孔隙流体可压缩各向异性土体三维固结半解析数值模拟

摘要
图/表
参考文献
相关文章 (15)

全文: PDF (312 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)

摘要基于满足边界条件的位移和超孔隙水压力试探函数，利用半解析数值原理建立考虑孔隙流体可压缩性各向异性层状土体三维Biot固结问题的有限层求解格式，由三角函数系的正交性实现加权余量方程按不同级数项的解耦。在编制相应计算程序实现有限层方程求解的基础上，进行算例数值分析，通过计算结果和经典解答的对比验证半解析数值方法的有效性，同时说明渗透各向同性、孔隙流体可压缩性、横观各向同性以及土体层状分布对三维固结行为的影响。

	服务

	把本文推荐给朋友
	加入我的书架
	加入引用管理器
	E-mail Alert
	RSS
	作者相关文章

关键词 ：土力学, 半解析数值法, 三维固结, 可压缩性, 各向异性, 层状土体

Abstract：Based on the trial functions of displacement and excess pore water pressure satisfying the boundary conditions and the semi-analytical numerical technique，a semi-analytical numerical scheme of finite layer method for solving three-dimensional Biot?s consolidation of the anisotropic and layered soil with compressible constituents is presented. Moreover，by means of the orthogonality of the trigonometric functions series，the weighted residual equations are decoupled into several independence ones associated with different series modes. Based on a computer program developed for solving this problem，several numerical examples are given. The validity of the presented method is verified through a comparison between the numerical results and the classical solutions. Meanwhile，the influences of anisotropy of permeability，compressibility of pore fluid，transverse isotropy and characteristics of layered soil on the behaviors of three-dimensional Biot?s consolidation are demonstrated.

Key words： soil mechanics semi-analytical numerical method three-dimensional consolidation compressibility anisotropy layered soil

收稿日期: 2011-09-26

引用本文:

徐进1，蔡正银1，王旭东2. 孔隙流体可压缩各向异性土体三维固结半解析数值模拟[J]. 岩石力学与工程学报, 2012, 31(5): 1049-1054.
XU Jin1，CAI Zhengyin1，WANG Xudong2. SEMI-ANALYTICAL NUMERICAL SIMULATION FOR THREE-DIMENSIONAL CONSOLIDATION OF COMPRESSIBLE ANISOTROPIC SOIL WITH PORE FLUID. , 2012, 31(5): 1049-1054.

链接本文:

http://www.rockmech.org/CN/Y2012/V31/I5/1049

[6]	宰金珉，梅国雄. 有限层法求解三维比奥固结问题[J]. 岩土工程学报，2002，24(1)：31-33.(ZAI Jinmin，MEI Guoxiong. Finite layer analysis of three dimensional Biot consolidation[J]. Chinese Journal of Geotechnical Engineering，2002，24(1)：31-33.(in Chinese))
[12]	CHEN G J. Consolidation of multilayered half space with anisotropic permeability and compressible constituents[J]. International Journal of Solids and Structures，2004，41(16/17)：4 567-4 586. " target="_blank">
[16]	朱百里，沈珠江. 计算土力学[M]. 上海：上海科学技术出版社，1990：41-48.(ZHU Baili，SHEN Zhujiang. Computational soil mechanics[M]. Shanghai：Shanghai Science and Technology Press，1990：41-48.(in Chinese)) " target="_blank">
[1]	BIOT M A. General theory of three-dimensional consolidation[J]. Journal of Applied Physics，1941，12(2)：155-164. " target="_blank">
[2]	MCNAMEE J，GIBSON R E. Plane strain and axially symmetric problem of the consolidation of a semi-infinite clay stratum[J]. Quarterly Journal of Mechanics and Applied Mathematics，1960，13(2)：210-227. " target="_blank">
[3]	BOOKER J R. The consolidation of a finite layer subject to surface loading[J]. International Journal of Solids and Structures，1974，10(9)：1 053-1 065. " target="_blank">
[4]	AI Z Y，WANG Q S，WU C. A new method for solving Biot?s consolidation of a finite soil layer in the cylindrical coordinate system[J]. Acta Mechanica Sinica，2008，24(6)：691-697.
[5]	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]. 岩土力学，2010，31(增2)：25-30.(AI Zhiyong，CHENG Yichong. Transfer matrix solutions for three-dimensional transversely isotropic multilayered soils[J]. Rock and Soil Mechanics，2010，31(Supp.2)：25-30.(in Chinese)) " target="_blank">
[7]	曹志远，张佑启. 半解析数值方法[M]. 北京：国防工业出版社，1992：50-55.(CAO Zhiyuan，CHEUNG Y K. Semi-analytical numerical method[M]. Beijing：National Defense Industry Press，1992：50-55.(in Chinese)) " target="_blank">
[8]	YUE Z Q，SELVADURAI A P S，LAW K T. Excess pore water pressure in a poro-elastic seabed saturated with a compressible fluid[J]. Canadian Geotechnical Journal，1994，31(6)：979-988. " target="_blank">
[9]	CHEN G J. Axisymmetric solutions for layered and poro-elastic media with compressible constituents[C]// Proceedings of the 3rd International Conference on Soft soil Engineering. Hong Kong：[s.n.]，2001：251-256. " target="_blank">
[10]	魏海云，詹良通，陈云敏. 高饱和度土的压缩和固结特性及其应用[J]. 岩土工程学报，2006，28(2)：264-269.(WEI Haiyun，ZHAN Liangtong，CHEN Yunmin. Compressibility and consolidation of unsaturated soils with high degree of saturation and its application[J]. Chinese Journal of Geotechnical Engineering，2006，28(2)：264-269.(in Chinese))
[11]	SENJUNTICHAI T，RAJAPAKSE R K N D. Exact stiffness method for quasi-statics of a multi-layered poro-elastic medium[J]. International Journal of Solids and Structures，1995，32(11)：1 535- 1 553. " target="_blank">
[13]	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]. 岩土力学，2010，31(增2)：212-217.(ZENG Wenze，AI Zhiyong. Axisymmetric consolidation of a multilayer rock with anisotropic permeability and compressible constituents[J]. Rock and Soil Mechanics，2010，31(Supp.2)：212-217.(in Chinese)) " target="_blank">
[14]	胡云世，苏辉，成怡冲，等. 层状可压缩岩基三维固结问题的状态空间解[J]. 岩土力学，2011，32(增1)：176-180.(HU Yunshi，SU Hui，CHENG Yichong，et al. State space solution to three- dimensional consolidation of layered rock with compressible constituents[J]. Rock and Soil Mechanics，2011，32(Supp.1)：176-180.(in Chinese)) " target="_blank">
[15]	张问清，赵锡宏，宰金珉. 任意力系作用下的层状弹性半空间的有限层分析方法[J]. 岩土工程学报，1981，3(2)：27-42.(ZHANG Wenqing，ZHAO Xihong，ZAI Jinmin. Finite layer analysis for layered and elastic half-space under arbitrary force systems[J]. Chinese Journal of Geotechnical Engineering，1981，3(2)：27-42.(in Chinese))