基于卡尔曼最优估计理论的地震反褶积方法
|
摘要
围绕卡尔曼估计滤波所涉及的关键问题——随机信号状态空间模型的建立和先验误差信息的估计,进行了详细的讨论;对地震资料反射系数估计方法进行了算法设计,为了使算法收敛且向最优估计方向寻优,从正交投影理论出发,在满足残差与合成地震记录正交的条件下,给出了迭代寻找初始状态变量(反射系数)的求取方法;给出了实现算法的具体过程。理论模型和实际资料处理结果表明,方法正确,应用效果明显。
Detailed discussion was carried out on the key problem related to the appraisal in Kalman filtering,that is the establishment of random signal state space model and the estimation of priori error information.We have researched and designed the estimation algorithm of reflection coefficient with Kalman filtering theory.In the algorithm design,in order to make algorithm converge and search for optimal estimation direction,we gave the method for iterated finding initial state variable(reflection coefficient) with the condition that residual error is orthogonal to synthetic seismogram starting from orthogonal projection theory.The realized steps for the above algorithm were given.Theoretical model and actual data processing results showed that the method is correct and the application result is obvious.
Detailed discussion was carried out on the key problem related to the appraisal in Kalman filtering,that is the establishment of random signal state space model and the estimation of priori error information.We have researched and designed the estimation algorithm of reflection coefficient with Kalman filtering theory.In the algorithm design,in order to make algorithm converge and search for optimal estimation direction,we gave the method for iterated finding initial state variable(reflection coefficient) with the condition that residual error is orthogonal to synthetic seismogram starting from orthogonal projection theory.The realized steps for the above algorithm were given.Theoretical model and actual data processing results showed that the method is correct and the application result is obvious.
引文
1覃天,王彦春,凌勋.准噶尔盆地低信噪比地震资料处理方法[J].石油物探,2005,44(6):593-597
2郭树祥,李建明,毕立飞,等.频率域地表一致性反褶积方法及应用效果分析[J].石油物探,2003,44(1): 89-101
3贾丽华,吴长江,罗焱鑫,等.地震资料高分辨率处理技术[J].石汕物探,2002,41(4):484-488
4张剑.子波反褶积在塔河油田联片三维地震资料解释中的应用[J].石油物探,2001.40(2):98-101
5邬达理,杨子兴,朱文杰.复杂条件下三维地震资料处理中的几个关键问题[J].石油物探,2002,41(2): 179-185
6刘财,谢金娥,郭全仕,等.一种基于自然梯度的地震盲反褶积方法[J].石油物探,2008,47(5):439-443
7刘喜武,刘洪.地震盲反褶积综述[J].地球物理学进展,2003,18(2):203-209
8刘喜武,高伟,张宁,等.基于带状混合矩阵ICA实现地震盲反褶积[J].地球物理学进展,2007,22(4): 1 153-1 163
9孟小红,吴何珍,刘国峰.盲源反褶积与应用研究[J].石油地球物理勘探,2005,40(6):642-645
10吕齐,朱孝龙,张贤达.卷积盲信号分离的非线性PCA方法[J].清华大学学报,2006,46(4):492-494
11董恩清,刘贵忠,张宗平.自适应Kalman滤波反褶积的快速实现方法[J].地球物理学报,2001,44(2): 255-261
12邓自立.最优估计理论及其应用[M].哈尔滨:哈尔滨工业大学出版社,2005.98-160
13曹思远,陈香朋,李美.基于极大后验估计的卡尔曼反褶积[J]地球物理学进展,2003,26(4):273-281
2郭树祥,李建明,毕立飞,等.频率域地表一致性反褶积方法及应用效果分析[J].石油物探,2003,44(1): 89-101
3贾丽华,吴长江,罗焱鑫,等.地震资料高分辨率处理技术[J].石汕物探,2002,41(4):484-488
4张剑.子波反褶积在塔河油田联片三维地震资料解释中的应用[J].石油物探,2001.40(2):98-101
5邬达理,杨子兴,朱文杰.复杂条件下三维地震资料处理中的几个关键问题[J].石油物探,2002,41(2): 179-185
6刘财,谢金娥,郭全仕,等.一种基于自然梯度的地震盲反褶积方法[J].石油物探,2008,47(5):439-443
7刘喜武,刘洪.地震盲反褶积综述[J].地球物理学进展,2003,18(2):203-209
8刘喜武,高伟,张宁,等.基于带状混合矩阵ICA实现地震盲反褶积[J].地球物理学进展,2007,22(4): 1 153-1 163
9孟小红,吴何珍,刘国峰.盲源反褶积与应用研究[J].石油地球物理勘探,2005,40(6):642-645
10吕齐,朱孝龙,张贤达.卷积盲信号分离的非线性PCA方法[J].清华大学学报,2006,46(4):492-494
11董恩清,刘贵忠,张宗平.自适应Kalman滤波反褶积的快速实现方法[J].地球物理学报,2001,44(2): 255-261
12邓自立.最优估计理论及其应用[M].哈尔滨:哈尔滨工业大学出版社,2005.98-160
13曹思远,陈香朋,李美.基于极大后验估计的卡尔曼反褶积[J]地球物理学进展,2003,26(4):273-281
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心