导电椭球体的充电电场特征研究
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摘要
椭球体是一种非常具有代表性的地电体,它的充电电场通过改变椭球体轴的长短可与多种地电体相似。对椭球体进行正演,即通过椭球体的最大实根公式、旋转椭球体(即不同倾角的椭球体)的视电阻率公式和椭球体外任意点处的电位表达式,用MATLAB软件编写相应程序,分别得到了高、低电阻旋转椭球体的视电阻率曲线及不同倾角椭球体的电位曲线和电位梯度曲线。通过对多种曲线进行分析和对导电椭球体充电电场特征进行研究,推断出地下椭球体的形状、产状及空间位置。
Ellipsoid is a very representative geoelectric body whose charge electric field can be similar to many kinds of geoelectric bodies by changing the length of ellipsoid axis. In this paper, the ellipsoid is forward, that is, the maximum real root formula of the ellipsoid, the apparent resistivity formula of the rotating ellipsoid that is different inclination and the potential expression at any point outside the ellipsoid are written in MATLAB software Correspondingly, the apparent resistivity curve and the potential curve and potential gradient curve of high and low resistance rotating ellipsoid were obtained respectively. By analyzing many kinds of curves and studying the electric field characteristics of charged ellipsoid,the shape, shape and spatial location of the underground ellipsoid are deduced.
Ellipsoid is a very representative geoelectric body whose charge electric field can be similar to many kinds of geoelectric bodies by changing the length of ellipsoid axis. In this paper, the ellipsoid is forward, that is, the maximum real root formula of the ellipsoid, the apparent resistivity formula of the rotating ellipsoid that is different inclination and the potential expression at any point outside the ellipsoid are written in MATLAB software Correspondingly, the apparent resistivity curve and the potential curve and potential gradient curve of high and low resistance rotating ellipsoid were obtained respectively. By analyzing many kinds of curves and studying the electric field characteristics of charged ellipsoid,the shape, shape and spatial location of the underground ellipsoid are deduced.
引文
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[3]罗延钟,张桂青.频率域激电法原理[M].北京:地质出版社,1988.
[4]段长生.椭球异常体中梯激电正反演研究[D].桂林:桂林理工大学,2010.
[5]强健科,何继善.椭球体上双频激电法的正演与反演算法[J].中南大学学报(自然科学版),2007,38(6):1199-1205.
[6]张秋光.场论[M].北京:地质出版社,1985.
[7]罗延钟.椭球方程的最大实根[J].桂林冶金地质学院学报,1982(2):33-35.
[8]张赛珍,王庆乙,罗延钟.中国电法勘探发展概况[J].地球物理学报,1994,37(1):408-424.
[9]徐世浙,刘云峰.二维良导体的电阻率及面激发极化异常的计算[J].地质与物探,1986,22(3):44-52.
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