Attenuation Parameters of Blasting Vibration by Fuzzy Nonlinear Regression Analysis

Abstract

In order to reduce the influence of outliers on the parameter estimate of the attenuation formula for the blasting vibration velocity, a fuzzy nonlinear regression method of Sadov’s vibration formula was proposed on the basis of the fuzziness of blasting engineering, and the algorithm was described in details as well. In accordance with an engineering case, the vibration attenuation formula was regressed by the fuzzy nonlinear regression method and the nonlinear least square method, respectively. The calculation results showed that the fuzzy nonlinear regression method is more suitable to the field test data. It differs from the nonlinear least square method because the weight of residual square in the objective function can be adjusted according to the membership of each data. And the deviation calculation of least square estimate of parameters in the nonlinear regression model verified the rationality of using the membership to assign the weight of residual square. The fuzzy nonlinear regression method provides a calculation basis for estimating Sadov’s vibration formula’s parameters more accurately.

Keywords

blasting vibration / attenuation parameters / fuzzy nonlinear regression / membership