Please wait a minute...
E-mail Alert Rss
 
物探与化探  2024, Vol. 48 Issue (1): 125-133    DOI: 10.11720/wtyht.2024.1090
  方法研究·信息处理·仪器研制 本期目录 | 过刊浏览 | 高级检索 |
基于伪解析法的TTI介质纯qP波地震波场正演模拟
张奎涛1(), 廖家荣1, 顾汉明2(), 孙瑛莹1, 陈怿旸1, 王凯1
1.江西省交通设计研究院有限责任公司,江西 南昌 330052
2.中国地质大学(武汉) 地球物理与空间信息学院,湖北 武汉 430074
Forward modeling of the seismic wave field of pure qP waves in TTI media based on the pseudo-analytical method
ZHANG Kui-Tao1(), LIAO Jia-Rong1, GU Han-Ming2(), SUN Ying-Ying1, CHEN Yi-Yang1, WANG Kai1
1. Jiangxi Provincial Transportation Design and Research Institute Co.,Ltd.,Nanchang 330052,China
2. School of Geophysics and Geomatics,China University of Geosciences(Wuhan),Wuhan 430074,China
全文: PDF(5024 KB)   HTML
输出: BibTeX | EndNote (RIS)      
摘要 

近年来,各向异性介质纯qP波正演模拟及逆时偏移成像技术受到广泛关注。常规拟声波方程存在伪横波干扰、受模型参数限制(εδ)、传播不稳定和计算精度不高等因素影响,极大地限制了其应用。为此,本文将qP波拟微分方程变换到空间—波数域,并通过坐标变换,推导了时间域TTI介质二阶纯qP波波动方程;为提高计算精度,引入伪解析算法(pseudo analytical method,PAM),实现了基于伪解析法的TTI介质纯qP波地震波场正演模拟。数值模拟结果表明:①本文方法克服了拟声波方程的局限性,消除了伪横波干扰,不受模型参数限制且地震波场能稳定传播;②与其他方法相比,伪解析法能有效提高数值模拟精度;③简单及复杂模型测试验证了本文方法的正确性与适用性。

服务
把本文推荐给朋友
加入引用管理器
E-mail Alert
RSS
作者相关文章
张奎涛
廖家荣
顾汉明
孙瑛莹
陈怿旸
王凯
关键词 伪解析法TTI介质纯qP波地震波场正演模拟    
Abstract

Forward modeling and reverse-time migration imaging techniques for pure quasi-P (qP) waves in anisotropic media have aroused extensive concern in recent years.However,conventional quasi-acoustic equations are subjected to the interference from quasi-shear waves,the limitation of model parameters (εδ),propagation instability,and low calculation accuracy,thus significantly restricting their application.Hence,this study shifted the quasi-differential equation of qP waves to the space-wavenumber domain and derived the second-order pure qP wave equation of TTI media in the time domain through coordinate transformation.To improve the calculation accuracy,this study conducted the forward modeling of the seismic wave field of pure qP waves in TTI media based on the pseudo-analytical method (PAM).The numerical simulation results show that:(1)The method proposed in this study was free from the limitations of quasi-acoustic equations,the interference from quasi-shear waves,and model parameters,enabling stable propagation of the seismic wave field;(2)Compared to other methods,the PAM can effectively improve the numerical simulation accuracy;(3)The testing of simple and complex models verified the correctness and applicability of the proposed method.

Key wordspseudo-analytical method    TTI media    pure qP waves    seismic wave field    forward modeling
收稿日期: 2023-03-06      修回日期: 2023-11-28      出版日期: 2024-02-20
ZTFLH:  P631.4  
基金资助:江西省交通投资集团科技项目“半航空瞬变电磁技术在复杂山区中勘察的研究与应用”(2022JT0009);江西省交通运输厅科技项目“江西省公路自然灾害防治技术指南”(2022H0028)
通讯作者: 顾汉明(1963-),男,教授,博士生导师,主要从事地震勘探领域的教研工作。Email:hmgu@cug.edu.cn
作者简介: 张奎涛(1993-),男,2020年毕业于中国地质大学(武汉),硕士研究生,助理工程师,主要从事地球物理勘探及地质灾害防治的研究及应用工作。Email:1347925969@qq.com
引用本文:   
张奎涛, 廖家荣, 顾汉明, 孙瑛莹, 陈怿旸, 王凯. 基于伪解析法的TTI介质纯qP波地震波场正演模拟[J]. 物探与化探, 2024, 48(1): 125-133.
ZHANG Kui-Tao, LIAO Jia-Rong, GU Han-Ming, SUN Ying-Ying, CHEN Yi-Yang, WANG Kai. Forward modeling of the seismic wave field of pure qP waves in TTI media based on the pseudo-analytical method. Geophysical and Geochemical Exploration, 2024, 48(1): 125-133.
链接本文:  
https://www.wutanyuhuatan.com/CN/10.11720/wtyht.2024.1090      或      https://www.wutanyuhuatan.com/CN/Y2024/V48/I1/125
Fig.1  归一化伪拉普拉斯(NPL)算子
Fig.2  基于归一化伪拉普拉斯(NPL)算子的空间二阶导数
Fig.3  复杂介质模型下的归一化伪拉普拉斯(NPL)算子
a—Hess复杂介质模型;b—Hess模型的NPL
介质类型 v0/(m·s-1) ρ/(g·cm-3) ε δ θ
1700 2.5 0.20 0.10
1700 2.5 0.20 0.10 90°
1700 2.5 0.20 0.10 45°
1700 2.5 0.15 0.15 45°
1700 2.5 0.10 0.20 45°
Table 1  均匀介质模型参数
Fig.4  均匀声学TTI介质拟声波方程(上)和纯qP波方程(下)400 ms时刻波场快照
a、d—对应介质类型Ⅲ; b、e—对应介质类型Ⅳ; c、f—对应介质类型Ⅴ
Fig.5  纯qP波方程在均匀各向异性介质中400 ms时刻波场快照
a—介质类型Ⅰ; b—介质类型Ⅱ; c—介质类型Ⅲ
Fig.6  均匀TTI介质纯qP波350 ms时刻波场快照
a—有限差分法(FDM); b—伪谱法(PSM); c—伪解析法(PAM)
Fig.7  二维BP2007声学TTI介质模型参数
a—纵波速度v0;b—纵波各向异性参数ε;c—变异系数δ;d—极化角θ
Fig.8  二维BP2007声学TTI介质4 s时刻波场快照(a)及地震记录(b)
[1] Chichinina T, Obolentseva I, Gik L, et al. Attenuation anisotropy in the linear-slip model: Interpretation of physical modeling data[J]. Geophysics, 2009, 74(5):WB165-WB176.
doi: 10.1190/1.3173806
[2] 丁亮, 刘洋. 逆时偏移成像技术研究进展[J]. 地球物理学进展, 2011, 26(3):1085-1100.
[2] Ding L, Liu Y. Progress in reverse time migration imaging[J]. Progress in Geophysics, 2011, 26(3):1085-1100.
[3] Alkhalifah T. An acoustic wave equation for anisotropic media[J]. Geophysics, 2000, 65(4):1239-1250.
doi: 10.1190/1.1444815
[4] Alkhalifah T. Acoustic approximations for processing in transversely isotropic media[J]. Geophysics, 1998, 63(2):623-631.
doi: 10.1190/1.1444361
[5] Du X, Bancroft J C, Lines L R. Reverse-time migration for tilted TI media[C]// SEG Technical Program Expanded Abstracts 2005,Society of Exploration Geophysicists, 2005:1930-1933.
[6] Zhou H B, Zhang G Q, Bloor R. An anisotropic acoustic wave equation for modeling and migration in 2D TTI media[C]// SEG Technical Program Expanded Abstracts 2006,Society of Exploration Geophysicists, 2006:194-198.
[7] Duveneck E, Milcik P, Bakker P M, et al. Acoustic VTI wave equations and their application for anisotropic reverse-time migration[C]// SEG Technical Program Expanded Abstracts 2008,Society of Exploration Geophysicists, 2008:2186-2190.
[8] 程玖兵, 陈茂根, 王腾飞, 等. 各向异性介质qP波传播描述Ⅱ:分离纯模式标量波[J]. 地球物理学报, 2014, 57(10):3389-3401.
doi: 10.6038/cjg20141025
[8] Cheng J B, Chen M G, Wang T F, et al. Description of qP-wave propagation in anisotropic media,Part II:Separation of pure-mode scalar waves[J]. Chinese Journal of Geophysics, 2014, 57(10):3389-3401.
[9] 程玖兵, 康玮, 王腾飞. 各向异性介质qP波传播描述Ⅰ:伪纯模式波动方程[J]. 地球物理学报, 2013, 56(10):3474-3486.
[9] Cheng J B, Kang W, Wang T F. Description of qP-wave propagation in anisotropic media,Part Ⅰ:Pseudo-pure-mode wave equations[J]. Chinese Journal of Geophysics, 2013, 56(10):3474-3486.
[10] Duveneck E, Bakker P M. Stable P-wave modeling for reverse-time migration in tilted TI media[J]. Geophysics, 2011, 76(2):S65-S75.
doi: 10.1190/1.3533964
[11] Grechka V, Zhang L B, Rector J W III. Shear waves in acoustic anisotropic media[J]. Geophysics, 2004, 69(2):576-582.
doi: 10.1190/1.1707077
[12] 郭成锋, 杜启振, 张明强, 等. 改进的TTI介质纯P波方程正演模拟与逆时偏移[J]. 地球物理学报, 2017, 60(1):258-270.
doi: 10.6038/cjg20170121
[12] Guo C F, Du Q Z, Zhang M Q, et al. Numerical simulation and reverse time migration using an improved pure P-wave equation in tilted transversely isotropic media[J]. Chinese Journal of Geophysics, 2017, 60(1):258-270.
[13] Zhang Y, Zhang H Z, Zhang G Q. A stable TTI reverse time migration and its implementation[J]. Geophysics, 2011, 76(3):WA3-WA11.
doi: 10.1190/1.3554411
[14] Zhan G, Pestana R C, Stoffa P L. Decoupled equations for reverse time migration in tilted transversely isotropic media[J]. Geophysics, 2012, 77(2):T37-T45.
doi: 10.1190/geo2011-0175.1
[15] Xu S, Tang B, Mu J, et al. Quasi-P wave propagation with an elliptic differential operator[C]// New Orleans: SEG Technical Program Expanded Abstracts 2015,Society of Exploration Geophysicists, 2015:4380-4384.
[16] 胡书华, 王宇超, 刘文卿, 等. 复杂TTI介质稳定的纯qP波波场模拟方法[J]. 石油地球物理勘探, 2018, 53(2):280-287,221.
[16] Hu S H, Wang Y C, Liu W Q, et al. Pure quasi-P wave stable simulation in complex TTI media[J]. Oil Geophysical Prospecting, 2018, 53(2):280-287,221.
[17] 张庆朝, 朱国维, 周俊杰, 等. TTI介质qP波伪谱法正演模拟[J]. 石油地球物理勘探, 2019, 54(2):302-311,236.
[17] Zhang Q C, Zhu G W, Zhou J J, et al. qP-wave numerical simulation in TTI media with pseudo-spectral method[J]. Oil Geophysical Prospecting, 2019, 54(2):302-311,236.
[18] 顾汉明, 张奎涛, 刘春成, 等. 基于Low-rank一步法波场延拓的黏声各向异性介质纯qP波正演模拟[J]. 石油地球物理勘探, 2020, 55(4):733-746,699-700.
[18] Gu H M, Zhang K T, Liu C C, et al. Low-rank one-step wave extrapolation for pure qP-wave forward modeling in viscoacoustic anisotropic media[J]. Oil Geophysical Prospecting, 2020, 55(4):733-746,699-700.
[19] Kreiss H O, Oliger J. Comparison of accurate methods for the integration of hyperbolic equations[J]. Tellus, 1972, 24(3):199-215.
[20] Etgen J T, Brandsberg-Dahl S. The pseudo-analytical method:Application of pseudo-Laplacians to acoustic and acoustic anisotropic wave propagation[C]// SEG Technical Program Expanded Abstracts 2009,Society of Exploration Geophysicists, 2009:2552-2556.
[21] Chu C L, Stoffa P L. Acoustic anisotropic wave modeling using normalized pseudo-laplacian[C]// SEG Technical Program Expanded Abstracts 2010,Society of Exploration Geophysicists, 2010:2972-2976.
[22] 张衡, 刘洪, 丁仁伟, 等. TTI介质伪解析解耦波动方程[J]. 地球物理学进展, 2016, 31(4):1752-1761.
[22] Zhang H, Liu H, Ding R W, et al. Pseudo-analytical decoupled wave equation for TTI media[J]. Progress in Geophysics, 2016, 31(4):1752-1761.
[23] Xu S, Zhou H B. Accurate simulations of pure quasi-P-waves in complex anisotropic media[J]. Geophysics, 2014, 79(6):T341-T348.
doi: 10.1190/geo2014-0242.1
[24] Xu W C, Li Z C, Deng W Z, et al. Anisotropic viscoacoustic wave RTM based on second-order quasi-differential equation[C]// New Orleans: SEG Technical Program Expanded Abstracts 2015,Society of Exploration Geophysicists, 2015:4013-4017.
[1] 赵军, 孟欣佳, 李冰, 刘志民. 坑道聚焦直流激电法电流场分布特性及探测影响因素分析[J]. 物探与化探, 2023, 47(1): 120-128.
[2] 王光文, 王海燕, 李洪强, 李文辉, 庞永香. 地震正演技术在深反射地震剖面探测中的应用[J]. 物探与化探, 2021, 45(4): 970-980.
[3] 田郁, 乐彪. 复杂异常体模型下的三维MT倾子正演模拟[J]. 物探与化探, 2021, 45(4): 1021-1029.
[4] 聂伟东, 李雪英, 万乔升, 王福霖, 何谞超. 基于affine类时频分析的旋回性薄互层时频特征影响因素分析[J]. 物探与化探, 2020, 44(4): 763-769.
[5] 徐磊, 汪思源, 张建清, 李文忠, 李鹏. 近垂直反射正演模拟及其地下工程应用[J]. 物探与化探, 2020, 44(3): 635-642.
[6] 孙大利, 李貅, 齐彦福, 孙乃泉, 李文忠, 周建美, 孙卫民. 基于非结构网格三维有限元堤坝隐患时移特征分析[J]. 物探与化探, 2019, 43(4): 804-814.
[7] 张军伟, 刘秉峰, 李雪, 祝全兵, 任跃勤. 基于GPRMax2D的地下管线精细化探测方法[J]. 物探与化探, 2019, 43(2): 435-440.
[8] 何幼娟, 乔玉雷, 侯丽娟, 竺俊, 高刚, 王鹏. 一种变网格差分的快速行进法[J]. 物探与化探, 2019, 43(1): 199-208.
[9] 田郁, 胡祥云, 乐彪. 倾子在地球物理断裂构造解释中的应用[J]. 物探与化探, 2018, 42(6): 1237-1244.
[10] 张强, 王鑫, 乐幸福, 张建新. 正演模拟技术在白云岩薄储层预测研究中的应用[J]. 物探与化探, 2018, 42(5): 1042-1048.
[11] 黄杰, 杨国权, 李振春, 谷丙洛. TTI介质拟声波方程数值模拟[J]. 物探与化探, 2018, 42(1): 134-143.
[12] 齐宇, 彭俊, 刘鹏, 王存武, 郭广山, 陈思路. 地震微相分析技术——以某深水油田海底扇朵叶体为例[J]. 物探与化探, 2018, 42(1): 154-160.
[13] 贾跃玮, 魏水建, 游瑜春, 王丹. 兴隆气田长兴组生物礁储层预测研究[J]. 物探与化探, 2017, 41(4): 605-610.
[14] 赵峰. 高密度电阻率法在勘察黄土洞穴及岩溶中的装置适用性研究[J]. 物探与化探, 2016, 40(6): 1125-1130.
[15] 安鹏, 张延庆, 于志龙, 党虎强, 李旭航, 宋宇东. 基于“匹配追踪”算法的T2强反射层影响去除技术应用[J]. 物探与化探, 2016, 40(5): 955-960.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
京ICP备05055290号-3
版权所有 © 2021《物探与化探》编辑部
通讯地址:北京市学院路29号航遥中心 邮编:100083
电话:010-62060192;62060193 E-mail:whtbjb@sina.com