[논문]시간영역 유도분극 자료로부터 Cole-Cole 변수 산출

김연정; 조인기

doi:10.7582/gge.2021.24.4.164

시간영역 유도분극 자료로부터 Cole-Cole 변수 산출
Extraction of Cole-Cole Parameters from Time-domain Induced Polarization Data 원문보기

지구물리와 물리탐사 = Geophysics and geophysical exploration, v.24 no.4, 2021년, pp.164 - 170

김연정 (강원대학교 지구물리학과) , 조인기 (강원대학교 지질, 지구물리학부)

초록
AI-Helper

주파수 및 시간영역 유도분극 탐사는 지하 매질의 분광 정보를 포함하고 있다. 분광 특성의 분석은 주로 주파수영역 유도분극 탐사에서 연구되어 왔으나, 근래에 시간영역 유도분극에서도 연구가 활발하게 이루어지고 있다. 이 연구에서는 반무한 균질 공간을 가정하고 측정된 2차 전위 및 전기비저항으로부터 Cole-Cole 변수를 추정하는 역산법을 개발하였다. 충전성, 완화시간 및 주파수 승수로 구성되는 Cole-Cole 변수들은 비독립적이기 때문에 통상적인 비선형 역산을 적용할 경우 느린 수렴속도, 적정 초기 모델 설정의 어려움, 지역 극소점, 발산 위험 등의 다양한 문제점이 발생한다. 이 연구에서는 격자 탐색법을 도입하여 참 모델에 근접한 초기 모델을 설정하는 효과적인 역산법을 개발하였다. 마지막으로 다양한 역산 실험을 통하여 개발된 역산법의 타당성을 검증하였다.

Abstract ▼ AI-Helper

Frequency-domain and time-domain induced polarization methods can provide spectral information about subsurface media. Analysis of spectral characteristics has been studied mainly in the frequency-domain, however, time-domain induced polarization research has recently become popular. In this study, assuming a homogeneous half-space model, an inversion method was developed to extract Cole-Cole parameters from the measured secondary potential or electrical resistivity. Since the Cole-Cole parameters of chargeability, time constant, and frequency index are not independent of each other, various problems, such as slow convergence rate, initial model problem, local minimum problem, and divergence, frequently occur when conventional nonlinear inversion is applied. In this study, we developed an effective inversion method using the initial model close to the true model by introducing a grid search method. Finally, the validity of the developed inversion method was verified using inversion experiments.

주제어

표/그림 (6)

그림 Fig. 1. The secondary potential and resistivity decay curve in time-domain induced polarization measurement.
그림 Fig. 2. Decay curves of the normalized secondary resistivity for various τ and c . (a) τ = 0.01 and (b) c = 0.5
그림 Fig. 3. (a) Distribution of normalized secondary resistivity in t, τ, c and (b) in τ, c domains at t = 130 ms.
그림 Fig. 4. Distribution of variance σ_r in the τ - c plane. The point at which the variance exhibits its minimum value approaches the true (τ, c).
그림 Fig. 5. The measured and calculated secondary resistivity curves and estimated chargeability.
표 Table 1. Cole-Cole parameters (m, τ, c) from the grid search and least-squares inversion. The (m, τ, c) from the grid search is used as an initial model for least-squares inversion.

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