A compact representation of magnetotelluric responses for two-layer models
✍ Scribed by László Szarka
- Book ID
- 104461639
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 600 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0016-8025
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✦ Synopsis
In this paper the locations where ρ~app~ = ρ~1~ and ϕ = π/4 and where these parameters reach an extreme value in two‐layer magnetotelluric (MT) sounding curves are summarized in an extremely compact form. The key parameters over two‐layer models with conductivities σ~1~, σ~2~ and upper layer thickness h are the real S and α, where S is the conductivity contrast and α is the distance between the observation site and the conductivity interface, normalized to the half skindepth in the first layer. If the impedance components, various resistivity definitions ( ρ~Re Z~, ρ~Im Z~ and ρ~|Z|~, based on different parts of the complex impedance Z ) and the magnetotelluric phase ϕ are derived as a function of S and α, then the conditions for the apparent resistivity ρ~app~ and the phase ϕ are that they either satisfy ρ~app~ = ρ~1~ and ϕ = π/4 or attain extreme values which can be given in terms of simple algebraic equations between S and α. All equations are valid for observation sites at any depth 0 ≤ z ≤ h in the first layer. The set of equations, presented in a tabular form, may make it possible to determine a layer boundary from the short period part of the sounding curves, in particular the ρ~Re Z~ and the ϕ~MT~ curves.
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