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The electrical conductivity of the mantle beneath Europe derived from C-responses from 3 to 720 hr

Nils Olsen
- 01 May 1998 - 
- Vol. 133, Iss: 2, pp 298-308
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TLDR
In this article, the authors applied the Z: Y-method to estimate the C-response of the Earth's magnetic vertical component and the horizontal gradient of the horizontal components of electromagnetic fluctuations.
Abstract
SUMMARY The C-response, which connects the magnetic vertical component and the horizontal gradient of the horizontal components of electromagnetic fluctuations, forms the basis for estimating the conductivity‐depth profile of the Earth. This paper describes new estimates of the C-response obtained from observatory hourly mean values. The Z: Y-method is applied, which means that the vertical component is used locally whereas the horizontal components are used globally by expansion into terms of spherical harmonics. A special eVort is made to obtain unbiased estimates of C. When applied to 90 months of hourly mean values from about 90 observatories, the method yields consistent results for European observatories in the entire period range from 3 to 720 hr, and for two diVerent source mechanisms (S and D st ). A good description of the source structure for individual time segments is essential. This was achieved by a separate spherical harmonic analysis of the data for each month (for D st ) or each day (for S), and by estimating a large number (120) of expansion coeYcients. The results are interpreted by means of 1-D conductivity models, which show that the upper mantle has remarkably little structure, with a monotonic decrease of resistivity from 100 V m near z=200 km to 0.7 V m below z=1000 km.

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Citations
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Extending comprehensive models of the Earth's magnetic field with Ørsted and CHAMP data

TL;DR: In this article, a new model of the near-Earth magnetic field has been derived using a comprehensive approach, which includes not only POGO and Magsat satellite data, but also data from the Orsted and CHAMP satellites.
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Global electromagnetic induction constraints on transition-zone water content variations

TL;DR: The results support the view that at least some of the water in the transition zone has been carried into that region by cold subducting slabs, and reveal variations in the electrical conductivity of the Transition zone of approximately one order of magnitude.
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The effect of water on the electrical conductivity of olivine aggregates and its implications for the electrical structure of the upper mantle

TL;DR: In this article, the electrical conductivity of San Carlos olivine aggregate of various water content was measured at a pressure of 10 GPa in a Kawai-type multi-anvil apparatus.
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Dry mantle transition zone inferred from the conductivity of wadsleyite and ringwoodite

TL;DR: There is no need to introduce a significant amount of water in the mantle transition to satisfy electrical conductivity constraints, according to the dry model mantle, which explains well the currently available conductivity–depth profiles obtained from geoelectromagnetic studies.
References
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Journal ArticleDOI

Occam's inversion; a practical algorithm for generating smooth models from electromagnetic sounding data

TL;DR: In this article, the authors proposed a smoothest model which fits the data to within an expected tolerance for the inversion of both magnetotelluric and Schlumberger sounding field data.
Journal ArticleDOI

Generalized Inverses, Ridge Regression, Biased Linear Estimation, and Nonlinear Estimation

TL;DR: In this article, the authors discuss a class of biased linear estimators employing generalized inverses and establish a unifying perspective on nonlinear estimation from nonorthogonal data.
Book

Anomalies of geomagnetic variations in the Southwestern United States

TL;DR: A survey with temporary geomagnetic field stations (Askania Variographs) has been conducted in the southwestern United States in order to study local differences of geOMagnetic variations as discussed by the authors.
Journal ArticleDOI

Geomagnetic Variations and the Electrical Conductivity of the Upper Mantle

TL;DR: The electrical conductivity of the upper mantle can be determined by comparing the measured response of the Earth to magnetic variations of all frequencies with the theoretical response of particular conductivity distributions as mentioned in this paper.

The inverse problem of geomagnetic induction

TL;DR: In this paper, a modified version of the method of GEL'FAND and LEVITAN, originally devised for the solution of inverse Sturm-LiouviIIe problems, is applied to empirical data, which previously have been interpreted by a differ-ent method.
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