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断裂长度与最大位移的关系及其影响因素
作者姓名:XUShun-shan  A.F  NIETO-SAMANIEGO  LIDong-xu
作者单位:1. Instituto Mexicano del Petróleo, Programa YNF, Eje Central Lázaro Cárdenas No.152, Col. San Bartolo Atepehuácan, C.P. 07730, México, D.F., México;Institute of Geomechanics, CAGS, Beijing 100081, China
2. Universidad Nacional Autónoma de México, Centro de Geociencias, Apartado Postal 1-742, Querétaro, Qro., 76001, México
3. China University of Geosciences, Beijing 100083,China
基金项目:墨西哥石油研究院项目,墨西哥自然科学基金,D.01003,33087-T,,
摘    要:断裂最大位移与断裂迹长遵循幂律关系 :D =cLn,但幂指数n的大小有很大的变化范围。为探索幂指数n的大小和断裂机制 ,从已发表的文献中收集了 18组数据 ,这些数据的断裂长度具有 8个数量级的跨度。经相关分析 ,我们得到n值的大小变化于 0 5 5和 1 6 5之间 ,平均值为 1 0 839。由于走滑断裂的最大长度在其倾向方向 ,不宜与倾滑断裂一起统计 ,我们去掉一组走向滑动断裂的数据 ,幂指数平均值为 1 10 6 6。用双回归方法得到的幂指数峰值 (nd)是 1 0~ 1 1。这些结果表明断裂最大位移与断裂迹长应该是非常接近线性关系。这种线性关系可以用Dugdale模型加以解释。该模型认为弹塑性物质拉张裂缝端点的变形是非弹性变形。模型的适用范围是单一岩性 ,一次构造力作用。我们认为n值的大小之所以有很大的变化范围 ,有可能受到断裂迹线长度偏差的影响 ,造成长度偏差的因素包括 :不同的观察平面 ,断裂端点的分辨率 ,断裂连接作用 ,岩石力学性质变化 ,断裂多期活动等。

关 键 词:断裂最大位移  断裂长度  数据误差  幂律指数  断裂机制

Relationship between fault length and maximum displacement and influenced factors
XUShun-shan A.F NIETO-SAMANIEGO LIDong-xu.Relationship between fault length and maximum displacement and influenced factors[J].Earth Science Frontiers,2004,11(4):567-573.
Authors:XU Shun-shan  AFNIETO-SAMANIEGO  LI Dong-xu
Abstract:The relationship between maximum displacement and fault trace length obeys the power-law equation: D = cLn. Data including 18 datasets and spanning more than 8 orders of fault length magnitudes is collected from the published literature for determining the exponent value (n). The range of the calculated values of nd is from 0.55 to 1.65. The average value of nd is 1.083 9. If one dataset from strike-slip faults is precluded, the average value of nd is 1.106 6. The peak value of nd (double regression) is 1.0~1.1. These results imply that the relationship between the maximum displacement and fault trace length is approximately linear. The relationship can be explained by Dugdales model. This model explains the development of faults in a single tectonics event with homogeneous host-rock. The power-law exponent (n) for maximum displacement-trace length would be affected by the deviations of trace length or displacement due to the observed dimensions in map view, unresolved fault tip, fault linkage etc.
Keywords:fault displacement  fault length  data error  power-law exponent  faulting mechanism
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