一种测量断裂构造信息维的方法及其应用

A method for measuring fault information dimension and its application

基于分形理论,提出了一种快速测量单区和多区断裂构造信息维的方法。按直线、正方形、Koch曲线及Sierpinski垫片4种图形的测量结果,信息维测量值与其理论值之间最大的相对误差绝对值仅为0.5%,表明采用该方法测量出的信息维具有较高的可靠性和准确度。在某火山岩型铀矿田开展了该方法的应用试验。该铀矿田内有超过92%的铀矿床均位于断裂信息维大于1.24的区域内,说明断裂构造信息维越大,越有利于火山岩型铀矿成矿,从而为建立新的铀矿预测标志提供了新的思路和方法。

Based on fractal theory,a fast method for measuring information dimension of faults located in one or multi districts is presented in this paper.The information dimensions of four kinds of graphics,including straight line,square,Koch curve and Sierpinski gasket are measured and the maximum absolute value of relative errors between theoretic value and measured value is only 0.5%,which indicates that this information dimension measuring method is with high credibility and precision.Testing application is carried out in some volcanic-type uranium ore field and it was found that more than 92% of known volcanic-type uranium deposits in the study area are located in zones with fault information dimension greater than 1.24.A conclusion can be drawn that the higher the information dimension of faults is,the more favorable to the mineralization of volcanic-type uranium ore the fault area is.Furthermore,new thought and technique is proposed for the establishment of new prediction indicator for uranium resources.