Mathematical models of the Earth’s density structure and their applications in gravimetric forward modeling
A generalized mathematical model of the Earth’s density structure is presented in this study. This model is defined based on applying the spectral expressions for a 3-D density distribution within the arbitrary volumetric mass layers. The 3-D density model is then converted into a form which describ...
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| Format: | Article |
| Language: | English |
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Earth Science Institute, Slovak Academy of Sciences, Slovakia
2015-06-01
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| Series: | Contributions to Geophysics and Geodesy |
| Subjects: | |
| Online Access: | https://journal.geo.sav.sk/cgg/article/view/127 |
| Summary: | A generalized mathematical model of the Earth’s density structure is presented
in this study. This model is defined based on applying the spectral expressions for
a 3-D density distribution within the arbitrary volumetric mass layers. The 3-D density
model is then converted into a form which describes the Earth’s density structure by means
of the density-contrast interfaces between the volumetric mass layers while additional correction
terms are applied to account for radial density changes. The applied numerical
schemes utilize methods for a spherical harmonic analysis and synthesis of the global
density structure models. The developed the Earth’s density models are then defined in
terms of the spherical density and density-contrast functions. We also demonstrate how
these Earth’s density models can be applied in the gravimetric forward modeling and
discuss some practical aspects of representing mathematically density structures within
particular components of the Earth’s interior. |
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| ISSN: | 1338-0540 |