基于FLAC<sup>3D</sup>改进的初始地应力场回归方法

郭运华; 朱维申; 李新平; 贾超; 李勇

doi:10.11779/CJGE201405012

基于FLAC^3D改进的初始地应力场回归方法 English Version

郭运华^{1, 2},
朱维申¹,
李新平²,
贾超³,
李勇¹

1. 山东大学岩土与结构工程中心,山东济南 250061; 2. 武汉理工大学道路桥梁与结构工程湖北省重点实验室,湖北武汉430070; 3. 山东大学土建与水利学院,山东济南 250061

基金项目: 国家自然科学基金项目（41072234, 51274157）; 国家自然科学青年基金项目（51109123）; 道路桥梁与结构工程湖北省重点实验室开放基金项目（DQJJ201304）; 山东省优秀中青年科学家科研奖励基金项目（BS2012NJ006）

详细信息

作者简介:
郭运华（1974- ）,男,讲师,主要从事岩土工程数值计算、岩土工程安全监测技术方面的工作。E-mail: guoyunhua888@qq.com。

中图分类号: TU459；P642.3
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出版历程
- 收稿日期: 2013-08-28
- 发布日期: 2014-05-20

Improved regression method for initial geostress based on FLAC^3D

1. Geotechnical and Structural Engineering Research Center, Shandong University, Ji'nan 250061, China; 2. Hubei Key Laboratory of Roadway Bridge & Structure Engineering, Wuhan University of Technology, Wuhan 430070, China; 3. School of Civil and Hydraulic Engineering, Shandong University, Ji'nan 250061, China

摘要

摘要: 为提高地应力反演的精度,提出了FLAC^3D中利用偏最小二乘回归方法拟合地应力场及将地应力场精确加载至计算模型并实现平衡的方法,首先对各应力分量分别进行回归,以提高局部异常应力区域的拟合精度。然后依据FLAC^3D的计算原理,分析了单元应力与节点不平衡力的关系,将回归所得的单元初始地应力加载至模型并计算节点不平衡力,在节点施加与不平衡力反向的节点荷载,实现力的平衡,完成地应力场的加载。当采用弹塑性模型时,假定平均应力不变,根据屈服条件修正偏应力大小,对不满足强度条件的单元地应力进行修正,以满足弹性假设条件,修正后的单元地应力满足平衡条件及强度条件,并能精确满足地应力场回归估计值,接着介绍了一种将模型单元地应力张量表示成各单元坐标的函数,通过求取插值函数获得任意坐标的地应力张量的三维超曲面样条插值方法。最后以工程实例证实,改进方法可以有效提高局部地应力异常区域的拟合精度,解决了边界应力奇异分布的问题。
- 地应力反演 /
- 偏最小二乘回归 /
- 数值计算 /
- FLAC3D
Abstract: A method for back analysis of the initial geostress is discussed. The fitting accuracy is improved remarkably by regressing each stress component respectively and using the partial least squares regression method. By loading the regression results of in-situ stress component to model elements, the relationship between the element stress and node unbalanced force is analyzed on the basis of the principle of FLAC^3D. An external force equal to the reverse force of the node unbalance force can be calculated, which can be loaded on the nodes to satisfy the equilibrium conditions. For the elements that dissatisfy the strength conditions, the stress is modified to satisfy the strength conditions by assuming the average stress invariant and reducing the partial stress. This step has also solved the unreasonable distribution of the boundary nodal forces. The modified stress field satisfies the equilibrium conditions and regression value as well. A three-dimensional hypersurface spline interpolation method is developed to calculate the stress tensor at any point. Finally,an engineering example shows that the proposed method improves the fitting precision of local stress at abnormal area.
- back analysis of in-situ stress /
- partial least squares regression /
- numerical analysis /
- FLAC3D

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参考文献(19)

[1]	郭怀志, 马启超, 薛玺成, 等. 岩体初始应力场的分析方法[J]. 岩土工程学报, 1983, 5(3): 64-75. (GUO Huai-zhi, MA Qi-chao, XUE Xi-cheng, et al. The analytical method of the initial stress field for rock masses[J]. Chinese Journal of Geotechnical Engineering, 1983, 5(3): 64-75. (in Chinese))
[2]	杨林德, 黄伟, 王聿. 初始地应力位移反分析计算的有限单元法[J]. 同济大学学报, 1985(4): 69-77. (YANG Lin-de, HUANG Wei, WANG Yu. The finite element method for determining the initial stress by displacements in surrounding rock[J]. Journal of Tongji University, 1985(4): 69-76. (in Chinese))
[3]	梁远文, 林红梅, 潘文彬. 基于BP神经网络的三维地应力场反演分析[J]. 广西水利水电, 2004(4): 5-8. (LIANG Yuan-wen, LIN Hong-mei, PAN Wen-bin. Three-dimensional inversion analysis of ground stress field based on bp neural network[J]. Guangxi Water Resources & Hydropower Engineering, 2004(4): 5-8. (in Chinese))
[4]	马震岳, 金长宇, 张运良. 基于FLAC及神经网络的初始地应力场反演[J]. 水电能源科学, 2005, 23(3): 44-45. (MA Zhen-yue, JIN Chang-yu, ZHANG Yun-liang. Analytical method of the initial stress field based on flac and neural network[J]. Water Resources and Power, 2005, 23(3): 44-45. (in Chinese))
[5]	杨志双, 潘懋. 基于遗传算法(GA)的地应力有限元反演研究[J]. 水文地质工程地质, 2006(2): 80-83. (YANG Zhi-shuang, PAN Mao. Study on back analysis of earth stress by finite element method based on genetic algorithm (GA)[J]. Hydrogeology & Engineering Geology, 2006(2): 80-83. (in Chinese))
[6]	石敦敦, 傅永华, 朱暾, 等. 人工神经网络结合遗传算法反演岩体初始地应力的研究[J]. 武汉大学学报(工学版), 2005, 38(2): 73-76. (SHI Dun-dun, FU Yong-hua, ZHU tun, et al. The combination of artificial neural network and genetic algorithm applied to inversion analysis of initial stress fields in rock masses[J]. Engineering Journal of Wuhan University 2005, 38(2): 73-76. (in Chinese))
[7]	郭明伟, 李春光, 王水林, 等. 优化位移边界反演三维初始地应力场的研究[J]. 岩土力学, 2008, 29(5): 1269-1274. (GUO Ming-wei, LI Chun-guang, WANG Shui-lin, et al. Study on inverse analysis of 3-D initial geostress field with optimized displacement boundaries[J]. Jock and Soil Mechanics, 2008, 29(5): 1269-1274. (in Chinese))
[8]	闫相祯, 王保辉, 杨秀娟, 等. 确定地应力场边界载荷的有限元优化方法研究[J]. 岩土工程学报, 2010, 32(10): 1485-1490. (YAN Xiang-zhen, WANG Bao-hui, YANG Xiu-juan, et al. Finite element optimization method of boundary load of in-situ stress field[J]. Chinese Journal of Geotechnical Engineering, 2010, 32(10): 1485-1490. (in Chinese))
[9]	姚瑞, 杨树新, 陆远忠, 等. 在地应力测量中准确求解最大、最小水平应力问题的探讨[J]. 岩土工程学报, 2012, 34(2): 317-325. (YAO Rui, YANG Shu-xin, LU Yuan-zhong, et al. Computing maximum and minimum horizontal stresses in in-situ stress measurements[J]. Chinese Journal of Geotechnical Engineering, 2012, 34(2): 317-325. (in Chinese))
[10]	王成虎, 张彦山, 郭啟良, 等. 工程区地应力场的综合分析法研究[J]. 岩土工程学报, 2011, 32(10): 1562-1568. (WANG Cheng-hu, ZHANG Yan-shan, GUO Qi-liang, et al. New integrated analysis method to analyze stress regime of engineering area[J]. Chinese Journal of Geotechnical Engineering, 2011, 32(10): 1562-1568. (in Chinese))
[11]	徐磊. 一种实现复杂初始地应力场精确平衡的通用方法[J]. 三峡大学学报(自然科学版), 2012, 34(3): 30-33. (XU Lei. A general method for the accurate equilibrium of complex initial in-situ stress field[J]. Journal of China Three Gorges University (Natural Sciences), 2012, 34(3): 30-33. (in Chinese))
[12]	杨强, 刘福深, 任继承. 三维初始地应力场的多尺度弹塑性校正[J]. 水力发电学报, 2007, 26(6): 24-29. (YANG Qiang, LUI Fu-shen, REN Ji-cheng. Multi-scale elasto-plastic calibration of the regression analysis of 3D initial crustal stress field[J]. Journal of Hydroelectric Engineering, 2007, 26(6): 24-29. (in Chinese))
[13]	张建国, 张强勇, 杨文东, 等. 大岗山水电站坝区初始地应力场反演分析[J]. 岩土力学, 2009, 30(10). (ZHANG Jian-guo, ZHANG Qiang-yong, YANG Wen-dong, et al. Regression analysis of initial geostress field in dam zone of dagangshan hydropower station[J]. Rock and Soil Mechanics, 2009, 30(10): 3071-3078. (in Chinese))
[14]	莫海鸿. 某地下厂房初始地应力场的反演分析[J]. 华南理工大学学报(自然科学版), 1995, 23(1): 159-164. (MO Hai-hong. Back analysis of initial geostess field of an underground workshop[J]. Journal of South China University of Technology (Natural Science), 1995, 23(1): 159-164. (in Chinese))
[15]	佘成学, 熊文林, 陈胜宏. 边坡初始地应力场的应力函数与有限元联合反演法[J]. 武汉水利电力大学学报, 1995, 28(4): 366-371. (SHE Cheng-xue, XIONG Wen-ling, CHEN Sheng-hong. A united inversion of the stress function and the fem methods for initial geostress field in rock slope[J]. Journal of Wuhan University of Hydraulic and Electric Engineering, 1995, 28(4): 366-371. (in Chinese))
[16]	付成华, 汪卫明, 陈胜宏. 溪洛渡水电站坝区初始地应力场反演分析研究[J]. 岩石力学与工程学报, 2006, 25(11): 2305-2312. (FU Cheng-hua, WANG Wei-ming, CHEN Sheng-hong. Back analysis study on initial geostress field of dam site for Xiluodu hydropower project[J]. Chinese Journal of Rock Mechanics and Engineering, 2006, 25(11): 2305-2312. (in Chinese))
[17]	张延新, 宋常胜, 蔡美峰, 等. 深孔水压致裂地应力测量及应力场反演分析[J]. 岩石力学与工程学报, 2010, 29(4): 778-786. (ZHANG Yan-xin, SONG Chang-sheng, CAI Mei-feng, et al. Geostress measurements by hydraulic fracturing method at great depth of boreholes and numerical modelling predictions of stress field[J]. Chinese Journal of Rock Mechanics and Engineering, 2010, 29(4): 778-786. (in Chinese))
[18]	谢红强, 何江达, 肖明砾. 大型水电站厂区三维地应力场回归反演分析[J]. 岩土力学, 2009, 30(8): 2471-2476. (XIE Hong-qiang, HE Jiang-da, XIAO Ming-li. Regression analysis of 3D initial geostress in region of underground powerhouse for large hydropower station[J]. Rock and Soil Mechanics, 2009, 30(8): 2471-2476. (in Chinese))
[19]	王成虎, 郭啟良, 侯砚和, 等. 地下水封油库场址地应力场及工程稳定性分析研究[J]. 岩土工程学报, 2010, 32(5): 698-705. (WANG Cheng-hu, GUO Qi-liang, HOU Yan-he, et al. In-situ stress field and project stability of underground water-sealed oil depots[J]. Chinese Journal of Geotechnical Engineering, 2010, 32(5): 698-705. (in Chinese))