Numerical processing of palaeostress results
Numerical processing of palaeostress results
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DOI：
10.1016/s0191-8141(02)00120-7
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发表时间：
2003-06
影响因子：
3.1
通讯作者：
T. Orife;R. Lisle
中科院分区：
文献类型：
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作者：
T. Orife;R. Lisle
常规的断层滑动方法提供的应力张量信息不完整，这阻碍了对古应力分析结果的统计评价。我们最喜欢的解决这个问题的方法是为张量的缺失分量分配标称值，以随后创建归一化的古应力张量。所提出的归一化应力是偏应力，并且具有统一的八面体剪应力。两个归一化张量之间的差异可以用一个参数来表示，即古应力差D。该程序便于比较不同的古应力结果，例如从不同地点计算的结果或从应用于相同数据的不同反演方法获得的结果。一个数值实体，称为古应力张量平均值，提出了总结集合的归一化古应力张量的结果。在古应力张量平均值的描述之后，应力张量之间的端元关系已被用于确定古应力张量样本内的分散度的拟议测量值的可能范围。从蒙特-卡罗实验的观察结果被用作确定色散测量的重要值的基础。建议的数值措施可能提供另一种工具，以帮助科学评估当前古应力反演解决方案的解释。
Statistical evaluation of the results of palaeostress analysis is hindered by the fact that the common fault-slip methods provide incomplete information about the stress tensor. Our favoured approach to solving this problem involves assigning nominal values to the missing components of the tensor to subsequently create a normalised palaeostress tensor. The proposed normalised stress is deviatoric and has an octahedral shear stress of unity. The difference between two normalised tensors can then be expressed by a single parameter, the palaeostress difference, D. This procedure facilitates the comparison of different palaeostress results, such as those calculated from different sites or those obtained from different inversion methods applied to the same data. A numerical entity termed the palaeostress tensor average is proposed to summarise collections of normalised palaeostress tensor results. Following the description of the palaeostress tensor average, end-member relationships between stress tensors have been used to identify the likely range of values for a proposed measure of dispersion within a sample of palaeostress tensors. Observations from a Monte-Carlo experiment are used as the basis for determining significant values of the dispersion measure. The proposed numerical measures may provide another tool to aid the scientific assessment of the interpretations of current palaeostress inversion solutions.