湘中断裂分布空间结构的信息维特征初探

A STUDY ON THE CHARACTERISTICS OF THE INFORMATION DIMENSION OF THE SPATIAL DISTRI- BUTION OF FRACTURES IN CENTRAL HUNAN

断裂分布空间结构的信息维Ｄ１避免了容量维Ｄ０的缺陷，考虑了每条断裂对信息维所作的贡献，从新的角度反映了断裂分布的空间结构特征。计算结果表明湘中盆地北部信息维为１．７９２，南部信息维为１．６８５。南北两部分分属于信息维不同的两个自相似系统。结合区内锑矿床的分布特征，可发现信息维的大小对成矿流体的运移和矿床定位有一定的指示作用，锑矿（点）产出较多、矿床储量较大的地区，其信息维值较大。

The research of the information dimension (D1) of fractures considers the contribution of eachfracture to information and reflects the characteristics of spatial distribution of fractures from a newpoint of view, avoiding the shortcomings of the research about the fractal dimension of capacity(D0). The results of calculation show that the information dimension of fractures in central Hunanare respectively 1. 792(for the north section of central Hunan) and 1. 685 (for the south section ofcentral Hunan). The north section and the south section belong respectively to two self - similarsystems with different information dimensions. Coupling with the characteristics of antimony de-posits distribution in central Hunan, it can be noted that the more antimony deposits and larger orereserve in the zone, the higher information dimension in it.