시간 영역 유도분극 탐사 감쇠 곡선에서 미분 분극률에 기초한 IP 매개변수 도출 = Derivation of Induced Polarization Parameters from Time-Domain IP Survey Decay Curve Based on Differential Polarizability

국문 초록 (Abstract)

이 논문은 시간 영역 유도분극(induced polarization; IP)의 감쇠 곡선을 로그 시간에 대해 미분하여 미분 분극률(differential polarizability; DP) 곡선을 구성하였다. 이 DP 곡선이 광대역 유도분극(spectral IP; SIP) 탐사의 위상 곡선과 유사하다는 점을 이용하여 IP 매개변수(충전율(), 시간상수(), 진동수지수())를 도출하였다. 동일한 크기의 충전율 반응이더라도 매질 특성에 따라 이완 매질의 입자 분포, 종류, 입도 분포 정보를 내포하고 있기 때문에 매개 변수 도출하여 분석할 필요가 있다. 미분 분극률 곡선은 시간 영역 IP에서 송신원의 길이(주기)와 IP 매개변수의 크기에 따라 달라지며, 송신원의 길이가 길어질수록 SIP의 위상 곡선과 유사해지는 형태를 보였다. 또한, 감쇠 곡선에서 도출한 IP 매개변수보다 미분 분극률 곡선에서 도출한 IP 매개변수가실제 매개변수와 더 유사함을 확인하였다. 이러한 분석은 실내 실험 자료에서도 유사하게 적용되었다. 이 결과는 미분 분극률 곡선을 이용한 해석이 현장에서 시간 영역 IP 탐사만 수행하더라도, 실내 SIP 실험 결과와 비교 분석할 수 있음을 제시한다.

다국어 초록 (Multilingual Abstract)

The decay curve of time-domain induced polarization (TDIP) was differentiated with respect to logarithmic time to construct the differential polarizability (DP) curve. This study utilized the resemblance between the DP curve and the phase curve of spectral induced polarization (SIP) to derived IP parameters (, , ). The DP curve was observed to vary with the period of the transmitter in time-domain IP, and the magnitude of the IP parameters, showing increased resemblance to the SIP phase curve as the transmitter period increased. Furthermore, the IP parameters derived from the DP curve more closely aligned with the intrinsic parameters compared to those derived from the decay curve. This analysis was similarly applicable to laboratory experiment data, suggesting that TDIP measurements in the field could facilitate comparative analysis with laboratory SIP experiment results.

참고문헌 (Reference)

• 1 Rücker, C., "pyGIMLi : An open-source library for modelling and inversion in geophysics" 109 : 106-123, 2017
• 2 Buchheim, W., "Zur Theorie der induzierten galvanischen Polarisation in Festkörpern mit elektrolytischer Porenfüllung" 88 : 53-72, 1979
• 3 Leroux, V., "Time-domain IP and resistivity sections measured at four landfills with different contents" European Association of Geoscientists & Engineers 2010
• 4 Titov, K., "Theoretical and experimental study of time domain-induced polarization in water-saturated sands" 50 : 417-433, 2002
• 5 Maurya, P. K., "Subsurface imaging of water electrical conductivity, hydraulic permeability and lithology at contaminated sites by induced polarization" 213 : 770-785, 2018
• 6 Johansson, S., "Spectral induced polarization of limestones : time domain field data, frequency domain laboratory data and physicochemical rock properties" 220 : 928-950, 2020
• 7 Martin, T., "Spectral induced polarization : Frequency domain versus time domain laboratory data" 225 : 1982-2000, 2021
• 8 Kim, B., "Simultaneous inversion of spectral IP data with frequency constraints" 198 : 104553-, 2022
• 9 Major, J., "Restrictions on the use of Cole-Cole dispersion models in complex resistivity interpretation" 46 : 916-931, 1981
• 10 Fiandaca, G., "Resolving spectral information from time domain induced polarization data through 2-D inversion" 192 : 631-646, 2013
• 11 Slater, L. D., "Resistivity and induced polarization monitoring of salt transport under natural hydraulic gradients" 65 : 408-420, 2000
• 12 Tarasov, A., "Relaxation time distribution from time domain induced polarization measurements" 170 : 31-43, 2007
• 13 Wait, J. R., "Relaxation phenomena and induced polarization" 22 (22): 107-127, 1984
• 14 Binley, A., "Relationship between spectral induced polarization and hydraulic properties of saturated and unsaturated sandstone" 41 : W12417-, 2005
• 15 Debye, P., "Polare molekeln" Hirzel 1929
• 16 Tarasov, A., "On the use of the Cole–Cole equations in spectral induced polarization" 195 : 352-356, 2013
• 17 Gurin, G., "New equipment for high-acuracy laboratory measurements of spectral induced polarization of rock samples in the time-and frequency domains : Testing of laboratory multifunction potentiostat-galvanostat" 203 : 104703-, 2022
• 18 Olsson, P. -I., "Measuring time-domain spectral induced polarization in the on-time : decreasing acquisition time and increasing signal-to-noise ratio" 123 : 316-321, 2015
• 19 Weller, A., "Measurements of spectral induced polarization for environmental purposes" 27 : 329-334, 1996
• 20 Pelton, W., "Inversion of two-dimensional resistivity and induced-polarization data" 43 : 788-803, 1978
• 21 Kim, B., "Inversion of time-domain induced polarization data based on time-lapse concept" 152 : 26-37, 2018
• 22 Johansson, S., "Influence of non-aqueous phase liquid configuration on induced polarization parameters : Conceptual models applied to a time-domain field case study" 123 : 295-309, 2015
• 23 Sogade, J. A., "Induced-polarization detection and mapping of contaminant plumes" 71 : B75-B84, 2006
• 24 Marshall, D. J., "Induced polarization, a study of its causes" 24 : 790-816, 1959
• 25 Kessouri, P., "Induced polarization applied to biogeophysics : recent advances and future prospects" 17 : 595-621, 2019
• 26 Slater, L. D., "IP interpretation in environmental investigations" 67 : 77-88, 2002
• 27 Friedrich, C., "Generalized Cole-Cole behavior and its rheological relevance" 31 : 309-322, 1992
• 28 Martin, T., "Evaluation of spectral induced polarization field measurements in time and frequency domain" 180 : 104141-, 2020
• 29 Chelidze, T., "Electrical spectroscopy of porous rocks : a review—I. Theoretical models" 137 : 1-15, 1999
• 30 Komarov, V., "Electrical Prospecting for Induced Polarization Method" Nedra, Leningrad 1980
• 31 Komarov, V., "Ekektrorazvedka metodom vyzvannoi polarizatsii(Electrical Prospecting with the Induced Polarization Method)" Nedra 1980
• 32 Cole, K. S., "Dispersion and absorption in dielectrics I. Alternating current characteristics" 9 : 341-351, 1941
• 33 Dias, C. A., "Developments in a model to describe low-frequency electrical polarization of rocks" 65 : 437-451, 2000
• 34 Kim, B., "Development and a comparative analysis of interpretation techniques for induced-polarization methods based on simultaneous inversion method" Sejong University 2022
• 35 Orozco, A. F., "Delineation of subsurface hydrocarbon contamination at a former hydrogenation plant using spectral induced polarization imaging" 136 : 131-144, 2012
• 36 Guptasarma, D., "Computation of the time-domain response of a polarizable ground" 47 : 1574-1576, 1982
• 37 Yuval, "Computation of Cole-Cole parameters from IP data" 62 (62): 436-448, 1997
• 38 Orozco, A. F., "Complex-conductivity imaging for the understanding of landslide architecture" 243 : 241-252, 2018
• 39 Alvarez, R., "Complex dielectric permittivity in rocks : A method for its measurement and analysis" 38 : 920-940, 1973
• 40 Leroy, P., "Complex conductivity of water-saturated packs of glass beads" 321 : 103-117, 2008
• 41 Johansson, B., "Comparisons of 2D-and 3D-inverted resistivity data as well as of resistivity-and IP-surveys on a landfill" European Association of Geoscientists & Engineers 2007
• 42 Zonge, K. L., "Comparison of time, frequency, and phase measurements in induced polarization" 20 (20): 626-648, 1972
• 43 Revil, A., "Comment on"Generalized effective-medium theory of induced polarization"" 75 : X7-X9, 2010
• 44 Ghorbani, A., "Bayesian inference of the Cole–Cole parameters from time-and frequency-domain induced polarization" 55 : 589-605, 2007
• 45 Gazoty, A., "Application of time domain induced polarization to the mapping of lithotypes in a landfill site" 16 : 1793-1804, 2012
• 46 Kemna, A., "An overview of the spectral induced polarization method for near-surface applications" 10 : 453-468, 2012