GLOBAL SOLUTIONS TO 1D COMPRESSIBLE NAVIER-STOKES/ALLEN-CAHN SYSTEM WITH DENSITY-DEPENDENT VISCOSITY AND FREE-BOUNDARY

This paper is concerned with the Navier-Stokes/Allen-Cahn system,which is used to model the dynamics of immiscible two-phase flows.We consider a 1D free boundary problem and assume that the viscosity coefficient depends on the density in the form ofη(ρ)=ρ^(α).The existence of unique global H^(2m)-solutions(m∈N)to the free boundary problem is proven for when 0<α<1/4.Furthermore,we obtain the global C^(∞)-solutions if the initial data is smooth.

Influence of variable viscosity and double diffusion on the convective stability of a nanofluid flow in an inclined porous channel

The influence of variable viscosity and double diffusion on the convective stability of a nanofluid flow in an inclined porous channel is investigated.The DarcyBrinkman model is used to characterize the fluid flow dynamics in porous materials.The analytical solutions are obtained for the unidirectional and completely developed flow.Based on a normal mode analysis,the generalized eigenvalue problem under a perturbed state is solved.The eigenvalue problem is then solved by the spectral method.Finally,the critical Rayleigh number with the corresponding wavenumber is evaluated at the assigned values of the other flow-governing parameters.The results show that increasing the Darcy number,the Lewis number,the Dufour parameter,or the Soret parameter increases the stability of the system,whereas increasing the inclination angle of the channel destabilizes the flow.Besides,the flow is the most unstable when the channel is vertically oriented.

Numerical Simulation of Slurry Diffusion in Fractured Rocks Considering a Time-Varying Viscosity

To analyze the effects of a time-varying viscosity on the penetration length of grouting,in this study cement slur-ries with varying water-cement ratios have been investigated using the Bingham’sfluidflow equation and a dis-crete element method.Afluid-solid coupling numerical model has been introduced accordingly,and its accuracy has been validated through comparison of theoretical and numerical solutions.For different fracture forms(a single fracture,a branch fracture,and a fracture network),the influence of the time-varying viscosity on the slurry length range has been investigated,considering the change in the fracture aperture.The results show that under different fracture forms and the same grouting process conditions,the influence of the time-varying viscosity on the seepage length is 0.350 m.

Study of the Viscosity and Specific Gravity of the Ternary Used Frying Oil (UFO)-Bioethanol-Diesel System

Fossil fuels cover around 80% of global energy consumption. However, the problems linked to their use justify the choice of using biofuel. In order to reduce as much as possible, diesel rate, an increase in the number of additives may be considered. Thus, in this work, the study of the used frying oil (UFO), bioethanol and diesel ternary system was undertaken. It emerges from this study that the addition of bioethanol reduces the viscosity and the density of the ternary system and permits a 90% substitution rate for diesel between the UFO and bioethanol. Finally, the percentage of oil becomes 40% after adding alcohol compared to the binary diesel crude vegetable oil mixture where this rate is 30%.

Molecular composition of naphthenic acids in a Chinese heavy crude oil and their impacts on oil viscosity

Most heavy crude oils underwent biodegradation and generated a significant amount of naphthenic acids. Naphthenic acids are polar compounds with the carboxylic group and are considered as a major factor affecting the oil viscosity. However, the relationship between the molecular composition of naphthenic acids and oil viscosity is not well understood. This study examined a “clean” heavy oil with low contents of heteroatoms but had a high content of naphthenic acids. Naphthenic acids were fractionated by distillation and caustic extraction. The molecular composition was characterized by high-resolution Orbitrap mass spectrometry. It was found that the 2- and 3-ring naphthenic monoacids with 15–35 carbon atoms are dominant components of the acid fractions;the caustic extraction is capable of isolating naphthenic acids with less than 35 carbons, which is equivalent to the upper limit of the distillable components, but not those in the residue fraction;the total acid number of the heavy distillates is higher than that of the residue fraction;the viscosity of the distillation fraction increases exponentially with an increased boiling point of the distillates. Blending experiments indicates that there is a strong correlation between the oil viscosity and acids content, although the acid content is only a few percent of the total oil.

Prediction of the viscosity of natural gas at high temperature and high pressure using free-volume theory and entropy scaling

Eighteen models based on two equations of state(EoS),three viscosity models,and four mixing rules were constructed to predict the viscosities of natural gases at high temperature and high pressure(HTHP)conditions.For pure substances,the parameters of free volume(FV)and entropy scaling(ES)models were found to scale with molecular weight,which indicates that the ordered behavior of parameters of Peng-Robinson(PR)and Perturbed-Chain Statistical Associating Fluid Theory(PC-SAFT)propagates to the behavior of parameters of viscosity model.Predicting the viscosities of natural gases showed that the FV and ES models respectively combined with MIX4 and MIX2 mixing rules produced the best accuracy.Moreover,the FV models were more accurate for predicting the viscosities of natural gases than ES models at HTHP conditions,while the ES models were superior to PRFT models.The average absolute relative deviations of the best accurate three models,i.e.,PC-SAFT-FV-MIX4,tPR-FVMIX4,and PC-SAFT-ES-MIX2,were 5.66%,6.27%,and 6.50%,respectively,which was available for industrial production.Compared with the existing industrial models(corresponding states theory and LBC),the proposed three models were more accurate for modeling the viscosity of natural gas,including gas condensate.

Influence of substituting B_(2)O_(3) with Li_(2)O on the viscosity,structure and crystalline phase of low-reactivity mold flux

The low-reactivity mold flux with low SiO_(2)content is considered suitable for the continuous casting of high-aluminum steel since it can significantly reduce the reaction between Al in steel and SiO_(2)in mold flux.However,the traditional low-reactivity mold flux still presents some problems such as high viscosity and strong crystallization tendency.In this study,the co-addition of Li_(2)O and B_(2)O_(3)in CaO–Al_(2)O_(3)–10wt%Si O_(2)based low-reactivity mold flux was proposed to improve properties of mold flux for high-aluminum steel,and the effect of Li_(2)O replacing B_(2)O_(3)on properties of mold flux was investigated.The viscosity of the mold flux with 2wt%Li_(2)O and 6wt%B_(2)O_(3)reached a minimum value of 0.07 Pa·s.The break temperature and melting point showed a similar trend with the viscosity.Besides,the melt structure and precipitation of the crystalline phase were studied using Raman and X-ray diffraction spectra to better understand the evolution of viscosity.It demonstrated that with increasing Li_(2)O content in the mold flux from 0 to 6 wt%,the degree of polymerization of aluminate and the aluminosilicate network structure increased because of increasing Li+released by Li_(2)O,indicating the added Li_(2)O was preferentially associated with Al^(3+)as a charge compensator.The precipitation of LiAlO_(2)crystalline phase gradually increased with the replacement of B_(2)O_(3)by Li_(2)O.Therefore,Li_(2)O content should be controlled below 2wt%to avoid LiAlO_(2)precipitation,which was harmful to the continuous casting of highaluminum steels.

Study on the in situ desulfurization and viscosity reduction of heavy oil over MoO_(3)–ZrO_(2)/HZSM-5 catalyst

Heavy oil is characterized by high viscosity.High viscosity makes it challenging to recover and transport.HZSM-5,MoO_(3)/HZSM-5,ZrO_(2)/HZSM-5 and MoO_(3)–ZrO_(2)/HZSM-5 catalysts were developed to promote in situ desulfurization and viscosity reduction of heavy oil.The physical and chemical properties of catalysts were characterized by XPS,XRD,TEM,NH3-TPD,etc.The effects of temperature,catalyst type and addition amount on viscosity and composition of heavy oil were evaluated.The results showed that the presence of MoO_(3)–ZrO_(2)/HZSM-5 nanoparticles during aquathermolysis could improve the oil quality by reducing the heavy fractions.It reduced viscosity by 82.56%after the reaction at 280℃ and catalyst addition of 1 wt%.The contents of resins and asphaltic in the oil samples were 5.69%lower than that in the crude oil.Sulfur content decreased from 1.45%to 1.03%.The concentration of H2S produced by the reaction was 2225 ppm.The contents of sulfur-containing functional groups sulfoxide and sulfone sulfur in the oil samples decreased by 19.92%after the catalytic reaction.The content of stable thiophene sulfur increased by 5.71%.This study provided a basis for understanding the mechanism of heavy oil desulfurization and viscosity reduction.

An artificial viscosity augmented physics-informed neural network for incompressible flow

Physics-informed neural networks(PINNs)are proved methods that are effective in solving some strongly nonlinear partial differential equations(PDEs),e.g.,Navier-Stokes equations,with a small amount of boundary or interior data.However,the feasibility of applying PINNs to the flow at moderate or high Reynolds numbers has rarely been reported.The present paper proposes an artificial viscosity(AV)-based PINN for solving the forward and inverse flow problems.Specifically,the AV used in PINNs is inspired by the entropy viscosity method developed in conventional computational fluid dynamics(CFD)to stabilize the simulation of flow at high Reynolds numbers.The newly developed PINN is used to solve the forward problem of the two-dimensional steady cavity flow at Re=1000 and the inverse problem derived from two-dimensional film boiling.The results show that the AV augmented PINN can solve both problems with good accuracy and substantially reduce the inference errors in the forward problem.

Enhancing Heavy Crude Oil Flow in Pipelines through Heating-Induced Viscosity Reduction in the Petroleum Industry

The process of transporting crude oil across pipelines is one of the most critical aspects of the midstream petroleum industry.In the present experimental work,the effect of temperature,pressure drop,and pipe diameter on the flow rate of heavy crude oil have been assessed.Moreover,the total discharge and energy losses have been evaluated in order to demonstrate the improvements potentially achievable by using solar heating method replacing pipe,and adjusting the value of the initial pressure difference.Crude oil of API=20 has been used for the experiments,with the studied pipelines sections connecting the separator unit to the storage tank operating at a temperature of 25℃-100℃,pressure drop of 3,4,5,and 6 kg/cm^(2),and with pipe diameter of 4,6,and 8 in.The results show that on increasing the temperature and/or the pressure drop,the flow rate through the pipeline becomes higher,thus raising the total pumping energy(as the pipe diameter increase),while energy losses increase from the last separator to the storage tank in the field.A pipe diameter increase can also produce a growth of the total pumping energy(i.e.,energy losses increase).The results of the present analysis suggest that employing an optimal temperature(50℃)is needed to ensure good performance.

Influences of across-strike heterogeneous viscosity on the earthquake cycle in a three-dimensional strike-slip fault model

Geodetic observations have shown that there exist large differences in the viscosity of the deep lithosphere across many large strike-slip faults.Heterogeneity in lithospheric viscosity structure can influence the efficiency of stress transfer and thus may have a significant effect on the earthquake cycle.Until now,how the lateral viscosity variation across strike-slip faults affects the earthquake cycles is still not well understood.Here,we investigate the effects of across-strike viscosity variation on long-term earthquake behaviors with a three-dimensional strike-slip fault model.Our model is a quasi-static model which is controlled by the slip-weakening friction law and powerlaw rheology.By comparing with the reference case,we find that low viscosity on one side of the fault results in a smaller rupture area but with a higher Coulomb stress drop on the ruptured fault region.In addition,low viscosity also leads to a small Coulomb stress accumulation rate.These combined effects increase the earthquake recurrence interval by approximately 10%and the earthquake moments by about 30%when the low viscosity is related to a geothermal gradient of 30 K/km.In addition,across-strike viscosity variation causes asymmetric interseismic ground surface deformation rate.As the viscosity contrast increases,the difference in the interseismic ground surface deformation rate between the two sides of the fault gradually increases,although the asymmetric feature is not pronounced.This asymmetry of interseismic ground deformation rate across a strike-slip fault is supposed to result in asymmetric coseismic deformation if the long-term plate motion velocity is invariant.As a result,this kind of asymmetry of interseismic deformation may influence the evaluation of potential earthquake hazards along large strike-slip faults with lateral viscosity contrast.

Incompressible Limit of the Oldroyd-B Model with Density-Dependent Viscosity

This paper studies the existence and uniqueness of local strong solutions to an Oldroyd-B model with density-dependent viscosity in a bounded domain Ω ⊂ Rd, d = 2 or 3 via incompressible limit, in which the initial data is “well-prepared” and the velocity field enjoys the slip boundary conditions. The main idea is to derive the uniform energy estimates for nonlinear systems and corresponding incompressible limit.

Lipschitz Regularity of Viscosity Solutions to the Infinity Laplace Equation

In this paper, we study the viscosity solutions of the Neumann problem in a bounded C2 domain Ω, where ΔN∞ is called the normalized infinity Laplacian. The normalized infinity Laplacian was first studied by Peres, Shramm, Sheffield and Wilson from the point of randomized theory named tug-of-war, which has wide applications in optimal mass transportation, financial option price problems, digital image processing, physical engineering, etc. We give the Lipschitz regularity of the viscosity solutions of the Neumann problem. The method we adopt is to choose suitable auxiliary functions as barrier functions and combine the perturbation method and viscosity solutions theory. .

稠油乳化黏度测量曲线与乳液特性的关系

稠油化学驱过程中降黏剂浓度对稠油乳化影响明显,通过测量不同浓度降黏剂的稠油乳状液黏度-时间曲线,以黏度、降黏率为指标分析了黏度曲线与乳液特性的关系。结果表明,当降黏剂的浓度远大于临界乳化浓度时,形成稳定O/W乳状液,黏度低、降黏率大于95%。当降黏剂的浓度大于临界乳化浓度时,形成O/W乳状液,而后随着表面活性剂向油相的迁移,油滴聚并、分层。当降黏剂的浓度与临界乳化浓度相当时,乳状液油O/W转化为W/O,黏度大幅度提高。当降黏剂的浓度小于临界乳化浓度时,只能形成W/O乳状液。

抗220℃高温两性离子聚合物降黏剂的制备与性能

针对当前高温高密度水基钻井液流变性调控难题,基于分子结构优化设计和单体优选,制备了新型抗高温两性离子聚合物降黏剂HP-THIN。通过正交实验与单因素实验相结合的方法,对HP-THIN的制备条件进行了优化。采用红外光谱仪、乌氏黏度计和热重分析仪等分别对HP-THIN的分子结构、热稳定性以及相对分子质量进行表征和测定,研究了HP-THIN在220℃超高温条件下对淡水浆、盐水浆、含钙浆和高密度复合盐水浆等不同类型钻井液基浆的降黏性能。在室温下,测试了HP-THIN对基浆黏土颗粒吸附能力、Zeta电位和粒径的影响,并与国内外同类产品(Polythin和xy-27)进行了对比。结果表明,合成降黏剂HP-THIN的反应温度为60℃,反应时间为3 h,引发剂用量和链转移剂用量均为反应单体总量的1%,单体总质量分数为30%;单体AM、AA、AMPS、PTM物质的量比为1.9∶7.5∶2.1∶1。该聚合物的分子结构中含有设计官能团,其黏均相对分子质量约为8211,且具有较好的热稳定性。220℃老化后,HP-THIN在最优加量(0.3%)下对淡水基浆、盐水基浆、含钙基浆和高密度复合盐水基浆的降黏率分别达86%、72%、73%和51%,HP-THIN对不同类型钻井液基浆的高温降黏效果均优于国内外同类产品,相对于xy-27和Polythin,降黏剂HP-THIN对基浆黏土吸附能力强、Zeta电位绝对值大、黏土颗粒尺寸小,可以更好地消除黏土颗粒间网状结构,降低钻井液黏度,具有良好的应用前景。

稠油化学复合冷采技术研究与应用

我国稠油储量可观,其中60%的是深层稠油,而主流的蒸汽吞吐等热采技术采收率不足20%;稠油资源开发潜力极大,积极探索新的开采方式以提高采收率是石油领域高质量发展的必然选择。本文着重阐述稠油化学复合冷采技术体系构建及其现场应用,为中深层稠油的新型绿色低成本接替技术发展提供有效方案。在分析稠油组分的基础上,细致剖析稠油结构致黏机理,包括化学降黏机理、降低启动压力梯度机理、提高驱油效果机理在内的提高采收率机理,以丰富理论认识。面向工程应用亟需,从水溶性降黏剂分子设计与合成、自组装调堵剂研发两方面出发,突破稠油绿色化学驱油体系。基于发展的稠油化学复合冷采技术,完成了3个稠油油田示范工程应用,在提高产油量、控制含水率方面取得了良好成效。进一步梳理了分子采油理论与技术、渗流理论与数值模拟技术等方面的后续发展要点,以为深层稠油的绿色高效开发接替技术研究、稠油化学复合冷采技术推广应用研究等提供启发和参考。

纳米N-A降黏剂的制备及性能评价

针对普通纳米降黏剂对特稠油降黏效果差、洗油效率低等问题,制备了纳米N-A降黏剂,采用FTIR,TEM等方法表征了降黏剂的微观结构,考察了降黏剂的降黏效果、界面张力以及洗油效率。实验结果表明,纳米N-A降黏剂组成为:50%(w)纳米二氧化硅溶胶+40%(w)分散剂EB-1+4.2%(w)表面修饰剂+5.8%(w)增效剂。该降黏剂分散性能良好,粒径分布在20~60 nm之间,在降黏剂含量为1%(w)、油水质量比为7∶3、200℃,矿化度为0,8829.26 mg/L条件下老化48 h,特稠油降黏后黏度分别为6280,7213 mPa·s,降黏率分别达到83.77%,81.36%,降黏性能保持率分别为96.80%,95.39%。50℃下静置90 d后降黏性能保持率大于90%,可降低油水界面张力至0.076 mN/m,乳化液滴最大粒径9.5μm,洗油效率为30.9%,相对普通降黏剂,驱油效率提高22.3百分点。

不同浓度对三赞胶溶液流变学特性的影响研究

制备质量浓度为0.1%~1.0%的三赞胶溶液,研究不同浓度对三赞胶溶液流变学特性的影响。通过稳态流动扫描、剪切应力扫描、温度扫描研究剪切速率、剪切应力及温度对黏度的影响,应变扫描、频率扫描、温度扫描研究应变、扫描频率及温度对弹性模量及粘性模量的影响,同时进一步考察了与结构特性相关的各因素如模量相交点、松驰时间、屈服应力等。结果表明:三赞胶溶液的流变学特性明显具有浓度依赖性,旋转测试与振荡测试所表现出来的流变学特性分别与浓度之间存在较高的相关性。溶液浓度改变时影响溶液流动时的应变及模量、溶液由粘性为主变为弹性为主时的频率与模量及松驰时间、由凝胶转换为溶胶时的温度与模量。

高性能有机硅灌封胶的制备与性能研究

以端乙烯基硅油(1000 mPa·s)和侧乙烯基硅油(500 mPa·s)复配为基体树脂,含氢硅油为固化剂,乙烯基硅烷偶联剂为增黏剂,乙烯基MQ树脂和气相白炭黑为补强材料,氢氧化镁和硅系阻燃剂(FCA-107)为阻燃填料,成功制备了一款具有无卤阻燃特性及优异力学性能和电气绝缘性能的有机硅灌封胶,并研究了硅油复配比例、各填料添加量对有机硅灌封胶性能的影响。结果表明:当端乙烯基硅油与侧乙烯基硅油的复配比例为5∶5,乙烯基硅烷偶联剂质量分数为3%,气相白炭黑质量分数为4%,乙烯基MQ树脂质量分数为30%,复配阻燃剂质量分数为20%时,有机硅灌封胶的综合性能达到最佳,其混合黏度为1842 mPa·s,拉伸强度为2.83 MPa,断裂伸长率为51.3%,拉伸剪切强度为2.12MPa,阻燃性能(UL 94)达到V-0级,电气强度达到24.3 kV/mm,体积电阻率为3.8×10^(15)Ω·cm,制备的有机硅灌封胶可以满足电子元器件的发展要求。

尕斯高盐油藏污水配聚阳离子对聚合物溶液黏度影响的主控因素

根据青海油田尕斯区块回注污水矿化度较高的特点,以山东宝莫生产的聚合物为研究目标,系统探讨了从聚合物驱采出水中的Na^(+)、K^(+)、Ca^(2+)、Mg^(^(2+))、Fe^(2+)、Fe^(3+)等6种离子对聚合物溶液的黏度和稳定性影响的变化规律,并提供了回注污水配聚主要研究方法。结果表明:导致聚合物黏度降低的主要控制因素是高价阳离子,其影响顺序从大到小的次序是Fe^(2+)、Fe^(3+)、Mg^(^(2+))、Ca^(2+)、Na+、K+;而高价阳离子对聚合物溶液黏度稳定性影响顺序从大到小的次序则是:Fe^(2+)、Ca^(2+)(Mg^(^(2+)))、Fe^(3+)、Na^(+)(K^(+))。研究结果展示了回注污水配聚中阳离子对聚合物溶液黏度的响应机理,为聚合物驱技术提供了理论指导。