IP Sensitivities of complex anisotropic subsurfaces

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Title:Main Title: IP Sensitivities of complex anisotropic subsurfaces
Description:Abstract: The inversion of Spectral Induced Polarization (SIP) data requires the knowledge of the sensitivity for computing iterative model updates (Kemna et al., 2000). SIP data can be described with frequency-dependent complex conductivities in the frequency domain (Ward, 1990), which defines the necessity for complex-valued sensitivities in IP inversion. In this work, we examine two approaches for calculating complex-valued sensitivities. The first part poses the extension of a real-valued analytical approach (Greenhalgh, 2009) to complex conductivities, which allows for computing complex sensitivities, in our case analytical sensitivities for homogeneous half spaces. In the second part, we investigate a numerical approach for the complex sensitivity evaluation over arbitrary subsurfaces based on the finite-element implementations of Oristaglio and Worthington (1980) and Kemna (2000). Anisotropic IP inversions require anisotropic complex sensitivities. Here, based again on Greenhalgh (2009) we present an algorithm to analytically calculate these sensitivities over a homogeneous half space. We compare the results with our anisotropic finite-element implementation, which is based on the computation of anisotropic complex potential distributions (Kenkel et al., 2012). An additional verification option for anisotropic complex sensitivities arises from the premise that isotropic complex sensitivities equal the sum of the individual anisotropic complex sensitivities in the case of an isotropic conductivity distribution. We use a 2.5 D approach, representing a 2 D complex conductivity distribution alongside with a 3 D electrical point source (e.g. Coggon, 1971).
Responsible Party
Creator:Johannes Kenkel (Author)
Publisher:CRC/TR32 Database (TR32DB)
Publication Year:2013
Topic
TR32 Topic:Other
Related Subproject:A3
Subject:Keyword: PhD Report
File Details
Filename:Report3_Kenkel_2012.pdf
Data Type:Text - Text
File Size:489 KB
Date:Available: 01.11.2012
Mime Type:application/pdf
Data Format:PDF
Language:English
Status:Completed
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Download Permission:Only Project Members
General Access and Use Conditions:According to the TR32DB data policy agreement.
Access Limitations:According to the TR32DB data policy agreement.
Licence:[TR32DB] Data policy agreement
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Specific Information - Report
Report Date:1st of November, 2012
Report Type:PhD Report
Report City:Bonn, Germany
Report Institution:Applied Geophysics Department Geodynamics / Geophysics, University of Bonn
Number of Pages:10 (1 - 10)
Further Information:TR32 Student Report Phase II
Metadata Details
Metadata Creator:Johannes Kenkel
Metadata Created:19.11.2013
Metadata Last Updated:19.11.2013
Subproject:A3
Funding Phase:2
Metadata Language:English
Metadata Version:V50
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