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| PROBABILITY MODEL DEDUCTION METHOD OF MOHR-COULOMB CRITERIA PARAMETERS BASED ON NORMAL INFORMATION DIFFUSION PRINCIPLE |
| GONG Fengqiang，HOU Shangqian，YAN Xiaoming |
| (School of Resources and Safety Engineering，Central South University，Changsha，Hunan 410083，China) |
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Abstract In order to construct the reliability discriminant of Mohr-Coulomb strength criterion，it is essential to study the probability distribution of shear strength parameters. Based on normal information diffusion principle，a probability model deduction method of shear strength parameters with small sample size is presented. Considering that the sample size of rock shear strength parameters is small in general，the testing data of rock uniaxial and triaxial compression were regarded as basic information，and information base of shear strength parameters with small size was constructed according to the permutation and combination theory. And the sample data of cohesion c，internal friction angle φ and friction coefficient f were also obtained using robust regression estimation method. Finally，based on the normal information diffusion theory，the probability distribution functions of c，φ and f were deduced. K-S test method was used to compare the results of traditional fitting-test method and presented method. The results show that the probability distribution of shear strength parameters based on normal information diffusion principle is more close to the actual probability distribution. Whether in terms of test value and the cumulative probability，the results of presented method are better than those of the traditional fitting-test method.
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Received: 19 May 2013
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2013, Vol. 32 
