Forward modeling magnetic fields of induced and remanent magnetization in the lithosphere using tesseroids

Baykiev, Eldar; Ebbing, Jörg; Brönner, Marco; Fabian, Karl

doi:10.1016/j.cageo.2016.08.004

Cited by 25 publications

(19 citation statements)

References 27 publications

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“…We solve the 3D heat conduction problem and determine the density in the mantle self-consistently based on temperature, pressure, and bulk composition. Here, we couple, via Curie temperature depth, the thermal output from LitMod with a spherical magnetic modeling software (Baykiev et al, 2016) in order to compute synthetic crustal magnetic anomalies.…”

Section: Discussionmentioning

confidence: 99%

“…For a modeling area of the considered size, magnetic anomalies need to be calculated within a spherical approach to account for possible edge and far-field effects (Baykiev et al, 2016). Here, we adopt an approach based on spherical prisms (tesseroids), with each having an uniform magnetization and susceptibility, to determine lithospheric magnetic anomalies (magnetic tesseroids software, Baykiev et al, 2016 IGRF12 model with datum 2016-01-01 is used here as the inducing field to set magnetization vectors in each tesseroid across the model. The susceptibility distribution in our crustal model is derived from the VIS model of Hemant (2003) dividing by the thickness between the top and bottom magnetic boundaries in our model.…”

Section: Magnetic Modelingmentioning

confidence: 99%

“…In onshore Ireland, the geometry of the sediments was extracted from active seismic experiments (Landes et al, 2005, and references therein). Additionally, we used information from a seismic line across 2005), and 4- Barton (1992), see text for more details.…”

Section: Crustal Seismic Constraints and Initial Lithospheric Structurementioning

confidence: 99%

“…Great Britain (Barton, 1992), which was not included originally in the compilation by Oakey and Stark (1995).…”

Section: Crustal Seismic Constraints and Initial Lithospheric Structurementioning

confidence: 99%

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Integrating Gravity and Surface Elevation With Magnetic Data: Mapping the Curie Temperature Beneath the British Isles and Surrounding Areas

2018

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In this work, we study the lithospheric structure of the British Isles using a methodology that allows for forward modeling of the Curie temperature depth based on seismic, elevation and gravity observations within an integrated geophysical-petrological approach (LitMod3D). We compute 3D thermal models and self-consistently determine the density in the mantle based on temperature, pressure, and bulk composition. Finally, we derive Curie temperature depth maps and forward calculate magnetic anomalies at the airborne level (5 km altitude) using a spherical magnetic modeling software (magnetic tesseroids) to estimate the geothermal magnetic signal. Our results show lateral lithospheric variations across the model domain, with Great Britain being characterized in general by thicker and colder lithosphere, especially in the south-east, and the thinnest and warmest lithosphere being located beneath west Scotland, Northern Ireland and in the north-west oceanic area. Our estimated Curie temperature depth map resembles the values obtained using other techniques (spectral method and surface heat flow inversion) in some areas, but discrepancies are notable in general. We determine that the effect of typical lateral temperature variations (i.e., Curie isotherm depth) accounts for 5-15%, on average, and up to 70% locally of the crustal magnetic signal at the airborne level. Our lithospheric models are in general agreement with published seismic tomography models as well as other geophysical studies.

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Section: Discussionmentioning

confidence: 99%

Section: Magnetic Modelingmentioning

confidence: 99%

Section: Crustal Seismic Constraints and Initial Lithospheric Structurementioning

confidence: 99%

“…Great Britain (Barton, 1992), which was not included originally in the compilation by Oakey and Stark (1995).…”

Section: Crustal Seismic Constraints and Initial Lithospheric Structurementioning

confidence: 99%

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Integrating Gravity and Surface Elevation With Magnetic Data: Mapping the Curie Temperature Beneath the British Isles and Surrounding Areas

2018

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“…However, modelling of aeromagnetic surveys requires a better representation of the source bodies and, therefore, often Cartesian or Fourier-based approaches are used [21]. A representation with magnetic tesseroids [22] provides a versatile discretization that can be used for modelling both satellite and airborne data. The forward modelling code of Reference [22] allows the calculation of the magnetic field in spherical coordinates using spherical prisms, which are also called tesseroids (magnetic sources).…”

Section: Introductionmentioning

confidence: 99%

Global High-Resolution Magnetic Field Inversion Using Spherical Harmonic Representation of Tesseroids as Individual Sources

2020

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In this study, we present a novel approach combining the advantages of tesseroids in representing geophysical structures though their voxel-like discretization features with a spherical harmonic representation of the magnetic field. Modelling of the Earth lithospheric magnetic field is challenging since part of the spectra is hidden by the core field and the forward modeled field of a lithospheric magnetization is always biased by the spectral range used. In our approach, a spherical harmonic representation of the magnetic field of spherical prisms (tesseroids) is used for high-resolution magnetic inversion of lithospheric field models. The use of filtered spherical harmonic models of the magnetic field of each tesseroid ensures that the resulting field matches the spectral range of the input data. For the inversion, we use the projected gradient method. The projected gradient method easily allows us to assign an initial guess (i.e., a-priori assumption) for the inversion and avoids negative values of susceptibilities. The latter is providing more plausible models since induced magnetization is assumed to be dominant over the continents and, for the oceans, a remanence model can be subtracted. We show an application of the technique to a synthetic dataset and a satellite-derived lithospheric field model where the model geometry is based on seismic information. We also demonstrate a proof-of-concept for high-resolution tile-wise inversion for the Bangui anomaly in Africa.

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Evaluation of gravitational curvatures of a tesseroid in spherical integral kernels

Deng

Shen

2017

J Geod

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Forward modeling magnetic fields of induced and remanent magnetization in the lithosphere using tesseroids

Cited by 25 publications

References 27 publications

Integrating Gravity and Surface Elevation With Magnetic Data: Mapping the Curie Temperature Beneath the British Isles and Surrounding Areas

Integrating Gravity and Surface Elevation With Magnetic Data: Mapping the Curie Temperature Beneath the British Isles and Surrounding Areas

Global High-Resolution Magnetic Field Inversion Using Spherical Harmonic Representation of Tesseroids as Individual Sources

Evaluation of gravitational curvatures of a tesseroid in spherical integral kernels

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