【摘要】 地球化学面的形态是依赖于采样网格（采样密度）大小变化而不确定的。对于一维情况,元素含量分布曲线长度L与采样间距r之间的关系服从L（r）=Cr^1-1/H,D=1/H。对于地壳上任一给定区域,沿某一测线进行地球化学测量的任一元素含量数据,由上式确定的D值和H值,对于沿测线方向该元素的含量分布在统计的意义上将是确定的。对浙江省水系沉积物测量数据的统计结果表明,Au、Ag、Cu、Pb、Zn、Mo、Co、Ni 8种元素的含量变化在1～150km尺度范围内遵循分形分布,D=1.03～1.62,H=0.62～0.97。这表明地壳中元素含量在空间上随采样间距的变化可能是一个完全等价于分形布朗运动的随机函数,在1～150km这个尺度范围内,元素含量分布模式具有自相似性和长程相关性。这个结果为“国际地球化学填图”项目（IGCP259）提出的160km×160km采样网格尺度提供了一种理论的支持。更多还原

【Abstract】 The pattern of geochemical surface, which varies with the size of sampling cells (sampling density), is undetermined. For the one-dimensional case, the relation of the length of the element content distribution curve L to the sampling interval r is L(r) =Cr1-1/H with the fractal dimension D=1/H. For the element content data obtained from geochemical survey along a given line in a given area of the crust, the D and H values obtained from the formula will be statistically determinated. The spatial distribution of Au, Ag, Cu, Pb, Zn, Mo, Co and Ni contents in stream sediment samples from Zhejiang Province is a fractal distribution at scales from 1 to 150 km, having D=l. 03-1. 62 and H=0. 62-0. 97 respectively. It indicates that the content distribution of elements in the crust varying spatially with sampling intervals is essentially equivalent to the fractal Brownian motion’s random faction, and predicts that the content distribution of elements has a statistical self-similarity and long-range correlation at scales from 1 to 150 km. The result provides a theoretical support for the size of 160 km×160 km sampling cells suggested by the International Geochemical Mapping project (IGCP259).更多还原