Geostatistical inversion can well characterize thin-layers for its high-resolution.We discussed the relationship between
geostatistical inversion and high-resolution,as well as the problem of geostatistical inversion in petrophysical parameter
inversion.Moreover,the algorithm for reducing the uncertainty of inversion was studied.Research results show that along with
the alternation of variogram,the resolution of geostatistical inversion result will change,but the conventional Krigging algorithm
destroy the continuity of original geologic formations when improving resolution through reducing variogram.Based on the
above results,we introduced some restraints such as geologic interpretation strata and dip into geostatistical inversion.The
method was applied on the inversion of carbonate mineral components at ODP1144 station sea area in South Sea.