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: | |
Language: | English |
Status: | Completed |
Constraints
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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