A modified linear regression method to estimate shear strength parameters

CHEN Li-hong; CHEN Zu-yu; LI Guang-xin

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A modified linear regression method to estimate shear strength parameters

更新时间：2026-06-25

- A modified linear regression method to estimate shear strength parameters
- Vol. 28, Issue 7, (2007)
- 作者机构：
  
  1. 北京交通大学土木建筑工程学院,北京,100044
  2. 中国水利水电科学研究院,北京,100044
  3. 清华大学水利水电工程系,北京,100084
- 作者简介：
- 基金信息：
- DOI：
  CLC： O242.1
- Online First：13 September 2013，
  
  Published：2007
- 稿件说明：
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CHEN Li-hong, CHEN Zu-yu, LI Guang-xin. A modified linear regression method to estimate shear strength parameters[J]. 2007, 28(7).
DOI：

CHEN Li-hong, CHEN Zu-yu, LI Guang-xin. A modified linear regression method to estimate shear strength parameters[J]. 2007, 28(7). DOI：

摘要

准确计算土体抗剪强度指标的大小对于评估岩土工程的安全性和经济性有十分重要的意义。目前常用线性回归方法来统计抗剪强度指标。通过研究发现，目前使用的线性回归方法在样本容量增加时，得到的标准差和变异系数会随之变小，当样本容量趋于无穷时，计算值会趋于0。因此，现有方法无法反映抗剪强度指标真实的变异性，统计得到的抗剪强度指标可能不准确。对一简单算例以及小浪底心墙防渗料的64组320个三轴试验成果统计验证了这一问题。本文以概率论为基础，提出了考虑因变量变异性的改进加权线性回归方法，其计算结果是稳定的，不随样本容量而变化。使用改进后的方法对算例和小浪底心墙防渗料的抗剪强度指标重新进行了统计，其结果与矩法十分接近，证实了改进方法的正确性和实用性。

Abstract

Shear strength parameters are important factors to evaluate the stability and economical efficiency of a geotechnical project. The most effective and mainly used method to estimate the shear strength parameters is linear regression. When this method is applied to calculate the shear strength parameters of core clay in Xiaolangdi dam with 320 triaxial tests

the results have shown that the standard deviation and coefficient of variation decrease when the number of sample increases. The theory analysis also revealed this trend. So the conventional linear regression method cannot reflect the real variation character of shear strength parameters. A modified weighting linear regression method whose results are stable and do not vary with the sample size

is developed based on the probability theory. The modified method is applied to calculate the shear strength parameters of core clay of Xiaolangdi dam; and the results are compared with the outcome obtained from the moment method

which verifies the validity and practicability of the new method.

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