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一种计算断裂信息维的方法及其应用
引用本文:刘敬寿,戴俊生,杨海盟,张艺.一种计算断裂信息维的方法及其应用[J].世界地质,2015,34(3):684-689.
作者姓名:刘敬寿  戴俊生  杨海盟  张艺
作者单位:1. 中国石油大学 (华东) 地球科学与技术学院,山东 青岛 266580; 2. 中国石油新疆油田分公司 风城油田作业区,新疆 克拉玛依 834000
摘    要:对断裂数据化处理,得到断裂控制点。以断裂控制点为约束,对断裂进行点插值,以单个统计单元为视窗,统计落入不同栅格内的插值点数目,进而求得插值点落入不同栅格的概率,对变量数据拟合,得到断裂信息维以及相关系数。将该思路应用在金湖凹陷阜二段断裂分形评价中,分别计算了断裂长度信息维、面积信息维。结果表明,90%以上的统计单元相关系数0.9,断裂发育区具有较高的自相似性,断裂总体分形特征曲线的相关系数0.999。金湖凹陷断裂的计算表明,该思路是测量断裂信息维的有效方法,能够提高工作效率,具有较好的应用前景。

关 键 词:面积信息维  长度信息维  断裂分形  金湖凹陷

A method for calculating fault information dimension and its application
LIU Jing-Shou,DAI Jun-Sheng,YANG Hai-Meng,ZHANG Yi.A method for calculating fault information dimension and its application[J].World Geology,2015,34(3):684-689.
Authors:LIU Jing-Shou  DAI Jun-Sheng  YANG Hai-Meng  ZHANG Yi
Institution:1. School of Geosciences,China University of Petroleum,Qingdao 266580,Shandong,China; 2. Fengcheng Oil field Operation Area,Xinjiang Oil field Branch Company,PetroChina,Karamay 834000,Xinjiang,China
Abstract: The fracture controlling points can be obtained by data processing of faults. Taking the controlling points as the restraint,we carry on an interpolation to the fault. In single statistics unit,for windows,different numbers of interpolation points fall into different grids,the probability of interpolation points are obtained in differ- ent grids. Through the variable data fitting,we get the fault information dimension and correlation coefficient. This approach is used in the Jinhu Sag E 1 f 2 fracture fractal evaluation, fracture length information dimension and area in- formation dimension were calculated. Results show that more than 90% of all statistics unit correlation coefficients are higher than 0.9,fault development zones have higher self- similarity and the fault overall fractal characteristic curve correlation coefficient is greater than 0. 999. The fault information dimension calculation of Jinhu Sag show that the approach is an effective way to measure the fault information dimension,and it can improve the working ef- ficiency and has a better application prospect.
Keywords:area information dimension  length information dimension  fault fractal  Jinhu Sag
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