-
In practical applications of transient electromagnetic methods, irregularity of the transmitting loop or current waveform makes the source an extended one. Since neglect of the effect of the extended source will cause some errors in both forward modeling and data interpretation, it makes great sense to calculate the responses that take this effect into account. For a spatially extended source over layered medium, step response is firstly calculated and taken as the basic response, then principle of reciprocity and the integral of the second kind are used to propose a new method that can compute the response based on the coordinates of the loop. For an extended source in time, an improved step-function summation method is proposed to deal with the contradiction between the precision of result and consuming of time. Comparisons with the published work have proved the validity and accuracy of our methods. The effect of the traditional approximations of the extended source is also investigated and some analysis for the numerical results is presented for advanced usage.
-
Keywords:
- stratified medium /
- extended source /
- principle of reciprocity /
- nonuniform sampling
[1] Zhdanov M S 2010 Geophysics 75 75A49
[2] Huang L, Zeng Z F, Wang M N, Wang Z J 2007 Applied Geophysics 4 301
[3] Zhou J M, Wang H N, Yao J J, Yang S W, Ma Y Z 2012 Acta Phys. Sin. 61 089101 (in Chinese) [周建美, 汪宏年, 姚敬金, 杨守文, 马寅芝 2012 61 089101]
[4] Zhang Y, Zhang X J, Fang G Y 2012 Acta Phys. Sin. 61 184203 (in Chinese) [张宇, 张晓娟, 方广有 2012 61 184203]
[5] Zhang Y, Zhang X J, Fang G Y 2013 Acta Phys. Sin. 62 044204 (in Chinese) [张宇, 张晓娟, 方广有 2013 62 044204]
[6] Ren X C, Guo L X 2008 Chin. Phys. Lett. 25 101
[7] Wang A Q, Guo L X, Chai C 2011 Chin. Phys. B 20 050202
[8] Ji W J, Tong C M 2013 Chin. Phys. B 22 020301
[9] Singh N P, Mogi T 2003 Earth Planets and Space 55 301
[10] Singh N P, Mogi T 2005 Pure and Appl. Geophy. 162 181
[11] Singh N P, Utsugi M, Kagiyama T 2009 Pure Appl. Geophy. 166 2037
[12] Cheng G B, B J, Wang J B, Chen X Y, Sun G C, Lu J 2011 Acta Phys. Sin. 60 094102 (in Chinese) [陈桂波, 毕娟, 汪剑波, 陈新邑, 孙贯成, 卢俊 2011 60 094102]
[13] Jang H, Jang H, Lee K H, Kim H J 2013 J. Geophy. Eng. 10 025011
[14] Christiansen A V, Auken E, Viezzoli A 2011 Geophysics 76 43
[15] Ji Y J, Lin J, Yu S B, Wang Z, Wang J 2006 Chinese J. Geophys. 49 1884 (in Chinese) [嵇艳鞠, 林君, 于生宝, 王忠, 王静 2006 地球 49 1884]
[16] Niu Z L 2007 Transient Electromagnetic Methods (Changsha: Central South University Press) p31 (in Chinese) [牛之琏 2007 时间域电磁法原理(长沙: 中南大学出版社) 第31页]
[17] Xue G Q, Yan S, Zhou N N 2011 Chinese J. Geophys. 54 2389 (in Chinese) [薛国强, 闫述, 周楠楠 2011 地球 54 2389]
[18] Zhdanov M S 2009 Geophysical Electromagnetic Theory and Methods (Amsterdam: Elsevier) p200
[19] Chen S D, Lin J, Zhang S 2012 Chinese J. Geophys. 55 709 (in Chinese) [陈曙东, 林君, 张爽 2012 地球 55 709]
[20] Qi Y Z, Huang L, Wu X, Zhu W H, Fang G Y 2011 Proceedings of the IEEE 4th International Symposium on Microwave, Antenna, Propagation, and EMC Technologies for Wireless Communications (MAPE) Beijing, China. November 1–3, 2011 p179
[21] Kong F N 2007 Geophysical Prospecting 55 83
[22] Yang R G 2008 Advanced Electromagnetic Theory (Beijing: Higher Education Press) p162 (in Chinese) [杨儒贵 2008 高等电磁理论(北京: 高等教育出版社) 第162页]
-
[1] Zhdanov M S 2010 Geophysics 75 75A49
[2] Huang L, Zeng Z F, Wang M N, Wang Z J 2007 Applied Geophysics 4 301
[3] Zhou J M, Wang H N, Yao J J, Yang S W, Ma Y Z 2012 Acta Phys. Sin. 61 089101 (in Chinese) [周建美, 汪宏年, 姚敬金, 杨守文, 马寅芝 2012 61 089101]
[4] Zhang Y, Zhang X J, Fang G Y 2012 Acta Phys. Sin. 61 184203 (in Chinese) [张宇, 张晓娟, 方广有 2012 61 184203]
[5] Zhang Y, Zhang X J, Fang G Y 2013 Acta Phys. Sin. 62 044204 (in Chinese) [张宇, 张晓娟, 方广有 2013 62 044204]
[6] Ren X C, Guo L X 2008 Chin. Phys. Lett. 25 101
[7] Wang A Q, Guo L X, Chai C 2011 Chin. Phys. B 20 050202
[8] Ji W J, Tong C M 2013 Chin. Phys. B 22 020301
[9] Singh N P, Mogi T 2003 Earth Planets and Space 55 301
[10] Singh N P, Mogi T 2005 Pure and Appl. Geophy. 162 181
[11] Singh N P, Utsugi M, Kagiyama T 2009 Pure Appl. Geophy. 166 2037
[12] Cheng G B, B J, Wang J B, Chen X Y, Sun G C, Lu J 2011 Acta Phys. Sin. 60 094102 (in Chinese) [陈桂波, 毕娟, 汪剑波, 陈新邑, 孙贯成, 卢俊 2011 60 094102]
[13] Jang H, Jang H, Lee K H, Kim H J 2013 J. Geophy. Eng. 10 025011
[14] Christiansen A V, Auken E, Viezzoli A 2011 Geophysics 76 43
[15] Ji Y J, Lin J, Yu S B, Wang Z, Wang J 2006 Chinese J. Geophys. 49 1884 (in Chinese) [嵇艳鞠, 林君, 于生宝, 王忠, 王静 2006 地球 49 1884]
[16] Niu Z L 2007 Transient Electromagnetic Methods (Changsha: Central South University Press) p31 (in Chinese) [牛之琏 2007 时间域电磁法原理(长沙: 中南大学出版社) 第31页]
[17] Xue G Q, Yan S, Zhou N N 2011 Chinese J. Geophys. 54 2389 (in Chinese) [薛国强, 闫述, 周楠楠 2011 地球 54 2389]
[18] Zhdanov M S 2009 Geophysical Electromagnetic Theory and Methods (Amsterdam: Elsevier) p200
[19] Chen S D, Lin J, Zhang S 2012 Chinese J. Geophys. 55 709 (in Chinese) [陈曙东, 林君, 张爽 2012 地球 55 709]
[20] Qi Y Z, Huang L, Wu X, Zhu W H, Fang G Y 2011 Proceedings of the IEEE 4th International Symposium on Microwave, Antenna, Propagation, and EMC Technologies for Wireless Communications (MAPE) Beijing, China. November 1–3, 2011 p179
[21] Kong F N 2007 Geophysical Prospecting 55 83
[22] Yang R G 2008 Advanced Electromagnetic Theory (Beijing: Higher Education Press) p162 (in Chinese) [杨儒贵 2008 高等电磁理论(北京: 高等教育出版社) 第162页]
Catalog
Metrics
- Abstract views: 5708
- PDF Downloads: 821
- Cited By: 0
下载:
