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基于MCMC的叠前地震反演方法研究
引用本文:张广智,王丹阳,印兴耀,李宁.基于MCMC的叠前地震反演方法研究[J].地球物理学报,2011,54(11):2926-2932.
作者姓名:张广智  王丹阳  印兴耀  李宁
作者单位:中国石油大学(华东) 地球科学与技术学院,青岛 257061
基金项目:国家油气重大专项(2011ZX05014-001-010HZ)、中国石油科技创新项目(2011D-5006-0301)、中国石油大学(华东)自主创新科研计划项目(11CX05006A)联合资助.
摘    要:马尔科夫链蒙特卡洛方法(MCMC)是一种启发式的全局寻优算法1].它在贝叶斯框架下,利用已有资料进行约束,既可使最优解满足参数的统计特性,又通过融入的先验信息,提高解的精度;寻优过程可跳出局部最优,得到全局最优解.利用MCMC方法,可以得到大量来自于后验概率分布的样本,不仅可以得到每个未知参数的估计值,而且可以得到与...

关 键 词:非线性反演  MCMC  叠前地震反演  Metropolis-Hastings算法
收稿时间:2010-04-06

Study on prestack seismic inversion using Markov Chain Monte Carlo
ZHANG Guang-Zhi,WANG Dan-Yang,YIN Xing-Yao,LI Ning.Study on prestack seismic inversion using Markov Chain Monte Carlo[J].Chinese Journal of Geophysics,2011,54(11):2926-2932.
Authors:ZHANG Guang-Zhi  WANG Dan-Yang  YIN Xing-Yao  LI Ning
Institution:Shool of Geosciences, China University of Petroleum, Qingdao 257061,China
Abstract:Markov Chain Monte Carlo method is a heuristic global optimization method. In the Bayesian framework, the optimal solution meets the statistical properties of the parameters with the constraints of data(eg. seismic data, well log); the accuracy of solution is improved with the prior information joined in; optimization process can jump out of local optimum, and ultimately obtain the global optimal solution. Using MCMC methods, we draw a large number of samples from the posterior distribution function. With these samples, we obtain not only the estimates of each unknown variable, but also various types of uncertainty information associated with the estimation. In addition, because of not making use of a objective functions with single optimal solution, the results obtained with MCMC method are independent of the choice of initial values. By testing a 1D layered model and the application of real seismic data in South China, shows the MCMC method based on Metropolis-Hastings algorithm is available and can obtain good results by random searching solution space.
Keywords:non-linear inversion  Markov Chain Monte Carlo  prestack seismic inversion  Metropolis-Hastings algorithm
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