【摘要】 基于分形理论和模糊集合论，本文提出一种Fuzzy分维概念（简称F-分维）。F-分维与分维的主要差别在于：前者认为一个复杂图形的整体与部分之间不一定存在自相似性，只存在模糊自相似，后者肯定自相似性存在。这种模糊自相似可以用模糊分维计算。文中给出计算F-分维特征曲线的方法。依据此曲线，能够实现储层的含油（气）分类的识别。文中列举的实例计算表明，F-分维比分维更能突出储层模式间的差异，含油和不含油的特征也更明显。更多还原

【Abstract】 We put forward fuzzy fractional dimension conception based on fractal theory and fuzzy aggregation. Major difference between the fuzzy fractional dimension and frac-tional dimension is as follows :the former says there is no definite self-similarity but fuzzy similarity between a complicated graph and its part; however, the latter af-firms the existence of self-similarity. The fuzzy self-similarity can be estimated by using fuzzy fractional dimension. We describe the method for computing characteris-tic curve of fuzzy fractional dimension. Classification recognition of hydrocarbon reservoir can be achieved by using the curve. It is illustrated that fuzzy fractional di-mension causes more obvious difference between reservoir patterns and clearer dis-tinction between oil-bearing feature and oil-free feature than fractional dimension does.更多还原