地震波阻抗反演的预条件共轭梯度法

新疆石油地质 ›› 2006, Vol. 27 ›› Issue (4): 425-428.

地震波阻抗反演的预条件共轭梯度法

黄文松¹, 年静波², 刘喜武²

1.中国石油石油勘探开发科学研究院, 北京 100083;
2.中国海洋大学海洋地球科学学院, 山东青岛 266003

收稿日期:2005-08-28 出版日期:2006-08-01 发布日期:2020-10-19
作者简介:黄文松(1973-), 男, 河北高阳人, 在读博士研究生, 油藏工程,(Tel) 010-62097621(E-mail) hwshws6@163.com.

The Pre-Conditional Conjugate Gradient Algorithm for Inversion of Seismic Acoustic Impedance

HUANG Wen-song¹, NIAN Jing-bo², LIU Xi-wu²

1. Research Institute of Petroleum Exploration and Development, PetroChina, Beijing 100083, China;
2. Institute of Marine Geosciences, Ocean University of China, Qingdao, Shandong 266003, China

Received:2005-08-28 Online:2006-08-01 Published:2020-10-19

摘要/Abstract

摘要： 研究地震波阻抗线性反演求解方法。基于Cauchy准则,正则化稀疏反演问题,应用预条件共轭梯度法实现反射系数和子波同时迭代反演。在迭代求解正则化方程时,用共轭梯度法求解相应的原问题。给出初始子波估计的策略和波阻抗求解方法。用实际数据检验算法,表明预条件共轭梯度法反演的子波、反射系数和波阻抗要比直接稀疏反演精度高、收敛快、数值稳定。

关键词: 地震波阻抗, Cauchy 准则, 迭代反演, 预条件共轭梯度

Abstract: Seismic acoustic impedance linear inversion algorithm is studied. Based on Cauchy criteria, the regularized sparse inversion can be made by using pre-conditional conjugate gradient algorithm (PCGA) in simultaneously iterative inversion of reflection factor and wavelet. For solving the inversion problem by PCGA, it is better to solve the original linear system rather than the normalized system for the good matrix condition number. The initial wavelet estimation and acoustic impedance interpretation methods are presented. The real data verification shows that the wavelet, reflection factor and acoustic impedance given by PCGA are more accurate, quicker convergent and value stable than the existing direct sparse inversion method.

Key words: seismic acoustic impedance, Cauchy criteria, iterative inversion, pre-conditional conjugate gradient

中图分类号:

P631.96

黄文松, 年静波, 刘喜武. 地震波阻抗反演的预条件共轭梯度法[J]. 新疆石油地质, 2006, 27(4): 425-428.

HUANG Wen-song, NIAN Jing-bo, LIU Xi-wu. The Pre-Conditional Conjugate Gradient Algorithm for Inversion of Seismic Acoustic Impedance[J]. Xinjiang Petroleum Geology, 2006, 27(4): 425-428.