Theoretical Background of the Vening Meinesz Isostatic Model

Theoretical Background of the Vening Meinesz Isostatic Model
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Vening Meinesz 等静压模型的理论背景

DOI:
10.1007/978-3-642-79721-7_28
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发表时间:
1995
期刊:
影响因子:
4.4
通讯作者:
H. Abd
H. Abd
中科院分区:
地球科学1区
文献类型:
--
作者:
H. Abd

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地壳可以看作是一个无限大的薄板。它的变形就可以用那个板块的变形来表示。给出了无限大薄板弯曲时的平衡方程。间接影响也被考虑在内。本文导出了浮置弯曲板平衡方程的精确解。文宁Meinesz均衡模型,它使用文宁Meinesz近似解的平衡方程的弯曲板,然后定义良好。文宁Meinesz莫霍面深度的推导。根据精确解和Vening Meinesz近似解计算了一个相当大的测试区的莫霍面深度。结果表明,Vening Meinesz成功地逼近了弯曲板平衡方程的精确解。
The earth’s crust can be viewed as an infinite thin plate. Its deformation can then be represented by the deformation of that plate. The equation of equilibrium for a floated bent infinite thin plate is given. The indirect effect is also taken into account. The exact solution of the equation of equilibrium for a floated bent plate is derived. The Vening Meinesz isostatic model, which uses the Vening Meinesz approximate solution for the equation of equilibrium for bent plates, is then well defined. The Vening Meinesz Moho depths are derived. The Moho depths according to both the exact solution and the Vening Meinesz approximate solution are calculated for a fairly large test area. The results show that Vening Meinesz had approximated the exact solution for the equation of equilibrium for bent plates successfully.