@Article{sl.2013.010.119,
AUTHOR = {Wang Changhong, Xu Yiyan, Zhu Hehua},
TITLE = {Application of Multi-Fractal and Kriging Interpolation Method For the Re-construction of Strata},
JOURNAL = {Structural Longevity},
VOLUME = {10},
YEAR = {2013},
NUMBER = {2},
PAGES = {119--133},
URL = {http://www.techscience.com/sl/v10n2/42926},
ISSN = {1944-6128},
ABSTRACT = {In order to generate 3-dimensional (3D) strata, a stratum data model of
tri-prism based on borehole data is first presented, which is applicable in 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 distanceweighted interpolation method for scattered borehole data points is proposed in this
paper, 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 such as
Kriging method. Case study shows that the generation of 3D strata by proposed
interpolation methods could give a good result in global and local occasion.},
DOI = {10.3970/sl.2013.010.119}
}