Abstract

The article gives the upper estimates for errors in determining the time of occurrence of earthquakes (origin time) τ₀ and the ratio of the velocities of longitudinal and shear wave g propagating from earthquakes. The study also considers cases when the origin time is considered known and the ratio of longitudinal and shear wave velocities is known. The article draws two main conclusions. The first is that to determine the origin time from the Wadati diagram, it makes sense to fix the slope of the graph. The value of this slope can be determined as the average of the slopes of the set of graphs. If we determine the origin time by plotting the Wadati diagram for each event, determining τ₀ and g at the same time, then the errors in determining τ₀ and, therefore, in determining the hypocenter can be significant. In the case when the slope of the Wadati diagram is fixed, the accuracy of determining t₀ and, therefore, earthquake hypocenters is increased. The second conclusionis that determining the change in the slope of the Wadati diagram over time for a particular seismically active region becomes very problematic, since the errors in determining the slope of the graph are comparable to variations in the slope due to changes in the stress state of the elastic medium in the region.

中文翻译：

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从瓦达蒂图确定纵波速度和横波速度的起源时间和比率的大部分误差估计

摘要

这篇文章给出了确定地震发生时间（起源时间）τ ₀和地震传播的纵横波速度g 比值的误差的上限估计。该研究还考虑了原点时间已知且纵波速度与横波速度之比已知的情况。文章得出两个主要结论。首先是为了从瓦达蒂图确定原点时间，固定图的斜率是有意义的。该斜率的值可以确定为该组图的斜率的平均值。如果我们通过为每个事件绘制瓦达蒂图来确定起源时间，同时确定 τ ₀和 g，那么确定 τ ₀的误差因此，在确定震源方面可能很重要。在瓦达蒂图的斜率固定的情况下，确定t ₀的精度提高，因此确定地震震源的精度提高。第二个结论是，确定特定地震活动区的瓦达蒂图的斜率随时间的变化变得非常困难，因为确定图的斜率的误差与应力状态变化引起的斜率变化相当区域的弹性介质。