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

PDF (PC)

404

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 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.
[2] 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.
[3] 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.
[4] 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.
[5] 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.
[6] Yan Jiabin, Huang Xiangyu. Vector Finite Element Method [J]. Journal of Jilin University(Earth Science Edition), 2016, 46(5): 1538-1549.
[7] 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.
[8] Gu Guanwen, Wu Wenli, Li Tonglin. Modeling for the Effect of Magnetotelluric 3D Topography Based on the Vector Finite-Element Method [J]. Journal of Jilin University(Earth Science Edition), 2014, 44(5): 1678-1686.
[9] Zhang Guangzhi, Du Bingyi, Chen Huaizhen, Gao Jianhu, Li Chao, Li Yuan. Joint Inversion of PP and PS Waves Elastic Impedance [J]. Journal of Jilin University(Earth Science Edition), 2014, 44(5): 1695-1704.
[10] Pak Yongchol，Li Tonglin，Liu Yongliang. Improvement of Choosing Lagrange Multiplier on MT 2D Occam Inversion [J]. Journal of Jilin University(Earth Science Edition), 2014, 44(2): 660-667.
[11] Yu Xiangqian，Zhao Yiping，Wang Mingxin，Liu Di，Wang Wenting，Wang Xinzhu. Combination of Audio Magnetotelluric and Nuclear Magnetic Resonance Used to Aquifer Division [J]. Journal of Jilin University(Earth Science Edition), 2014, 44(1): 350-358.
[12] Tang Jingtian, Li Hao, Li Jin, Qiang Jianke, Xiao Xiao. Top-Hat Transformation and Magnetotelluric Sounding Data Strong Interference Separation of Lujiang-Zongyang Ore Concentration Area [J]. Journal of Jilin University(Earth Science Edition), 2014, 44(1): 336-343.
[13] Wang Zhenghai, Geng Xin, Yao Zhuosen, Hu Guangdao, Fang Chen. Like-Impulse Electromagnetic Noise Processing Based on Empirical Mode Decomposition [J]. Journal of Jilin University(Earth Science Edition), 2014, 44(1): 344-349.
[14] Zhou Ximing，Ren Shoumai，Zhang Xingzhou，Chen Chao，Li Chengli. Deep Structural Study on Gravity-Magneto-Electricity Profile of Alar-Handagai in Hailar Basin and Its Geological Significance [J]. Journal of Jilin University(Earth Science Edition), 2013, 43(5): 1630-1638.
[15] Tang Jingtian, Xue Shuai. Influence of Truncated Boundary in FEM Numerical Simulation of MT [J]. Journal of Jilin University(Earth Science Edition), 2013, 43(1): 267-274.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
Copyright © Journal of Jilin University(Earth Science Edition), All Rights Reserved.
Tel: +86-431-88502374；13756165364　E-mail: xuebao1956@jlu.edu.cn
Powered by Beijing Magtech Co. Ltd