Abstract：In order to reveal the related distribution law between slope-mass slide displacement and precipitation of shallow and medium layer for loose soil landslide，the distribution law of power function was derived with the relationship between slope-mass slide displacement and precipitation. Through the in-situ data of collection，arrangement and analysis—the site investigation and exploration of engineering geology，the analytical means of mathematic statistics are considered for the slope-mass slide displacement and precipitation of typical shallow and medium layer for loose soil landslide with the nonlinear regression analyses and comparisons of exponent model and power function and so on. The general statistical model of slope-mass displacement and precipitation for loose soil landslide was established. The achieved results may provide the scientific basis for the study on the mechanism of deformation，disintegration and failure，the stability，and the forecast and prediction of this kind of loose soil landslide under precipitation.
