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An integrated MINLP model for multi-party coordination in downstream oil supply chain
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作者 Rui Qiu Bo Zhang +4 位作者 Wei Zhao Ren-Fu Tu Man-Qiu He Qi Liao Yong-Tu Liang 《Petroleum Science》 SCIE EI CAS CSCD 2024年第3期2066-2079,共14页
Cooperation among enterprises can bring overall and individual performance improvement,and a smooth coordination method is indispensable.However,due to the lack of customized coordination methods,cooperation in the do... Cooperation among enterprises can bring overall and individual performance improvement,and a smooth coordination method is indispensable.However,due to the lack of customized coordination methods,cooperation in the downstream oil supply chain cannot be carried out smoothly.This paper intends to propose a multi-party coordination method to promote cooperation between oil shippers and pipeline operator by optimizing oil transportation,oil substitution and pipeline pricing schemes.An integrated game-theoretic modeling and analysis approach is developed to characterize the operation behaviors of all stakeholders in the downstream oil supply chain.The proposed mixed integer nonlinear programming model constrains supply and demand capacity,transportation routes,oil substitution rules and pipeline freight levels.Logarithm transformation and price discretization are introduced for model linear approximation.Simulation experiments are carried out in the oil distribution system in South China.The results show that compared to the business-as-usual scheme,the new scheme saves transportation cost by 3.48%,increases pipeline turnover by 5.7%,and reduces energy consumption and emissions by 7.66%and 6.77%.It is proved that the proposed method improves the revenue of the whole system,achieves fair revenue distribution,and also improves the energy and environmental benefits of the oil supply chain. 展开更多
关键词 Downstreamoil supplychain Multi-partycoordination Cooperative game Mixed integernonlinear programming MODEL Pipeline transportation Revenue distribution
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A Review of Artificial Waterfalls in Gardens
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作者 Ni Lan Tiantian Chen +1 位作者 Qiushuang Fan Shiyu Mi 《Journal of World Architecture》 2024年第1期31-34,共4页
When artificial waterfalls are built in gardens,leaves from trees or vegetation often fall into the water storage pool and block the pipelines,requiring regular cleaning of pipelines.This not only increases the manpow... When artificial waterfalls are built in gardens,leaves from trees or vegetation often fall into the water storage pool and block the pipelines,requiring regular cleaning of pipelines.This not only increases the manpower needed for maintenance but also disrupts the use of the waterfalls.Therefore,it is necessary to design a new type of artificial waterfall that is suitable for gardens.The waterfall should incorporate features that make cleaning easier,including filter plates and water funnels to prevent clogging caused by fallen leaves and debris. 展开更多
关键词 INTELLIGENCE Efficiency improvement transportation pipeline Technical artificial waterfall
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Emulsification of Indian heavy crude oil using a novel surfactant for pipeline transportation 被引量:5
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作者 Shailesh Kumar Vikas Mahto 《Petroleum Science》 SCIE CAS CSCD 2017年第2期372-382,共11页
The most economical way to overcome flow assurance problems associated with transportation of heavy crude oil through offshore pipelines is by emulsifying it with water in the presence of a suitable surfactant.In this... The most economical way to overcome flow assurance problems associated with transportation of heavy crude oil through offshore pipelines is by emulsifying it with water in the presence of a suitable surfactant.In this research,a novel surfactant,tri-triethanolamine monosunflower ester,was synthesized in the laboratory by extracting fatty acids present in sunflower(Helianthus annuus)oil.Synthesized surfactant was used to prepare oil-in-water emulsions of a heavy crude oil from the western oil field of India.After emulsification,a dramatic decrease in pour point as well as viscosity was observed.All the prepared emulsions were found to be flowing even at 1°C.The emulsion developed with 60%oil content and 2wt%surfactant showed a decrease in viscosity of 96%.The stability of the emulsion was investigated at different temperatures,and it was found to be highly stable.The effectiveness of surfactant in emulsifying the heavy oil in water was investigated by measuring the equilibrium interfacial tension(IFT)between the crude oil(diluted)and the aqueous phase along with zeta potential of emulsions.2wt%surfactant decreased IFT by almost nine times that of no surfactant.These results suggested that the synthesized surfactant may be used to prepare a stable oil-in-water emulsion for its transportation through offshore pipelines efficiently. 展开更多
关键词 Heavy crude oil Oil-in-water emulsion Pipeline transportation Sunflower oil RHEOLOGY STABILITY
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Study on characteristics of pipeline transportation and sulfur fixing of cleaned coal logs 被引量:1
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作者 林愉 林群 +1 位作者 唐军 刘同成 《Journal of Coal Science & Engineering(China)》 2006年第1期91-95,共5页
As special cylindrical briquettes of coal for long distance pipeline transportation and directly cleaned combustion the cleaned coal logs should possess two characteristics of transportation in pipeline and cleaned co... As special cylindrical briquettes of coal for long distance pipeline transportation and directly cleaned combustion the cleaned coal logs should possess two characteristics of transportation in pipeline and cleaned combustion. In order to make cleaned coal logs a rational technology for manufacturing, cleaned coal logs was designed and compound sulfur fixing binders with high effects of binding and sulfur-fixing was selected and combined. In addition, by means of characteristic experiments of strength, wear, waterproof and sulfur-fixing five different cleaned coal logs made with different compound sulfur fixing binders in different compaction conditions was tested and measured. Experimental results indicated that the manufacturing technology of cleaned coal logs was reasonable and the combination of compound sulfur fixing binders was scientific. Cleaned coal logs made up with the fourth group of coal mixture had high strength, good waterproof property, efficient sulfur-fixing, good characteristic of transportation, and achieved the performance requirement for pipeline transportation and sulfur fixing. 展开更多
关键词 cleaned coal log pipeline transportation sulfur fixing
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2013 Production of China's Shale Gas Reaches 200 Million Cubic Meters and the First Transportation Pipeline Constructed
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作者 HAO Ziguo FEI Hongcai +1 位作者 LIU Lian Susan TURNER 《Acta Geologica Sinica(English Edition)》 SCIE CAS CSCD 2013年第5期1472-1472,共1页
Results of the global shale gas resources show that minable resources of global shale gas are 187 trillion cubic meters (tern), of which China accounts for 36 tcm (about 20% of the total amount), which is mainly d... Results of the global shale gas resources show that minable resources of global shale gas are 187 trillion cubic meters (tern), of which China accounts for 36 tcm (about 20% of the total amount), which is mainly distributed in the Sichuan Basin, Yangtze Terrace, and Ordos Basin. From 2009 to 2012, China completed an accumulative number of 129 drilling wells related to shale gas, including 46 investigated vertical wells, 55 exploration wells and 28 evaluation wells, with 2012 production ranging from 25 million cubic meters (mcm) to 30 mcm. 展开更多
关键词 Production of China’s Shale Gas Reaches 200 Million Cubic Meters and the First transportation Pipeline Constructed
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Main Indexes of Pipeline Transportation of Crude Oil and Gas
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《China Oil & Gas》 CAS 1996年第2期127-127,共1页
MainIndexesofPipelineTransportationofCrudeOilandGas¥//Note:Thetotallengthofcrudeandgaspipelinereached17587km... MainIndexesofPipelineTransportationofCrudeOilandGas¥//Note:Thetotallengthofcrudeandgaspipelinereached17587km,including9272kmo... 展开更多
关键词 Main Indexes of Pipeline transportation of Crude Oil and Gas
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Wall slip behavior of cemented paste backfill slurry during pipeline based on noncontact experimental detection 被引量:3
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作者 Zhenlin Xue Haikuan Sun +2 位作者 Deqing Gan Zepeng Yan Zhiyi Liu 《International Journal of Minerals,Metallurgy and Materials》 SCIE EI CAS CSCD 2023年第8期1515-1523,共9页
Wall slip is a microscopic phenomenon of cemented paste backfill(CPB)slurry near the pipe wall,which has an important influence on the form of slurry pipe transport flow and velocity distribution.Directly probing the ... Wall slip is a microscopic phenomenon of cemented paste backfill(CPB)slurry near the pipe wall,which has an important influence on the form of slurry pipe transport flow and velocity distribution.Directly probing the wall slip characteristics using conventional experimental methods is difficult.Therefore,this paper established a noncontact experimental platform for monitoring the microscopic slip layer of CPB pipeline transport independently based on particle image velocimetry(PIV)and analyzed the effects of slurry temperature,pipe diameter,solid concentration,and slurry flow on the wall slip velocity of the CPB slurry,which refined the theory of the effect of wall slip characteristics on pipeline transport.The results showed that the CPB slurry had an extensive slip layer at the pipe wall with significant wall slip.High slurry temperature improved the degree of particle Brownian motion within the slurry and enhanced the wall slip effect.Increasing the pipe diameter was not conducive to the formation of the slurry slip layer and led to a transition in the CPB slurry flow pattern.The increase in the solid concentration raised the interlayer shear effect of CPB slurry flow and the slip velocity.The slip velocity value increased from 0.025 to 0.056 m·s^(-1)when the solid content improved from 55wt%to 65wt%.When slurry flow increased,the CPB slurry flocculation structure changed,which affected the slip velocity,and the best effect of slip layer resistance reduction was achieved when the transported flow rate was 1.01 m^(3)·h^(-1).The results had important theoretical significance for improving the stability and economy of the CPB slurry in the pipeline. 展开更多
关键词 particle image velocimetry cemented paste backfill noncontact experimental platform wall slip behavior pipeline transportation
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Economic and scale prediction of CO_(2)capture,utilization and storage technologies in China 被引量:1
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作者 ZHAO Xiaoling XIAO Jinyu +4 位作者 HOU Jinming WU Jiawei LYU Xunyan ZHANG Jinxuan LIU Yao 《Petroleum Exploration and Development》 SCIE 2023年第3期751-764,共14页
In response to the lack of global quantitative research on the potential and scale prediction of CO_(2) capture,utilization and storage(CCUS)in China under the background of carbon peak and carbon neutrality goals,thi... In response to the lack of global quantitative research on the potential and scale prediction of CO_(2) capture,utilization and storage(CCUS)in China under the background of carbon peak and carbon neutrality goals,this study predicts the future economic costs of different links of ccUS technologies and the carbon capture needs of different industries in the scenario of fossil energy continuation.Based on the CO_(2) utilization and storage potential and spatial distribution in China,a cost-scale calculation model for different regions in China in 206o is constructed to predict the whole-process economic cost and its corresponding scale potential of CCUs.The results show that a local+remote storage mode is preferred,together with a local utilization mode,to meet China's 27×10^(8)t/a CO_(2) emission reduction demand under the scenario of fossil energy continuation.Specifically,about 5×10^(8) t CO_(2) emission is reduced by capture utilization,and the whole-process cost is about-1400-200 RMB/t;about 22×10^(8) t CO_(2) emission is reduced by capture storage,and the whole-process cost is about 200-450 RMB/t.According to the model results,it is recommended to develop the chemical utilization industry based on P2X(Power to X,where X is raw material)technology,construct the CcUs industrial cluster,and explore a multi-party win-win cooperation mode.A scheme of national trunk pipeline network connecting areas connecting intensive emission reduction demand areas and target storage areas is suggested.The emission reduction cost of thermal power based on CCUS is calculated to be 0.16 RMB/(kW.h). 展开更多
关键词 CcUS whole-process modeling cost-scale calculation model transport pipeline thermal power emission reductioncost
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Advances in rheology and flow assurance studies of waxy crude 被引量:11
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作者 Zhang Jinjun Yu Bo +1 位作者 Li Hongying Huang Qiyu 《Petroleum Science》 SCIE CAS CSCD 2013年第4期538-547,共10页
Flow assurance is one of the core issues in safe and economical operation of waxy crude pipelines.Its essence lies in flow and heat transfer of the crude.In the past 10 years,the authors' team has achieved a lot of i... Flow assurance is one of the core issues in safe and economical operation of waxy crude pipelines.Its essence lies in flow and heat transfer of the crude.In the past 10 years,the authors' team has achieved a lot of innovative results in aspects of waxy crude rheology,flow assurance assessment,and pipelining technologies on the basis of decades of studies.The rheological characteristics of waxy crude are much better understood,and a method for quantitatively simulating the effect of flow shear was developed based on some theoretical breakthroughs.Studies of the mechanism of waxy crude rheology have been deepened to the quantitative level.After successful development of efficient numericalalgorithms,accurate simulations have been achieved for various complex flow and heat transfer situations in waxy crude pipelining,and a reliability-based approach to flow assurance assessment has been set up.New pipelining technologies have been developed such as batching pour-point depressant-(PPD-) treated multiple-waxy-crudes,intermittent transport of waxy crudes through long-distance pipelines,and batching hot and cold crudes.By their application,a series of problems hindering safe,efficient and flexible operation of waxy crude pipelines were tackled,demonstrating that transportation technologies for waxy crude have advanced to a new and high level. 展开更多
关键词 Waxy crude pipeline transportation flow assurance RHEOLOGY numerical simulation
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Rheological behavior of paste in metal mines 被引量:10
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作者 Aixiang Wu Zhuen Ruan Jiandong Wang 《International Journal of Minerals,Metallurgy and Materials》 SCIE EI CAS CSCD 2022年第4期717-726,共10页
Cemented paste backfill(CPB)has been one of the best practical approaches for tailings management and underground goaf treatment.Paste rheology is a science to study the flow and deformation behaviors of paste or fill... Cemented paste backfill(CPB)has been one of the best practical approaches for tailings management and underground goaf treatment.Paste rheology is a science to study the flow and deformation behaviors of paste or filling body under the effects of stress,strain,temperature,and time during the CPB process.The goal of studying paste rheology is to solve the engineering problems existing in four key processes;that is,paste rheology should meet the engineering demands of thickening,mixing,transportation,and backfilling.However,paste rheology is extremely complicated due to its high concentration,materials complexity,and engineering characteristics of non-stratification,nonsegregation,and non-bleeding.The rheological behavior of full tailings in deep thickening,rheological behavior of paste in mixing and pipeline transportation,and rheological behavior of filling body are introduced and discussed:(1)gel point,compressive yield stress,and the hindered settling function are adopted to characterize the rheological properties of full tailings in deep thickening.Combination of Coe-Clevenger theory and Buscall-White theory can also analyze the thickening performance in the whole area of deep cone thickener;(2)yield stress and viscosity are consistent with the evolution trend of the relative structure coefficient of paste in mixing;(3)coupling effect of wall slip and time-temperature dependency has a significant influence on the rheological properties and pipeline transportation;(4)damage variable is introduced to the Burgers model to describe the creep damage of the filling body.However,in-depth and systematic studies were still needed to establish a complete theoretical system of paste rheology in metal mines. 展开更多
关键词 paste rheology cemented paste backfill THICKENING MIXING pipeline transportation
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New application notion of pipeline transport——integrated in industry solid waste innocuous and efficient disposition 被引量:5
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作者 陈洁 赵学义 +4 位作者 王星 潘越 张娜 吴钰晶 吴淼 《Journal of Coal Science & Engineering(China)》 2006年第2期75-79,共5页
In order to solve transport problems of industry solid,firstly,a new applicationnotion of pipeline transport was presented,that is to say,combining pretreatment andtransport with disposal techniques of industry solid ... In order to solve transport problems of industry solid,firstly,a new applicationnotion of pipeline transport was presented,that is to say,combining pretreatment andtransport with disposal techniques of industry solid waste.Secondly,the integrated dis-posal and transport system for industry solid waste was introduced,in particular,the oper-ating principles,equipment set-up,key technology and technical parameters.Next,thispaper illustrated the application of this integrated system.Such as it can transport coalsludge with sufficiently high solids content(about 72%~77%)and high apparent viscosity(about 1 000~3 000 Pa.s)directly by pipeline having no use for water and addition agent.Generally,the transport distance is about 1 000 m.This system has been successfullyused in innocuous disposition and efficient utilization of other industrial byproducts or solidwastes,such as city sludge and paper making waste.The integrated system causes nopollution to the environment for its complete seal and realizes protecting the environment,conserving the energy,promoting the development of cycling economic.Finally,the paperdiscussed the research works that were needed for studying such pipeline transport sys-tem and narrates the relevant condition and application status. 展开更多
关键词 pipeline transport industry solid waste circulating fluidized bed boiler in- nocuous disposition rheologic behaviors pipeline transport properties
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Scour depth beneath a pipeline undergoing forced vibration 被引量:1
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作者 Y.Luan D.Liang R.Rana 《Theoretical & Applied Mechanics Letters》 CAS CSCD 2015年第2期97-100,共4页
This paper studies the coupling effect of the pipeline vibration on the seabed scour. A vertical two- dimensional model is applied to numerically investigate the local scour below a vibrating pipeline with different a... This paper studies the coupling effect of the pipeline vibration on the seabed scour. A vertical two- dimensional model is applied to numerically investigate the local scour below a vibrating pipeline with different amplitudes and periods. Using the scour underneath a fixed pipeline as a reference, this paper focuses on the impact of the pipeline vibration on the equilibrium scour depth. Generic relationships are established between the non-dimensional scour depth and the non-dimensional vibrating parameters, i.e., amplitude and frequency. The normalization process takes into account the influences of such parameters as the incoming flow velocity, pipe diameter, and Shields parameter. An empirical formula is proposed to quantify these relationships. 展开更多
关键词 Offshore pipelines Scour Numerical models Vibration Sediment transport
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A parametric study of the hydrodynamic roughness produced by a wall coating layer of heavy oil
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作者 S. Rushd R. S. Sanders 《Petroleum Science》 SCIE CAS CSCD 2017年第1期155-166,共12页
In water-lubricated pipeline transportation of heavy oil and bitumen, a thin oil film typically coats the pipe wall. A detailed study of the hydrodynamic effects of this fouling layer is critical to the design and ope... In water-lubricated pipeline transportation of heavy oil and bitumen, a thin oil film typically coats the pipe wall. A detailed study of the hydrodynamic effects of this fouling layer is critical to the design and operation of oil-water pipelines, as it can increase the pipeline pressure loss (and pumping power requirements) by 15 times or more. In this study, a parametric investigation of the hydrodynamic effects caused by the wall coating of viscous oil was conducted. A custom-built rectangular flow cell was used. A validated CFD-based procedure was used to determine the hydrodynamic roughness from the measured pressure losses. A similar procedure was followed for a set of pipe loop tests. The effects of the thickness of the oil coating layer, the oil viscosity, and water flow rate on the hydrodynamic roughness were evaluated. Oil viscosities from 3 to 21300 Pa s were tested. The results show that the equivalent hydrodynamic roughness produced by a wall coating layer of viscous oil is dependent on the coating thickness but essentially independent of oil viscosity. A new correlation was developed using these data to predict the hydrodynamic roughness for flow conditions in which a viscous oil coating is produced on the pipe wall. 展开更多
关键词 Pipeline transportation - Heavy oil Wallfouling Lubricated pipe flow CFD simulation
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Evaluation of Stress Corrosion Cracking Damage to an API 5L X52 Pipeline Transporting Ammonia: A Case Study 被引量:1
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作者 José Luis Mora-Mendoza Mónica Jazmín Hernández-Gayosso +3 位作者 Daniel Antonio Morales-Serrat Octaviano Roque-Oms Digna Alejandra Del Angel Gerardo Zavala-Olivares 《Materials Sciences and Applications》 2016年第10期610-622,共13页
The high number of leak events that took place in recent years at a 25.4 cm (10”)&Oslash;pipeline transporting anhydrous liquid ammonia, located in the Southeast of Mexico, was the main reason to carry out a numb... The high number of leak events that took place in recent years at a 25.4 cm (10”)&Oslash;pipeline transporting anhydrous liquid ammonia, located in the Southeast of Mexico, was the main reason to carry out a number of field studies and laboratory tests that helped establish not only the failure causes but also mitigation and control solutions. The performed activities included direct evaluation at failure sites, total repair programs, metallographic studies and pipeline flexibility analyses. The obtained results were useful to conclude that the failures obeyed a cracking mechanism by Stress Corrosion Cracking (SCC) which was caused by the combined effect of different factors: high stress resistance, high hardness of the base metal with a microstructure prone to brittleness and residual strains originated during the pipeline construction. From the operative, logistic and financial standpoints, it is not feasible to release the stress of approximately 22 km of pipeline. Therefore, the only viable solution is to install a new pipeline with suitable fabrication, construction and installation specifications aimed at preventing the SCC phenomenon. 展开更多
关键词 Stress Corrosion Cracking Residual Stress Ammonia Transporting Pipeline
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Experimental studies on resistance characteristics of high concentration red mud in pipeline transport
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作者 王星 瞿圆媛 +3 位作者 胡伟伟 陈洁 赵学义 吴淼 《Journal of Coal Science & Engineering(China)》 2008年第1期157-161,共5页
Red mud will flow in paste form under high pressure during pipeline transport.It belongs to a two-phase flow of materials with high viscosity and a high concentration of non-sedimentation,homogeneous solid-liquids.In ... Red mud will flow in paste form under high pressure during pipeline transport.It belongs to a two-phase flow of materials with high viscosity and a high concentration of non-sedimentation,homogeneous solid-liquids.In pipeline transport,its resistance char- acteristics will be influenced by such factors as grain size,velocity,concentration,density, grain composition and pipe diameter etc..With the independently developed small-sized tube-type pressure resistance test facility,studied the resistance characteristics of red mud concerning the three influencing factors,paste concentration,velocity and pipe diameter, which attract the most attention in projects.The fine grain size of the red mud is d_(50)= 13.02μm.According to the experimental results,the pressure loss in transport will in- crease along with the increase of velocity and will fall along with the increase of pipe di- ameter.A 1% difference in paste concentration will result in a 50%~100% difference in pipeline resistance loss.These experimental data is hoped to be direct guidance to the design of high concentration and viscous material pipeline transport system. 展开更多
关键词 high concentration homogeneous laminar flow pipeline transport resistancecharacteristics particle characteristics
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A Survey of CNPC Pipeline Transport
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《China Oil & Gas》 CAS 1999年第1期56-56,共1页
关键词 CNPC A Survey of CNPC Pipeline Transport
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A Survey of Sinopec Pipeline Transport
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《China Oil & Gas》 CAS 1999年第1期52-52,共1页
关键词 A Survey of Sinopec Pipeline Transport
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A Survey of Sinopec Pipeline Transport
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《China Oil & Gas》 2000年第1期39-39,共1页
关键词 A Survey of Sinopec Pipeline Transport
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Behavior of transporting pipeline sections without and with hydrogen exposure based on full-scale tests
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作者 Nóra Nagy János Lukács 《China Welding》 CAS 2024年第3期14-24,共11页
Pipeline transport of hydrogen is one of today’s economic and environmental challenges.In order to find safe and reliable applic-ation of both existing gas and build new pipelines,it is essential to carry out tests o... Pipeline transport of hydrogen is one of today’s economic and environmental challenges.In order to find safe and reliable applic-ation of both existing gas and build new pipelines,it is essential to carry out tests on full-scale pipeline section,including the potentially more dangerous places than the main pipe,the girth welds.For the investigations,pipeline sections of P355NH steel with girth welds were prepared and exposed to pure hydrogen at twice the maximum allowable operating pressure for 41 days.Subsequently,full-scale burst tests were carried out and specimens were cut and prepared from the typical locations of the failed pipeline sections for mechanical,and macro-and microstructural investigations.The results obtained were evaluated and compared with data from previous full-scale tests on pipeline sections without hydrogen exposure.The results showed differences in the behavior of pipeline sections loaded in different ways,with differ-ent characteristics of the materials and the welded joints,both in the cases without hydrogen exposure and in the cases exposed to hydrogen. 展开更多
关键词 gas transporting pipeline full-scale pipeline test complex loading condition hydrogen exposure safety factor
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Feasibility analysis of super-speed rail based on improved value function 被引量:3
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作者 Qizhou Hu Yikai Wu 《Transportation Safety and Environment》 EI 2022年第2期1-9,共9页
Super-speed rail (SSR) is a kind of train design based on the theory of vacuum pipeline transportation, having the advantages of superspeed, high safety, low energy consumption, low noise, no vibration and no pollutio... Super-speed rail (SSR) is a kind of train design based on the theory of vacuum pipeline transportation, having the advantages of superspeed, high safety, low energy consumption, low noise, no vibration and no pollution. SSR may be a new generation of trains after cars,ships, trains and aeroplanes. The SSR system includes two parts, namely vacuum pipe technology and magnetic levitation technology.Based on the definition of SSR, the present paper analyses the operation principle of SSR. According to distribution characteristicsof SSR, the evaluation index system of SSR was set up. In analysing the main characteristics of SSR, this paper builds the evaluationmodel by improved value function. The application results validate the feasibility of the new method in comprehensive evaluationfor SSR. It is consistent with the results of other methods. The result reveals that SSR is completely feasible from a theoretical pointof view and it is impossible to build SSR in a short time from the application perspective. The evaluation results can reflect the actualsituation. The comprehensive evaluation model is scientific and the process is simple。 展开更多
关键词 Super-speed rail(SSR) vacuum pipeline transportation magnetic levitation improved value function
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