Reply to T. Masuda and M. Ohtake's “Comment on ‘A new attenuation relation for peak horizontal acceleration of strong earthquake ground motion in Japan’”
Reply to T. Masuda and M. Ohtake's “Comment on ‘A new attenuation relation for peak horizontal acceleration of strong earthquake ground motion in Japan’”
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DOI：
10.1785/bssa0820010523
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发表时间：
1990-08
影响因子：
3
通讯作者：
Y. Fukushima;Teiji Tanaka
中科院分区：
文献类型：
--
作者：
Y. Fukushima;Teiji Tanaka
本文提出了一个适用于日本近震源区的水平加速度峰值衰减关系式。该数据库由日本28次地震和美国等国家15次地震的峰值地面加速度的1372个水平分量组成。以前对日本数据的大多数研究发现，描述加速度随距离增加而减小的系数明显小于分析单个地震所发现的系数。这一现象进行了检查，发现使用一般的非分层多元回归分析的结果。本分析使用两步分层回归过程和衰减模型，该模型考虑了几何扩展和滞弹性衰减，但在很短的距离内具有与震级无关的形状。在日本得到的关系式是log 10 A = 0.41 M − log 10（R + 0.032 10 0.41 M）− 0.0034 R + 1.30其中A是每个地点两个水平分量的峰值加速度的平均值（cm/sec 2），R是地点和断层破裂之间的最短距离（km），M是面波震级。峰值水平加速度在震源区的中位数估计为620厘米/秒2，独立的地震震级。四种不同的地面条件（岩石，硬，中，软土）的衰减关系的影响进行了研究。岩石和软土场地的平均峰值水平加速度分别为公式预测值的60%和140%。
Abstract A new attenuation relation for peak horizontal acceleration applicable to the near source region in Japan is developed. The data base consists of 1372 horizontal components of peak ground acceleration from 28 earthquakes in Japan and 15 earthquakes in the United States and other countries. Coefficients describing the decrease in acceleration with increasing distance found by most previous studies of Japanese data are significantly smaller than those found by analyzing individual earthquakes. This phenomenon is examined and found to result from use of general nonstratified multiple regression analyses. The present analysis uses a two-step stratified regression procedure and an attenuation model that accounts for geometrical spreading and anelastic attenuation but has magnitude-independent shape at very short distances. The resulting relation in Japan is log 10 A = 0.41 M − log 10 ( R + 0.032 ⋅ 10 0.41 M ) − 0.0034 R + 1.30 where A is the mean of the peak acceleration from two horizontal components at each site (cm/sec 2 ), R the shortest distance between site and fault rupture (km), and M the surface-wave magnitude. The median estimate of peak horizontal acceleration at the source region is 620 cm/sec 2 , independent of earthquake magnitude. Effects of four different ground condition (rock, hard-, medium- and soft-soils) on the attenuation relation are also examined. Average peak horizontal accelerations for the rock and the soft-soil sites are 60 and 140 per cent respectively of the value predicted from the equation.