Fractal Interpolation Method For Spatial Variation Analysis On Seepage Water Level

Development activities of mankind often changed the amount and quality of underground water, therefore for protect groundwater we need proceed environment impact assessment, for which simulation of water fluid and water quality is essential. In many cases of regional water resources and water environment issues, numerical method is often adopted in this kind of simulation. Since it was impossible to observe overall spots, the information of unknown spots were usually obtained by interpolation. Without consideration of spatial variation, traditional methods were greatly influenced by subjective factor and always results in low precision.DF (Direction fractal) is a new method of estimation rising in recent years. This method makes the researched object possess of complexity and structuredness,and also embody the idea of fractal. In this study, this method was introduced into the analysis of spatial variation of seepage water level, and interpolation effection of it was compared with other two metheds, IDS and OK by a set of locale sampling data of water level. The programming and visualization for the above 3 methods were accomplished by using Matlab6. 5, and the automation and batch disposal of interpolation were also achieved by means of automatic searching spot for joining interpolation. It was indicated that the precision of results analyzed by DF was appreciably higher than the other two methods.D-F is a fractal interpolation theory derived from the combination of Geostatistics and Fractal, which performs sliding weight with the introduction of fractal dimension into weight funtion on the basis of confirming the existence of fractal structure of research object. D-F inherited many advantages of Kriging and excelled Kriging in counting capacity and speed. It would be valuable for the introduction of D-F into the spatial variation analysis on seepage water level and for further research.