Semi-analytical Solution for Viscoelastic Relaxation in Eccentrically-nested Spheres Induced by Surface Toroidal Traction
Semi-analytical Solution for Viscoelastic Relaxation in Eccentrically-nested Spheres Induced by Surface Toroidal Traction
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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
DOI：
10.1007/s00024-009-0492-2
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发表时间：
2009
影响因子：
2
通讯作者：
Z. Martinec
中科院分区：
文献类型：
--
作者：
Z. Martinec
本文导出了非均匀球体中由表面环向力引起的粘弹性松弛的二维正演模拟的半解析解。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核。由于数值代码的基础上有限元或频谱有限差分技术建模粘弹性松弛的球形几何形状中存在的横向粘度变化正变得越来越受欢迎，可靠的例子，测试和验证这些代码是必不可少的。偏心嵌套的球解决方案已被测试，通过比较它与两个不同的结果：粘弹性松弛的解析解在同心嵌套的球和时域，频谱有限元数值解粘弹性松弛偏心嵌套的球，得到了很好的协议。
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.