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IP Modeling and Inversion Using Complex Resistivity  

Son, Jeong-Sul (Geotechnical Engineering Division, Korea Institute of Geoscience and Mineral Resources)
Kim, Junhg-Ho (Geotechnical Engineering Division, Korea Institute of Geoscience and Mineral Resources)
Yi, Myeong-Jong (Geotechnical Engineering Division, Korea Institute of Geoscience and Mineral Resources)
Publication Information
Geophysics and Geophysical Exploration / v.10, no.2, 2007 , pp. 138-146 More about this Journal
Abstract
This paper describes 2.5D induced polarization (IP) modeling and inversion algorithms using complex resistivity. The complex resistivity method has merits for acquiring more valuable information about hydraulic parameters and pore fluid than the conventional IP methods. The IP modeling and inversion algorithms are developed by allowing complex arithmetic in existing DC modeling and inversion algorithms. The IP modeling and inversion algorithms use a 2.5D DC finite-element algorithm and a damped least-squares method with smoothness constraints, respectively. The accuracy of the IP modeling algorithm is verified by comparing its responses of two synthetic models with two different approaches: linear filtering for a three-layer model and an integral equation method for a 3D model. Results from these methods are well matched to each other. The inversion algorithm is validated by a synthetic example which has two anomalous bodies, one is more conductive but non-polarizable than the background, and the other is polarizable but has the same resistivity as the background. From the inverted section, we can cleary identify each anomalous body with different locations. Furthermore, in order to verify its efficiency to the real filed example, we apply the inversion algorithm to another three-layer model which includes phase anomaly in the second layer.
Keywords
Complex resistivity; IP modeling and Inversion; finite element method; damped least-squares inversion;
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1 박권규, 1994, 유한요소법을 이용한 3차원 전기비저항 모델링 및 지형보정에 관한 연구, 공학석사 학위 논문, 서울대학교
2 오석훈, 1994, 유한요소법을 이용한 2차원 전기탐사의 지형보정, 교육학 석사 학위 논문, 서울대학교
3 Borner, F. D., Schopper, J. R., and Weller, A., 1996, Evaluation of transport and storage properties in the soil and groundwater zone from induced polarization measurements, Geophysical Prospecting, 44, 583-601   DOI   ScienceOn
4 Lesmes, D. P., and Frye, K. M., 2001, Influence of pore fluid chemistry on the complex conductivity and induced-polarization responses of Berea sandstone, Journal of Geophysical Research, 106, 4070-4090
5 Pridmore, D. F., Hohmann, G. W., Ward, S. H., and Sill, W. R., 1981, An investigation of finite element modeling for electrical and electromagnetic data in three-dimensions, Geophysics, 46, 1009-1024   DOI   ScienceOn
6 Schon, J. H., 1996, Physical properties of rocks-Fundamentals and principles of petrophysics, Elsevier Science Ltd
7 Fink, J. B., McAlister, E. O., Sternberg, B. K., Wieduwilt, W. G., and Ward, S. H., Eds., Induced polarization: Applications and case histories, Investigations in Geophysics No. 4 Soc. Expl. Geophys., 150-178
8 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   DOI   ScienceOn
9 Oldenburg, D. W., and Li, Y., 1994, Inversion of induced polarization data, Geophysics, 59, 1327-1341   DOI   ScienceOn
10 Marshall, D. J., and Madden, T. R., 1959, Induced polarization, a study of its causes, Geophysics, 59, 1327-1341   DOI   ScienceOn
11 Vanhala, H., and Soininen, H., 1995, Laboratory technique for measurement of spectral induced polarization response of soil samples, Geophysical Prospecting, 43, 655-676   DOI   ScienceOn
12 Dey, A., and Morrison., H. F., 1976, Resistivity modeling for arbitrarily shaped two-dimensional structures, Geophyscial Prospecting, 27, 106-136
13 Dey, A., and Morrison., H. F., 1979, Resistivity modeling for arbitrarily shaped two-dimensional structures, Geophyscial Prospecting, 27, 106-136   DOI   ScienceOn
14 Seigel, H. O., 1959, Mathematical formulation and type curves for induced polarization, Geophysics, 24, 547-565   DOI
15 Weller, A., Seichter, M., and Kampke, A., 1996, Inducedpolarization modeling using complex conductivities, Geophyical Journal International, 127, 387-398   DOI   ScienceOn
16 Kemna, A., Binley, A., Ramirez, A., and Daily, W., 2000, Complex resistivity tomography for environmental applications, Chemical Engineering Journal, 77, 11-18   DOI   ScienceOn
17 Olhoeft, G. R., 1985, Low-frequency electrical properties, Geophysics, 50, 2492-2503   DOI   ScienceOn
18 Waxmann, M. H., and Smits, L. J. M., 1968, Electrical conductivities in oil-bearing shaly sands, Society of Petroleum Engineers Journal, 8, 107-122   DOI
19 Kemna, A., Binley, A., and Lee, S., 2004, Crosshole IP imaging for engineering and environmental applications, Geophysics, 69, 97-107   DOI   ScienceOn
20 Vinegar, H. J., and Waxman, M. H., 1984, Induced polarization of shaly sands, Geophysics, 49, 1267-1287   DOI   ScienceOn
21 Borner, F. D., Gruhne, M., and Schon, J. H., 1993, Contamination indications derived from electrical properties in the soil and groundwater zone from induced polarization measurements, Geophysical Prospecting, 44, 583-601   DOI   ScienceOn