二维波动方程测井约束反演的自适应同伦共轭梯度法

英文篇名：Adaptive homopoty conjugate gradient method for inversion of two-dimensional wave equation with well log constraint
中文刊名：黑龙江大学自然科学学报
英文刊名：Journal of Natural Science of Heilongjiang University
作者：耿淑彤 ; 冯国峰 ; 王迎 ; 李壮
英文作者：GENG Shu-tong1 ; FENG Guo-feng1 ; WANG Ying1 ; LI Zhuang2(1.College of Science ; Harbin Engineering University ; Harbin 150001 ; China ; 2.Science Research Department ; Qiongzhou University ; Sanya 572022 ; China)
中文关键词：波动方程反问题 ; 正则化 ; 测井约束 ; 同伦共轭梯度法
英文关键词：inversion problem of wave equation ; regularization ; well log constraint ; homotopy conjugate gradient method
出版日期：2011-06-25
机构：哈尔滨工程大学理学院;琼州学院科技处;
年：2011
期：03
出版单位：黑龙江大学自然科学学报

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.

引文

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