基于多维分形的铜陵地区土壤中Pb元素空间分布

Spatial distribution of soil Pb in Tongling areas based on multifractal method

摘要: 克里格插值法的平滑作用使其无法反应空间分布的奇异性。该文将多维分形地统计学方法应用于铜陵地区土壤中Pb元素的空间分布研究中。通过将克里格插值法与多维分形方法的结果进行对比发现，该地区土壤中Pb元素有较强的空间自相似性，多维分形方法合理地强化了局部区域的估值结果，可以较好的表达土壤元素空间分布的局部奇异性。多维分形方法可以广泛应用于土壤元素空间分布的研究，尤其是矿区土壤重金属元素空间分布的研究。

Abstract: Kriging interpolation cannot characterize singularity of spatial distribution due to its smoothing effect. The authors applied multifractal method to study the spatial distribution of soil Pb in Tongling. The result shows that the spatial distribution of Pb in soil in this area exhibits strong spatial self-similarity. The comparison between patterns of kriging and multifractal method indicates that the latter logically enhanced the estimation value in local area, and could reflect the singularity of spatial distribution more effectively. The method can be widely applied to the study of spatial distribution of element in soil, especially the heavy metal in soil of mining area.