| 基于改进NAD方法的频率域声波逆时偏移 |
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| 引用本文： | 郎超, 刘少林, 杨晓婷, 徐锡伟. 2022. 基于改进NAD方法的频率域声波逆时偏移. 地球物理学报, 65(3): 1071-1085, doi: 10.6038/cjg2022P0501 |
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| 作者姓名： | 郎超 刘少林 杨晓婷 徐锡伟 |
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| 作者单位： | 1. 北京信息科技大学理学院, 北京 100192; 2. 应急管理部国家自然灾害防治研究院, 北京 100085 |
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| 基金项目： | 中国地震局地壳应力研究所中央级公益性科研院所基本科研业务专项项目(ZDJ2019-18);国家自然科学青年基金(41804051);北京市教委科技一般项目(KM202111232009)资助。 |
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| 摘 要： | 逆时偏移成像具有高分辨率的特点，在频率域实施能提升偏移成像效率.数值求解波动方程是逆时偏移成像的关键环节，数值算法的优劣直接决定着偏移过程的计算效率与成像结果的质量.本文在频率域近似解析离散化（NAD）方法的基础上通过优化网格差分模板系数构造改进NAD方法，保证数值离散精度的同时可缓解阻抗矩阵的病态程度，以此提高频率域正演模拟的计算效率并将该方法运用于频率域声波逆时偏移.通过分别对凹陷模型、Sigsbee2B模型以及Marmousi模型进行偏移成像且与四阶标准NAD方法和四阶普通有限差分方法进行比较，改进NAD方法在压制数值频散与提高成像效率方面的优势得到了充分体现.
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| 关 键 词： | 频率域 逆时偏移 近似解析离散化 阻抗矩阵 数值频散 |
| 收稿时间： | 2021-07-15 |
| 修稿时间： | 2021-10-14 |
Frequency-domain acoustic reverse time migration based on improved NAD method |
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| LANG Chao, LIU ShaoLin, YANG XiaoTing, XU XiWei. 2022. Frequency-domain acoustic reverse time migration based on improved NAD method. Chinese Journal of Geophysics (in Chinese), 65(3): 1071-1085, doi: 10.6038/cjg2022P0501 |
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| Authors: | LANG Chao LIU ShaoLin YANG XiaoTing XU XiWei |
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| Affiliation: | 1. School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, China; 2. Institute of Natural Hazards, Ministry of Emergency Management of China, Beijing 100085, China |
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| Abstract: | Reverse time migration imaging has the characteristics of high resolution,and it can improve the efficiency of migration imaging when performed in the frequency domain.Numerically solving the wave equation is a key point of reverse time migration imaging.The pros and cons of numerical algorithm directly determine the computing efficiency of migration processes and the quality of imaging results.In this paper,based on frequency-domain nearly analytic discrete(NAD)method,an improved NAD method is constructed by optimizing the grid stencil coefficients to relieve the ill-posed condition of impedance matrix as well as ensuring the accuracy of numerical discretion.To improve the computing efficiency of frequency-domain forward modeling,this method is used in the frequency-domain reverse time migration.By respectively performing migration imaging of sunken model,Sigsbee2 B model,and Marmousi model,and comparing the corresponding results with fourth-order standard NAD method and fourth-order ordinary finite difference method,the advantages of improved NAD method in suppressing numerical dispersion and improving imaging efficiency have been fully reflected. |
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| Keywords: | Frequency domain Reverse time migration Nearly analytic discretization Impedance matrix Numerical dispersion |
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