基于对数全变分稀疏约束的地震波阻抗反演方法  

Seismic impedance inversion based on sparse constraint of logarithmic total variation

作　　者：彭文绪 韩文明 程涛 尹川 侯波 PENG Wenxu;HAN Wenming;CHENG Tao;YIN Chuan;HOU Bo(CNOOC International Limited,Beijing 100029,China)

机构地区：[1]中海石油国际能源服务(北京)有限公司,北京100029

出　　处：《石油地球物理勘探》2025年第1期163-176,共14页Oil Geophysical Prospecting

基　　金：中国海洋石油有限公司“十四五”重大科技项目“‘两岸一带’重点区勘探开发地球物理关键技术”(KJGG2022-0903)资助。

摘　　要：基于稀疏约束的波阻抗反演方法广泛用于油气勘探,但由于传统稀疏约束方法提取的稀疏信息有限,且未考虑道间的相关性,导致反演结果中存在伪层且横向连续性差。为此,提出了基于对数全变分稀疏约束的地震波阻抗反演方法。首先,采用纵向对数惩罚因子提取稀疏信息,相较于传统稀疏约束,纵向对数惩罚因子不仅能够提取更多的稀疏信息,而且保证了目标函数的凸性,减少了反演结果的伪层,提高了反演精度;其次,采用横向对数惩罚因子将道间的相似信息引入到反演中,增强反演结果的横向连续性;然后,为了提高反演稳定性,将初始模型约束与对数全变分稀疏约束组合构成目标函数,并采用交替方向乘子法对目标函数进行求解;最后,利用Marmousi2模型和实际数据对所提方法与几种常规方法进行测试对比。测试结果表明,所提方法能够更好地去除伪层、提高横向连续性和反演精度。The impedance inversion method based on sparse constraint is widely used in oil and gas exploration.However,due to the limited sparse information extracted by traditional sparse constraints and the neglect of multitrace correlation,the inversion results contain artifacts and exhibit poor lateral continuity.To address this issue,this paper proposes a seismic impedance inversion method based on sparse constraint of logarithmic total variation.The proposed method utilizes a logarithmic penalty factor to extract sparse information.Compared with traditional sparse constraint,the logarithmic penalty factor can not only extract more sparse information but also ensure convexity of the objective function,reducing artifacts and enhancing inversion accuracy.Additionally,the horizontal logarithmic penalty factor is adopted to introduce multi-trace similarity information in inversion,enhancing lateral continuity of the inversion results.To improve the inversion stability,this study combines the initial model constraint with sparse constraint of logarithmic total variation to form the objective function.The alternating direction method of multipliers is used to solve this objective function.Finally,the proposed method and conventional methods are tested by the Marmousi2 model and field data.The results show that the proposed method can remove artifacts and improve lateral continuity and accuracy,compared to the conventional methods.

关 键 词：对数全变分 稀疏约束 波阻抗反演 惩罚因子 

分 类 号：P631[天文地球—地质矿产勘探]