The explicit scalar equations of infinitesimal elastic-gravitational motion in the rotating, slightly elliptical fluid outer core of the Earth
The explicit scalar equations of infinitesimal elastic-gravitational motion in the rotating, slightly elliptical fluid outer core of the Earth
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DOI：
10.1111/j.1365-246x.2004.02238.x
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发表时间：
2004-05
影响因子：
2.8
通讯作者：
Chengli Huang;V. Dehant;X. Liao
中科院分区：
文献类型：
--
作者：
Chengli Huang;V. Dehant;X. Liao
Smith（1974）导出了一组旋转的、略呈椭圆形的地球的无穷小弹性-引力运动的标量方程。在流体外核中，切向力完全消失，横向位移场的微分方程不再成立，而其他微分方程需要求横向位移的导数，因此本文的目的是以显式的、易于编程的格式求出横向位移的导数以及其他微分方程。我们的推导比Smith（1974）的推导更直接、更明确。
Smith (1974) derived a set of scalar equations of infinitesimal elastic-gravitational motion for a rotating, slightly elliptical Earth. In the fluid outer core (FOC), the tangential tractions vanish identically and the differential equations for the transverse displacement fields do not hold any longer, but the derivative of the transverse displacements are needed in other differential equations, it is therefore the purpose of this paper to get the derivative of the transverse displacements as well as other differential equations in an explicit and ready-to-program format. Our derivation is shown to be more direct and explicit than that suggested by Smith (1974).