The relationship between the spectral function and the underlying conductivity structure in 1-D magnetotellurics

Details The relationship between the spectral function and the underlying conductivity structure in 1-D magnetotellurics The relationship between the spectral function and the underlying conductivity structure in 1-D magnetotellurics

Jun 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005geoji.161..566w&link_type=abstract

Geophysical Journal International, Volume 161, Issue 3, pp. 566-590.

Physics

Scientific paper

The frequency response c(ω) in 1-D magnetotellurics admits a well-known integral representation with kernel 1/(λ+iω) and non-negative spectral function w(λ), λ>= 0. The purpose of this paper is to elucidate the hidden, but fundamental relationship between w(λ) and the underlying conductivity structure σ(z). The most important criterion for classifying the conductivity structure is the existence of moments of w(λ): if all moments exist, σ(z) consists of a finite or infinite number of thin sheets; the sheet parameters are obtained from orthogonal polynomials associated with the weight function w(λ). If no moment (or only a finite number of moments) exists, σ(z) contains sections with a piecewise continuous conductivity structure, possibly covered by thin sheets. In both cases, the spectrum may be continuous, completely discrete or a mixture of both. The great variety of possible spectral functions is illustrated by a plethora of examples. The present investigation has no immediate impact on practical inversion because the unstable determination of w(λ) is mostly circumvented in the inversion of experimental data. Therefore, the rich morphology of the spectral function generally has escaped our attention.

Affiliated with

Also associated with

No associations

Rating

The relationship between the spectral function and the underlying conductivity structure in 1-D magnetotellurics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The relationship between the spectral function and the underlying conductivity structure in 1-D magnetotellurics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The relationship between the spectral function and the underlying conductivity structure in 1-D magnetotellurics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-873925