Gravitational viscoelastic relaxation of eccentrically nested spheres |
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| Authors: | Zdenk Martinec & Detlef Wolf |
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| Institution: | GeoForschungsZentrum Potsdam, Division 1: Kinematics and Dynamics of the Earth, Telegrafenberg, D-14473, Potsdam, Germany. E-mail: |
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| Abstract: | We present a semi-analytical solution to the 2-D forward modelling of viscoelastic relaxation in a heterogeneous model consisting of eccentrically nested spheres. Several numerical methods for 2-D and 3-D viscoelastic relaxation modelling have been applied recently, including finite-element and spectral-finite-difference schemes. The present semi-analytical approach provides a model response against which more general numerical algorithms can be validated. The eccentrically nested sphere solution has been tested by comparing it with the analytical solutions for viscoelastic relaxation in a homogeneous sphere and in two concentrically nested spheres, and good agreement was obtained. |
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| Keywords: | normal modes spherical harmonics viscoelasticity viscosity |
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