边坡勘察钻孔信息价值评价及优化布置方法

胡金政; 张洁; 黄宏伟; 郑建国

doi:10.3799/dqkx.2022.216

边坡勘察钻孔信息价值评价及优化布置方法

doi: 10.3799/dqkx.2022.216

胡金政^{1, 3, ,},
张洁^1, , ,,
黄宏伟¹,
郑建国^{2, 3}

1.
同济大学地下建筑与工程系, 上海 200092
2.
机械工业勘察设计研究院有限公司, 陕西西安 710043
3.
陕西省特殊岩土性质与处理重点实验室, 陕西西安 710043

基金项目:

国家自然科学基金资助项目 42072302

国家自然科学基金资助项目 41672276

详细信息

作者简介:
胡金政(1994-), 男, 博士研究生, 从事岩土工程不确定性研究.ORCID: 0000-0002-6058-8083.E-mail: tjcce_hujz@tongji.edu.cn

通讯作者:
张洁, ORCID: 0000-0001-7528-4077.E-mail: cezhangjie@tongji.edu.cn

中图分类号: P642
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- 文章访问数: 782
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- 被引次数: 0
出版历程
- 收稿日期: 2022-06-28
- 网络出版日期: 2023-06-06
- 刊出日期: 2023-05-25

Value of Information Assessment and Optimization of Slope Boreholes

Hu Jinzheng^{1, 3
,
,},
Zhang Jie^{1
, ,
,},
Huang Hongwei¹,
Zheng Jianguo^{2, 3}

1.
Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China
2.
China Jikan Research Institute of Engineering Investigations and Design Co. Ltd., Xi'an 710043, China
3.
Shaanxi Key Laboratory for the Property and Treatment of Special Soil and Rock, Xi'an 710043, China

摘要

摘要: 为了解决现有边坡勘察试验钻孔布置的优化方法概念复杂、计算量大，需要预先定量估计边坡失稳损失，在实际应用中不方便的问题，利用边坡响应面机器学习模型提出了一种边坡勘察方案的信息价值量化指标，进而给出了边坡钻孔布置方案优化方法.利用边坡部分特征响应面模型建立了安全系数与勘察数据之间的关系.利用随机模拟样本即可实现对边坡勘察钻孔方案的信息价值量化指标计算，分析不同勘察方案时不需要额外重复计算安全系数，大幅提高了分析效率.基于提出的方法，对不排水边坡案例进行了分析，分析结果与文献中相似，算法复杂度和计算量大幅降低.本方法可以快速评价和对比边坡勘察方案的信息价值，进而实现钻孔布置方案优化，具有概念清晰、算法简单、计算方便的特点，计算量也相比传统方法大幅降低，易于工程勘察设计人员接受和采用.
- 边坡安全系数 /
- 钻孔 /
- 空间变异性 /
- 勘察方案优化 /
- 岩土工程 /
- 工程地质
Abstract: The conventional method to optimize the slope investigation program is usually assigned with complicated concept and arduous computational efforts. Also, the quantitative evaluation of slope failure loss is required, which is not convenient in practice. In this paper it aims to solve the above problem with a suggested method based on training of response surface-based machine learning model with incomplete features. The relationship between the factor of safety and the site investigation data is established. Then a prediction function is imported and calibrated with simulated samples. This method adopts the root mean square error of factor of safety as the indicator to assess the effectiveness of slope borehole program. The algorithm is provided and applied in an illustrative example of an undrained slope. The results accord well with those reported in literatures. The suggested method provides an efficient way to assess the effectiveness of site investigation program for slope. It has the characteristics of clear concept, simple algorithm and convenient calculation. Also the computational efforts are greatly reduced. This method will be more acceptable for practitioners.
- safety factor of slope /
- borehole /
- spatial variability /
- optimization of site investigation program /
- geotechnical engineering /
- engineering geology

HTML全文

图 1 参数向量w的取值空间关系

Fig. 1. The relationship of the spaces of the coefficient vector w

下载: 全尺寸图片幻灯片

图 2 生成安全系数训练样本算法流程

Fig. 2. Flow chart for generating training samples of factor of safety

下载: 全尺寸图片幻灯片

图 3 不排水饱和粘土边坡有限差分数值分析模型

Fig. 3. The finite difference model of the undrained-clay slope

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图 4 未经Q₀标准化的信息价值指标

Fig. 4. The unnormalized indicator of the value of information

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图 5 经Q₀标准化后的信息价值指标

Fig. 5. The normalized indicator of the value of information

下载: 全尺寸图片幻灯片

图 6 信息价值指标随钻孔位置的变化

Fig. 6. V(SIP) or V_m(SIP) as a function of borehole location

下载: 全尺寸图片幻灯片

图 7 信息价值指标计算量与文献中指标相比较

Fig. 7. Comparison between the value of information in this paper and indicators in the literatures

下载: 全尺寸图片幻灯片

图 8 两个钻孔时所有的V_m(SIP)数据点

Fig. 8. All points of V_m(SIP) with two boreholes

下载: 全尺寸图片幻灯片

图 9 不同模拟次数N条件下计算的信息价值指标随钻孔位置的变化

Fig. 9. V_m(SIP) as a function of borehole location with various number of simulations N

下载: 全尺寸图片幻灯片

表 1 各方法计算时间对比(使用FLAC3D进行边坡稳定性分析共60个备选勘察方案)

Table 1. Comparison of the time consumption of different methods (analyzing 60 alternatives of site investigation program with FLAC3D)

方法	计算类型	每次计算失效概率的边坡稳定性分析次数	每个勘察方案计算失效概率次数	边坡稳定性分析总次数	总时间估算
传统蒙特卡罗方法	判断是否失稳	10万	200	12亿	约304.4年
Jiang et al. (2020)方法	计算安全系数	至少1 000	200	至少1 200万	至少22.83年
Hu et al. (2021)方法	判断是否失稳	3万	3万	3万	约2.78天
本文方法	计算安全系数	-	-	5 000	约3.47天
注：此处未包含后处理计算信息价值的时间；本文和Hu et al. (2021)方法对不同失效概率、不同勘察方案不需要重复边坡稳定性分析.

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