arXiv 1012.32592010-12-15physics.geo-phphysics.data-an

地球0S2自由振动的包络重构

Envelope Reconstruction of the 0S2 - free Oscillation of the Earth

Herbert Weidner

备注：: 14 pages, 17 figures

摘要：

2004年12月的地震引起了地球的自由振荡。在足球模式0S2下振动地球，将由于旋转产生的固有频率分成五个紧密相邻的单独分量。在309 μHz附近的频带中，这些频谱分量的总和产生一个拍频，使整个幅度包络具有特征性的规则模式。从所测量的包络中可以重构所产生的正弦信号的频率、幅度、相位和阻尼等参数。由于该方法对频率和相位的变化非常敏感，因此可以精确地确定这些量。结果取决于该网站的地理位置。进一步的结果是振幅减小的半衰期和谐振器Q。结果表明，五个单独的频率的相互作用可以解释为振幅调制，这需要在地球内部的非线性过程。

英文摘要：

The earthquake in December 2004 caused free oscillations of the Earth. Vibrates the earth in the football mode 0S2, splits the natural frequency due to rotation into five closely adjacent individual components. The sum of these spectral components in the frequency band near 309 μHz produces a beat that gives the overall amplitude envelope a characteristic, regular pattern. From the measured envelope the parameters frequency, amplitude, phase and damping of generating sinusoids can be reconstructed. Since the method is extremely sensitive to changes in frequency and phase, these quantities can be determined precisely. The results depend on the geographical location of the site. Further results are the half-life of the amplitude decrease and the resonator Q. It is shown that the interaction of the five individual frequencies can be interpreted as amplitude modulation, which requires a nonlinear process in the Earth's interior.

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