Semi-analytical Solution for Viscoelastic Relaxation in Eccentrically-nested Spheres Induced by Surface Toroidal Traction |
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| Authors: | Zdeněk Martinec |
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| Institution: | 1. GeoForschungsZentrum Potsdam, Section 1.5, Earthsystem Modelling, Telegrafenberg, D-14473, Potsdam, Germany
2. Department of Geophysics, Faculty of Mathematics and Physics, Charles University, V Hole?ovi?kách 2, 180 00, Prague 8, Czech Republic
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| Abstract: | A semi-analytical solution to the 2-D forward modelling of viscoelastic relaxation in a heterogeneous sphere induced by a surface toroidal force is derived. The model consists of a concentrically-nested elastic lithosphere, a viscoelastic mantle, and an eccentrically-nested viscoelastic core. Since numerical codes based on finite-element or spectral-finite-difference techniques for modelling viscoelastic relaxation in a spherical geometry in the presence of lateral viscosity variations are becoming more popular, reliable examples for testing and validating such codes are essential. The eccentrically-nested sphere solution has been tested by comparing it with two distinct results: The analytical solution for viscoelastic relaxation in concentrically-nested spheres and the time domain, spectral finite-element numerical solution for viscoelastic relaxation in eccentrically-nested spheres, with excellent agreement being obtained. |
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