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首页> 外文期刊>Pure and Applied Geophysics >Radiation from a Finite Reverse Fault in a Half Space
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Radiation from a Finite Reverse Fault in a Half Space

机译：半空间有限反向故障的辐射

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摘要

— Using a set of well-known results for the seismic field radiated by a simple dip-slip dislocation in a half space, we study interesting details of the motion at the surface of the half space. The static solution for a dislocation in a half space was found by Freund and Barnett in 1976. The corresponding elastodynamic solution was solved exactly in the Fourier and Laplace domain by several authors about 20 years ago, however its properties remained unexplored because of analytical difficulties. We remove these difficulties and show that the solution contains three important phenomena: Seismic wave fronts of P, S and SP type; the near-field pulse associated with the propagation of the dislocation front; and the long-time elastic response that converges toward the static solution of Freund and Barnett. Based on these results we show that solutions to all these problems are self-similar and homogeneous in x/h and αt/h so that when the fault depth h approaches 0, the solutions become concentrated near the origin and around the P, S and surface wave travel times. This explains several paradoxes in the radiation from dip-slip faults; among these the most notable are the presence of a point force singularity at the tip of a surface breaking fault and the reduction in high frequency radiation near the surface.
机译：—使用一组在半空间中简单的滑移错位所辐射的地震场的著名结果，我们研究了半空间表面上有趣的运动细节。 Freund和Barnett于1976年找到了半空间位错的静态解。大约20年前，几位作者在傅里叶和拉普拉斯域中精确地求解了相应的弹性动力学解，但是由于分析上的困难，其性质仍未得到探索。我们消除了这些困难，并表明该解决方案包含三个重要现象：P，S和SP型地震波阵面；与位错前沿的传播有关的近场脉冲；以及长期的弹性反应收敛到弗氏和巴尼特的静态解。基于这些结果，我们表明，所有这些问题的解决方案在x / h和αt/ h中都是自相似且同质的，因此当断层深度h接近0时，解决方案将集中在原点附近以及P，S和H周围。面波传播时间。这就解释了由倾滑断层引起的辐射中的一些悖论。其中最显着的是在表面断裂断层的尖端处存在点力奇异性，并且降低了表面附近的高频辐射。

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