全球观测应力场应力取向数据的加权统计分析

Weighted Statistical Analysis of the Global Observed Stress σ_(Hmax) Orientations

论文将全球划分成一系列的 5°× 5°基本单元 ,通过对世界应力图计划中的全球应力指标数据进行加权系数法统计分析 ,计算了全球应力场在尺度为 5 0 0km左右的平均应力取向 ;用Rayleigh检验检验了应力取向是否为随机分布 ;讨论了应力取向的统计分析和检验结果 .统计结果显示 :考虑了加权系数情况下的有关统计结果相对比较符合实际 ,它提高了高质量数据在统计分析中的作用 ,并降低了观测数据呈随机分布特征的可能性 .

The global surface is divided into a series of 5°×5° element bins, each element having a spatial dimension of about 500 km. By using the weighted statistical analysis method, the average stress orientation of each element is obtained based on the data coming from the World Stress Map Project (WSMP) database. Tests are then performed to see whether the stress orientations are not random distribution within bins that pass the Rayleigh test. The result of statistical analysis and the test of the stress orientations are discussed. The results show that the weighted coefficient method can increases the effect of high quality data in statistical analysis. Meanwhile, this method decreases the possibility of the observed data to exhibit random distribution within the element bins.