砂土粉土混合物最大最小孔隙比之模擬

Modelling of Maximum and Minimum Void Ratio for Sand-Silt Mixtures

王嘉驛(Jia-Yi Wang)

指導教授 ： 葛宇甯

國立臺灣大學/工學院/土木工程學研究所/碩士(2015年)

https://doi.org/10.6342/NTU.2015.00497

摘要

在大地工程中，最大與最小孔隙比是一個非常重要的土壤性質。土壤的體積變化趨勢、孔隙水傳導率以及土壤的抗剪強度都與其有關。
然而，通過試驗方法所得到之最大與最小孔隙比通常十分繁雜。土壤混合物的最大與最小孔隙比通常是根據經驗法來判斷，例如：AASHTO粗顆粒校正法。
在本研究中會提出一數學模型，以預測任何配比下砂土與粉土混合物的最大與最小孔隙比。為了考慮主導結構顆粒的影響因素，此模型引入兩個係數來進行優化。這兩個係數與砂土粉土混合物中的兩種顆粒大小和形狀有關。本研究從前人文獻選取31組土壤混合物的最小孔隙比和27組土壤混合物的最大孔隙比的實驗數據，將實驗數據和數值結果進行比對，以驗證模型的可行性與正確性。

關鍵字

最大孔隙比 ； 最小孔隙比 ； 砂土粉土混合物 ； 細粒料含量

並列摘要

Minimum or maximum void ratio is an important soil property in geotechnical engineering. It correlates to the volume change tendency, the pore fluid conductivity and the shear strength of the soil.
However, it is commonly troublesome to acquire minimum and maximum void ratio by experiments. The minimum and maximum void ratio for soil mixtures are usually estimated by methods based on, to some extent, the empirical approach, for example the AASHTO coarse particles correction method.
In this thesis, a mathematical model is developed to predict the minimum and maximum void ratio for sand-silt mixtures with any amount of fines content based on a more fundamental approach. Taking the dominant particle network into consideration, the model is further improved by two coefficients which describe the sizes and shapes of two component particles in sand-silt mixtures. The model is evaluated by the experiment results of minimum and maximum void ratio on about 30 types of soil mixtures of sands (Ottawa sand, Nevada sand, Toyoura sand, Hokksund sand, etc.), and silts (ATC silt, Nevada fines, crushed silica fines, grind Toyoura fines, etc.) available in the literature. Comparison between the model and the experiment results is presented and discussed.

並列關鍵字

maximum void ratio ； minimum void ratio ； sand-silt mixtures ； fines content

參考文獻

Mulilis, J. P., Seed, H. B., Chan, C. K., Mitchell, J. K., and Arulanandan, K. (1977). “Effect of sample preparation on soil liquefaction.” Journal of Geotechnical Engineering Division, Vol. 103, No. GT2, 91-108.

AASHTO (1986) “Correction for coarse particles in the soil compaction test,” AASHTO Designation: T224-86, 840-845.

Aberg, B. (1992) “Void ratio of noncohesive soils and similar materials.” ASCE Journal of Geotechnical Engineering, 118(9), 1315-1334.

Ben Aim, R. and Le Goff, P. (1967). “Effect de Paroi Dans Les Empilements Desordonnes de Spheres et Application aa La Porosite de Melanges Binaires.” Powder Technology, 1, 281-290.

Bobei, D. C., Lo, S. R., Wanatowski, D., Gnanendran, C. T., and Rahman, M. M. (2009). "A modified state parameter for characterizing static liquefaction of sand with fines." Canadian Geotechnical Journal, 46(3), 281-295.