一种计算断裂信息维的方法及其应用

A method for calculating fault information dimension and its application

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。

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 different grids. Through the variable data fitting,we get the fault information dimension and correlation coefficient. This approach is used in the Jinhu Sag E1f2 fracture fractal evaluation,fracture length information dimension and area information 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 efficiency and has a better application prospect.