用随机启发式优化算法反演2003年云南大姚地震断层面参数的比较研究
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摘要
基于余震分布确定主震断层面的数学模型,以确定断层面的走向和倾角参数进行计算,研究了遗传算法、模拟退火算法、差分演化算法、粒子群算法等4种最优化反演方法的反演效果和可靠性。结果显示,在涉及到的反演参数较少和非线性不太严重时,4种方法都有较好的表现,差分演化算法、粒子群算法速度快,精度高,遗传算法速度较慢,精度较低,模拟退火由于缺乏并行机制,速度较慢,精度高于遗传算法。余震在求出的断层附近分布图直观地反映出4种方法的效果和可靠性。
Based upon the model of estimating the main earthquake's fault plane parameters,the numerical inversion example is made and the inversion effect and reliability of four different stochastic optimization algorithms such as genetic algorithm,simulated annealing algorithm,particle swarm optimization algorithms,differential evolution algorithm are studied as well.The good results show that the inversed parameters obtained by the four algorithms are all of satisfied when the parameters is not too many and the nonlinearity is not too serious,the differential evolution and particle swarm algorithms have more high velocity and precision than others,the genetic algorithm has less velocity and precision,the simulated annealing algorithm's precision is higher than genetic algorithm,and its velocity is lower than others because of lacking parallel mechanism.The effect and reliability of four stochastic algorithms can also be seen directly from the figure of seismic data around the fault plane.Thus all these methods are simple,efficient and feasible inversion algorithms for geodesy inversion.
Based upon the model of estimating the main earthquake's fault plane parameters,the numerical inversion example is made and the inversion effect and reliability of four different stochastic optimization algorithms such as genetic algorithm,simulated annealing algorithm,particle swarm optimization algorithms,differential evolution algorithm are studied as well.The good results show that the inversed parameters obtained by the four algorithms are all of satisfied when the parameters is not too many and the nonlinearity is not too serious,the differential evolution and particle swarm algorithms have more high velocity and precision than others,the genetic algorithm has less velocity and precision,the simulated annealing algorithm's precision is higher than genetic algorithm,and its velocity is lower than others because of lacking parallel mechanism.The effect and reliability of four stochastic algorithms can also be seen directly from the figure of seismic data around the fault plane.Thus all these methods are simple,efficient and feasible inversion algorithms for geodesy inversion.
引文
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靳利霞,唐焕文,李斌等.2005.一类连续函数模拟退火算法及其收敛性分析[J].计算数学,27(1):19～30
李志伟,胥颐,郝天珧等.1997.2006.利用DE算法反演地壳速度模型和地震定位[J].地球物理学进展,21(2):370～378
万永革,刘瑞丰,李鸿吉.用遗传算法反演京津唐张地区的三维地壳结构和震源位置[J].地震学报,19(6):623～633
万永革,吴忠良,周公威等.2000.根据震源的两个节面的走向角和倾角求滑动角[J].地震地磁观测与研究,21(5):26～30
万永革,沈正康,刁桂苓等.2008.利用小震分布和区域应力场确定大震断层面参数方法及其在唐山地震序列中的应用[J].地球物理学报,待发表
王福昌,万永革.2007.利用余震震源分布确定主震断层面的方法研究[J],内陆地震,21(1):39～43
王家映.2000.地球物理反演理论[M].北京:高等教育出版社
王鸣,王培德.1992.1989年10月18日大同-阳高地震的震源机制和发震构造[J].地震学报,14(4):407～415
魏超,朱培民,王家映.2006.量子退火的反演和实现[J].地球物理学报,49(2):577～583
杨若黎,顾基发.1997.一种高效的模拟退火全局优化算法[J].系统工程理论与实践,17(5):29～35
于鹏,王家林,吴健生等.2007.重力与地震资料的模拟退火约束联合反演[J].地球物理学报,50(2):529～538
Guitton A,Symes W.2003.Robust inversion of seismic data using the Huber norm[J].Geophysics,68(4):1310～1319
Prugger AF,Gendzwill DJ.1988.Microearthquakelocation:Anonlinear approachthat makes use of si mplex stepping pro-cedure[J].Bulletin Seismology Society American,78(2):799～815
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