In order to generate 3-dimensional stratum

a stratum data model of tri-prism based on borehole data is first presented

which is applicable to geological engineering and geotechnical engineering. Due to the local variance and spatial structure among attributes of boreholes

the geological properties at unknown location have to be estimated or interpolated by some special methods. However

classic statistical methods could not resolve such problem which includes selection of sample points

spatial estimation and comparison of bilateral data. A distance-weighted interpolation method for scattered borehole data points is proposed

which exploits the Kriging method in global geostatistics. On the premise that the distributed statistics characters of the spatial borehole data were obtained at first; accorded to the distributed statistics characters

the spatial interpolation was presenting successively. Moreover

Multi Fractal is presented to depict the local singularity which should be ignored by sliding weighted average algorithm of Kriging method. Case study shows that the generation of 3-dimensional stratum by proposed interpolation methods could give a good result in global and local occasions.