The paper presents the discussion on problems involving the reproduction of the acceleration field of ground vibrations based on the pointwise registration carried out in coal mines subjected to seismic hazard. Simple model that takes into account directional effects of seismic wave attenuation has been presented. It has been accepted the assumption that the contours of the peak ground accelerations take the shape of an ellipse. The carried out calculations for three cases of very strong ground vibrations caused by mine tremors which occurred in three regions of coal mines, show that the application of the proposed model allows us to reduce the value of standard error of the estimate as compared to the results obtained with the commonly applied regression model, which does not allow for the directional effects of attenuation. For the investigated regions, it was showed, that the directional effects of the attenuation depends on the directions of the nearest big tectonic faults.

中文翻译：

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矿山震颤引起的地面振动的方向衰减关系

本文讨论了基于地震灾害煤矿的逐点配准的地面振动加速度场再现问题。已经提出了考虑地震波衰减的方向效应的简单模型。已经接受的假设是峰值地面加速度的轮廓呈椭圆形。对发生在三个煤矿区的地震引起的非常强烈的地面振动的三种情况进行的计算表明，与结果相比，该模型的应用使我们能够降低估计的标准误差值。使用常用的回归模型获得，该模型不允许衰减的方向效应。