期刊文献+

用一种简明的共轭梯度算法对局部地层进行波阻抗反演 被引量:2

A brief conjugate gradient method for local layer impedance inversion
下载PDF
导出
摘要 经典的共轭梯度迭代方法对线性反演问题是有效的。但是地球物理反演一般是非线性的,那未经典的方法得到的反演解法往往是无法控制的,又不能产生最大似然反演,更不会得到可重复的反演结果。本文提出了一种简明的反演算法,该算法在迭代过程中只需计算误差函数对各个反射系数变元的一阶梯度值,而无需进行复杂的矩阵运算和求逆,是一种简单明了且易于实现的快速算法。理论记录和实际记录处理表明,本文提供的方法具有可重复性和较快的收敛速度。 For linear inversion problem, the classic conjugate gradient iteration method is effictive, but geophysical inversion is usually nonlinear, so the result of the classic method can not be controlled and repeated.The method presented in this paper only calculates the first order gradient of error function with respect to each reflectivity variable. It doesn't calculate the complex matrix and its inverse matrix, so it is easy and fast. Theoretical and praetieal results show that this method is repeatable and has good eonvergence.
出处 《石油物探》 EI CSCD 北大核心 1996年第3期65-70,共6页 Geophysical Prospecting For Petroleum
关键词 共轭梯度 反射系数 波阻抗反演 地震勘探 石油 Conjugate Gradient,Reflection Coefficient, Wave Impedance Inversion, Local Layer
  • 相关文献

参考文献3

  • 1Christof Stork et,第63届SEG年会论文集,1994年
  • 2Vest R T,第60届SEG年会论文集,1992年
  • 3安艺敬一,定量地震学理论和方法,1986年

同被引文献23

  • 1李宏兵.具有剔除噪音功能的多道广义线性反演[J].石油物探,1996,35(4):11-17. 被引量:43
  • 2Cooke D A, Schneider W A. Generalized linear inversion of reflection seismic data[J]. Geophysics, 1983,48(6):665~6764
  • 3Bjorn Ursin. The information contains in the matric of elastic reflection[J]. Expanded Abstracts of 62nd Annual Internat SEG Mtg, 1990,231~236
  • 4Nicolao A D, Giuseppe D, Fabio R. Eigenvalues and eigenvectors of linearized elastic inversion [J]. Geophysics,1993, 58 (5) :670~679
  • 5Joakim O Blanch. Inversion and AVO in attenuating media[J]. Expanded Abstracts of 68th Annual Internat SEG Mtg, 1998,533~538
  • 6Nolet G, Snieder R. Solving large linear inverse problems by projection. Geophysics, 1990,103 : 565 - 568.
  • 7Goldberg D E. Genetic Algorithms in Search. Optimization Machine Learning, Addison-Wesley Publishing Company, INC, 1989.
  • 8Mora P. Nonlinear two-dimensional elastic inversion of muldoffset seismic data, Geophysics, 1987,52:1211-1228.
  • 9Nashed M Z. Perturbations and approximations for generalized inverses and linear operators equations. Generalized Inverses and Applications, 1976,325-396.
  • 10Tikhonov A N, Arsenin V Y. Solutions of Ill-posed Problems. New York: John Wiley and Sons, 1977.

引证文献2

二级引证文献21

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部