Stress inversion meets plasticity theory: A review of the theories of fault-slip analysis from the perspective of the deviatoric stress-strain space
Stress inversion meets plasticity theory: A review of the theories of fault-slip analysis from the perspective of the deviatoric stress-strain space
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DOI：
10.1016/j.jsg.2019.03.003
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发表时间：
2019-08
影响因子：
3.1
通讯作者：
A. Yamaji;Katsushi Sato
中科院分区：
文献类型：
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作者：
A. Yamaji;Katsushi Sato
材料的力学性能不受我们选择的坐标系的影响。因此，对行为的描述不应该受到这种选择的影响。这被称为坐标不变性原理，不仅对塑性理论，而且对构造地质学的理论研究都很重要。偏应力-应变空间满足这一原理，可用于应力反演的公式推导。将断层数据反演方案中的问题转化为几何问题，利用几何解释解决问题。此外，该公式为定义作为反演解的降应力张量之间的不相似类提供了良好的基础。我们从概率的角度，重新定义了这些类。结果表明，该原理的违背破坏了反演的精度和分辨率。
The mechanical behavior of materials is not affected by our choice of a coordinate system. Thus, the description of the behavior should not be affected by this choice. This is known as the principle of coordinate invariance, and is important not only for plasticity theory but for theoretical investigations in structural geology. The deviatoric stress-strain space, which fulfills the principle, is shown to be useful for the formulation of stress inversion. Problems in the inversion schemes of fault data are transformed into geometrical problems so that we can solve the problems using geometrical interpretations. In addition, the formulation gives the good basis for defining the classes of dissimilarities between reduced stress tensors that are the solutions of the inversion. We redefine the classes, here, from the standpoint of probability. It is demonstrated finally that the violation of the principle spoils the accuracy and resolution of the inversion.