二维波动方程测井约束反演的自适应同伦共轭梯度法  

Adaptive homopoty conjugate gradient method for inversion of two-dimensional wave equation with well log constraint

作　　者：耿淑彤 冯国峰[1] 王迎[1] 李壮[2] 

机构地区：[1]哈尔滨工程大学理学院,哈尔滨150001 [2]琼州学院科技处,三亚572022

出　　处：《黑龙江大学自然科学学报》2011年第3期341-347,共7页Journal of Natural Science of Heilongjiang University

基　　金：中央高校基本科研业务费专项资金资助项目(HEUFC20111137);海南省自然科学基金资助项目(609006);三亚市院校专项资金资助项目(YD09074)

摘　　要：波动方程反演问题在许多领域中具有广泛应用,它面临非线性、不适定性和计算量巨大的问题。针对波动方程反问题的特点,以二维波动方程反问题为数学模型,通过利用地震资料和测井资料联合反演技术,将同伦共轭梯度法与测井约束相结合,对模型的速度参数进行联合反演,以获得完整的速度参数分布信息,从而使波动方程反演具有更强的抗噪能力和更高的计算精度。The inversion problem of wave equation has a wide range of applications in many areas.It faces non-linear,ill-posed difficulty and needs a huge amount of computation.Due to the characteristics of the inversion problem of wave equation,the 2-D wave equation model is considered.A joint inversion to the velocity parameter of the model is given by using the joint inversion technique of seismic data and well-log information and associating the homotopy conjugate gradient method with the logging restriction,which achieves the whole distributed information of the velocity parameter.Consequently,the wave equation inversion has stronger anti-noise capability and higher calculation accuracy.

关 键 词：波动方程反问题 正则化 测井约束 同伦共轭梯度法 

分 类 号：P631[天文地球—地质矿产勘探]