Citation: | YAO Ling-qing, PAN Mao, CHENG Qiu-ming, CHANG De-feng, 2009. Nested Overlap of Variograms in 3D Kriging. Earth Science, 34(2): 294-298. |
3D property modeling is hot nowadays in geoscientific researches, the essence of which is mapping geological properties in 3D space from limited samples by interpolation or simulation methods.By extending Kriging to 3D space which evolves to the so-called 3D Kriging, a reliable method can be provided for 3D property modeling.However, one of the most difficult problems in 3D Kriging is the nested overlap of anisotropic variograms.In this paper, a simple but universal method is proposed for the nested overlap.Based on the transformation of coordinate basis, this new method takes into full consideration the difference of variation on each axis direction and puts forward the concept of anisotropy ratio.The feasibility of the new method is demonstrated and testified by a case study about 3D property modeling of groundwater quality.
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