固结分析[J]. , 2010, 31(S2): 212-217.

ZENG Wen-ze , AI Zhi-yong. Axisymmetric consolidation of a multilayer rock with anisotropic permeability and compressible constituents[J]. , 2010, 31(S2): 212-217.

参考文献

相关文章 15

[1]	徐杰, 周建, 罗凌晖, 余良贵, . 高岭-蒙脱混合黏土渗透各向异性模型研究[J]. 岩土力学, 2020, 41(2): 469-476.
[2]	竺明星, 戴国亮, 龚维明, 万志辉, 卢红前, . 水平荷载下桩身侧阻抗力矩的作用机制与计算模型研究[J]. 岩土力学, 2019, 40(7): 2593-2607.
[3]	熊辉，江雅丰，禹荣霞. 层状地基中基于Laplace变换的桩基横向振动阻抗计算[J]. , 2018, 39(5): 1901-1907.
[4]	张治国，马兵兵，黄茂松，徐晓洋，. 山区滑坡诱发既有隧道受力变形影响分析[J]. , 2018, 39(10): 3555-3564.
[5]	黄琪嵩，程久龙, . 软硬互层岩体采场底板的应力分布及破坏特征研究[J]. , 2017, 38(S1): 36-42.
[6]	尹静，邓荣贵，王金梅，王园园，李凯甜,. 锚索抗滑桩内力计算的传递矩阵法[J]. , 2017, 38(12): 3517-3523.
[7]	沈纪苹，陈蕾. 基于传递矩阵法的层状土中管桩水平动力阻抗分析[J]. , 2016, 37(10): 2810-2816.
[8]	李亮，杜修力. 基于传递矩阵的两相介质波动问题时域显式有限元方法稳定性研究[J]. , 2014, 35(6): 1768-1774.
[9]	艾智勇，曹国军. 弹性矩形板下横观各向同性多层地基分析[J]. , 2011, 32(S2): 58-63.
[10]	胡云世，苏辉，成怡冲，艾智勇. 层状可压缩岩基三维固结问题的状态空间解[J]. , 2011, 32(S1): 176-180.
[11]	蔡忠祥，张陈蓉，黄茂松. 地面堆载对变截面地埋管线影响分析[J]. , 2011, 32(S1): 408-0412.
[12]	徐明江，魏德敏，何春保. 层状非饱和土地基的轴对称稳态动力响应[J]. , 2011, 32(4): 1113-1118.
[13]	郑鑫，陶夏新，王福彤. 传递矩阵法求解弹性半空间单一覆盖层轴对称动力问题的误差分析[J]. , 2011, 32(12): 3763-3767.
[14]	艾智勇，成怡冲. 三维横观各向同性成层地基的传递矩阵解[J]. , 2010, 31(S2): 25-30.
[15]	艾智勇，王全胜. 多层横观各向同性地基轴对称固结的传递矩阵解[J]. , 2009, 30(4): 921-925.

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed