基于GGSO和有限元的土坡稳定性计算研究
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摘要
针对传统土坡稳定性系数试算过于粗糙、未考虑岩土体应力应变特征的不足等问题,以提出一种更为合理的边坡稳定性计算方法为目标,对标准的萤火虫算法(Glowworm Swarm Optimization,GSO)进行改进,加入高斯白噪声扰动策略,增强了算法的全局寻优能力,提出一种改进萤火虫算法(Gauss Glowworm Swarm Optimization,GGSO)。通过标准函数测试表明了新方法的有效性。三个标准函数的测试结果显示:GGSO的寻优效果较GSO大幅度提升;通过有限元应力法计算土坡稳定性系数,并以圆心和半径为自变量,将边坡稳定性计算转化为一个完备的数学优化问题,该优化问题可通过GGSO求解。通过均质土坡和非均质土坡算例验证提出方法的有效性,结果表明:提出的边坡稳定性计算方法能够获得合理的边坡稳定性系数值。最后将提出的边坡稳定性计算方法用于许卡滑坡土质边坡的稳定性计算之中。研究成果对土坡稳定性分析具有一定的参考价值。
Aiming at the problems of too rough trial calculation,out of consideration of the insufficient stress-strain property of rock and earth mass,etc. and targeting at putting a more reasonable calculation method of slope stability forward,the standard Glowworm Swarm Optimization algorithm( GSO) is improved herein by adding Gauss white noise disturbance strategy,from which the global optimization ability of the algorithm is enhanced and then an improved Glowworm Swarm Optimization algorithm( GGSO) is proposed as well. Moreover,the effectiveness of the new method is demonstrated through the testing of standard function. The testing results of three standard functions show that the optimization effect of GGSO is much better than that of GSO.Through calculating the stability coefficient of earth slope with the finite element stress method and taking circle center radius as independent variables,the slope stability calculation is transformed into a complete mathematical optimization problem which can be solved by GGSO. The effectiveness of the proposed method is verified by the relevant calculations made on homogeneous earthslope and heterogeneous earth slope; from which the result shows that reasonable value of the slope stability coefficient can be obtained by the proposed method. Finally,the method proposed herein is applied to the stability calculation of the earth slope of Xuka Landslide. The study result has a certain referential value for the analysis on the stability of earth slope.
Aiming at the problems of too rough trial calculation,out of consideration of the insufficient stress-strain property of rock and earth mass,etc. and targeting at putting a more reasonable calculation method of slope stability forward,the standard Glowworm Swarm Optimization algorithm( GSO) is improved herein by adding Gauss white noise disturbance strategy,from which the global optimization ability of the algorithm is enhanced and then an improved Glowworm Swarm Optimization algorithm( GGSO) is proposed as well. Moreover,the effectiveness of the new method is demonstrated through the testing of standard function. The testing results of three standard functions show that the optimization effect of GGSO is much better than that of GSO.Through calculating the stability coefficient of earth slope with the finite element stress method and taking circle center radius as independent variables,the slope stability calculation is transformed into a complete mathematical optimization problem which can be solved by GGSO. The effectiveness of the proposed method is verified by the relevant calculations made on homogeneous earthslope and heterogeneous earth slope; from which the result shows that reasonable value of the slope stability coefficient can be obtained by the proposed method. Finally,the method proposed herein is applied to the stability calculation of the earth slope of Xuka Landslide. The study result has a certain referential value for the analysis on the stability of earth slope.
引文
[1]陈祖煜.土质边坡稳定分析:原理·方法·程序[M].北京:中国水利水电出版社,2003.
[2]陈祖煜,邵长明.最优化方法在确定边坡最小安全系数方面的应用[J].岩土工程学报,1988,10(4):1-13.
[3]弥宏亮,陈祖煜.遗传算法在确定边坡稳定最小安全系数中的应用[J].岩土工程学报,2003,25(6):671-675.
[4]李守巨,刘迎曦,何翔,等.基于模拟退火算法的边坡最小安全系数全局搜索方法[J].岩石力学与工程学报,2003,22(2):236-240.
[5]陆峰,陈祖煜,李素梅.应用遗传算法搜索边坡最小安全系数的研究[J].中国水利水电科学研究院学报,2003,1(3):236-239.
[6]金亮星,冯琦璇,潘卓夫.基于Morgenstern-Price法和改进径向移动算法的边坡稳定性分析[J].中国公路学报,2018,31(2):39-47.
[7]蒲小武,王兰民,吴志坚,等.兰州丘陵沟壑区挖方黄土高边坡面临的工程地质问题及稳定性分析[J].地震工程学报,2016,38(5):787-794.
[8]苏永华,赵明华,邹志鹏,等.边坡稳定性分析的Sarma模式及其可靠度计算方法[J].水利学报,2006(4):457-463.
[9] CHANDRASEKARAN S S,OWAISE R S,Ashwin S,et al. Investi-gation on infrastructural damages by rainfall-induced landslides dur-ing November 2009 in Nilgiris,India[J]. Natural Hazards,2013,65(3):1535-1557.
[10] SIMETRA D. Limit equilibrium slope stability analysis using rigid fi-nite elements[J]. Canadian Geotechnical Journal,2008,45(5):653-662.
[11] CHOI S H,KIM J M,KIM Y S. A study on the estimation of slopestability under the Influence of the vertical direction seismic coeffi-cient using lower bound analysis[J]. Journal of Applied PolymerScience,2012,28(12):1245-1251.
[12] GOKTEPE F,KESKIN I. A comparison study between traditionaland finite element methods for slope stability evaluations[J]. Journalof the Geological Society of India,2018,91(3):373-379.
[13] ISAKOV A,MORYACHKOV Y. Estimation of slope stability usingtwo-parameter criterion of stability[J]. International Journal of Geo-mechanics,2014,14(3):613-624.
[14] KRISHNANAND K N D,GHOSE D. Glowworm swarm optimiza-tion:new method for optimizing multi-modal functions[J]. Compu-tational Intelligence Studies,2009,1(1):93-119.
[15]赵学锋.基于GSO算法的最小连通支配集问题求解[J].计算机工程,2013,39(2):99-102.
[16]唐少虎,刘小明.基于IAGSO算法的VISSIM模型校正研究与实现[J].交通运输系统工程与信息,2014(5):74-80.
[17]蔡德钩,黄帅,闫宏业,等.地下水位上升对边坡稳定性影响的拟静力分析[J].铁道建筑,2015(1):56-62.
[18]郑颖人,赵尚毅.用有限元法求边坡稳定安全系数[J].公路交通技术,2002(1):7-9.
[19]郑宏,田斌,刘德富,等.关于有限元边坡稳定性分析中安全系数的定义问题[J].岩石力学与工程学报,2005,24(13):2225-2230.
[20]李亮.智能优化算法在土坡稳定分析中的应用[D].大连:大连理工大学,2006.
[2]陈祖煜,邵长明.最优化方法在确定边坡最小安全系数方面的应用[J].岩土工程学报,1988,10(4):1-13.
[3]弥宏亮,陈祖煜.遗传算法在确定边坡稳定最小安全系数中的应用[J].岩土工程学报,2003,25(6):671-675.
[4]李守巨,刘迎曦,何翔,等.基于模拟退火算法的边坡最小安全系数全局搜索方法[J].岩石力学与工程学报,2003,22(2):236-240.
[5]陆峰,陈祖煜,李素梅.应用遗传算法搜索边坡最小安全系数的研究[J].中国水利水电科学研究院学报,2003,1(3):236-239.
[6]金亮星,冯琦璇,潘卓夫.基于Morgenstern-Price法和改进径向移动算法的边坡稳定性分析[J].中国公路学报,2018,31(2):39-47.
[7]蒲小武,王兰民,吴志坚,等.兰州丘陵沟壑区挖方黄土高边坡面临的工程地质问题及稳定性分析[J].地震工程学报,2016,38(5):787-794.
[8]苏永华,赵明华,邹志鹏,等.边坡稳定性分析的Sarma模式及其可靠度计算方法[J].水利学报,2006(4):457-463.
[9] CHANDRASEKARAN S S,OWAISE R S,Ashwin S,et al. Investi-gation on infrastructural damages by rainfall-induced landslides dur-ing November 2009 in Nilgiris,India[J]. Natural Hazards,2013,65(3):1535-1557.
[10] SIMETRA D. Limit equilibrium slope stability analysis using rigid fi-nite elements[J]. Canadian Geotechnical Journal,2008,45(5):653-662.
[11] CHOI S H,KIM J M,KIM Y S. A study on the estimation of slopestability under the Influence of the vertical direction seismic coeffi-cient using lower bound analysis[J]. Journal of Applied PolymerScience,2012,28(12):1245-1251.
[12] GOKTEPE F,KESKIN I. A comparison study between traditionaland finite element methods for slope stability evaluations[J]. Journalof the Geological Society of India,2018,91(3):373-379.
[13] ISAKOV A,MORYACHKOV Y. Estimation of slope stability usingtwo-parameter criterion of stability[J]. International Journal of Geo-mechanics,2014,14(3):613-624.
[14] KRISHNANAND K N D,GHOSE D. Glowworm swarm optimiza-tion:new method for optimizing multi-modal functions[J]. Compu-tational Intelligence Studies,2009,1(1):93-119.
[15]赵学锋.基于GSO算法的最小连通支配集问题求解[J].计算机工程,2013,39(2):99-102.
[16]唐少虎,刘小明.基于IAGSO算法的VISSIM模型校正研究与实现[J].交通运输系统工程与信息,2014(5):74-80.
[17]蔡德钩,黄帅,闫宏业,等.地下水位上升对边坡稳定性影响的拟静力分析[J].铁道建筑,2015(1):56-62.
[18]郑颖人,赵尚毅.用有限元法求边坡稳定安全系数[J].公路交通技术,2002(1):7-9.
[19]郑宏,田斌,刘德富,等.关于有限元边坡稳定性分析中安全系数的定义问题[J].岩石力学与工程学报,2005,24(13):2225-2230.
[20]李亮.智能优化算法在土坡稳定分析中的应用[D].大连:大连理工大学,2006.