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The analogy between sunquakes and water waves

机译：地震和水浪之间的类比

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摘要

To investigate the seismic waves generated at the surface of the convection zone by a sunquake, the solar convection zone is modeled as an incompressible fluid layer of finite depth which is excited by a pressure pulse just above the solar surface. Solutions for the surface displacement ζ as a function of time are obtained by solving the linearized Euler equations for wave propagation in an inviscid, incompressible fluid. Approximate solutions are derived using the method of stationary phase and formulas are obtained for the position of the wave crests versus time and the decay of the wave amplitude versus distance. Despite the very simple nature of the model, the resulting time–distance relation is found to exhibit the correct order of magnitude when compared to the observations of the flare initiated sunquake of 9 July 1996. However, the water wave model cannot fully explain the observations because, for one thing, the distance in between successive wave crests is greater than that seen in the observations. One may conclude that the sunquake is probably composed primarily of acoustic waves, that is, p modes and not f modes.
机译：为了研究由于地震在对流区表面产生的地震波，将太阳对流区建模为有限深度的不可压缩流体层，该流体层由太阳表面正上方的压力脉冲激发。通过解线性化的欧拉方程来求解在无粘性，不可压缩的流体中的波传播，可以获得表面位移ζ与时间的函数关系。使用固定相方法得出近似解，并获得波峰位置随时间变化以及波幅衰减随距离变化的公式。尽管该模型非常简单，但与1996年7月9日耀斑引发的地震的观测结果相比，发现时空关系显示出正确的数量级。但是，水波模型无法完全解释观测结果。因为，一方面，连续波峰之间的距离大于观测中看到的距离。可能会得出结论，地震可能主要由声波组成，即p模式而不是f模式。

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  • 来源
    《Solar Physics》 |2003年第2期|227-246|共20页
  • 作者

    J.J. Podesta;

  • 作者单位

    Courant Institute of Mathematical Sciences New York University;

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  • 正文语种 eng
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