回采工作面及采空区瓦斯运移的数学模型及数值模拟研究

为更真实可靠地还原回采工作面及采空区内流场和瓦斯场的分布特征,基于回采工作面和采空区不同的介质属性,并考虑瓦斯扩散能力的差异,建立了各自的强耦合多物理场数学模型,并给出了瓦斯涌出所满足的质量通量边界条件。采用COMSOL Multiphysics构建了强耦合的自由和多孔介质流动以及自由和多孔介质稀物质传递等物理场,以龙煤矿业集团股份有限公司双鸭山分公司的东保卫井田二水平一采区36号煤-570左面为研究对象,研究了回采工作面及采空区稳态下的瓦斯运移特征。结果表明:采空区浅部瓦斯体积分数较小但梯度较大,且随着采空区向深部延伸,瓦斯体积分数的梯度逐渐降低,但其数值逐渐增大并趋于稳定;另外,采空区内实测的瓦斯体积分数分布与数值模拟结果具有较好的一致性,验证了建立的回采工作面及采空区瓦斯运移的数学模型和数值模型的可靠性和准确性。     

Development of pedestrian- and vehicle-related safety performance functions using Bayesian bivariate hierarchical models with mode-specific covariates

Introduction: Pedestrian safety is a major concern as traffic crashes are the leading cause of fatalities and injuries for commuters. Traffic safety research in the past has developed various strategies to counteract traffic crashes, including the safety performance function (SPF). However, there is still a need for research dedicated to enhancing the SPF for pedestrians from perspectives of methodological framework and data input. To fill this gap, this study aims to add to the current SPF development practice literature by focusing on pedestrian-involved collisions, while considering the typical vehicle ones as well. Methods: First, bivariate models are used to account for the common unobserved heterogeneity shared by the pedestrian- and vehicle-related crashes at the same intersections. Second, variable importance ranking technique is used, along with correlation analysis, to determine mode-specific feature input. Third, the exposure information for both modes, annual pedestrian count, and annual daily vehicles traveled are used for model development. Fourth, a recent Bayesian inference approach (integrated nested Laplace approximation (INLA)) was adopted for bivariate setting. Finally, different evaluation criteria are used to facilitate comprehensive model assessment. Results: The results reveal different statistically significant factors contributing to each of the modes. The offset intersection provides better safety performance for both pedestrians and drivers as compared to other intersection designs. The model findings also corroborate the sensibility of using the bivariate models, rather than the separate univariate ones. Practical Applications: The study shows that pedestrians are more vulnerable to various intersection features such as left-turn channelization, intersection control, urban and rural population group, presence of signal mastarm on the cross-street, and mainline average daily traffic. Greater focus should be directed toward such intersection features to improve pedestrian safety.     

Influence of built environment and roadway characteristics on the frequency of vehicle crashes caused by driver inattention: A comparison between rural roads and urban roads

Introduction: With prevalent and increased attention to driver inattention (DI) behavior, this research provides a comprehensive investigation of the influence of built environment and roadway characteristics on the DI-related vehicle crash frequency per year. Specifically, a comparative analysis between DI-related crash frequency in rural road segments and urban road segments is conducted. Method: Utilizing DI-related crash data collected from North Carolina for the period 2013–2017, three types of models: (1) Poisson/negative binomial (NB) model, (2) Poisson hurdle (HP) model/negative binomial hurdle (HNB) model, and (3) random intercepts Poisson hurdle (RIHP) model/random intercepts negative binomial hurdle (RIHNB) model, are applied to handle excessive zeros and unobserved heterogeneity in the dataset. Results: The results show that RIHP and RIHNB models distinctly outperform other models in terms of goodness-of-fit. The presence of commercial areas is found to increase the probability and frequency of DI-related crashes in both rural and urban regions. Roadway characteristics (such as non-freeways, segments with multiple lanes, and traffic signals) are positively associated with increased DI-related crash counts, whereas state-secondary routes and speed limits (higher than 35 mph) are associated with decreased DI-related crash counts in rural and urban regions. Besides, horizontal curved and longitudinal bottomed segments and segments with double yellow lines/no passing zones are likely to have fewer DI-related crashes in urban areas. Medians in rural road segments are found to be effective to reduce DI-related crashes. Practical Applications: These findings provide a valuable understanding of the DI-related crash frequency for transportation agencies to propose effective countermeasures and safety treatments (e.g., dispatching more police enforcement or surveillance cameras in commercial areas, and setting more medians in rural roads) to mitigate the negative consequences of DI behavior.     

A review on molecular topology: applying graph theory to drug discovery and design

Molecular topology is an application of graph theory and statistics in fields like chemistry, biology, and pharmacology, in which the molecular structure matters. Its scope is the topological characterization of molecules by means of numerical invariants, called topological indices, which are the main ingredients of the molecular topological models. These are statistical models that are instrumental in the discovery of new applications of naturally occurring molecules, as well as in the design of synthetic molecules with specific chemical, biological, or pharmacological properties. In this review, we focus on pharmacology, which is a novel field of application of molecular topology. Besides summarizing some recent developments, we also seek to bring closer this interesting biomedical application of mathematics to an interdisciplinary readership.

基于数学模型的海平面上升对咸潮上溯的影响

气候变化导致的海平面上升对沿海地区构成极大的威胁,海平面上升已经成为全球重要的环境问题,受到社会各界的高度重视。研究建立了一维动态潮流-含氯度数学模型,计算了海平面上升对咸潮上溯的影响,结果显示:250 mg/L的咸度线随着上游来水频率的增大,咸潮上溯距离明显增大;一定上游来水条件下,随着海平面的上升,咸潮上溯界线向上游方向移动显著。并详细计算了代表口门在海平面上升10 cm、30 cm和60 cm的情况下,咸潮界线的具体上移距离,以期给三角洲地区城市供水、农业灌溉引水等提供理论指导,减轻海平面上升危害,以确保21世纪中国沿海地区资源、环境、经济和社会的可持续发展。     

考虑可靠性要素的应急物流设施选址分配问题的建模研究

为了提升防灾减灾系统的运行效率,研究应急物流设施选址-分配问题,构建考虑设施可靠性要素的双目标混合整数规划模型,以最小化系统总成本和最大化客户需求覆盖率为目标,确定应急物流中心的选址区位和各节点间各种物资的分配方案;考虑即使是选中开放的设施,也存在一定的中断概率,因此以不同情形表示开放设施中存在中断设施的情况;最后,通过MATLAB实现NSGAII算法,对模型求解,得出灾害发生时应急物流设施需求覆盖率与系统总成本的关系,为灾害发生后救援系统救灾成本和受灾点需求满足程度的权衡优化,提供可参考思路。     

矿产资源人口承载力研究

本文建立了矿产资源人口承载力分析的指标体系与计算模型,并对现有资源和预测资源的人口承载力进行了定量计算和分析;确定了２０００年、２０１０年的矿产资源人口承载数量。     

若尔盖亚高山草甸地上生物量与植被指数关系研究

为探讨亚高山草甸地上生物量和植被指数的关系,更好服务于草地生态建设,论文利用2008年7月覆盖若尔盖地区的TM影像,分别建立了7种植被指数（NDVI、RVI、DVI、SAVI、MSAVI、PVI、GVI）与地上生物量的线性和4种非线性（二次多项式、三次多项式、对数、幂函数）回归模型。研究结果表明植被指数（NDVI、DVI、SAVI、MSAVI、PVI、GVI）与地上生物量模型表现出三次多项式回归模型最优,再次是二次多项式模型、线性模型,相对较差的是指数模型;而基于RVI的地上生物量模型表现为指数模型最优,其次为三次多项式模型、二次多项式模型、线性模型。分析表明,基于RVI的地上生物量幂函数模型的模拟效果最好,复相关系数R²=0.817 7,精度检验结果表明该模型的平均误差为6.80%,拟合精度达93.20%,根据此模型模拟出若尔盖县草地地上生物量分布图,表明该县草地生物量东南部较高而西北部较低。