基于改进模拟退火算法的剩余静校正及程序实现
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摘要
模拟退火算法是以固体退火过程为物理背景的全局优化算法,能很好地解决剩余静较正中的非线性问题和"周期跳跃"现象,但也存在迭代次数大、收敛速度慢和费时等缺点。针对以上缺点,提出了改进方案:设计了新的退火策略对温度的衰减进行控制,以减少迭代次数和加快收敛速度;采用时窗内采样点的振幅差之和作为目标函数,以加快计算速度;通过在低温时对模型扰动进行约束,加快最优解的求取。通过对模拟数据和新疆某地区的实际地震资料进行剩余静校正处理,表明改进模拟退火的剩余静校正不但收敛快、效率高,而且能有效提高叠加剖面的分辨率和信噪比。
On the physical background of solid annealing process's properties,Simulated Annealing Algorithm is one sort of global optimization algorithm.This algorithm could solve the nonlinear problem and "Cycle Skipping" phenomenon of residual correction,but the disadvantages of redundant iteration and slow convergence speed also exist.Aiming at the above disadvantages,this paper proposed the following improved program: In the process of iteration,in order to decrease iterations and increase the convergence speed,the improved algorithm adopts new program to control the attenuation of temperature;The improved algorithm adopts new target function to increase the processing speed.By limiting the model disturbance in the condition of low temperature,the improved algorithm could obtain the optimal solution more quick.By processing the simulation data and actual seismic data of Algeria,the improved could decrease iteration times and improve convergence speed and efficiency effectively and enhance the continuity of reflection event,improve stacked sections' resolution and SNR(Signal to Noise Ratio).
On the physical background of solid annealing process's properties,Simulated Annealing Algorithm is one sort of global optimization algorithm.This algorithm could solve the nonlinear problem and "Cycle Skipping" phenomenon of residual correction,but the disadvantages of redundant iteration and slow convergence speed also exist.Aiming at the above disadvantages,this paper proposed the following improved program: In the process of iteration,in order to decrease iterations and increase the convergence speed,the improved algorithm adopts new program to control the attenuation of temperature;The improved algorithm adopts new target function to increase the processing speed.By limiting the model disturbance in the condition of low temperature,the improved algorithm could obtain the optimal solution more quick.By processing the simulation data and actual seismic data of Algeria,the improved could decrease iteration times and improve convergence speed and efficiency effectively and enhance the continuity of reflection event,improve stacked sections' resolution and SNR(Signal to Noise Ratio).
引文
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[3]Ronen S,Claerbout J.Residual statics estimation by stack-powermaximization[J].Geophysics,1985,50(12):2759-2767.
[4]Metropolis N,Rosenbluth A,Rosenbluth M.Equation of state cal-culations by fast computing machines[J].Journal of ChemicalPhysics,1953,56(21):1087-1092.
[5]Kirkpatrick S,Jr Gelatt C D,Vecchi MP.Optimization by simula-ted annealing[J].Science,1983,220(11):650-671.
[6]邢文训,谢金星.现代优化计算方法[M].北京:清华大学出版社,1999.
[7]康立山,谢云.非数值并行算法:第一册——模拟退火算法[M].北京:科学出版社,1994.
[8]Rothman D H.Automatic estimation of large residual static correc-tions[J].Geophysics,1986,50(1):2784-2796.
[9]Dubose J B.Praetieal steps toward realizing the potential of MonteCarlo automatic statics.Geophysics,1993,58(3):399-407.
[10]Kirkpatrick S,Gelatt C D,Vecchi P M.Optimization by SimulatedAnnealing[J].Science,1983,220:670-680.
[11]Johnson D S,Aragon C R,McGeoch L A,et al.Optimization bysimulated annealing:An experimental evaluation,Part I[M].AT&TBell Laboratories,Murray Hill(NJ),1987.
[12]郑鸿明,彭立,李生杰.模拟退火静校正[J].新疆石油地质,2001,22(1):32-34.
[13]王山山,李灿平,李青仁,等.快速模拟退火地震反演[J].地球物理学报,1995,38(增刊1):123-134.
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