基于Hooke-Jeeves算法的渤海现今应力场优化反演

解秋红, 刘保华, 李西双, 刘晨光, 裴彦良, 华清峰

解秋红, 刘保华, 李西双, 刘晨光, 裴彦良, 华清峰. 基于Hooke-Jeeves算法的渤海现今应力场优化反演[J]. 工程力学, 2012, 29(6): 279-284,299. DOI: 10.6052/j.issn.1000-4750.2010.08.0601
引用本文: 解秋红, 刘保华, 李西双, 刘晨光, 裴彦良, 华清峰. 基于Hooke-Jeeves算法的渤海现今应力场优化反演[J]. 工程力学, 2012, 29(6): 279-284,299. DOI: 10.6052/j.issn.1000-4750.2010.08.0601
XIE Qiu-hong, LIU Bao-hua, LI Xi-shuang, LIU Chen-guang, PEI Yan-liang, HUA Qing-feng. OPTIMIZATION INVERSION OF THE PRESENT GROUND STRESS FIELD OF BOHAI SEA BASED ON HOOKE-JEEVES ALGORITHM[J]. Engineering Mechanics, 2012, 29(6): 279-284,299. DOI: 10.6052/j.issn.1000-4750.2010.08.0601
Citation: XIE Qiu-hong, LIU Bao-hua, LI Xi-shuang, LIU Chen-guang, PEI Yan-liang, HUA Qing-feng. OPTIMIZATION INVERSION OF THE PRESENT GROUND STRESS FIELD OF BOHAI SEA BASED ON HOOKE-JEEVES ALGORITHM[J]. Engineering Mechanics, 2012, 29(6): 279-284,299. DOI: 10.6052/j.issn.1000-4750.2010.08.0601

基于Hooke-Jeeves算法的渤海现今应力场优化反演

基金项目: 国家自然科学基金重点项目(90814011);863 计划海洋技术领域重点项目(2009AA093401);国家自然科学基金项目(40606014)
详细信息
    作者简介:

    解秋红(1982―),女,山东即墨人,博士生,主要从事海洋地球物理和海底构造等方面的研究(E-mail: xqh@fio.org.cn);
    李西双(1976―),男,山东嘉祥人,副研究员,博士,主要从事海洋地球物理和海底构造等方面的研究(E-mail: lxs@fio.org.cn);
    刘晨光(1976―),男,河北定兴人,助理研究员,硕士,主要从事海洋地球物理调查和研究(E-mail: lcg@fio.org.cn);
    裴彦良(1977―),男,河北廊坊人,助理研究员,硕士,主要从事海洋地球物理方面研究(E-mail: peiyanliang@fio.org.cn);
    华清峰(1981―),男,山东章丘人,助理研究员,硕士,主要从事海洋地球物理方面研究(E-mail: hqf@fio.org.cn).

    通讯作者:

    刘保华(1960―),男,山东嘉祥人,研究员,博士,博导,主要从事海洋地球物理调查和研究(E-mail: bhliu@fio.org.cn).

  • 中图分类号: P553; P554

OPTIMIZATION INVERSION OF THE PRESENT GROUND STRESS FIELD OF BOHAI SEA BASED ON HOOKE-JEEVES ALGORITHM

  • 摘要: 在分析渤海构造演化背景和地质构造特征的基础上,根据区域内已有测点的地应力资料,建立渤海三维应力场优化反演分析模型。通过由有限元法得到的测点处应力值大小及方向与现场实际数据的比较,构建误差函数作为优化目标函数,采用Hooke-Jeeves优化算法与有限元计算相结合的方法进行优化反演分析,将ANSYS有限元程序作为一个计算模块并通过Matlab 实现其批处理模式下的循环调用,完成优化反演计算过程,得到了渤海浅部的现今应力场分布规律。优化结果分析表明,该文方法可以通过较少的测点数据优化反演得到较合理的构造应力分布,能够为进一步研究渤海海域现今构造活动提供一定参考。
    Abstract: An optimization inversion model of 3D ground stress field of the Bohai Sea was established based on the in-situ stress data from the existing measuring points in the study area and the analyses of tectonic evolution background and characteristics of Bohai Sea. By comparing the stress values and directions obtained at measuring points by means of finite element method with the in-situ measured data, an error function was established and taken as the optimization object function. The optimization inversion analysis was carried out by combining the Hooke-Jeeves optimization algorithm and the finite element method. The optimization inversion calculation process was completed by taking the finite element analysis program ANSYS as a calculation module and calling circularly the batch model through the Matlab platform, thus obtaining the distribution law of the present shallow ground stress field in Bohai Sea. The research results have shown that the method presented in the paper can be used to inverse a more reasonable stress field distribution by using the data from less measuring points, thus offering a reference for further study of the tectonic activity in Bohai Sea.
  • [1] 陈晓利, 陈国光, 叶洪. 渤海海域现代应力场的数值 模拟[J]. 地震地质, 2005, 27(2): 289―297. Chen Xiaoli, Chen Guoguang, Ye Hong. A mathematical simulation for the tectonic stress field of the Bohai Sea area [J]. Seismology and Geology, 2005, 27(2): 289― 297. (in Chinese)
    [2] 陈国光, 徐杰, 马宗晋, 等. 渤海盆地现代应力场与强 震活动[J]. 地震学报, 2004, 26(4): 396―403. Chen Guoguang, Xu Jie, Ma Zongjin, et al. Recent tectonic stress field and major earthquakes of the Bohai Sea basin [J]. Acta Seismologica Sinica, 2004, 26(4): 396―403. (in Chinese)
    [3] 刘聪, 黄晓波, 樊太亮, 等. 塔中地区奥陶系现今应力 场模拟及裂缝预测[J].新疆石油地质, 2008, 29(4): 475―477. Liu Cong, Huang Xiaobo, Fan Tailiang, et al. The simulation of present tectonic stress field and the prediction of tectonic fractures of ordovician in Tazhong area, tarim basin [J]. Xinjiang Petroleum Geology, 2008, 29(4): 475―477. (in Chinese)
    [4] 陈志德, 蒙启安, 万天丰, 等. 松辽盆地古龙凹陷应力 场弹塑性增量法数值模拟[J]. 地学前缘, 2002, 9(2): 483―491. Chen Zhide, Meng Qi’an, Wan Tianfeng, et al. Numerical simulation of tectonic stress field in Gulong depression in Songliao basin using elastic-plastic increment method [J]. Earth Science Foresters, 2002, 9(2): 483―491. (in Chinese)
    [5] 陈书平, 戴俊生, 宋全友, 等. 胶莱盆地应力场特征及 数学模拟[J]. 石油大学学报, 1998, 22(3): 19―25. Chen Shuping, Dai Junsheng, Song Quanyou, et al. Features of tectonic stress fields in Jiaolai basin [J]. Journal of China University of Petroleum, 1998, 22(3): 19―25. (in Chinese)
    [6] 付玉华, 王兴明, 袁海平. 应力场边界载荷反演的有 限元逆逼近法[J]. 岩土力学, 2009, 30(6): 1850―1855. Fu Yuhua, Wang Xingming, Yuan Haiping. Finite element inverse analysis of boundary load for tectonic stress fields [J]. Rock and Soil Mechanics, 2009, 30(6): 1850―1855. (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 Mingwei, Li Chunguang, Wang Shuilin, et al. Study on inverse analysis of 3-D initial geo-stress field with optimized displacement boundaries [J]. Rock and SoilMechanics, 2008, 29(5): l269―1274. (in Chinese)
    [8] Hooke R, Jeeves T A. Direct search solution of numerical and statistical problems [J]. Journal of the Association for Computing Machinery, 1961, 8(2): 221―229.
    [9] Ye Hong, Zhang Botao, Mao Fungying. The cenozoic tectonic evolution of the Great North China: Two types of rifting and crustal necking in the Great North China and their tectonic implications [J]. Tectonophysics, 1987, 133: 217―227.  
    [10] 李延兴, 马宗晋, 张静华, 等. 渤海盆地的现今扩张运 动[J]. 地球物理学报, 2009, 52(6): 1483―1489. Li Yanxing, Ma Zongjin, Zhang Jinghua, et al. Current-day extending motion of Bohai Basin [J]. Chinese Journal of Geophysics, 2009, 52(6): 1483― 1489. (in Chinese)
    [11] 张静华, 李延兴, 郭良迁, 等. 用GPS测量结果研究华 北现今构造形变场[J]. 大地测量与地球动力学, 2004, 24(3): 40―46. Zhang Jinghua, Li Yanxing, Guo Liangqian, et al. Study on present-day deformation and strain field in North China by use of GPS data [J]. Journal of Geodesy and Geodynamics, 2004, 24(3): 40―46. (in Chinese)
    [12] 郑勇, 傅容珊, 熊熊. 中国大陆及周边地区现代岩石 圈演化动力学模拟[J]. 地球物理学报, 2006, 49(2): 415―427. Zheng Yong, Fu Rongshan, Xiong Xiong. Dynamic simulation of lithospheric evolution from the modern China mainland and its surrounding areas [J]. Chinese Journal of Geophysics, 2006, 49(2): 415―427. (in Chinese)
    [13] 万天丰. 中国第四纪的构造事件与应力场[J]. 第四纪 研究, 1994, 14(1): 48―55. Wan Tianfeng. Tectonic event and stress field of quaternary in China [J]. Quaternary Sciences, 1994, 14(1): 48―55. (in Chinese)
    [14] 丁旭初, 张文涛. 中国大陆东部现今构造应力状态[J]. 地震学报, 1988, 10(2): 25―39. Ding Xuchu, Zhang Wentao. State of modern tectonic stress field in East China mainland [J]. Acta Seismologica Sinica, 1988, 10(2): 25―39. (in Chinese)
    [15] Wan Yusun, Yuan Yaxiang. Optimization theory and methods: Nonlinear programming [M]. New York: Springer, 2006: 455―490.
    [16] 苗胜军, 万林海, 来兴平, 等. 三山岛金矿地应力场与 地质构造关系分析[J]. 岩石力学与工程学报, 2004, 23(23): 3996―3999. Miao Shengjun, Wan Linhai, Lai Xingping, et al. Relation analysis between in-situ stress field and geological tectonism in Sanshandao gold mine [J]. Chinese Journal of Rock Mechanics and Engineering, 2004, 23(23): 3996―3999. (in Chinese)
    [17] 李方全, 刘光勋. 我国现今地应力状态及有关问题[J]. 地震学报, 1986, 8(2): 156―171. Li Fangquan, Liu Guangxun. The present state of stress in China and related problems [J]. Acta Seismologica Sinica, 1986, 8(2): 156―171. (in Chinese)
    [18] 陈彭年, 陈宏德, 高莉青. 世界地应力实测资料汇编[M]. 北京: 地震出版社, 1990: 1―40. Chen Pengnian, Chen Hongde, Gao Liqing. Assembly of in-situ stress in world [M]. Beijing: Earthquake Press, 1990: 1―40. (in Chinese)
    [19] 王红才, 孙东生, 王连捷, 等. 利津油田现代地应力测 量及其应用[C]. 第七届全国地质力学学术研讨会, 2006: 277―280. Wang Hongcai, Sun Dongsheng, Wang Lianjie, et al. Measure and application of modern in-situ stress in Li-jin oil field [C]. 7th National Geomechanic Symposium, 2006: 277―280. (in Chinese)
    [20] 董旭光, 周翠英, 华爱军. 渤海海峡及邻区现代小震 震源机制解分析[J]. 内陆地震, 1999, 13(1): 7―16. Dong Xuguang, Zhou Cuiying, Hua Aijun. The analysis on focal mechanism solutions of recent minor earthquakes in Bohai Straits and its vicinity [J]. Inland Earthquake, 1999, 13(1): 7―16. (in Chinese)
    [21] 董旭光, 周翠英. 燕山-渤海地震带的现今构造应力环 境[J]. 华南地震, 2000, 20(1): 16―23. Dong Xuguang, Zhou Cuiying. Circumstance of recent tectonic stress of Yanshan-Bohai seismic zone [J]. South China Journal of Seismology, 2000, 20(1): 16―23. (in Chinese)
    [22] 李延兴, 徐杰, 张静华, 等. 渤海盆地及邻区现今构造 运动的基本特征[J]. 大地测量与地球动力学, 2007, 27(6): 1―8. Li Yanxing, Xu Jie, Zhang Jinghua, et al. Basic characteristics of present-day tectonic movement in Bohai basin and its adjacent areas [J]. Journal of Geodesy and Geodynamics, 2007, 27(6): 1―8. (in Chinese)
    [23] 李瑞莎, 崔效锋, 刁桂苓, 等. 华北北部地区现今应力 场时空变化特征研究[J]. 地震学报, 2008, 30(6): 570― 580. Li Ruisha, Cui Xiaofeng, Diao Guiling, et al. Temporal and spatial variation of the present crustal stress in northern part of North China [J]. Acta Seismologica Sinica, 2008, 30(6): 570―580. (in Chinese)
    [24] 刘峡, 傅容珊, 杨国华, 等. 用GPS资料研究华北地区 形变场和构造应力场[J]. 大地测量与地球动力学, 2006, 26(3): 33―39. Liu Xia, Fu Rongshan, Yang Guohua, et al. Deformation field and tectonic stress field constrained by GPS observations in North China [J]. Journal of Geodesy and Geodynamics, 2006, 26(3): 33―39. (in Chinese)
    [25] 冯向东, 魏东平, 陈棋福. 基于观测应力场的大华北 地区动力学机制探讨[J]. 地震学报, 2005, 27(1): 1―10. Feng Xiangdong, Wei Dongping, Chen Qifu. Discussion on the dynamic mechanism of Great North China area based on the observed stress data [J]. Acta Seismologica Sinica, 2005, 27(1): 1―10. (in Chinese)
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出版历程
  • 收稿日期:  2010-08-22
  • 修回日期:  2010-11-16
  • 刊出日期:  2012-06-23

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