Study on Probability Distribution Characteristics of Dynamic Shear Modulus and Damping Ratio of Red Clay

Liu Juan; Meng Yunlong; Xu Guodong; Lan Jingyan

doi:10.20174/j.JUSE.2024.04.06

Chinese Journal of Underground Space and Engineering >

2024 , Vol. 20 >Issue 4: 1108 - 1116

DOI: https://doi.org/10.20174/j.JUSE.2024.04.06

Study on Probability Distribution Characteristics of Dynamic Shear Modulus and Damping Ratio of Red Clay

Liu Juan ,
Meng Yunlong ,
Xu Guodong ,
Lan Jingyan

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1. Key Laboratory of Earthquake Engineering and Engineering Vibration, Institute of Engineering Mechanics, China Earthquake Administration, Harbin 150080, P.R. China;
2. Key Laboratory of Earthquake Disaster Mitigation, Ministry of Emergency Management, Institute of Engineering Mechanics, China Earthquake Administration, Harbin 150080, P.R. China;
3. College of Civil Engineering, Guilin University of Technology, Guilin, Guangxi 541004, P.R. China;
4. Guangxi Key Laboratory of Geomechanics and Geotechnical Engineering, Guilin University of Technology, Guilin, Guangxi 541004, P.R. China

Received date: 2023-11-10

Online published: 2024-09-04

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Abstract

To investigate the dynamic parameter characteristics of red clay and reveal the probability distribution law of dynamic shear modulus ratio and damping ratio under typical shear strain conditions, taking the red clay in Guangxi province as the research object, 321 groups of basic data of dynamic characteristics test are collected and sorted out, and the test recommended relationship curves of dynamic shear modulus ratio (G/G_max) and damping ratio (λ) with shear strain under typical shear strain conditions are given, and the uncertainty distribution of dynamic modulus damping under different probability levels is analyzed. The upper and lower limit values and fitting formula of G/G_max under different probability levels are given by using the Boltzmann curve. The relationship between dynamic characteristics of red clay and depth and shear strain is preliminarily revealed by comparing with the research results of conventional soils given by predecessors. The results show that the upper and lower limits of the G/G_max and λ of red clay under typical shear strain conditions exhibit a certain pattern with the variation of exceedance probability, and the Boltzmann equation is applicable in mathematical form. When the shear strain is between 1×10^-4 to 1×10^-3, the dispersion degree of dynamic shear modulus ratio and damping ratio reaches the maximum. Under the same shear strain condition, with the increase of exceedance probability, the difference between the upper and lower limits of the G/G_max and λ of red clay significantly increases.

Key words： red clay; probability distribution; dynamic shear modulus ratio; damping ratio; upper and lower limits

Cite this article

Liu Juan , Meng Yunlong , Xu Guodong , Lan Jingyan . Study on Probability Distribution Characteristics of Dynamic Shear Modulus and Damping Ratio of Red Clay[J]. Chinese Journal of Underground Space and Engineering, 2024 , 20(4) : 1108 -1116 . DOI: 10.20174/j.JUSE.2024.04.06

References

[1]Seed H B, Idriss I M. Soil moduli and damping factors for dynamic response analysis [R]. California: University of California, Berkeley, 1970.
[2]Ishibashi I, Zhang X. Unified dynamic shear moduli and damping ratios of sand and clay[J]. Soils and Foundations, 1993, 33(1): 182-191.
[3]Kumar J, Madhusudhan B N. A note on the measurement of travel times using bender and extender elements [J]. Soil Dynamics and Earthquake Engineering, 2010, 30(7): 630-634.
[4]宋晓丽, 张瑾, 张鹏, 等. 含黏粒砂土动力特性试验研究[J]. 地下空间与工程学报, 2020, 16(5): 1383-1390.(Song Xiaoli, Zhang Jin, Zhang Peng, et al. Experimental study on dynamic properties of clayey sand [J]. Chinese Journal of Underground Space and Engineering, 2020, 16(5): 1383-1390. (in Chinese))
[5]Sun J,Golesorkhi R, Seed H B. Dynamic moduli and damping ratios for cohesive soils [R]. California: University of California, Berkeley, 1988.
[6]Vucetic M, Dobry R. Effect of soil plasticity on cyclic response [J]. Journal of Geotechnical Engineering, 1991, 117(1): 89-107.
[7]Kallioglou P, Tika T, Pitilakis K. Shear modulus and damping ratio of cohesive soils [J]. Journal of Earthquake Engineering, 2008, 12: 879-913.
[8]Rollins K M, Evans M D, Diehl N B, et al. Shear modulus and damping relationship for gravels [J]. Journal of Geotechnical and Geoenvironmental Engineering, 1998, 124(5): 396-405.
[9]Kagawa T. Moduli and damping factors of soft Marine clays [J]. Journal of Geotechnical Engineering, 1992, 118(9): 1360-1375.
[10]刘超, 屈俊童, 段自侠, 等. 洱海泥炭质土动剪切模量和阻尼比试验研究[J].地下空间与工程学报, 2021, 17(5): 1479-1485.(Liu Chao, Qu Juntong, Duan Zixia, et al. Experimental study on dynamic shear modulus and damping ratio of remoulded peaty soil in the region of Erhai Lake [J]. Chinese Journal of Underground Space and Engineering, 2021, 17(5): 1479-1485. (in Chinese))
[11]陈国兴,王炳辉, 刘建达. 新近沉积土的动剪切模量和阻尼比试验研究[J].地下空间与工程学报, 2008, 4(3): 539-543.(Chen Guoxing, Wang Binghui, Liu Jianda. Experimental study on dynamic shear modulus and damping ratio of recently deposited soils [J]. Chinese Journal of Underground Space and Engineering, 2008, 4(3): 539-543. (in Chinese))
[12]尹松,张先伟,孔令伟,等. 海洋沉积土动剪切模量与阻尼比的试验研究[J].岩土力学, 2015, 36(增1): 459-464.(Yin Song,Zhang Xianwei, Kong Lingwei, et al. Testing study of dynamic shear modulus and damping ratio of seabed sediment [J]. Rock and Soil Mechanics, 2015, 36(Supp.1): 459-464. (in Chinese))
[13]Electric Power Research Institute. Guidelines for determining design basis ground motions. (EPRI TR-102293)[S]. California: EPRI, 1993.
[14]袁晓铭,孙锐,孙静,等.常规土类动剪切模量比和阻尼比试验研究[J].地震工程与工程振动,2000, 20(4):133-139.(Yuan Xiaoming,Sun Rui, Sun Jing, et al. Laboratory experimental study on dynamic shear modulus ratio and damping ratio of soils [J]. Earthquake Engineering and Engineering Vibration, 2000, 20(4): 133-139. (in Chinese))
[15]龙安发, 陈开圣, 张安轮. 贵阳地区红黏土动力参数计算模型研究[J]. 地震工程学报, 2020, 42(6): 1650-1658.(Long Anfa, Chen Kaisheng, Zhang Anlun. A calculation model of red clay dynamic parameters in the Guiyang area [J]. China Earthquake Engineering Journal, 2020, 42(6): 1650-1658. (in Chinese))
[16]穆锐, 黄质宏, 姚未来, 等. 分级循环荷载下原状红黏土动力特性试验研究[J]. 水文地质工程地质, 2022, 49(3): 94-102.(Mu Rui, Huang Zhihong, Yao Weilai, et al. An experimental study of the dynamic characteristics of the undisturbed laterite under graded cyclic loading [J]. Hydrogeology & Engineering Geology, 2022, 49(3): 94-102. (in Chinese))
[17]孙锐, 陈红娟, 袁晓铭. 土的非线性动剪切模量比和阻尼比不确定性分析[J]. 岩土工程学报, 2010, 32(8): 1228-1235.(Sun Rui, Chen Hongjuan, Yuan Xiaoming. Uncertainty of non-linear dynamic shear modular ratio and damping ratio of soils [J]. Chinese Journal of Geotechnical Engineering, 2010, 32(8): 1228-1235. (in Chinese))
[18]孙锐,袁晓铭,陈红娟.常规土类动剪切模量阻尼比超越概率计算方法[J].西北地震学报,2010,32(8):209-214.(Sun Rui, Yuan Xiaoming, Chen Hongjuan. Calculation method for the exceedance probabilities of dynamic shear modulus ratio and damping ratio of conventional soils [J]. Northwestern Seismological Journal,2010,32(8):209-214. (in Chinese))
[19]袁晓铭,孙锐,陈红娟.不同概率水准下动剪切模量比与阻尼比上、下限的计算[J].岩石力学与工程学报,2010,29(增2):3931-3940. (Yuan Xiaoming, Sun Rui, Chen Hongjuan. Calculation for upper and lower limits of dynamic shear modulus ratio and damping ratio under different probabilities [J]. Chinese Journal of Rock Mechanics and Engineering,2010,29(Supp.2):3931-3940. (in Chinese))
[20]刘之葵, 余佳兴, 郭彤, 等. 桂林红粘土的水土作用效应及其改良[M]. 北京:地质出版社, 2017.(Liu Zhikui, Yu Jiaxing, Guo Tong, et al. Soil and water effects of Guilin red clay and its improvement[M]. Beijing: Geological Publishing House, 2017. (in Chinese))
[21]黄英, 符必昌. 红土化作用及红土的工程地质特性研究[J]. 岩土工程学报, 1998, 20(3): 40-44.(Huang Ying, Fu Bichang. Research on laterization and specific property of laterite in engineering geology [J]. Chinese Journal of Geotechnical Engineering, 1998, 20(3): 40-44. (in Chinese))
[22]周正龙, 丁芷萱, 刘杰, 等. 南海海域饱和粉土动剪切模量和阻尼比试验研究[J]. 土木工程学报, 2022, 55(增1): 227-233.(Zhou Zhenglong, Ding Zhixuan, Liu Jie, et al. Experimental study on dynamic shear modulus and damping ratio characteristics of saturated silt in South China Sea [J]. China Civil Engineering Journal, 2022, 55(Supp.1): 227-233. (in Chinese))

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