Journal of Jilin University(Earth Science Edition) ›› 2015, Vol. 45 ›› Issue (3): 952-961.doi: 10.13278/j.cnki.jjuese.201503304

Previous Articles     Next Articles

Joint Inversion of Magnetotelluric and First-Arrival Wave Seismic Traveltime with Cross-Gradient Constraints

Li Tonglin1, Zhang Rongzhe1, Pak Yongchol1,2   

  1. 1. College of Geo-Exploration Science and Technology, Jilin University, Changchun 130026, China;
    2. Resource Exploration and Engineering Department, Kimchaek University of Technology, Pyongyang 999093, Korea
  • Received:2014-09-13 Published:2015-05-26

Abstract:

In the process of geophysical exploration, observation data are limited and errors exist, leading to the presence of non-unique inversion results. In order to solve the problem of non-uniqueness, the authors study the mathematical theory of cross-gradient, and achieve the joint inversion of 2D magnetotelluric and first-arrival wave seismic traveltime with cross-gradient. At the same time, we establish two models. Through test of each model and comparison between the two models, it is proven not only that the result of the cross-gradient joint inversion is better than the single inversion in remediation on geometry and physical property parameters, but also that the cross-gradient is independent from the petro-physical properties. Further, the cross-gradient figure evidences the high similarity of the joint inversion models, and the cross-plot of joint inversion presents a better correlation with physical properties. These, in turn, prove the validity of the joint inversion.

Key words: magnetotelluric, first-arrival wave seismic traveltime, cross-gradient, joint inversion

CLC Number: 

  • P631.3

[1] 杨辉,戴世坤,宋海斌,等.综合地球物理联合反演综述[J].地球物理学进展,2002,17(2):262-271. Yang Hui, Dai Shikun, Song Haibin, et al. Integrated Geophysical Joint Inversion Review[J]. Progress in Geophysics, 2002, 17(2): 262-271.

[2] 于鹏,王家林,吴健生,等.地球物理联合反演的研究现状和分析[J].勘探地球物理进展,2006,29(2):87-93. Yu Peng, Wang Jialin, Wu Jiansheng, et al. Research Status and Analysis of Joint Inversion[J]. Progress in Exploration Geophysics,2006,29(2):87-93.

[3] Heincke B, Hobbs R. Joint Inversion of MT, Gravity and Seismic Data Applied to Sub-Basalt Imaging[C]//Annual Meeting. New Orleans: SEG, 2006: 784-787.

[4] Colombo D, Stefano M D. Geophysical Modeling via Simultaneous Joint Inversion of Seismic Gravity, and Electromagnetic Data: Application to Prestack Depth Imaging[J]. The Leading Edge, 2007, 26(3): 326-331.

[5] Haber E, Oldenburg D. Joint Inversion: A Structural Approach Inverse Problems[J]. IOP Science, 1997, 13: 63-77.

[6] Zhang J, Morgan F D. Joint Seismic and Electrical Tomography[C]// Symposium on the Application of Geophysics to Engineering and Environmental Problems. [S.l.]: SEG,1997: 391-396.

[7] Gallardo L A, Meju M A. Characterization of Heterogeneous Near-Surface Materials by Joint 2D Inversion of DC Resistivity and Seismic Data[J]. Geophysical Research Letters, 2003, 30(13): 1658-1661.

[8] 彭淼,谭捍东,姜枚,等.基于交叉梯度耦合的大地电磁与地震走时资料三维联合反演[J].地球物理学报,2013,56(8):2728-2738. Peng Miao, Tan Handong, Jiang Mei, et al. Three-Dimension Joint Inversion Magnetotelluric and Seismic Travel Time Data with Cross-Gradient Constraints[J]. Chinese Journal of Geophysics, 2013, 56(8):2728-2738.

[9] 王俊,孟小红,陈朝曦,等.交叉梯度理论及其在地球物理联合反演中的应用[J].地球物理学进展,2013, 28(4):2094-2103. Wang Jun, Meng Xiaohong, Chen Zhaoxi, et al. The Theory of Cross-Gradient and Its Application in Geophysical Joint Inversion[J]. Progress in Geophysics, 2013, 28(4):2094-2103.

[10] Gallardo L A, Meju M A. Joint Two-Dimensional DC Resistivity and Seismic Travel Time Inversion with Cross-Gradients Constraints[J]. Jouranl of Geophsical Research, 2004, 109: 3311.

[11] Vidale J. Finite-Difference Calculation of Travel-Ti-mes in Three Dimenisons[J]. Geophysics, 1990, 55: 521-526.

[12] Zelt C A, Barton P J. Three-Dimensional Seismic Refraction Tomography: A Comparison of Two Methods Applied to Data from the Faeroe Basin[J]. Geophys Res, 1998, 103: 7187-7210.

[13] 刘小军,王家林,于鹏,等.基于二次场的二维大地电磁有限元法数值模拟[J].同济大学学报:自然科学版,2007,35(8):1113-1117. Liu Xiaojun, Wang Jialin, Yu Peng, et al. Numerical Simulation of Two-Dimensional Magnetotelluric Secondary Field Based on the Finite Element Method[J]. Journal of Tongji University:Natural Science, 2007, 35 (8):1113-1117.

[14] Wannamaker P E, Stodt J A, Rijo L. A Stable Finite Element Solution for Two-Dimensional Magnetotelluric Modeling[J]. Geophys J R,1987, 88: 277-296.

[15] de Lugao P P, Wannamaker P E. Calculating the Two-Dimensional Magnetotlluric Jacobian in Finite Elements Using ReciProcity[J]. Geophys J,1996, 127: 806-810.

[16] 朴英哲,李桐林,刘永亮,等.在大地电磁二维Occam反演中求取拉格朗日算子方法的改进[J].吉林大学学报:地球科学版,2014,44(2):660-667. Pak Yongchol, Li Tonglin, Liu Yongliang, et al. Improvement of Choosing Lagrange Multiplier on MT 2D Occam Inversion[J]. Journal of Jilin University : Earth Science Edition, 2014, 44(2): 660-667.

[17] de Groot-Hedlin C D, Constable S C. Occam's Inversion to Generate Smooth, Two-Dimensional Models from MagnetotelluricData[J]. Geophysics, 1990, 93: 1613-1624.

[18] Constable S C, Parker K L, Constable C G. Occam's Inversion a Practical Algorithm for Generating Smooth Models from EM Sounding Data[J]. Geophysics,1987, 52: 289-300.

[1] Zhang Yangyang, Du Wei.

Adaptive Finite Element Method for Audio-Frequency Magnetotelluric Forward Modeling Based on Super Convergent Patch Recovery [J]. Journal of Jilin University(Earth Science Edition), 2026, 56(2): 673-683.

[2] Yu Nian, Zhang Xuejian, Kong Wenxin, Wei Chang. Multidisciplinary Advancements in Geomagnetically Induced Currents Research [J]. Journal of Jilin University(Earth Science Edition), 2024, 54(1): 54-67.
[3] Gao Kening, Deng Juzhi, Liu Wenyu, Yu Hui, Chen Hui, Zhou Cong, Wang Yanguo, Liu Baoshan. Deep Electrical Structure and Metallogenic Model in Sanhetun Mining Area, Heilongjiang Province [J]. Journal of Jilin University(Earth Science Edition), 2022, 52(3): 684-700.
[4] Zhou Cong, Tang Jingtian, Yuan Yuan, Li Guang, Xiao Xiao, Deng Juzhi. Spatial and Temporal Distribution Characteristics of Electromagnetic Fields in Strong Noise Area [J]. Journal of Jilin University(Earth Science Edition), 2020, 50(6): 1870-1886.
[5] Feng Kai, Qin Ce. Anisotropy Forward Modeling of Magnetotelluric(MT) Adaptive Finite Element [J]. Journal of Jilin University(Earth Science Edition), 2020, 50(6): 1887-1896.
[6] Weng Wangfei, Wang Deen, Hu Zhaoqi, Zhu Qiang, Wang Qinian, Wu Jiming, Tang Guoqiang, Zhang Pengfei. Characteristics of Thrust-Nappe Structure and Its Relationship with Mineralization in Xiuning-Shexian Integrated Exploration Area, Anhui Province [J]. Journal of Jilin University(Earth Science Edition), 2020, 50(5): 1518-1538.
[7] Zhang Penghui, Zhang Xiaobo, Fang Hui, Wang Xiaojiang, Liu Jianxun. Deep and Shallow Structural Characteristics of Middle Segment of Nenjiang-Balihan Fault Based on Geophysical Data [J]. Journal of Jilin University(Earth Science Edition), 2020, 50(1): 261-272.
[8] Xue Linfu, Zhu Ming, Li Wenqing, Liu Wenyu, Liu Zhenghong, Liu Zeyu. Earthquake Triggered by “Magma Bubble” Bursting: 2013 Songyuan Earthquake Cluaters in Jilin as an Example [J]. Journal of Jilin University(Earth Science Edition), 2018, 48(6): 1865-1875.
[9] Zhang Cong, Shi Dishi, Zhang Ziya, Chen Ke, Yuan Kun, Qiao Jihua, Peng Fangping. Basement Structure of Western Chuxiong Basin in Yunnan Province: Using High-Precision Gravity-Magnetic-Electrical Survey [J]. Journal of Jilin University(Earth Science Edition), 2018, 48(3): 863-871.
[10] Chen Hui, Yin Min, Yin Changchun, Deng Juzhi. Three-Dimensional Magnetotelluric Modelling Using Aggregation-Based Algebraic Multigrid Method [J]. Journal of Jilin University(Earth Science Edition), 2018, 48(1): 261-270.
[11] Cai Jianhua, Xiao Xiao. De-Noising of Magnetotelluric Signal in the Ore Concentration Area Based on Combination Filter [J]. Journal of Jilin University(Earth Science Edition), 2017, 47(3): 874-883.
[12] Luo Tianya, Xiong Bin, Cai Hongzhu, Chen Xin, Liu Yunlong, Lan Huaikang, Li Zuqiang, Liang Zhuo. Magnetotelluric Responses of Two-Dimensional Complex Conductivity Structures [J]. Journal of Jilin University(Earth Science Edition), 2017, 47(1): 215-223.
[13] Han Song, Liu Guoxing, Han Jiangtao. Deep Electrical Structure of Jinxian-Zherong Magnetotelluric Profile in South China [J]. Journal of Jilin University(Earth Science Edition), 2016, 46(6): 1837-1846.
[14] Yan Jiabin, Huang Xiangyu. Vector Finite Element Method [J]. Journal of Jilin University(Earth Science Edition), 2016, 46(5): 1538-1549.
[15] Qin Linjiang, Yang Changfu. Analytic Solution to the MT Responses of a Two-Segment Model with Axially Anisotropic Conductivity Structures Overlying a Perfect Insulator [J]. Journal of Jilin University(Earth Science Edition), 2016, 46(4): 1260-1267.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
[1] You Minxin,Liu Jianmin. Application Status and Progress of Isotopic Geochemistry in Research of Emeishan Large Igneous Province (ELIP)[J]. Journal of Jilin University(Earth Science Edition), 2014, 44(4): 1231 -1243 .
[2] YANG Chun-mei, LI Hong-qi,LU Da-wei,ZHANG Fang-li,GAO Yuan,SHAO Ying-chao. The Relationship Between Rock Resistivity and Water Saturation in WaterDriveOil and OilDriveWater Process[J]. J4, 2005, 35(05): 667 -671 .
[3] ZHU Hong-chen,ZHANG Jiong-fei,QUAN Heng. Two Stages of Mesozoic Lithogenesis and Mineralization in Daxing’anling Mountains[J]. J4, 2005, 35(04): 436 -0442 .
[4] ZHU Jian-wei, ZHAO Gang, LIU Bo, GUO Wei, CHENG Jun. Identification Technology and It’s Application of Well-Logging About Oil Shale[J]. J4, 2012, 42(2): 289 -295 .
[5] CHEN Li, LIANG Hai-an,ZHANG Wen-juan,RONG Fan. Application of Fuzzy Mathematics in Division of Engineering Geo-Environment of Cities-An Example of Fushun City[J]. J4, 2008, 38(5): 837 -0840 .
[6] GAO Gui-mei,SU Ke,WANG Wen-ying,GAN Shu-cai,LIU Zhao-jun. Study on Rare Earth and Trace Elements in Oil Shale Samples, Huadian, Jilin Province[J]. J4, 2006, 36(6): 974 -0979 .
[7] WU Kong-yun,JIANG Zhong-cheng,YE Ye. Influence of Different Plant Communities On Erosion Rates of Limestone Rock Blocks[J]. J4, 2007, 37(5): 967 -0971 .
[8] ZHOU Yan-zhang, CHI Bao-ming, LIU Zhong-pei. Mode of Structural Control about Groundwater Pour-in Mechanism in Xiadian Gold Deposits in Shandong Province[J]. J4, 2008, 38(2): 255 -0260 .
[9] ZHANG Yuan, LIU Lian-deng,SUN Jing-gui,CHEN Guo-hua,ZHANG Hong-xi,YAN Fu-chuan, YANG Kai-chun. Two Phase Overprinting Mineralization in Huangbuling Gold Deposit in Northwestern Jiaodong Peninsula[J]. J4, 2008, 38(1): 21 -0026 .
[10] LU Cheng-peng, SHU Long-cang, YUAN Li-bo, ZHANG Rong-rong, HUANG Bi-juan, WANG Bin-bin. Determination of Hydrogeologic Parameters of Karst Aquifer Based on Tracer Test[J]. J4, 2009, 39(4): 717 -721 .