地电阻率三维影响系数及其应用

doi:10.3969/j.issn.0253-4967.2015.04.015

摘要/Abstract

摘要：

采用有限元数值方法, 计算了对称四极装置观测时测区介质对地电阻率观测的三维影响系数分布。计算结果表明, 表层介质整体影响系数为正和为负时, 表层介质各区域影响系数的分布形态相近, 不同层状电性结构三维影响系数分布形态也相似。在地表二维平面, 影响系数在供电电极和测量电极之间存在近似椭圆的负区域, 其余区域影响系数为正。沿测线垂直剖面, 影响系数在供电电极和测量电极之间存在近似半椭圆的负区域, 其余区域影响系数为正。在三维空间上, 观测系统布设于地表时影响系数为负的区域位于供电电极和测量电极间的近似半椭球区域, 影响系数在靠近电极附近显著大于其余区域。在测区地表局部介质电阻率发生变化时, 可依据影响系数分布定性地分析其对地电阻率观测的影响, 为进一步实验和数值模型定量分析提供参考。

关键词: 地电阻率, 有限元, 影响系数, 层状介质, 地震, 异常

Abstract:

We calculate three-dimensional sensitivity coefficients distribution of apparent resistivity observation when Schlumberger array is used by using finite element method. Analysis results suggest that for the situation of one-dimensional positive or minus coefficient of surface medium, three-dimensional sensitivity coefficients distribution at surface shows similar patterns, and sensitivity coefficients distributions of different layered electric structures are also similar. There are two approximate ellipses at the two-dimensional surface plane between current electrodes and potential electrodes, where sensitivity coefficients are minus, and sensitivity coefficients at other areas are positive. Sensitivity coefficients at two approximate ellipses between current electrodes and potential electrodes are minus at the vertical section along monitoring line, while others are positive. From the three-dimensional view, minus sensitivity coefficients are at the two approximate half ellipsoids between current electrodes and potential electrodes when arrays are applied at surface. And coefficients near the electrodes are much greater than other areas. When resistivity of local areas at surface changes, we can qualitatively analyze the disturbing effects caused by the areas using three dimensional sensitivity coefficients distribution, and the analysis result can serve as reference for further experiment and numerical model quantitative analysis.

Key words: apparent resistivity, finite element, sensitivity coefficient, layered model, earthquake, anomaly

中图分类号:

P631.3⁺22

解滔, 卢军. 地电阻率三维影响系数及其应用[J]. 地震地质, 2015, 37(4): 1125-1135.

XIE Tao, LU Jun. three-dimensional sensitivity coefficients of apparent resistivity and preliminary application[J]. SEISMOLOGY AND GEOLOGY, 2015, 37(4): 1125-1135.

参考文献

杜学彬. 2010. 地震预报中的2类视电阻率变化［J］. 中国科学(D辑), 40(10): 1321—1330.
DU Xue-bin. 2010. Two types of changes in apparent resistivity in earthquake prediction ［J］. Science in China(Ser D), 40(10): 1321—1330(in Chinese).
高立新, 黄根喜, 阎海滨. 1999. 张北-尚义6.2级地震(1998-01-10)前倾斜与地电阻率前兆异常［J］. 地壳形变与地震, 19(4): 88—90.
GAO Li-xin, HUANG Gen-xi, YAN Hai-bin. 1999. Anamolies of crustal inclination and geoelectric resistivity before Zhangbei-Shangyi M_S6.2 earthquake ［J］. Crustal Deformation and Earthquake, 19(4): 88—90(in Chinese).
桂燮泰, 关华平, 戴经安. 1989. 唐山、松潘地震前视电阻率短临异常图像重现性［J］. 西北地震学报, 11(4): 71—75.
GUI Xie-tai, GUAN Hua-ping, DAI Jing-an. 1989. The short-term and immediate anomalous pattern recurrences of the apparent resistivity before the Tangshan and Songpan earthquake of 1976 ［J］. Northwestern Seismological Journal, 11(4): 71—75(in Chinese).
钱复业, 赵玉林, 刘婕, 等. 1990. 唐山7. 8级地震地电阻率临震功率谱异常［J］. 地震, 10(3): 33—38.
QIAN Fu-ye, ZHAO Yu-lin, LIU Jie, et al. 1990. Power spectrum anomaly of earth resistivity immediately before Tangshan M_S7.8 earthquake ［J］. Earthquake, 10(3): 33—38(in Chinese).
钱复业, 赵玉林, 于谋明, 等. 1982. 地震前地电阻率异常变化［J］. 中国科学(B辑), (9): 831—839.
QIAN Fu-ye, ZHAO Yu-lin, YU Mou-ming, et al. 1982. Geo-resistivity anomaly before earthquake ［J］. Science in China(Ser B), (9): 831—839(in Chinese).
钱家栋, 曹爱民. 1998. 1976年唐山7.8级地震地电阻率和地下水前兆综合物理机制研究［J］. 地震, 18(增刊): 1—9.
QIAN Jia-dong, CAO Ai-min. 1998. Research on comprehensive mechanism of precursors in apparant resistivity and water table associated with 1976 Tangshan earthquake(M=7.8)［J］. Earthquake, 18(Suppl): 1—9(in Chinese).
钱家栋, 陈有发, 金安忠. 1985. 地电阻率法在地震预报中的应用［M］. 北京: 地震出版社.
QIAN Jia-dong, CHEN You-fa, JIN An-zhong. 1985. The Geo-resistivity Method Used in Earthquake Prediction ［M］. Seismological Press, Beijing(in Chinese).
钱家栋, 马钦忠, 李劭秾. 2013. 汶川M_S8.0地震前成都台NE测线地电阻率异常的进一步研究［J］. 地震学报, 35(1): 4—17.
QIAN Jia-dong, MA Qin-zhong, LI Shao-nong. 2013. Further study on the anomalies in apparent resistivity in the NE configuration at Chengdu station associated with Wenchuan M_S8. 0 earthquake ［J］. Acta Seismo Sinica, 35(1): 4—17(in Chinese).
钱家栋, 赵和云. 1988. 地电阻率的数值模拟和多极距观测系统［J］. 地震学报, 10(1): 77—89.
QIAN Jia-dong, ZHAO He-yun. 1988. Earth resistivity modeling and observational system with multi-separation of electrodes ［J］. Acta Seismo Sinica, 10(1): 77—89(in Chinese).
解滔, 王洪岐, 刘立波, 等. 2014. 四平台地电阻率相反年变有限元数值分析［J］. 地球物理学进展, 29(2): 588—594.
XIE Tao, WANG Hong-qi, LIU Li-bo, et al. 2014. Inverse annual variations of apparent resistivity at Siping earthquake station by using finite method ［J］. Progress in Geophysics, 29(2): 588—594(in Chinese).
薛顺章, 温新民, 董永德, 等. 1994. 地电阻率预报地震新方法的研究［J］. 地震学报, 16(2): 227—234.
XUE Shun-zhang, WEN Xin-min, DONG Yong-de, et al. 1994. Analysis on new earthquake prediction method using apparent resistivity ［J］. Acta Seismo Sinica, 16(2): 227—234(in Chinese).
严玲琴, 郑卫平, 张辉, 等. 2013. 临夏台地电阻率变化与震兆现象分析［J］. 中国地震, 29(1): 168—176.
YAN Ling-qin, ZHENG Wei-ping, ZHANG Hui, et al. 2013. Analysis on the variation of the earth resistivity and seismic precursory phenomena at Linxia seismic station, Gansu ［J］. Earthquake Research in China, 29(1): 168—176(in Chinese).
姚文斌. 1989. 电测深数值计算和解释入门［M］. 北京: 地震出版社.
YAO Wen-bin. 1989. Introduction of Electrical Sounding Numerical Computation and Explanation ［M］. Seismological Press, Beijing(in Chinese).
叶青, 杜学彬, 陈军营, 等. 2005. 2003年大姚和民乐-山丹地震1年尺度预测［J］. 地震研究, 28(3): 226—230.
YE Qin, DU Xue-bin, CHEN Jun-ying, et al. 2005. One-year prediction for the Dayao and Minle-Shandan earthquakes in 2003 ［J］. Journal of Seismological Research, 28(3): 226—230(in Chinese).
张学民, 李美, 关华平. 2009. 汶川8.0 级地震前的地电阻率异常分析［J］. 地震, 29(1): 108—115.
ZHANG Xue-min, LI Mei, GUAN Hua-ping. 2009. Anomaly analysis of earth resistivity observations before the Wenchuan earthquake ［J］. Earthquake, 29(1): 108—115(in Chinese).
赵和云, 钱家栋. 1987. 郫县台多极距观测资料的反演和分析［J］. 中国地震, 3(增刊): 73—78.
ZHAO He-yun, QIAN Jia-dong. 1987. Inversion and analysis of data of temporal changes in apparent resistivity with multi-separations in Pixian stations, Sichuan Province ［J］. Earthquake Research in China, 3(Suppl): 73—78(in Chinese).
Coggon J H. 1971. Electromagnetic and electrical modeling by the finite element method ［J］. Geophysics, 36: 132—155.
Dey A, Morrison H F. 1979. Resistivity modeling for arbitrary shaped three-dimensional structures ［J］. Geophysics, 44(4): 753—780.
Li Y G, Spitzer K. 2005. Finite element resistivity modeling for three-dimensional structures with arbitrary anisotropy ［J］. PEPI, 150: 15—27.
Lowry T, Allen M B, Shive P N. 1989. Singularity removal: A refinement of resistivity modeling techniques ［J］. Geophysics, 54: 766—774.
Lu J, Qian F Y, Zhao Y L. 1999. Sensitivity analysis of the Schlumberger monitoring array: Application to changes of resistivity prior to the 1976 earthquake in Tangshan, China ［J］. Tectonophysics, 307(3-4): 397—405.
Lu J, Xue S Z, Qian F Y, et al. 2004. Unexpected changes in resistivity monitoring for earthquakes of the Longmen Shan in Sichuan, China, with a fixed Schlumberger sounding array ［J］. PEPI, 145(1-4): 87—97.
O'Neill D J, Merrick N P. 1984. A digital linear filter for resistivity sounding with a generalized electrode array ［J］. Geophys Prospect, 32(1): 105—123.
Park S K, Van G P. 1991. Inversion of pole-pole data for 3-D resistivity structure beneath arrays of electrodes ［J］. Geophysics, 56(7): 951—960.
Roy A, Poddar M. 1981. A simple derivation of Seigel's time domain induced polarization formula ［J］. Geophys Prospect, 29(1): 432—437.
Seigel H O. 1959. Mathematical formulation and type curves for induced polarization ［J］. Geophysics, 24(3): 547—565.
Wait J R. 1981. Towards a general theory of induced electrical polarization in geophysical exploration ［J］. IEEE Trans Geosci Remote Sensing GE, 19(4): 231—234.
Zhao S, Yedlin M. 1996. Some refinement on the finite-difference method for 3-D dc resistivity modeling ［J］. Geophysics, 61: 1301—1307.

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