Theoretical and experimental study of 3-D initial fracture and its significance to faulting

作     者：Shiyu Li Taiming He Chunkai Teng Xuyao Zheng Kuksenko Viktor 

作者机构：Institute of Geophysics China Earthquake Administration Beijing 100081 China Institute of Geology and Geophysics Chinese Academy of Sciences Beijing 100029 China A F Ioffe Physical-Technical Institute Russian Academy of Sciences St. Petersburg 194021 Russia 

出 版 物：《Earthquake Science》 (地震学报（英文版）)

年 卷 期：2011年第24卷第3期

页      面：283-298页

核心收录：

学科分类：070801[理学-固体地球物理学] 07[理学] 08[工学] 0708[理学-地球物理学] 080102[工学-固体力学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by National Natural Science Foundation of China(No. 41090292) 

主　　题：fracture mechanics 3-D fracture fault fracture criterion 

摘      要：The experimental results of 3-D fracture under compression are introduced in brief and the theory of stress criterion of 3-D fracture is studied. Methods to imitate initial fractures are developed. It is pointed that there are important defects in the extreme value （EV） method ever proposed by Palaniswamy and Knauss. The major defect lies in that only two Euler angles （2EA） are considered, but another one is neglected. If the variation of all the three Euler angles （3EA） are considered, one can get better result which is consistent with the observation of faulting that extends on curved surfaces but not on planes. The method of evaluating maximal normal stress direction vector （NSDV） is proposed and further proved to be equivalent to the 3EA method. It is proved that the NSDV method can be further optimized to the method of composition of the first principal differential plane （CFPDP）. The results from CFPDP method can fit the curved surfaces of initial growth observed in the experiments of 3-D fracture. The CFPDP method can also be used to interpret the 3-D fractures of the slipping section between the asperities in the buried fault plane that is modeled as ellipse crack. The results of 3-D fracture can be applied to interpreting the related problems of faulting including the mechanism of a lot of shatter rocks with different dimensions, the cause of earthquakes occurred at the edge of plate under low shear stress, and the mechanism of anisotropy caused by the extensive dilatancy anisotropy （EDA） cracks.