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最大熵在巖體結(jié)構(gòu)面間距分布估計中的應(yīng)用研究

發(fā)布時間:2018-06-17 20:54

  本文選題:巖石力學(xué) + 結(jié)構(gòu)面間距 ; 參考:《巖石力學(xué)與工程學(xué)報》2017年S1期


【摘要】:結(jié)構(gòu)面間距是表征巖體完整性的重要參數(shù)。由于結(jié)構(gòu)面分布的不均勻性和地質(zhì)構(gòu)造的復(fù)雜性,常用的概率分布不能精細描述結(jié)構(gòu)面間距的分布特征。對于由測線法測得的結(jié)構(gòu)面間距樣本,根據(jù)巖體內(nèi)部能量平衡,在結(jié)構(gòu)面間距的統(tǒng)計矩的約束下,采用最大熵原理推導(dǎo)結(jié)構(gòu)面間距的概率分布,最大熵原理估計得到的結(jié)構(gòu)面間距的概率分布具有無偏性和一致性;給出結(jié)構(gòu)面間距常用的分布函數(shù)的最大熵形式;采用Monte Carlo模擬方法進行結(jié)構(gòu)面三維網(wǎng)絡(luò)模擬,采用K-S檢驗驗證最大熵估計結(jié)構(gòu)面間距概率分布的適用性和準(zhǔn)確性。對隧道采樣區(qū)的結(jié)構(gòu)面間距樣本進行分布估計,得到的最大熵概率分布顯著優(yōu)于常用的負(fù)指數(shù)分布或?qū)?shù)正態(tài)分布,能夠準(zhǔn)確反映結(jié)構(gòu)面間距的真實分布情況。
[Abstract]:Structural plane spacing is an important parameter to characterize the integrity of rock mass. Due to the inhomogeneity of structural plane distribution and the complexity of geological structure, the commonly used probability distribution can not accurately describe the distribution characteristics of structural plane spacing. According to the energy balance of rock mass, the maximum entropy principle is used to deduce the probability distribution of the structural plane spacing according to the energy balance of the rock mass and the statistical moment of the structure plane spacing. The probability distribution of the structural plane spacing estimated by the maximum entropy principle is unbiased and consistent, the maximum entropy form of the distribution function commonly used in the structural plane spacing is given, and the Monte Carlo simulation method is used to simulate the three-dimensional network of the structure plane. K-S test is used to verify the applicability and accuracy of maximum entropy estimation of the probability distribution of structure spacing. The maximum entropy probability distribution is better than that of negative exponential distribution or logarithmic normal distribution, which can accurately reflect the true distribution of structural plane spacing.
【作者單位】: 中交公路規(guī)劃設(shè)計院有限公司;同濟大學(xué)巖土及地下工程教育部重點實驗室;同濟大學(xué)土木工程學(xué)院地下建筑與工程系;
【基金】:國家自然科學(xué)基金資助項目(41272289)~~
【分類號】:TU45

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1 于國新;白明洲;許兆義;馮震;;工程巖體結(jié)構(gòu)面間距空間分布的ARIMA模型及應(yīng)用[J];工程地質(zhì)學(xué)報;2006年06期

2 ;[J];;年期

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