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   Curie point depth model

The data have been obtained as a result of research that included the development of an algorithm for calculating the depth of the Curie point from magnetic anomaly model.

As part of the development of an algorithm for calculating the depth of the Curie point, the greatest emphasis was placed on calculations based in the spectral region. The program is based on a study by Tanaka et al., 1999, where the author shows a mathematical apparatus that analyzes special points in the magnetic field spectrum.

According to this algorithm, the anomalous magnetic field is recalculated poleward and decomposed into spherical harmonics using the Fourier transform for a point located in the center of the selected area. During the calculations, two types of spectrum are analyzed - with and without normalization to the wave number. Next, tangents are drawn to the field spectrum graphs at points corresponding to the deep field sources, and the depths of the upper and lower edges of the magnetically active surface are calculated from the frequency values.

This algorithm has been modified for area calculations by applying calculations in the “live form” window. Also, a block for inputting boundary conditions has been developed - the maximum and minimum possible depths of the magnetically active surface.

To obtain more detailed results, various variations in the size of the area window were tested, which are used to calculate values at each point in space. Additionally, test calculations are carried out using data of various discreteness (with area steps from 0.1° äî 0.002°).

Methodologically, two algorithms have been created based on the approximation of the main magnetic surface by an infinitely extended horizontal layer [Tanaka et al., 1999], as well as a method with decomposition of characteristics in the spectral region, obtaining several characteristics of the magnetic layer [Bouligand et al., 2009]. These calculations were carried out using a relevant detailed lithospheric magnetic field model
[Thebault et al., 2021].

The data file has the following designation: CurieDepth_Arctic.dat
CurieDepth_format.pdf - description of data format.


A unified model of the Curie point depth based on heat flow data

References:

    Tanaka A., Okubo Y., Matsubayashi O.
Curie point depth based on spectrum analysis of the magnetic anomaly data in East and Southeast Asia
Tectonophysics. 1999. Vol. 306. Is. 3. P. 461–470. https://doi.org/10.1016/S0040-1951(99)00072-4

    Bouligand C., Glen J., Blakely R.
Mapping Curie temperature depth in the western United States with a fractal model for crustal magnetization.
Journal of Geophysical Research. 2009. Vol. 114. Is. B11. https://doi.org/10.1029/2009JB006494

    Thebault E., Hulot G., Langlais B., & Vigneron P.
A spherical harmonic model of Earth's lithospheric magnetic field up to degree 1050.
Geophysical Research Letters. 2021. Vol. 48. Is. 21. https://doi.org/10.1029/2021GL095147

URL:   http://www.wdcb.ru/arctic_antarctic/arctic_CurieDepth.html

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