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Some analytical and numerical solutions for the horizontal displacement that results from the loading of simple earth models.

机译:由简单地球模型的加载导致的水平位移的一些解析和数值解。

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摘要

As a result of glacial isostatic adjustment the Earth's surface is experiencing a slow, three-dimensional deformation. This thesis presents a detailed study of the horizontal aspect of this deformation, parallel to the surface of the Earth. The analytical solutions for the horizontal displacement that results from the loading of simple earth models are derived from the set of equations that describe the system. Numerical results using the mathematical manipulation program, Matlab, and the finite element modeling program, ABAQUS, are found to be accurate through comparisons with the analytical solutions. ABAQUS is used to study the effect of loading on more complex earth models that include lateral variations, nonlinear rheology and time dependent creep. For most models a maximum horizontal displacement is obtained at the edge of the load. This motion is found to be most sensitive to the thickness of the elastic lithosphere, lateral variations and nonlinear rheology.
机译:由于冰川的等静压调节,地球表面正在经历缓慢的三维变形。本文对这种变形的水平方向进行了详细的研究,平行于地球表面。由简单地球模型的加载导致的水平位移的解析解是从描述系统的一组方程中得出的。通过与分析解决方案进行比较,发现使用数学操纵程序Matlab和有限元建模程序ABAQUS的数值结果是准确的。 ABAQUS用于研究载荷对更复杂的地球模型的影响,这些模型包括横向变化,非线性流变学和随时间变化的蠕变。对于大多数模型,在负载边缘可获得最大水平位移。发现该运动对弹性岩石圈的厚度,横向变化和非线性流变学最敏感。

著录项

  • 作者单位

    University of Calgary (Canada).;

  • 授予单位 University of Calgary (Canada).;
  • 学科 Geophysics.
  • 学位 M.Sc.
  • 年度 2000
  • 页码 207 p.
  • 总页数 207
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 地球物理学;
  • 关键词

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