Validity of the dispersion relations in magnetotellurics: Part I—theory

Application of the dispersion relations (DR) in magnetotellurics (MT) is an efficient tool of post-processing and quality assessment of broadband field data. The main limitation of the approach is that it requires the observed transfer functions to be causal and minimum-phase (MP), which is formally...

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Bibliographic Details
Published inEarth, planets, and space Vol. 72; no. 1; pp. 1 - 18
Main Authors Zorin, Nikita, Aleksanova, Elena, Shimizu, Hisayoshi, Yakovlev, Denis
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 03.02.2020
Springer
Springer Nature B.V
SpringerOpen
Subjects
1. Geomagnetism
Broadband
Causality
Direct reduction
Dispersion
Dispersion relations
Earth and Environmental Science
Earth Sciences
Geology
Geophysics/Geodesy
Magnetic fields
Magnetotellurics
Measurement
Minimum phase
Phase out of quadrant
Post-production processing
Quality assessment
Transfer functions
Japan
Magnetotellurics
Phase out of quadrant
Causality
Dispersion relations
Minimum phase
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Summary:Application of the dispersion relations (DR) in magnetotellurics (MT) is an efficient tool of post-processing and quality assessment of broadband field data. The main limitation of the approach is that it requires the observed transfer functions to be causal and minimum-phase (MP), which is formally secured only for 1-D and some types of 2-D impedances. As a consequence, many MT practitioners involuntarily restrict the DR application to apparent resistivity curves acquired in relatively simple geological conditions. In the present research, we show how an inherently non-MP or non-causal transfer function could be recognized, and propose a universal technique, which makes it possible to correctly apply the DR virtually to any set of field MT data.
ISSN:1880-5981
1343-8832
1880-5981
DOI:10.1186/s40623-020-1133-4