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首页> 外文期刊>Pure and Applied Geophysics >Semi-analytical Solution for Viscoelastic Relaxation in Eccentrically-nested Spheres Induced by Surface Toroidal Traction
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Semi-analytical Solution for Viscoelastic Relaxation in Eccentrically-nested Spheres Induced by Surface Toroidal Traction

机译：表面环形牵引引起的偏心嵌套球体粘弹性松弛的半解析解

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摘要

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.
机译：得出了由表面环形力引起的非均质球体中粘弹性松弛的二维正演模型的半解析解。该模型由同心嵌套的弹性岩石圈，粘弹性地幔和偏心嵌套的粘弹性岩心组成。由于基于有限元或频谱有限差分技术的数字代码在存在侧向粘度变化的情况下对球形几何体中的粘弹性弛豫进行建模的方法正变得越来越流行，因此用于测试和验证此类代码的可靠示例至关重要。通过与两个不同的结果进行比较，对偏心嵌套球体溶液进行了测试：同心嵌套球体的粘弹性松弛的解析解和时域，偏心嵌套球体的粘弹性松弛的频谱有限元数值解，具有出色的已达成协议。

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