Browse > Article
http://dx.doi.org/10.7582/GGE.2021.24.4.180

Development of Three-dimensional Inversion Algorithm of Complex Resistivity Method  

Son, Jeong-Sul (Mineral Resources Development Research Center, Mineral Resources Division, Korea Institute of Geoscience and Mineral Resources (KIGAM))
Shin, Seungwook (Mineral Resources Development Research Center, Mineral Resources Division, Korea Institute of Geoscience and Mineral Resources (KIGAM))
Park, Sam-Gyu (Global Cooperation Division, Korea Institute of Geoscience and Mineral Resource (KIGAM))
Publication Information
Geophysics and Geophysical Exploration / v.24, no.4, 2021 , pp. 180-193 More about this Journal
Abstract
The complex resistivity method is an exploration technique that can obtain various characteristic information of underground media by measuring resistivity and phase in the frequency domain, and its utilization has recently increased. In this paper, a three-dimensional inversion algorithm for the CR data was developed to increase the utilization of this method. The Poisson equation, which can be applied when the electromagnetic coupling effect is ignored, was applied to the modeling, and the inversion algorithm was developed by modifying the existing algorithm by adopting comlex variables. In order to increase the stability of the inversion, a technique was introduced to automatically adjust the Lagrangian multiplier according to the ratio of the error vector and the model update vector. Furthermore, to compensate for the loss of data due to noisy phase data, a two-step inversion method that conducts inversion iterations using only resistivity data in the beginning and both of resistivity and phase data in the second half was developed. As a result of the experiment for the synthetic data, stable inversion results were obtained, and the validity to real data was also confirmed by applying the developed 3D inversion algorithm to the analysis of field data acquired near a hydrothermal mine.
Keywords
induced polarization method; complex resistivity; 3D inversion; mineral exploration; hyper-thermal mine;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Atekwana, E. A., Sauck, W. A., and Werkema Jr, D. D., 2000, Investigations of geoelectrical signatures at a hydrocarbon con- taminated site, J. Appl. Geophy., 44(2-3), 167-180, http://directory.umm.ac.id/Data%20Elmu/jurnal/J-a/Journal%20Of%20Applied%20Geophysics/Vol44.Issue2-3.2000/1150.pdf   DOI
2 Borner, F., Gruhne, M., and Schon, J., 1993, Contamination indications derived from electrical properties in the low frequency range, Geophys. Prospect., 41(1), 83-98, https://doi.org/10.1111/j.1365-2478.1993.tb00566.x   DOI
3 Commer, M., Newman, G., Williams, K., and Hubbard, S., 2011, 3D induced- polarization data inversion for complex resistivity, Geophysics, 76(3), F157-F171, https://doi.org/10.1190/1.3560156   DOI
4 Dahlin, T., Loroux, V., and Nissen, J., 2002, Measuring techniques in induced polarization imaging, Journal of Applied Geophysics, 50, 279-298, https://lucris.lub.lu.se/ws/portalfiles/portal/4364619/4091940.pdf   DOI
5 deGroot-Hedlin, C., and Constable, S., 1990, Occam's inversion to generate smooth, two-dimensional models from magneto-telluric data, Geophysics, 55(12), 1613-1624, https://doi.org/10.1190/1.1442813   DOI
6 Lee, S. K., and Koo, J. H., 1986, Report on the RP and SIP test survey in Korea, J. Korean Soc. Miner. Energy Resour. Eng., 23, 1-8, https://www.jksmer.or.kr/articles/pdf/zNgM/ksmer1986-023-01-1.pdf
7 Kemna, A., Binley, A., and Slater, L., 2004, Crosshole IP imaging for engineering and environmental application, Geophysics, 69(1), 97-107, doi:10.1190/1.1649379   DOI
8 Lee, S. K., Hwang, H. S., Hwang, S. H., Park, I. H., and Shin, J. H., 2002, Recognition of seawater intrusion using reference IP technique, Geophysics and Geophysical Exploration, 5(1), 56-63, https://scienceon.kisti.re.kr/commons/util/originalView.do?cn=JAKO200207921805543&oCn=JAKO200207921805543&dbt=JAKO&journal=NJOU00291953
9 Kim, B., Desy, C., Yu, H. E., Cho, A. H., Song, S. Y., Cho, S. O., Joung, I. S., and Nam, M. J., 2020, Induced polarization surveys of contaminants and intruduction to case studies, J. Soil Groundwater Environ., 25(2), 86-100, https://doi.org/10.7857/JSGE.2020.25.s1.086   DOI
10 Kim, H. J., 1986, Time-domain electromagnetic coupling in induced polarization survey on a unifrom earth, Jour. Korean Inst. Mining Geol., 19(3), 193-197, https://www.koreascience.or.kr/article/JAKO198623034628837.pdf
11 Kim, J. H., Supper, R., Tsourlos, P., and Yi, M. J., 2013, Four-dimensional inversion of resistivity monitoring data through Lp norm minimizations, Geophys. J. Int., 195(3), 1640-1656, doi:10.1093/gji/ggt324   DOI
12 Olhoeft, G. R., 1985, Low-frequency electrical properties, Geophysics, 50(12), 2492-2503, https://doi.org/10.1190/1.1441880   DOI
13 Son, J. S., Kim, J. H., and Yi, M. J., 2007, A new algorithm for SIP parameter estimation form multi-frequency IP data: Preliminary results, Exploration Geophysics, 38(1), 60-68, http://koreascience.kr/article/JAKO200734515055491.page   DOI
14 Pelton, W. H., Ward, S. H., Hallof, P. G., Sill, W. R., and Nelson, P. H., 1978, Mineral discrimination and removal of inductive coupling with multifrequency IP, Geophysics, 43, 588-609, https://doi.org/10.1190/1.1440839   DOI
15 Routh, P., and Oldenburg, D., 2001, Electromagnetic coupling in frequency-domain induced polarization data: a method for removal, Geophy. J. Int., 145(1), 59-76, https://doi.org/10.1111/j.1365-246X.2001.00384.x   DOI
16 Shin, S. W., 2021, Geophysicl logging of frequency-domain induced polarization for mineral exploration, Geophysics and Geophysical Exploration, 24(3), 73-77, https://doi.org/10.7582/GGE.2021.24.3.073   DOI
17 Zarif, F., Kessouri, P., and Slater, L., 2017, Recommendations for field-scale induced polarization (IP) data acquisition and interpretation, J. Envion. Eng. Geophys., 22(4), 395-410, https://doi.org/10.2113/JEEG22.4.395   DOI
18 Wynn, J. C., and Zonge, K. L., 1975, EM coupling, its intrinsic value, its removal and the cultural coupling problem, Geophysics, 40(5), 831-850, https://doi.org/10.1190/1.1440571   DOI
19 Yi, M. J., Kim, J. H., and Chung, S. H., 2003, Enhancing the resolving power of least-squares inversion with active constraint balancing, Geophysics, 68, 931-941, https://doi.org/10.1190/1.1581045   DOI
20 Sumner, J. S., 1976, Principles of Induced Polarization for Geophysical Exploration, Elsevier, Amsterdam. https://books.google.co.kr/books?hl=ko&lr=&id=nBEXTYVjFswC&oi=fnd&pg=PP1&dq=Sumner,+J.+S.,+1976,+Principles+of+Induced+Polarization+for+Geophysical+Exploration,+Elsevier,+Amsterdam.&ots=0Ebo0j9xcY&sig=WXdtazNP1yCsqcHXyH6YPsAdX2A#v=onepage&q=Sumner%2C%20J.%20S.%2C%201976%2C%20Principles%20of%20Induced%20Polarization%20for%20Geophysical%20Exploration%2C%20Elsevier%2C%20Amsterdam.&f=false
21 Vanhala, H., Soininen, H., and Kukkonen, I., 1992, Detecting organic chemical contaminants by spectral-induced polarization method in glacial till environment, Geophysics, 57(8), 1014-1017, https://doi.org/10.1190/1.1443312   DOI
22 Kim, B., Nam, M. J., Jang, H., Jang, H., Son, J. S., and Kim, H. J., 2017, The priciples and practice of induced polarizaiotn method, Geophysics and Geophysical Exploration, 20, 100-113, https://doi.org/10.7582/GGE.2017.20.2.100   DOI
23 Weller, A., Seichter, M., and, Kampke, A., 1996, Induced-polarization modeling using complex electrical conductivities, Geophy. J. Int., 2, 387-398, https://doi.org/10.1111/j.1365-246X.1996.tb04728.x   DOI
24 Seigel, H., Nabighian, M., Parasnis, D. S., and Vozoff, K., 2007, The early history of the induced polarization method, The Leading Edge, 26, 312-321, https://doi.org/10.1190/1.2715054   DOI
25 Son, J. S., Song, S. Y., and Nam, M. J., 2020, Complex resistivity survey for the evaluation of ground reinforcement in a karst area, Engineering Geology, 269, 10555, https://pubag.nal.usda.gov/catalog/6851020