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| A two dimensional normal information diffusion inference method for probabilistic distributions of geotechnical parameters |
| GONG Fengqiang,HUANG Tianlang,WANG Tiancheng |
| (School of Resources and Safety Engineering,Central South University,Changsha,Hunan 410083,China) |
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Abstract A two-dimensional normal information diffusion method was proposed to infer the probability distributions of geotechnical parameters. A general expression of two-dimensional normal information diffusion model was established considering the correlation of two-dimensional geotechnical parameters and the principle of normal information diffusion. The two-dimensional distribution K-S test method was improved and the corresponding specific test procedure was proposed. The two-dimensional shear strength parameters of the geo-materials at a hydropower station project were used as an example,and their distributions were fitted with the two-dimensional normal distribution and two-dimensional normal information diffusion distribution. The proposed two-dimensional distribution K-S test method was used to test the fitting accuracy of the two distributions obtained above. The results show that the testing value of the two-dimensional normal distribution is lower than that of two-dimension normal distribution and that the distribution function of two-dimensional normal information diffusion is closer to the actual distribution of data,showing that the two-dimensional normal information diffusion distribution is better in describing the probability distribution of two-dimensional geotechnical parameters. The edge distribution of the two-dimensional normal information diffusion function obeys the one dimensional normal information diffusion distribution,and the accuracy is also higher than that of the one dimensional normal distribution.
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