共查询到19条相似文献，搜索用时 109 毫秒
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在地貌学与制图学的研究中,影响溶洞分布密度的地域差异的多因素、不确定性和非确知性的“软”问题较为突出。本文首次应用灰色系统理论的观点,探讨溶洞密度分区的综合判别法,对平坝县部分区域溶洞密度分区给出实例。它的作用是为岩溶学研究和地图学研究提供一种新的方法,探索一条新的途径。 相似文献
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贝叶斯概率水文预报简介 总被引：16，自引：1，他引：16
基于贝叶斯理论的概率水文预报，在于应用贝叶斯理论的优点：它能综合考虑各方面的不确定性，并以分布函数形式描述水文预报的不确定度。从而，能较好地满足优化决策的需要。 相似文献
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岩溶塌陷稳定性的灰色模糊综合评判 总被引：13，自引：0，他引：13
邱向荣 《水文地质工程地质》2004,31(4):58-61
根据建设用地地质灾害危险性评估的特点,选择4个一级因素和13个二级因素构建岩溶塌陷稳定性评估的两层次指标体系,通过模糊关系来刻画因素与稳定性等级间的关系、以灰度来描述信息的不充分程度,在此基础上介绍灰色模糊综合评判的建模方法。实例说明该方法的评价结果客观可靠,具有良好的实用价值。 相似文献
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对活动断裂的活动强度进行研究,不仅是预测地震的发生、减轻地质灾害的基础,也是城市工程设计的核心问题。本文基于断裂活动性评价所具有的模糊性和灰色性特点,将模糊数学与灰色系统有机结合,提出了断裂活动性评价的模糊综合评判模型,确定了梯形隶属函数,并采用"活动性标志的相对值大,权重大"的原则确定了各个指标的权重,最终获得了断裂活动性的评判结果。利用该模式对西安地区活动断裂的活动性进行了评价,结果表明:临潼—长安断裂活动性最强,其次是渭河断裂、咸阳断裂,余下—铁炉子断裂活动性最弱。 相似文献
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电法找水工作中 ,对井的涌水量进行预测一直是难题。介绍了利用电测深曲线上升段长度、最大电阻率及电阻率的变化率与含水层富水性之间的关系 ,采用模糊综合评判法与模糊统计 ,建立模糊综合关系模型 ,预测井的涌水量 ,并在王府台地电测找水中应用 ,获得了满意的成果。 相似文献
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A geometrically anisotropic spatial process can be viewed as being a linear transformation of an isotropic spatial process. Customary semivariogram estimation techniques often involve ad hoc selection of the linear transformation to reduce the region to isotropy and then fitting a valid parametric semivariogram to the data under the transformed coordinates. We propose a Bayesian methodology which simultaneously estimates the linear transformation and the other semivariogram parameters. In addition, the Bayesian paradigm allows full inference for any characteristic of the geometrically anisotropic model rather than merely providing a point estimate. Our work is motivated by a dataset of scallop catches in the Atlantic Ocean in 1990 and also in 1993. The 1990 data provide useful prior information about the nature of the anisotropy of the process. Exploratory data analysis (EDA) techniques such as directional empirical semivariograms and the rose diagram are widely used by practitioners. We recommend a suitable contour plot to detect departures from isotropy. We then present a fully Bayesian analysis of the 1993 scallop data, demonstrating the range of inferential possibilities. 相似文献
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受工程勘察成本及试验场地限制,可获得的试验数据通常有限,基于有限的试验数据难以准确估计岩土参数统计特征和边坡可靠度。贝叶斯方法可以融合有限的场地信息降低对岩土参数不确定性的估计进而提高边坡可靠度水平。但是,目前的贝叶斯更新研究大多假定参数先验概率分布为正态、对数正态和均匀分布,似然函数为多维正态分布,这种做法的合理性有待进一步验证。总结了岩土工程贝叶斯分析常用的参数先验概率分布及似然函数模型,以一个不排水黏土边坡为例,采用自适应贝叶斯更新方法系统探讨了参数先验概率分布和似然函数对空间变异边坡参数后验概率分布推断及可靠度更新的影响。计算结果表明：参数先验概率分布对空间变异边坡参数后验概率分布推断及可靠度更新均有一定的影响,选用对数正态和极值I型分布作为先验概率分布推断的参数后验概率分布离散性较小。选用Beta分布和极值I型分布获得的边坡可靠度计算结果分别偏于保守和危险,选用对数正态分布获得的边坡可靠度计算结果居中。相比之下,似然函数的影响更加显著。与其他类型似然函数相比,由多维联合正态分布构建的似然函数可在降低对岩土参数不确定性估计的同时,获得与场地信息更为吻合的计算结果。另外,构建似然函数时不同位置处测量误差之间的自相关性对边坡后验失效概率也具有一定的影响。 相似文献
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地基沉降修正系数的Bayes概率推断 总被引：2，自引：0，他引：2
通过分析常规方法在沉降修正系数的选取中具有的定值性和随意性,引入建立在过去信息和现在样本信息之上的Bayes理论,结合某客运专线红黏土路基工程,提出用后验分布得到修正系数的取值范围。实例研究表明,用以往经验综合样本信息,估计修正系数的先验概率在某一区间上服从均匀分布。由现场载荷试验实测沉降量与理论计算沉降量分析所得的修正系数,将现场量测的沉降变形信息与先验信息结合起来,利用Bayes统计理论,由小样本试验数据推算得到修正系数的后验概率服从正态分布。对后验分布所得参数进行区间估计,得到该区域红黏土地基沉降修正系数的取值优化区间为 [1.0, 1.7],分析了不同荷载作用条件下沉降修正系数的概率分布模型。 相似文献
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《国际地质力学数值与分析法杂志》2018,42(15):1765-1784
In this paper a fully probabilistic approach based on the Bayesian statistical method is presented to predict ground settlements in both transverse and longitudinal directions during gradual excavation of a tunnel. To that end, the convergence confinement method is adopted to give estimates of ground deformation numerically. Together with in situ measurements of the evolution of vertical deflections at selected points along the tunnel line, it allows for the construction of a likelihood function and consequently in the framework of Bayesian inference to provide posterior improved knowledge of model parameters entering the numerical analysis. In this regard, the Bayesian updating is first exploited in the material identification step and next used to yield predictions of ground settlement in sections along the tunnel line ahead of the tunnel face. This methodology thus makes it possible to improve original designs by utilizing an increasing number of data (measurements) collected in the course of tunnel construction. 相似文献
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Some geological events occur infrequently but still have a significant impact upon reservoir characteristics. By their very nature, however, it can be difficult to properly estimate the proportions of uncommon events because they may not appear during limited sampling. For example, even with 40 observations and an event proportion of 0.05, there is a 0.13 chance that no events will be observed. We provide some results and guidance concerning methods to estimate proportions when such events are not detected. Two cases are discussed, estimating proportions without errors in identification and estimating proportions when errors may arise. It is well-known that the distribution of possible proportions in the error-free case can be calculated using Bayesian analysis. If one assumes a standard uniform distribution as the prior for the proportion, Bayesian analysis gives a Beta distribution for the posterior. The situation becomes more complicated, however, when detection errors are included; the true proportion has a distribution consisting of several Beta distributions. The difference in results between the error-free and with-error situations can be considerable. For example, when 10 error-free observations are made and no uncommon events are detected, there is a 0.50 chance that the true proportion exceeds 0.06 and a 0.10 chance that it exceeds 0.19. Including the effects of erroneous identifications, however, increases the median proportion to 0.09 and the upper decile to 0.27. We also examine the case where there may be prior geological information, which can be incorporated by amending the prior distribution of the proportion. We find that the use of such a prior makes little difference unless there are very few observations or there are major differences between the anticipated and the observed proportions. 相似文献
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Lawrence D. Stone 《Mathematical Geology》1990,22(3):309-332
This paper presents a Bayesian version of the classical model of Kaufman et al. for the order of discovery of hydrocarbon pools and the distribution of their sizes in a geologically homogeneous area. Using the model, a Bayesian method is developed for estimating the distribution of the size of the undiscovered pools using the information from the discovery record. This method avoids most of the arbitrary choices required by the modified maximum likelihood method developed by Lee and Wang. As an example, this method is applied to the same Bashaw reef data on which Lee and Wang demonstrated their approach. For this case, the Bayesian approach produces sharly lower estimates of undiscovered resources. 相似文献
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Eulogio Pardo-Igúzquiza 《Mathematical Geology》1999,31(1):47-65
This paper shows the application of the Bayesian inference approach in estimating spatial covariance parameters. This methodology is particularly valuable where the number of experimental data is small, as occurs frequently in modeling reservoirs in petroleum engineering or when dealing with hydrodynamic variables in groundwater hydrology. There are two main advantages of Bayesian estimation: firstly that the complete distribution of the parameters is estimated and, from this distribution, it is a straightforward procedure to obtain point estimates, confidence regions, and interval estimates; secondly, all the prior information about the parameters (information available before the data are collected) is included in the inference procedure through their prior distribution. The results obtained from simulation studies are discussed. 相似文献