Empirical formulae for electric double-layer repulsion between two arbitrarily inclined clay particles

To understand the mesoscopic mechanism of clayey soil in view of macroscopic behavior, it is essential to quantitatively calculate the electric double-layer repulsion between arbitrarily inclined clay particles.However, suitable calculation methods with high efficiency and accuracy are still rare at present in literature. Based on a great number of numerical calculations of the repulsion between two inclined platy clay particles, explicit empirical formulae for estimating electric double-layer repulsion between clay particles are put forward. Comparison between the empirical solutions and corresponding numerical results shows that the proposed formulae have a reasonable accuracy, and application of the presented formula is easy and efficient.

In-Tunnel Blast Pressure Empirical Formulas for Detonations External, Internal and at the Tunnel Entrance

In order to define the loading on protective doors of an underground tunnel, the exact knowledge of the blast propagation through tunnels is needed. Thirty-three scale high-explosive tests are conducted to obtain in-tunnel blast pressure for detonations external, internal and at the tunnel entrance. The cross section of the concrete model tunnel is 0.67 m2. Explosive charges of TNT, ranging in mass from 400 g to 4 600 g, are detonated at various positions along the central axis of the model tunnel. Blast gages are flush-installed in the interior surface of the tunnel to record side-on blast pressure as it propagates down the tunnel. The engineering empirical formulas for predicting blast peak pressure are evaluated, and are found to be reasonably accurate for in-tunnel pressure prediction.

Research on Empirical Formula of Displacement Efficiency in Bohai Oilfield

Displacement efficiency is an important index of water drive oilfield. This article takes water drive oilfield as the object to analyze the influence factors of displacement efficiency in limit water cut stage of water drive oilfield. The displacement efficiency experimental data of 99 cores which come from 65 development wells of 34 oilfields have been collected. The authors use the method of multiple linear regression analysis to establish a new empirical formula of displacement efficiency. The relative error of the empirical formula is less than 7% compared to the experimental data.

A Simple Empirical Formula for Predicting the Ultimate Strength of Ship Plates with Elastically Restrained Edges in Axial Compression

An investigation is conducted on the static ultimate limit state assessment of ship hull plates with elastically restrained edges subjected to axial compression.Both material and geometric non-linearities were considered in finite element(FE)analysis.The initial geometric imperfection of the plate was considered,while the residual stress introduced by welding was not considered.The ultimate strength of simply supported ship hull plates compared well with the existing empirical formula to validate the correctness of the applied boundary conditions,initial imperfection and mesh size.The extensive FE calculations on the ultimate strength of ship hull plates with elastically restrained edges are presented.Then a new simple empirical formula for plate ultimate strength is developed,which includes the effect of the rotational restraint stiffness,rotational restraint stiffness,and aspect ratios.By applying the new formula and FE method to ship hull plates in real ships,a good coincidence of the results between these two methods is obtained,which indicates that the new formula can accurately predict the ultimate strength of ship hull plates with elastically restrained edges.

Research and Experimental Application of Empirical Formulas to Calculate Riverbank Erosion in Tien River in the Mekong Delta

In recent years,the problem of riverbank and coastal erosion in the MD(Mekong Delta)is very complicated;landslides occur in most of the inland and coastal provinces.Most riverbank landslides occur gradually,but in contrast to sudden landslides that cause great damage,occur with increasing frequency.This shows that the trend of riverbank erosion will be more complicated and more frequent,especially in the context of extreme weather changes and changes in hydrological regime in the next time.Statistics from the authorities show that,if in 2010 the whole region had nearly 100 landslide points;by 2020 it had increased to more than 680 points;in which Dong Thap in the Tien River is one of the two localities with the most serious riverbank erosion.Currently,there are many methods used to assess and forecast the level of riverbank erosion in specific areas,such as:method of document analysis,measurement data;physical model;mathematical models and empirical formulas.In this study,the empirical formula is used to calculate the landslide level for the Tien River section in Cao Lanh,Dong Thap province.The calculation results according to the empirical formula have a certain agreement with the actual data,the correlation coefficient is 0.90 and the Nash coefficient is 0.78,the relative error of less than 15%is 80%of the cross-section.Such results have shown the possibility of applying empirical formulas to establish and calculate for other landslide areas along the banks of Hau River and MD.

Empirical Neutron Cross Section Formulae for (n, p) and (n, d) Reactions of He-3 Target

In this work, new cross section formulae for (n, p) and (n, d) reactions of He-3 have been investigated as a function of incident neutron energy. The new Empirical formulae were produced by using the least squares method to the experimental cross sections data, which were taken from Experimental Nuclear Reaction Data EXFOR Database Version of 2021. Several functions were examined to choose the best one that fits the data. Statistical hypothesis testing was used to insure how well the suggested equations fit the set of data. Two statistical indicators were used for each case for goodness-of-fit. Very high compatibility was found between the empirical values and the experimental data for both reactions.

A semi-empirical formula for evaluating residual strain of soils under earthquake loading

A new semi-empirical formula for evaluating the residual strain of soils under earthquake loading is presented in this paper based on the incremental method and the increment model proposed by the authors.When the incident loading is uniform,the results calculated by the new formula are nearly the same as those by the existing formula.For excitation of the random earthquake loading,the results calculated by the new formula are compared to the results obtained by dynamic triaxial tests.The dynamic triaxial tests had been performed considering different seismic waves,confining stresses, consolidation ratios,and types of cohesive soils.The comparison between the calculated and tested results indicate that the presented formula can efficiently and practically describe the time-dependent process of the soil residual strains under actual seismic loads.

ON LINE COMPUTATION OF EMPIRICAL FORMULA BY MEANS OF ELEMENTAL ANALYSIS AND ITS PROGRAM DESIGN

On line determination of empirical formula for organic compounds with an automatic elemental analyzer and its program design method were investigated. The computational results shews that the reliability of computational results depends on the accuracy of the analytical data and the organic compound itself.

SPAGINS:semiempirical parameterization for fragments in gamma-induced nuclear spallation

From the empirical phenomena of fragment distributions in nuclear spallation reactions,semiempirical formulas named SPAGINS were constructed to predict fragment cross-sections in high-energyγ-induced nuclear spallation reactions(PNSR).In constructing the SPAGINS formulas,theoretical models,including the TALYS toolkit,SPACS,and Rudstam formulas,were employed to study the general phenomenon of fragment distributions in PNSR with incident energies ranging from 100 to 1000 MeV.Considering the primary characteristics of PNSR,the SPAGINS formulas modify the EPAX and SPACS formulas and efficiently reproduce the measured data.The SPAGINS formulas provide a new and effective tool for predicting fragment production in PNSR.

Updating empirical results of wind loads on cooling towers for turbulence intensity effects

Variations of wind effects on large cooling towers observed at different turbulence intensities for our previous full-scale measurements might be caused by the inherent uncertainties in our physical experiments.Accordingly,the one-way analysis of variance(ANOVA)technique is employed for analyzing the data measured on the prototype Pengcheng cooling tower.Because ANOVA indicates that the variations of full-scale wind effects are basically the effects of turbulence intensity,the empirical results of wind loads on cooling towers obtained by generalizing physical experimental data without considering the turbulence intensity effects are updated using model test results obtained in multiple flow fields.The empirical fluctuating wind pressure distribution is updated based on the fact that the fluctuating wind pressure coefficient linearly increases with the increase in the turbulence intensity,and the empirical formulae of the spectra and the coherences is updated based on conservative assumptions.Comparisons of the empirical results and full-scale measurement data suggest that the original empirical results are either too conservative or unsafe for use.However,economic efficiency and conservativeness will be balanced if the updated empirical results are employed for the wind engineering design.

Empirical formulas for proton decay half-lives:Role of nuclear deformation and Q-value

Two empirical formulas for the proton decay half-lives including nuclear deformation are proposed. The formula with parameter set I gives the logarithm of the proton decay half-lives as an explicit function of the orbital angular momentum with eight adjustable parameters, whereas that with set II represents the logarithm of the reduced half-lives as an implicit function of the angular momentum with seven adjustable parameters. Experimental data for the half-lives of 44 proton emitters in the ground state or isomeric state were used to obtain the parameters. The experimental and calculated Q values were used. Different sets of parameters were obtained for the ground state transition, isomeric state transition, and all transitions for both deformed and spherical nuclei. The best agreement with experimental data was observed for set I for deformed proton emitters with exr）erimental Q values.

A New Accident Prediction Model for Highway-Rail Grade Crossings Using the USDOT Formula Variables

This paper presents the ZINDOT model,a methodology utilizing a zero-inflated negative binomial model with the variables used in the United States Department of Transportation(USDOT)accident prediction formula,to determine the expected accident count at a highway-rail grade crossing.The model developed contains separate formulas to estimate the crash prediction value depending on the warning device type installed at the crossing:crossings with gates,crossings with flashing lights and no gates,and crossings with crossbucks.The proposed methodology also accounts for the observed accident count at a crossing using the Empirical Bayes method.The ZINDOT model estimates were compared to the USDOT model estimates to rank the crossings based on the expected accident frequency.It is observed that the new model can identify crossings with a greater number of accidents with Gates and Flashing Lights and Crossbucks in both Illinois(data which were used to develop the model)and Texas(data which were used to validate the model).A practitioner already using the USDOT formulae to estimate expected accident count at a crossing could easily use the ZINDOT model as it employs the same variables used in the USDOT formula.This methodology could be used to rank highway-rail grade crossings for resource allocation and safety improvement.

基于遗传算法的磨削力模型系数优化及验证

在磨削力模型求解问题中,目前大多使用分段计算法或列方程组直接计算各个待求系数,不仅计算量大且其精度也无法保证。另外,传统的回归模型容易陷入局部最优,难以描述非线性关系。为此,将遗传算法引入到非线性优化函数参数优化中,基于外圆横向磨削力模型、平面磨削力模型、外圆纵向磨削力模型等现有的模型数据,开展磨削力理论模型的系数优化方法研究。相关性分析结果表明:通过计算得到的3种模型磨削力的预测精度提高了14.69%~42.54%,且3种模型所预测的法向磨削力的平均误差分别为5.9%、9.13%、3.23%,切向力平均误差分别为6.78%、8.36%、3.69%。经对比知,优化后的模型拟合度较好,模型预测精度显著提高。遗传算法优化后的非线性优化函数GA-LSQ算法更适合磨削力模型的求解,可对磨削力的预测及实际加工生产中的参数优化提供参考。

基于回归分析法的矩形槽圆管吸能特性研究

为了研究矩形槽圆管吸能特性规律,提出了一种基于回归分析法的结构参数与吸能特性关系的拟合方法。针对轴向冲击下的圆管动态响应,首先,建立了6005A-T6材料的Cowper-Symonds本构模型,并验证了仿真模型的准确性;其次,设计了正交试验,建立了吸能特性与结构参数之间的计算模型;然后,利用多元线性与非线性回归分析方法对计算模型参数求解,并对比了两种拟合结果,得到了峰值力和吸能量的经验公式;接着,对比经验公式与有限元数值计算值表明,经验公式在研究范围内具有较高准确性,误差在8%以内;最后,引入吸能性能指标并使用遗传算法对圆管进行了结构优化,优化结果表明,在研究范围内当直径和槽端距最小、壁厚和槽宽最大、槽深最浅时,矩形槽圆管的吸能性能最优。

基于卡尔曼滤波的室内二次辐射噪声测量修正方法

地铁运营诱发的沿线建筑物二次辐射噪声已成为城市噪声投诉重要来源,大量的轨道减振措施因而得以应用。但是由于测试条件的原因,对减振轨道区间沿线的建筑物二次辐射噪声进行测试所获取的噪声信号往往与背景噪声信号差异较小,致使室内二次辐射噪声评估结果不稳定。为评估观测信号与背景噪声信号接近时的室内二次辐射噪声,提出一种基于卡尔曼滤波方法的楼板振动与室内噪声测试数据联合评估方法。首先,根据卡尔曼滤波器工作原理,提出室内观测噪声误差矩阵和经验公式预测方法误差矩阵的构造方法。而后采用向典型信号中掺入高斯白噪声的方法结合现场实测数据验证了该方法的可行性。最后基于该方法对比分析几种经验预测公式的效果。

大庆油田长垣地区萨零组横波速度预测方法研究

萨零组是大庆油田萨尔图油层组顶部发育的一个沉积单元,含油面积广,油气资源丰富。萨零组储层致密、物性差、一直未动用,为了对大庆油田长垣地区萨零组进行高质量勘探开发,急需开展萨零组储层横波速度预测方法的研究。根据萨零组在平面上的分布特征,将长垣地区由南到北分5个区块,以67口井Xmac测井曲线和全波声波测井资料为基础,采用最小二乘法,分别进行线性关系和二次多项式关系拟合,得到长垣地区不同区块的纵横波速度经验公式。线性关系拟合的相关指数比二次多项式关系拟合的相关指数小,二次多项式关系预测值更接近实测值,应用不同区块的经验公式可以预测出横波速度,弥补了萨零组横波速度资料少的问题,对于提高垂向应力解释精度、判断压后裂缝形态等方面具有参考价值。

基于CEL法熔滴冲击基板的TPF/FSI数值模拟

航空发动机和燃气轮机的高温工作环境会对其热端金属部件造成不可逆损伤,热障涂层(thermal barrier coatings,TBCs)能够承受高温和高压的侵蚀性环境,从而保证金属部件使用的安全性及可靠性。以空心Y_(2)O_(3)-ZrO_(2)(yttrium-stabilized zirconia,YSZ)粒子在等离子焰流中的2种形态,即全熔熔滴和空心熔滴为研究对象对其冲击铺展过程进行了模拟。基于ABAQUS/EXPLICIT耦合欧拉-拉格朗日(coupled Eulerian-Lagrangian,CEL)有限元方法,首先针对ABAQUS缺少相变模型,导致使用CEL方法计算熔滴铺展形貌失真的问题,给出了适用的动力黏度随温度变化的经验公式。此外,考虑周围空气对熔滴铺展过程的影响,提出了“两相流(two phase flow,TPF)/流-固耦合(fluid-structure-interaction,FSI)”2.5D模型,对熔滴冲击基板凝固成型及空气卷入的过程进行了模拟,并揭示了2种熔滴铺展形貌存在较大差异的机理,对制备隔热性能更优的热障涂层具有指导意义。

考虑SSI效应的升降作业平台惯容减振优化设计

升降作业平台在野外工地、河滩等环境中高空作业时,其支腿底盘的明置基础与软土地基会发生动力相互作用,从而改变作业平台系统的动力特性。提出了考虑土与结构相互作用效应下的含3种不同惯容减振系统(SIS,SPIS-1,SPIS-2)的升降作业平台动力学模型,推导了作业平台在简谐激励下的振幅放大因子以及在随机激励下的响应均方值的解析表达式。利用遗传算法分别求解了位于中硬土、中软土以及软弱土3种地基表面的作业平台在H_(∞)和H_(2)优化准则下,惯容减振系统的最优设计刚度比和阻尼比。对最优状态下的各减振系统进行减振效果分析,结果表明:SPIS-2减振系统效果最佳,不仅最大程度地抑制了升降作业平台的共振效应,而且更有效地拓宽频带范围;SSI效应可以降低简谐激励下作业平台的位移振幅放大因子和随机激励下作业平台绝对位移的均方值;SSI效应对简谐激励和随机激励下惯容减振系统的最优设计参数影响很小,因此针对3种惯容减振系统位于不同地基表面下的最优设计参数拟合出经验公式,为升降作业平台的研发和减振设计奠定了理论基础。

大跨梁-拱组合刚构桥船撞力和抗撞性能研究

梁-拱组合刚构桥是一种新桥型,船撞研究较少。该文以礼嘉嘉陵江大桥为工程背景,研究大跨度上承式梁-拱组合刚构桥梁的船撞力标准值和抗撞性能。首先确立了代表船型和船撞计算工况,利用ANSYS/LS-DYNA非线性有限元瞬态动力软件模拟了单墩模型在各工况下船桥碰撞过程,并对比了船撞力有限元仿真结果与多种经验公式计算结果。最后利用全桥模型和验算截面的极限承载力反推得到桥墩的极限抗船撞力,对桥墩的抗撞性能进行了评估。结果表明:船撞力具有很强的非线性波动特征,船艏最大撞深发生时刻滞后于最大撞击力发生时刻,船桥碰撞过程中的系统能量主要是由船舶动能转化为船艏局部变形内能;不同的船撞力经验公式的计算结果相差较大,推荐采用动力仿真模拟值;极限抗船撞力验算结果表明礼嘉嘉陵江大桥主墩的抗撞性能满足要求。

隧道涌水量预测计算方法综述

预测隧道涌水量对于保障隧道施工安全、进度、洞室稳定和人身安全问题至关重要。国内外学者已提出多种预测方法,但是存在不同适用条件,根据隧道的水文地质条件选取恰当的方法能有效提高预测精度。对解析公式法、经验公式法、数值法、随机性数学模型预测法等多种涌水量预测方法进行了系统梳理和分析,通过对这些方法的基本原理及适用条件进行综合分析,讨论了当前涌水量预测方法存在的不足之处,并提出改进方向。结果表明:解析公式法应用简单,但结果偏差较大;经验公式法源于工程案例总结,适用于相似条件下隧道涌水量预测;数值法通过数学模型模拟,可以解决复杂水文地质条件下的涌水量预测,但对勘察设计阶段获取的水文地质参数提出更高的要求;随机性数学模型方法需要大量数据来保证结果的准确性;其他方法主要依赖于地理信息系统(GIS)技术、同位素分析法等手段,通过科学分析来识别并判断地下水量及其流动通道的地质特征,需要充分的数据支持和详尽的地下勘探结果作为依据。研究成果可为实际工程中选择合适的涌水量预测方法提供参考。