关于拉氏积分计算中的条件验证谈《微积分学教程》中的一处错误

菲赫金哥尔茨著《微积分学教程》中在计算拉普拉斯积分中称根据更序定理可施行积分次序的变更以求其值,原书未作验证。本文指出该积分不满足更序定理的条件,但在去掉积分变量t的下限O这一点后,积分就满足定理的条件了,然后通过极限步骤以求积分的值。     

自动网格体系在柱体绕流大涡模拟中的适用性评估

为了评估基于snappyHexMesh方法生成的自动网格体系在二维柱体绕流大涡模拟中的适用性,比较了该自动网格体系与人工网格体系对于Re为3 900圆柱绕流和Re为22 000方柱绕流的数值模拟结果。通过设置合理的计算域以及数值格式,采用snappyHexMesh自动网格以及人工网格的算例都表现出良好的数值稳定性。将不同网格体系的数值模拟结果与物理试验结果进行对比,结果表明,采用snappyHexMesh网格可以提高数值求解效率;圆柱绕流对网格体系的变化比较敏感,不同密度的snappyHexMesh网格会显著影响圆柱气动力特征以及尾流区域的流场结果;snappyHexMesh网格体系可以准确预测方柱绕流,在方柱绕流大涡模拟中具有相较于圆柱绕流更好的适用性。     

鄂尔多斯盆地长7储层致密油水平井CO2补充能量与吞吐参数优化

长7储层是鄂尔多斯盆地主要的致密区块,近一半的致密油分布其中。针对长7储层开采渗透率低、开采难度大、依靠弹性开采产能较低、能量衰竭较快等问题,通过数值模拟的方法,构建水平井分段压裂数值模拟模型,首先对比不同吞吐方式对油田产能的影响,优选出CO₂吞吐为首选的补充能量方式。其次对井网形式、井网参数及吞吐参数进行优化研究。最终优选出合适的吞吐方案,达到提高生产效率的目的。结果表明,该储层的最优注采吞吐参数为：周期注入量为2 673 t、注入压力为21 MPa、注入速度为90 t/d、焖井时间为10 d。研究对鄂尔多斯盆地长7储层提高采收率具有一定的参考意义。     

高岭土负载绿色合成纳米铁的制备及其对孔雀石绿和铅离子的去除性能研究

红背桂树叶提取物绿色合成铁纳米颗粒（Fe NPs）在水环境修复领域具有很高的应用潜力。但由于Fe NPs存在团聚、易氧化等不稳定因素,在去除污染物时抑制了反应活性。为了解决这一问题,使用一步法制备了高岭土负载Fe NPs （K-Fe NPs）,并系统地检测了其对孔雀石绿和Pb²⁺混合污染物的去除反应活性。采用X射线衍射（XRD）和傅里叶红外光谱（FTIR）对Fe NPs、高岭土和K-Fe NPs进行表征和分析。3种材料对比实验结果表明,K-Fe NPs对单独的孔雀石绿和Pb²⁺的去除效率（99.10%和93.41%）优于Fe NPs（93.67%和85.33%）和高岭土（32.54%和12.50%）。此外,K-Fe NPs经过4次重复循环对孔雀石绿和Pb²⁺的去除率仍分别为74.02%和55.48%。结果表明,K-Fe NPs在染料和重金属离子复合污染修复领域具有一定应用前景。     

图的一种加权邻接矩阵谱半径和能量的界

图G的一种加权邻接矩阵记为A_db(G)=(a^db_ij)_n×n,若顶点v_i和顶点v_j相邻,则$a_{i j}^{d b}=\frac{d_{i}+d_{j}}{d_{i} d_{j}}$, 反之a^db_ij=0.给出图G的加权谱半径的上下界,并在此基础上给出加权谱半径的Nordhaus-Gaddum-type关系.得到了图G的加权能量的几个上下界,并在此基础上给出加权能量的Nordhaus-Gaddum-type关系.     

基于掺铕钨酸盐荧光强度比的非接触温度传感

为了突破传统测温技术应用的局限性,利用NaY （WO₄）₂：Eu³⁺玻璃陶瓷（glass ceramics,GC）实现了具有非接触、实时响应、自校准等优势的双模荧光强度比（luminescence intensity ratio,LIR）测温。采用高温熔融淬灭法制备出含NaY （WO₄）₂：Eu³⁺纳米晶的透明GC样品,并进行系列光谱测量和热敏性能分析。结果表明,样品中Eu³⁺的激发态能级⁵D₁和⁵D₀和基态能级⁷F₂和⁷F₀为两对独立的热耦合能级,可分别基于这两对热耦合能级实现性能优异的双模LIR温度传感。该双模LIR测温技术数据可靠、测温范围广、灵敏度高,再结合GC材料优势,是可用于光纤温度传感器的核心技术材料。     

超高压高CO2气藏偏差系数图版扩展与应用

Standing-Katz图版法确定天然气偏差系数是目前最常用、最基础的方法之一,但存在人工读值误差大、在超高压（拟对比压力大于15）和高CO₂含量天然气使用受限等问题。设计单组分偏差系数测定实验,结合Standing-Katz图版曲线变化规律,将图版拟对比压力扩展到30,拟对比温度扩展到3.6,并将图版数字化;基于不同CO₂含量偏差系数测定实验结果,推导了考虑不同CO₂含量的天然气拟临界压力、拟临界温度计算新模型,与常规非烃校正模型相比,新模型计算精度更高,适用范围更广。进一步将新临界参数校正模型嵌入到偏差系数扩展图版中,得到不同CO₂含量的偏差系数扩展图版,该图版在南海西部超高温高压、高CO₂含量天然气偏差系数计算中误差较小（不超过3%）,应用效果良好。     

2-Methoxybenzoyl phosphate: a new substrate for continuous fluorimetric and spectrophotometric acyl phosphatase assays

A new aromatic acyl phosphate, 2-methoxybenzoyl phosphate, has been synthesized. The compound shows an intrinsic fluorescence; it displays an intense emission band at 390 nm upon excitation in the near UV region. This band practically disappears after hydrolysis of the product. On the other hand, the product displays differences in the near UV absorption spectra measured before and after hydrolysis. The at 301 nm is 2720 M^–1 cm^–1, a value that is 4.3-fold higher than that of benzoyl phosphate (the usual substrate for acylphosphatase assay) at 283 nm. The main kinetic parameters of three different acylphosphatase molecular forms (the muscular isoenzyme and two subtypes of the organ common isoenzyme) were determined using both benzoyl phosphate and 2-methoxybenzoyl phosphate as substrates, and then compared. These kinetic data and the UV absorption and fluorescence properties of 2-methoxybenzoyl phosphate sugest that this compound has better substrate features than benzoyl phosphate, and can be used for both high sensitivity continuous fluorimetric and UV absorption spectrophotometric assays of acylphosphatase.     

Energy flow and community structure in freshwater ecosystems

The goal of this article is twofold: 1) It aims at providing an overview on some major results obtained from energy flow studies in individuals, populations, and communities, and 2) it will also focus on major mechanisms explaining community structures. The basis for any biological community to survive and establish a certain population density is on the one hand energy fixation by primary producers together with adequate nutrient supply and the transfer of energy between trophic levels (bottom-up effect). On the other hand, predator pressures may strongly control prey population densities one or more trophic levels below (top-down effect). Other interpopulation effects include competition, chemical interactions and evolutionary genetic processes, which further interact and result in the specific structuring of any community with respect to species composition and population sizes.