基于分形理论的北京地区砂砾石地层细观建模

doi:10.13722/j.cnki.jrme.2016.0734

Abstract
Figure/Table
References (0)
Related Citation (15)

Download: PDF (1062 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

Abstract The mechanical properties and deformation behavior of soil-rock mixture and underground structure in soil-rock mixture stratum are influenced by the particle size distribution. The mesoscopic structural characteristics of soil-rock mixture were analyzed based on the fractal geometry theory and the relationship between the quality-particle size grading curve and the fractal dimension was determined. The fractal analysis on grain-size of 34 groups of sand-gravel soil in coordinate system was conducted and the results indicated that the sand-gravel in Beijing has the characteristics of self-similarity. The range of the fractal dimension of sand-gravel in Beijing is 2.4–2.6. The variation of the quality-particle size grading curve with the fractal dimension and maximum grain size were analyzed，yielding some new findings regarding the mechanical behavior of soil-rock mixture. It is clear that the whole grading curve can be obtained by combining the fractal geometry theory and the laboratory test on grain size distribution. A program generating the model of sand-gravel stratum is compiled based on the Monte Carlo method using the sphere to represent the shape of stone. Then，3D numerical analysis on tunnel excavation were carried out.

Key words： soil mechanics sand-gravel strata meso-structure fractal theory fractal dimension particle size distribution

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	DU Xiuli
	ZHANG Pei
	JIN Liu
	ZHANG Renbo

Cite this article:

DU Xiuli,ZHANG Pei,JIN Liu, et al. A mesoscopic model of sand-gravel stratum in Beijing based on fractal theory[J]. , 2017, 36(2): 437-445.

URL:

http://www.rockmech.org/EN/10.13722/j.cnki.jrme.2016.0734 OR http://www.rockmech.org/EN/Y2017/V36/I2/437

[2]	MEDLEY E. The engineering characterization of melanges and similar block-in-matrix rocks(bimrocks)[ Ph. D. Thesis][D]. Berkley：University of California，1994. " target="_blank">
[20]	MANDELBROT B B. The fractal geometry of nature[M]. New York：W. H. Freeman，1983：286-287. " target="_blank">
[8]	TURCOTTE D L. Fractals and fragmentation[J]. Journal of Geophysical Research Solid Earth，1986，91(B2)：1 921-1 926. " target="_blank">
[1]	LINDQUIST E. The strength and deformation properties of mélange [Ph. D. Thesis][D]. Berkeley：Department of Civil Engineering，University of California，1994. " target="_blank">
[5]	孙华飞，鞠杨，王晓斐，等. 土石混合体变形破坏及细观机制研究的进展[J]. 中国科学：技术科学：2014，44(2)：172-181.(SUN Huafei，JU Yang，WANG Xiaofei，et al. Review of the study on deformation，failure and the mesomechanisms of rock-soil mixture[J]. Science China，2014，44(2)：172-181.(in Chinese)) " target="_blank">
[7]	AVNIR D，FARIN D，PFEIFER P. Surface geometric irregularity of particulate materials：The fractal approach[J]. Journal of Colloid and Interface Science，1985，103(1)：112-123. " target="_blank">
[9]	谢和平. 岩土介质的分形孔隙和分形粒子[J]. 力学进展：1993，23(2)：145-164.(XIE Heping. Fractal pores and fractal particles of rock and soil materials[J]. Advance in Mechanics：1993，23(2)：145-164.(in Chinese)) " target="_blank">
[3]	油新华. 土石混合体的随机结构模型及其应用研究[博士学位论文][D]. 北京：北京交通大学，2001.(YOU Xinhua. Stochastic structural model of the earth-rock aggregate and its application[Ph. D. Thesis][D]. Beijing：Northern Jiaotong University，2001.(in Chinese)) " target="_blank">
[6]	CUNDALL P A，STRACK ODL. A discrete numerical model for granular assemblies[J]. Geotechnique，1979，29(1)：47-65. " target="_blank">
[10]	TYLER S W，WHEATCRAFT S W. Fractal scaling of soil particle-size distributions：analysis and limitations[J]. Soil Science Society of America Journal，1992，56(2)：362-369. " target="_blank">
[12]	田堪良，张慧莉，张伯平，等. 天然沉积砂卵石粒度分布的分形结构研究[J]. 西北农林科技大学学报：自然科学版，2002，30(5)：85-89.(TIAN Kanliang，ZHANG Huili，ZHANG Boping，et al. Fractional structure of granularity distribution of natural sedimentary sandy gravel[J]. Journal of Northwest Agriculture and Forestry University：Natural Science，2002，30(5)：85-89.(in Chinese))
[14]	舒志乐，刘新荣，刘保县，等. 基于分形理论的土石混合体强度特征研究[J]. 岩石力学与工程学报，2009，28(增1)：2 651-2 656. (SHU Zhile，LIU Xinrong，LIU Baoxian，et al. Study of strength properties of earth-rock aggregate based on fractals[J]. Chinese Journal of Rock Mechanics and Engineering，2009，28(Supp.1)：2 651- 2 656.(in Chinese))
[16]	舒志乐，刘保县，梁宁慧，等. 基于数字图像处理的土石体粗料分形特性研究[J]. 地下空间与工程学报，2012，8(3)：511-517.(SHU Zhile，LIU Baoxian，LIANG Ninghui，et al. Study on the fractal characteristics of earth-rock coarse grain based on digital image processing[J]. Chinese Journal of Underground Space and Engineering，2012，8(3)：511-517.(in Chinese))
[4]	王宇，李晓，赫建明，等. 土石混合体细观特性研究现状及展望[J]. 工程地质学报，2014，22(1)：112-123.(WANG Yu，LI Xiao，HAO Jianming，et al. Research status and prospect of rock and soil aggregate[J]. Journal of Engineering Geology，2014，22(1)：112-123.(in Chinese))
[13]	徐文杰，胡瑞林. 虎跳峡龙蟠右岸土石混合体粒度分形特征研究[J]. 工程地质学报，2006，14(4)：496-501.(XU Wenjie，HU Ruilin. Particle size fractal characteristics of the soil-rock mixture in the right bank slope of Jinsha River at Longpan，Tiger-leaping gorge area[J]. Journal of Engineering Geology：2006，14(4)：496-501.(in Chinese))
[24]	潘秀明，雷崇红. 北京地铁砂卵石砾岩地层综合工程技术[M]. 北京：人民交通出版社，2012：22-23.(PAN Xiuming，LEI Chonghong. Comprehensive engineering technology applied in gravel strata of Beijing[M]. Beijing：China Communication Press，2012：22-23.(in Chinese)) " target="_blank">
[11]	刘松玉，方磊，陈浩东. 论我国特殊土粒度分布的分形结构[J]. 岩土工程学报，1993，15(1)：23-30.(LIU Songyu，FANG Lei，CHEN Haodong. Fractal structure of granularity distribution of regional soils in China[J]. Chinese Journal of Geotechnical Engineering：1993，15(1)：23-30.(in Chinese))
[15]	舒志乐，刘新荣，刘保县，等. 土石混合体粒度分形特性及其与含石量和强度的关系[J]. 中南大学学报：自然科学版，2010，41(3)：1 096-1 101.(SHU Zhile，LIU Xinrong，LIU Baoxian，et al. Granule fractal properties of earth-rock aggregate and relationship between its gravel content and strength[J]. Journal of Central South University：Science and Technology：2010，41(3)：1 096-1 101.(in Chinese))
[17]	王宇，李晓. 土石混合体细观分形特征与力学性质研究[J]. 岩石力学与工程学报，2015，34(增1)：3 397-3 407.(WANG Yu，LI Xiao. Study of mesoscopic fractal feature and mechanical properties for rock and soil aggregates samples[J]. Chinese Journal of Rock Mechanics and Engineering，2015，34(Supp.1)：3 397-3 407.(in Chinese))
[26]	北京城建勘测设计研究院有限公司. 北京地铁10号线二期工程03合同段公主坟站—西钓鱼台站(西八里庄站)区间详勘报告[R]. 北京：北京城建勘测设计研究院有限公司，2007.(Beijing Urban Construction Exploration and Surveying Design Research Institute Co. Ltd. The detailed survey report of Gongzhufen Station—Xidiaoyutai Station of Beijing subway line 10[R]. Beijing：Beijing Urban Construction Exploration and Surveying Design Research Institute Co.，Ltd.，2007.(in Chinese)) " target="_blank">
[18]	WU L，ZHU S，WANG Y，et al. A modified scale method based on fractal theory for rockfill materials[J]. European Journal of Environmental and Civil Engineering，2013，18(1)：106-127. " target="_blank">
[19]	胡敏. 砂卵石土物理力学特性及盾构施工响应的数值模拟研究[博士学位论文][D]. 广东：华南理工大学，2014.(HU Min. Numerical method to study the physical and mechanical characteristics of sandy pebble soil and the response caused by shield tunneling[Ph. D. Thesis][D]. Guangdong：South China University of Technology，2014.(in Chinese)) " target="_blank">
[23]	张双亚，陈馈. 北京铁路地下直径线盾构选型[J]. 铁道工程学报，2007，(3)：70-73.(ZHANG Shuangya，CHEN Kui. Shield machine type selection for Beijing rail underground transit line[J]. Journal of railway engineering society，2007，(3)：70-73.(in Chinese))
[25]	苏斌，苏艺，江玉生，等. 北京典型地层盾构适应性对比与施工关键技术[M]. 北京：人民交通出版社，2013：42-43.(SU Bin，SU Yi，JIANG Yusheng，et al. Feasibility study and key construction technology on TBM applied in typical strata in Beijing[M]. Beijing：China Communication Press，2013：42-43.(in Chinese)) " target="_blank">
[28]	郭玉海. 北京地铁砂卵石地层盾构施工刀具磨损研究[硕士学位论文][D]. 北京：北京工业大学，2007.(GUO Yuhai. Study on abrasion of cutters during shield tunneling in sandy cobble stratum of Beijing metro[M. S. Thesis][D]. Beijing：Beijing University of Technology，2007.(in Chinese)) " target="_blank">
[30]	汪国峰. 北京砂卵石地层土压平衡盾构土体改良技术试验研究[博士学位论文][D]. 北京：中国地质大学，2011.(WANG Guofeng. Test research on soil improvement technology for EPBS in Beijing sandy pebble stratum[Ph. D. Thesis][D]. Beijing：China University of Geoscience，2011.(in Chinese)) " target="_blank">
[21]	姜厚停，龚秋明，杜修力. 卵石地层土压平衡盾构施工土体改良试验研究[J]. 岩土工程学报：2013，35(2)：284-292.(JIANG Houting，GONG Qiuming，DU Xiuli. Experimental study on soil conditioning in cobble layer by use of earth pressure balanced machine[J]. Chinese Journal of Geotechnical Engineering，2013，35(2)：284-292.(in Chinese))
[31]	杜修力，张佩，金浏. 土石混合体宏观力学性能分析的细观等效方法[J]. 工程力学，2017(待刊).(DU Xiuli，ZHANG Pei，JIN Liu. A mesosopic equivalent analysis method for the study on macro-mechanical properties of soil-rock-mixture[J]. Engineering Mechanics，2017(to be pressed).(in Chinese)) " target="_blank">
[22]	周永攀. 北京地区卵石地层土压平衡盾构法施工土体改良技术研究[硕士学位论文][D]. 北京：北京工业大学，2012.(ZHOU Yongpan. Research on soil conditioning study for earth-pressure balanced shields excavation in Beijing cobble layers[M. S. Thesis][D]. Beijing：Beijing University of Technology，2012.(in Chinese)) " target="_blank">
[29]	李宏安. 砂-黏复合地层土压平衡盾构隧道开挖面稳定性研究[博士学位论文][D]. 北京：中国地质大学，2013.(LI Hong?an. Face stability analysis of EPB shield-driving tunnel in sandy-clay mixed ground[Ph. D. Thesis][D]. Beijing：China University of Geoscience，2013.(in Chinese)) " target="_blank">
[27]	李雪，周顺华，周俊宏. 复杂地层大直径泥水盾构刀具磨损规律分析[J]. 地下空间与工程学报，2015，11(4)：868-873.(LI Xue，ZHOU Shunhua，ZHOU Junhong. Cutter wearing analysis of large diameter slurry shield in complex stratum[J]. Chinese Journal of Underground Space and Engineering，2015，11(4)：868-873.(in Chinese))