共查询到10条相似文献，搜索用时 156 毫秒
1.
边坡工程可靠性分析的最大熵方法,利用已有样本的部分信息来使熵最大化,充分利用了随机变量的高阶矩信息,由样本矩来推断边坡可靠性功能函数的概率密度函数,求解边坡的破坏概率。该方法对基本随机变量的分布没有特别要求,避免了常规方法计算过程中在迭代点处对非正态随机变量进行近似当量正态化处理的缺陷。通常,功能函数的真实概率密度函数很难、甚至无法求得,将Pearson曲线族引入岩土参数随机变量高阶矩的求解当中,可以很容易地得到功能函数的高阶中心矩,然后,基于最大熵原理拟合得到功能函数的最大熵密度函数,采用区间截断法和高斯-克朗罗德数值积分法分别确定最大熵密度函数的拉格郎日系数和边坡的破坏概率。算例分析结果表明:该方法计算效率高,结果可靠,克服了传统方法求解过程复杂、精度低的缺点,将其应用于工程边坡的可靠性分析当中,发展潜力大,具有一定的应用前景和实用价值。 相似文献
2.
We analyzed the possibility of explaining empirical relations in the evolution of the molecular world on the basis of fundamental physical laws and theories of the behavior of the entropy of a system. Quantitative expressions were evaluated describing the entropy of internal motion of atoms in a molecular ensemble (vibrational entropy), which is a term of total entropy with a clear physical meaning. It was shown that vibrational entropy is controlled primarily by the structure of the compound rather than the number and identity of atoms in the molecule. During the early stages of evolution, the appearance of acyclic structures is more advantageous than that of cyclic structures. An increase in the complexity of the molecular world inevitably leads to the appearance of molecules with a complex skeleton formed mainly by bonds of the same elasticity as C–C. The necessity of helical structures, whose spatial elasticity is provided by hydrogen bonds, was explained. 相似文献
3.
E.F. Kaasschieter 《Computational Geosciences》1999,3(1):23-48
Immiscible two‐phase flow in porous media can be described by the fractional flow model. If capillary forces are neglected,
then the saturation equation is a non‐linear hyperbolic conservation law, known as the Buckley–Leverett equation. This equation
can be numerically solved by the method of Godunov, in which the saturation is computed from the solution of Riemann problems
at cell interfaces. At a discontinuity of permeability this solution has to be constructed from two flux functions. In order
to determine a unique solution an entropy inequality is needed. In this article an entropy inequality is derived from a regularisation
procedure, where the physical capillary pressure term is added to the Buckley‐Leverett equation. This entropy inequality determines
unique solutions of Riemann problems for all initial conditions. It leads to a simple recipe for the computation of interface
fluxes for the method of Godunov.
This revised version was published online in July 2006 with corrections to the Cover Date. 相似文献
4.
灰色评价熵模型在含油面积评价中的应用 总被引：2，自引：0，他引：2
针对目前灰色关联分析方法在评价岩性、物性、含油性、含油面积等地质模型中有时存在评价结果分辨率不高的问题,基于信息论中Jaynes最大信息熵原理和灰色关联度的定义,构造目标函数,运用拉格朗日乘数法,建立了一种新的灰色精细评价模型。结合实例说明了模型的具体应用,并与原灰色关联分析方法进行了对比,结果基本一致,而且明显提高了分辨率。该模型数学推导严谨,可靠性高,具有较高的灵敏度。 相似文献
5.
Li Chao 《Mathematical Geology》1999,31(6):685-700
A multidimensional version of the nonstationary maximum entropy spectral estimation method has been developed. By applying the neural net technique, the estimated maximum entropy spectral density function has more resolution power than the conventional nonstationary periodogram spectral density function. The application of spectral density functions to simulate multidimensional nonstationary random fields is also investigated. 相似文献
6.
为了克服目前对标准化降水指数(SPI)计算必须首先假设服从某种分布的不足,依据最大熵理论分布对SPI进行计算,以东江流域为例,分别利用最大熵理论分布、Gamma分布、Weibull分布以及对数正态分布四种概率密度函数拟合多年不同时间尺度的降雨数据,并利用AIC、KS、AD法进行拟合度检验,最后将最大熵理论分布与Gamma分布计算的SPI结果进行对比分析。结果表明:相对于其他三种分布,最大熵理论分布的概率密度函数更适用于东江流域15个站点的3、6、12个月的降雨分布;在极端干旱(洪涝)的情况下,相对于Gamma分布,最大熵理论分布的SPI值更小(大),表明其对极端干旱(洪涝)的识别更为敏感。 相似文献
7.
For the hyperbolic conservation laws with discontinuous-flux function, there may exist several consistent notions of entropy solutions; the difference between them lies in the choice of the coupling across the flux discontinuity interface. In the context of Buckley–Leverett equations, each notion of solution is uniquely determined by the choice of a “connection,” which is the unique stationary solution that takes the form of an under-compressive shock at the interface. To select the appropriate connection, following Kaasschieter (Comput Geosci 3(1):23–48, 1999), we use the parabolic model with small parameter that accounts for capillary effects. While it has been recognized in Cancès (Networks Het Media 5(3):635–647, 2010) that the “optimal” connection and the “barrier” connection may appear at the vanishing capillarity limit, we show that the intermediate connections can be relevant and the right notion of solution depends on the physical configuration. In particular, we stress the fact that the “optimal” entropy condition is not always the appropriate one (contrarily to the erroneous interpretation of Kaasschieter’s results which is sometimes encountered in the literature). We give a simple procedure that permits to determine the appropriate connection in terms of the flux profiles and capillary pressure profiles present in the model. This information is used to construct a finite volume numerical method for the Buckley–Leverett equation with interface coupling that retains information from the vanishing capillarity model. We support the theoretical result with numerical examples that illustrate the high efficiency of the algorithm. 相似文献
8.
Haiyu Gao Zhuoheng Chen Kirk G. Osadetz Peter Hannigan Cameron Watson 《Mathematical Geology》2000,32(6):725-749
An approach is proposed to predict the spatial distributions of undiscovered petroleum resources. Each pool is parameterized as a marked-point. The independence chain of the Hastings algorithm is used to generate an appropriate structure for pool combinations in a play. Petroleum-bearing favorability estimated from geological observations is used to represent the sampling probabilities of pool locations. An objective function measuring the distance between characteristics of the realization and constraints is constructed from both the pool size distribution and entropy maximum criterion, in which the entropy criterion places all undiscovered pools in the most favorable positions. The geometrical convergence property of the proposed Hastings algorithm is presented. The method is illustrated by a case study from the Western Canada Sedimentary Basin. 相似文献
9.
Qiao Chen Wang Yu Li Chang-hong Yan Bing-qian 《Geotechnical and Geological Engineering》2021,39(6):4315-4327
In view of the problems existing in the evaluation process of slope stability in cold regions, the improved entropy weight method and extension theory are used to evaluate the slope stability. Nine indexes which affect the slope stability in cold regions are selected, the matter element system of slope stability evaluation is established by extension theory, and the extension correlation degree between evaluation index and evaluation grade is calculated. The improved entropy weight method is used to calculate the entropy weight of the matter element index system, and then the stability grade of the slope matter element is determined. Based on the extension theory and improved entropy weight method, the slope stability of Beizhan open pit mine is predicted. The results show that the prediction results are consistent with the actual situation of the project, and the evaluation method can be applied to the slope stability evaluation in cold regions. By using extension theory and improved entropy weight method, the evaluation index can be changed from a single determined value to an interval value, and the influence degree of the evaluation index can be analyzed more comprehensively. This method improves the evaluation accuracy and provides a new method for the slope stability evaluation in cold regions.
相似文献10.
熵权法在水资源与水环境评价中的研究进展 总被引：1，自引：0，他引：1
随着人口增长和经济社会的发展,水资源的供需矛盾日益增多,对水资源进行合理开发、高效利用、优化配置、全面节约、有效保护、综合治理是至关重要的新任务。熵权法是研究水资源可持续利用的重要方法,可以剔除指标体系中对评价结果贡献较小的指标,减少人为因素对于主观权重的影响,其计算结果真实准确,能够客观地反映水资源与水环境的现状,因此被广泛应用于水资源与水环境评价中,从而为水资源的高效利用及水环境的综合评价提供科学依据。本文对熵权法的由来及在水资源与水环境评价中的发展进程进行了探讨,重点对熵权法在水资源量、水资源承载力、水环境质量和水生态环境评价四个方面的应用进行了讨论和总结,并发现熵权法在水资源与水环境评价中有着良好的应用前景;同时,针对当前熵权法在水资源与水环境评价中存在的不足,提出了改进建议,为水资源与水环境评价的研究方向提供了新思路。除此之外,对熵权法的未来进行了展望：熵权法可与其他方法创新结合共同使用,构建合理全面的评价指标体系,在水资源利用发展趋势、时空格局演变等领域推广应用。 相似文献