地层胶结指数m的分形特征研究

摘要

从分形测度基本的数学原理出发，详细地研究了测井曲线的分形特征。研究中发现，两类测井曲线的豪斯道夫（Hausdorff）测度及其维数与地层胶结指数有直接的关系，这一关系不仅进一步阐明了地层胶结指数的地质意义，而且直接给出了一种利用测井曲线计算阿尔奇公式中胶结指数m的方法。%On the basis of the mathematic principle of fractal measure and analysis of the fractal character of well logging curves， such AC and RILM curve，the close relationship between the logging curves and the cementation exponent （m） has been established． The Hausdorff messure of the above two kinds of curves and their fractal dimension have a direct function relation with the important parameter，m， in the famous Archie equation． This relation not only further explains the geological significance of cementation exponent （m），but also gives an easy and economic method to calculate m without lab experiments．