基于Grasselli形貌参数的岩石节理初始剪胀角新模型

doi:10.13722/j.cnki.jrme.2018.0603

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摘要 G. Grasselli提出的三维形貌参数是描述岩石节理粗糙度的关键指标。首先，将节理峰值抗剪强度公式中的峰值剪胀角分离为初始剪胀角和关系函数，讨论变化的基本规律。然后，对Grasselli视倾角分布函数进行变式并与土壤颗粒分析试验进行类比，揭示参数C的意义及其影响节理峰值抗剪强度的机制，并提出了一个新的初始剪胀角模型。通过大量已发表的数据(共计82组)，计算新初始剪胀角，并和Xia模型、Yang模型进行对比。结果表明，新的初始剪胀角模型和Xia模型、Yang模型计算值较为接近，并且在大多数情况下介于这2种模型之间。最后，基于新的初始剪胀角模型，建立一个新的节理峰值抗剪强度模型，根据G. Grasselli的30组非片麻岩数据，将Grasselli模型、Yang模型、Xia模型、Tatone模型、Tian模型、新模型的峰值抗剪强度预测值分别与实测值进行对比。结果表明各模型预测误差分别为15.8%，11.7%，14.5%，10.0%，9.8%，9.2%，新模型的预测精度最佳。此外，探讨各模型对于片麻岩节理的适用性。新模型对于Grasselli系峰值抗剪强度模型而言是一种有效的改进，可以为相关研究提供参考。

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	陈曦
	曾亚武
	孙翰卿
	刘伟

关键词 ：岩石力学, 岩石节理, 三维形貌, Grasselli视倾角分布函数, 初始剪胀角, 峰值抗剪强度

Abstract：The three-dimensional morphological parameters proposed by G. Grasselli are the key parameters describing the roughness of rock joints. The peak dilatancy angle was divided into the initial dilatancy angle and the relationship function ，and the Grasselli?s distribution function of the apparent dip angle was revised and compared to the cumulative grain size distribution of a soil in geotechnical engineering. By analyzing the Grasselli?s distribution function of the apparent dip angle，the effect of the parameter C on the shear strength of a rock joint was revealed，and a new model of the initial dilatancy angle of rock joints was developed. Comparisons among the new initial dilatancy angle model，Xia?s model and Yang?s model were conducted. The results shows that the initial dilatancy angle calculated by the new model is between those obtained by the other two models in most cases(82 groups in total) and the new model has a good agreement with the other two models. A new peak shear strength model was established based on the new initial dilatancy angle model. Comparisons between Grasselli?s model，Yang?s model，Xia?s model，Tatone?s model，Tian?s model and the developed model with the data of 30 groups rock joints published by G. Grasselli were performed，and the corresponding errors the peak shear strength are respectively 15.8%，11.7%，14.5%，10.0%，9.8% and 9.2%，among which the error calculated by the new model is the smallest. The new model is reasonable for estimating the peak shear strength of rock joints and provides a reference for rock engineering.

Key words： rock mechanics rock joints three-dimensional morphology Grasselli?s distribution function of the apparent dip angle initial dilatancy angle peak shear strength

引用本文:

陈曦，曾亚武，孙翰卿，刘伟. 基于Grasselli形貌参数的岩石节理初始剪胀角新模型[J]. 岩石力学与工程学报, 2019, 38(1): 133-152.
CHEN Xi，ZENG Yawu，SUN Hanqing，LIU Wei. A new model of the initial dilatancy angle of rock joints based on Grasselli′s morphological parameters. , 2019, 38(1): 133-152.

链接本文:

http://www.rockmech.org/CN/10.13722/j.cnki.jrme.2018.0603 或 http://www.rockmech.org/CN/Y2019/V38/I1/133

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