The present work aims at building a non-stationary random field model for the slip distribution on the rupture plane. The estimates are arrived based on 230 slip fields available in the SRCMOD database. The evaluation is performed by segregating and quantifying the trend and fluctuation components of the field. Here, the trend portion of the slip is extracted by fitting a 2D elliptical Gaussian surface. The remaining fluctuation part is observed to be stationary following a normal distribution. Further, we propose scaling relations as a function of magnitude for all the unknowns in trend and fluctuation part of the field. Furthermore, an additive model to generate a slip field for a given magnitude combining the deterministic trend part and randomly generated fluctuation part is also developed in the study. Ground motion simulations performed with the components of the slip field showed that the trend portion controls the low frequency, and the fluctuation portion influences the high-frequency characteristics of ground motion. The model developed from the study can be used to generate an ensemble of slip fields for ground motion simulations.

中文翻译：

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地震滑动非平稳随机场模型

目前的工作旨在为破裂平面上的滑动分布建立一个非平稳的随机场模型。估计是根据SRCMOD数据库中可用的230个滑动字段得出的。通过隔离和量化该领域的趋势和波动成分来执行评估。在此，通过拟合2D椭圆高斯曲面来提取滑移的趋势部分。观察到剩余的波动部分遵循正态分布是静止的。此外，我们提出了比例关系，作为该领域趋势和波动部分中所有未知量的大小的函数。此外，在研究中还建立了一个附加模型，该模型将确定性趋势部分和随机产生的波动部分结合起来，以生成给定大小的滑移场。用滑移场分量进行的地震动模拟表明，趋势部分控制低频，而波动部分影响地震动的高频特性。通过这项研究开发的模型可用于为地面运动模拟生成一组滑动场。