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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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