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Diesel molecular composition and blending modeling based on SUBEM framework 被引量:3
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作者 Yue-Ming Guan Dong Guan +3 位作者 Cheng Zhang Sheng-Hua Yuan Guang-Qing Cai Lin-Zhou Zhang 《Petroleum Science》 SCIE CAS CSCD 2022年第2期839-847,共9页
Diesel molecular compositional model has important application for diesel quality prediction,blending,and molecular-level process model development.In this paper,different types of diesel molecular compositional and b... Diesel molecular compositional model has important application for diesel quality prediction,blending,and molecular-level process model development.In this paper,different types of diesel molecular compositional and blending models were constructed based on the SU-BEM framework.More than 1500 representative molecules were selected to form the molecular structure library.The probability density functions(PDFs)combination was determined by experimental data and experience.A quadratic optimization strategy combining genetic algorithm with local optimization algorithm was adopted to improve the accuracy of the compositional model.The model results show good agreement with the experimental data.The diesel blending model was constructed at the molecular-level based on the above diesel compositional models.The properties of the blending model accord with the experimental regulations.It is proved that the compositional models and blending model constructed have high accuracy and strong prediction capability,and are applicable to the industrial process. 展开更多
关键词 Molecular compositional model Molecular blending model SU-BEM Framework DIESEL
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Composition of Model Interface--A Theorem of Model Composition
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作者 张亚东 刘宏超 《Chinese Quarterly Journal of Mathematics》 CSCD 2001年第3期61-68,共8页
Building a model for a object through model composition is a interesting topics, this paper research the interface composit ion of models in the Zeigler’s modeling methodology DEVS.
关键词 model composition model interface frame base order structure
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Temperature error compensation method for fiber optic gyroscope based on a composite model of k-means,support vector regression and particle swarm optimization
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作者 CAO Yin LI Lijing LIANG Sheng 《Journal of Systems Engineering and Electronics》 2025年第2期510-522,共13页
As the core component of inertial navigation systems, fiber optic gyroscope (FOG), with technical advantages such as low power consumption, long lifespan, fast startup speed, and flexible structural design, are widely... As the core component of inertial navigation systems, fiber optic gyroscope (FOG), with technical advantages such as low power consumption, long lifespan, fast startup speed, and flexible structural design, are widely used in aerospace, unmanned driving, and other fields. However, due to the temper-ature sensitivity of optical devices, the influence of environmen-tal temperature causes errors in FOG, thereby greatly limiting their output accuracy. This work researches on machine-learn-ing based temperature error compensation techniques for FOG. Specifically, it focuses on compensating for the bias errors gen-erated in the fiber ring due to the Shupe effect. This work pro-poses a composite model based on k-means clustering, sup-port vector regression, and particle swarm optimization algo-rithms. And it significantly reduced redundancy within the sam-ples by adopting the interval sequence sample. Moreover, met-rics such as root mean square error (RMSE), mean absolute error (MAE), bias stability, and Allan variance, are selected to evaluate the model’s performance and compensation effective-ness. This work effectively enhances the consistency between data and models across different temperature ranges and tem-perature gradients, improving the bias stability of the FOG from 0.022 °/h to 0.006 °/h. Compared to the existing methods utiliz-ing a single machine learning model, the proposed method increases the bias stability of the compensated FOG from 57.11% to 71.98%, and enhances the suppression of rate ramp noise coefficient from 2.29% to 14.83%. This work improves the accuracy of FOG after compensation, providing theoretical guid-ance and technical references for sensors error compensation work in other fields. 展开更多
关键词 fiber optic gyroscope(FOG) temperature error com-pensation composite model machine learning CLUSTERING regression.
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Modeling of material deformation behavior in micro-forming under consideration of individual grain heterogeneity 被引量:3
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作者 Zhen-wu MA Xuan PENG +1 位作者 Chun-ju WANG Zi-yang CAO 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2020年第11期2994-3005,共12页
This study aims to develop a model to characterize the inhomogeneous material deformation behavior in micro-forming.First,the influence of individual grain heterogeneity on the deformation behavior of CuZn20 foils was... This study aims to develop a model to characterize the inhomogeneous material deformation behavior in micro-forming.First,the influence of individual grain heterogeneity on the deformation behavior of CuZn20 foils was investigated via tensile and micro-hardness tests.The results showed that different from thick sheets,the hardening behavior of grains in the deformation area of thin foils is not uniform.The flow stress of thin foils actually only reflects the average hardening behavior of several easy-deformation-grains,which is the reason that thinner foils own smaller flow stress.Then,a composite modeling method under consideration of individual grain heterogeneity was developed,where the effects of grain orientation and shape are quantitatively represented by the method of flow stress classification and Voronoi tessellation,respectively.This model provides an accurate and effective method to analyze the influence of individual grain heterogeneity on the deformation behavior of the micro-sized material. 展开更多
关键词 MICRO-FORMING size effects inhomogeneous material behavior grain heterogeneity composite modeling
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Multi-scale Modeling of the Effective Chloride Ion Diffusion Coefficient in Cement-based Composite Materials 被引量:1
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作者 孙国文 孙伟 《Journal of Wuhan University of Technology(Materials Science)》 SCIE EI CAS 2012年第2期364-373,共10页
N-layered spherical inclusions model was used to calculate the effective diffusion coefficient of chloride ion in cement-based materials by using multi-scale method and then to investigate the relationship between the... N-layered spherical inclusions model was used to calculate the effective diffusion coefficient of chloride ion in cement-based materials by using multi-scale method and then to investigate the relationship between the diffusivity and the microstructure of cement-basted materials where the microstructure included the interfacial transition zone (ITZ) between the aggregates and the bulk cement pastes as well as the microstructure of the bulk cement paste itself. For the convenience of applications, the mortar and concrete were considered as a four-phase spherical model, consisting of cement continuous phase, dispersed aggregates phase, interface transition zone and their homogenized effective medium phase. A general effective medium equation was established to calculate the diffusion coefficient of the hardened cement paste by considering the microstructure. During calculation, the tortuosity (n) and constrictivity factors (Ds/Do) of pore in the hardened pastes are n^3.2, Ds/Do=l.Ox 10-4 respectively from the test data. The calculated results using the n-layered spherical inclusions model are in good agreement with the experimental results; The effective diffusion coefficient of ITZ is 12 times that of the bulk cement for mortar and 17 times for concrete due to the difference between particle size distribution and the volume fraction of aggregates in mortar and concrete. 展开更多
关键词 multiscale chloride diffusion coefficient cement-based composite materials generaleffective medium theory composite spheres model MICROSTRUCTURE
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Modified molecular matrix model for predicting molecular composition of naphtha' 被引量:4
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作者 Kun Wang Shiyu Li 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2017年第12期1856-1862,共7页
To improve the naphtha composition prediction model based on molecular type homologous series matrix (MTHS), this paper puts forward a novel molecular matrix to characterize the naphtha composition and the norreal d... To improve the naphtha composition prediction model based on molecular type homologous series matrix (MTHS), this paper puts forward a novel molecular matrix to characterize the naphtha composition and the norreal distribution hypothesis to better describe the molecular composition distribution within each homologous series of the molecular matrix. Through prediction calculation of eight groups of naphtha samples and eight groups of gasoline samples, it is verified that the normal distribution hypothesis is more applicable than gamma distribution hypothesis for the prediction model. According to the prediction results of the samples, the restrain range of normal distribution parameters during model computing process is summarized. With the bulk properties of naphtha samples and the value range of distribution parameters as input conditions, this study utilizes the improved novel molecular matrix to predict the composition of naphtha samples. As the results show, the novel molecular matrix can predict more detailed composition information of naphtha and improve prediction accuracy with less unknown parameters. 展开更多
关键词 MTHS molecular matrix Distribution assumption Naphtha Molecular composition Prediction model
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Strong motion simulation by the composite source modeling:A case study of 1679 M8.0 Sanhe-Pinggu earthquake 被引量:1
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作者 刘博研 史保平 张健 《Acta Seismologica Sinica(English Edition)》 CSCD 2007年第3期319-331,共13页
In this study, a composite source model has been used to calculate the realistic strong ground motions in Beijing area, caused by 1679 Ms8.0 earthquake in Sanhe-Pinggu. The results could provide us the useful physical... In this study, a composite source model has been used to calculate the realistic strong ground motions in Beijing area, caused by 1679 Ms8.0 earthquake in Sanhe-Pinggu. The results could provide us the useful physical parameters for the future seismic hazard analysis in this area. Considering the regional geological/geophysical background, we simulated the scenario earthquake with an associated ground motions in the area ranging from 39.3°N to 41. 1°N in latitude and from 115.35°E to 117.55°E in longitude. Some of the key factors which could influence the characteristics of strong ground motion have been discussed, and the resultant peak ground acceleration (PGA) distribution and the peak ground velocity (PGV) distribution around Beijing area also have been made as well. A comparison of the simulated result with the results derived from the attenuation relation has been made, and a sufficient discussion about the advantages and disadvantages of composite source model also has been given in this study. The numerical results, such as the PGA, PGV, peak ground displacement (PGD), and the three-component time-histories developed for Beijing area, have a potential application in earthquake engineering field and building code design, especially for the evaluation of critical constructions, government decision making and the seismic hazard assessment by financial/insurance companies. 展开更多
关键词 composite source model synthetic ground motion seismic hazard analysis
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Modeling of the Shape Forming of Composite Roll 被引量:2
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作者 Chengsong CUI, Zhenyu LI, Fuyang CAO and Qingchun LI (School of Materials Science and Engineering, Harbin Institute of Technology, 150001, China) 《Journal of Materials Science & Technology》 SCIE EI CAS CSCD 2000年第3期337-340,共4页
A shape modeling of spray formed composite roll, which is utilized to predict the shape and dimension of roll during spray forming process, is developed in this paper. The influences of the principal spray forming par... A shape modeling of spray formed composite roll, which is utilized to predict the shape and dimension of roll during spray forming process, is developed in this paper. The influences of the principal spray forming parameters, such as the spatial distribution of melt mass flux, spray distance, rotating and translating speeds of substrate bar etc. , on the geometry and dimension of spray formed product were investigated. 展开更多
关键词 modeling of the Shape Forming of Composite Roll
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Experimental and Modeling Studies on the Chemical Vapor Infiltration with Respect to the Effects of Thermal Gradient and Other Operating Parameters 被引量:1
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作者 Kyung Do Joo Do Hoon Kim Gui Yung Chung 《Journal of Wuhan University of Technology(Materials Science)》 SCIE EI CAS 2018年第3期525-532,共8页
Effects of operating parameters in the thermal gradient chemical vapor infiltration of propane such as thermal gradient, diffusion, infiltrations time, and concentration of propane were studied by focusing on the visu... Effects of operating parameters in the thermal gradient chemical vapor infiltration of propane such as thermal gradient, diffusion, infiltrations time, and concentration of propane were studied by focusing on the visualizations of the intrinsic effects of these parameters. A uniform deposition in the preform was obtained with a gradually increasing temperature along the gas flow. The uniformity of deposition through the preform got improved with increasing deposition time. Results of numerical modeling estimated the experimental data very well when the pre-exponential factor of the overall rate of carbon deposition from propane reported by Vaidyaraman[1] was multiplied by 4. The average density of a preform increased by about 3 times from 0.38 to 1.15 g/cm3 after 60 hr deposition with a thermal gradient under the conditions of 3% propane in nitrogen and 840 to 900 ℃. 展开更多
关键词 TG-CVI propane C/C composites uniform deposition mathematical modeling
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A Comparative Study of Structural Composition Methods and Techniques
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作者 Nisrine EL Marzouki Younes Lakhrissi Mohammed EL Mohajir 《Computer Technology and Application》 2016年第3期158-164,共7页
In software engineering as in all other engineering fields, the product to be built is divided into sub-parts that are independently constructed and subsequently assembled. This procedure reduces the complexity and im... In software engineering as in all other engineering fields, the product to be built is divided into sub-parts that are independently constructed and subsequently assembled. This procedure reduces the complexity and improves the reuse of the developed products. MDE (model-driven engineering) is a recent initiative that adopts this approach. In this context, model composition has become an important artifact in the MDE domain that allows constructing and composing an efficient assembly process. This paper will attempt to identify the strength and the drawbacks of the existing composition model paradigms, and determine the various parameters that govern their behavior. 展开更多
关键词 Model composition MDE MERGING MAPPING complex system.
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Modeling of Heat Transfer and Solidification of Composite Roll
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作者 Chengsong CUI Fuyang CAO Zhenyu LI and Qingchun LI School of Materials Science and Engineering, Harbin institute of Technology, Harbin 150001, China 《Journal of Materials Science & Technology》 SCIE EI CAS CSCD 2001年第1期87-88,共2页
Modeling of heat transfer and solidification of composite roll was established and used to predict the thermal history and solidification process of roll during spray forming. Evolution of temperature field of the pr... Modeling of heat transfer and solidification of composite roll was established and used to predict the thermal history and solidification process of roll during spray forming. Evolution of temperature field of the preform and cooling rate in the growing deposit during spray deposition and post-deposition were numerically simulated. 展开更多
关键词 modeling of Heat Transfer and Solidification of Composite Roll
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Towards 6D Little String Theory of Particles
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作者 Risto Raitio 《Journal of High Energy Physics, Gravitation and Cosmology》 CAS 2024年第2期546-561,共16页
A model for particles based on preons in chiral, vector and tensor/graviton supermultiplets of unbroken global supersymmetry is engineered. The framework of the model is little string theory. Phenomenological predicti... A model for particles based on preons in chiral, vector and tensor/graviton supermultiplets of unbroken global supersymmetry is engineered. The framework of the model is little string theory. Phenomenological predictions are discussed. 展开更多
关键词 Standard Model Composite Models SUPERSYMMETRY Little String Theory T-DUALITY HOLOGRAPHY
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Comparison among the UECM Model, and the Composite Model in Forecasting Malaysian Imports
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作者 Mohamed A. H. Milad Hanan Moh. B. Duzan 《Open Journal of Statistics》 2024年第2期163-178,共16页
For more than a century, forecasting models have been crucial in a variety of fields. Models can offer the most accurate forecasting outcomes if error terms are normally distributed. Finding a good statistical model f... For more than a century, forecasting models have been crucial in a variety of fields. Models can offer the most accurate forecasting outcomes if error terms are normally distributed. Finding a good statistical model for time series predicting imports in Malaysia is the main target of this study. The decision made during this study mostly addresses the unrestricted error correction model (UECM), and composite model (Combined regression—ARIMA). The imports of Malaysia from the first quarter of 1991 to the third quarter of 2022 are employed in this study’s quarterly time series data. The forecasting outcomes of the current study demonstrated that the composite model offered more probabilistic data, which improved forecasting the volume of Malaysia’s imports. The composite model, and the UECM model in this study are linear models based on responses to Malaysia’s imports. Future studies might compare the performance of linear and nonlinear models in forecasting. 展开更多
关键词 Composite Model UECM ARIMA Forecasting MALAYSIA
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Ecosystem carbon storage under different scenarios of land use change in Qihe catchment,China 被引量:20
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作者 ZHU Wenbo ZHANG Jingjing +1 位作者 CUI Yaoping ZHU Lianqi 《Journal of Geographical Sciences》 SCIE CSCD 2020年第9期1507-1522,共16页
Regional land use change is the main cause of the ecosystem carbon storage changes by affecting emission and sink process.However,there has been little research on the influence of land use changes for ecosystem carbo... Regional land use change is the main cause of the ecosystem carbon storage changes by affecting emission and sink process.However,there has been little research on the influence of land use changes for ecosystem carbon storage at both temporal and spatial scales.For this study,the Qihe catchment in the southern part of the Taihang Mountains was taken as an example;its land use change from 2005 to 2015 was analyzed,the Markov-CLUE-S composite model was used to predict land use patterns in 2025 under natural growth,cultivated land protection and ecological conservation scenario,and the land use data were used to evaluate ecosystem carbon storage under different scenarios for the recent 10-year interval and the future based on the carbon storage module of the In VEST model.The results show the following:(1) the ecosystem carbon storage and average carbon density of Qihe catchment were 3.16×107 t and 141.9 t/ha,respectively,and decreased by 0.07×107 t and 2.89 t/ha in the decade evaluated.(2) During 2005–2015,carbon density mainly decreased in low altitude areas.For high altitude area,regions with increased carbon density comprised a similar percentage to regions with decreased carbon density.The significant increase of the construction areas in the middle and lower reaches of Qihe and the degradation of upper reach woodland were core reasons for carbon density decrease.(3) For 2015–2025,under natural growth scenario,carbon storage and carbon density also significantly decrease,mainly due to the decrease of carbon sequestration capacity in low altitude areas;under cultivated land protection scenario,the decrease of carbon storage and carbon density will slow down,mainly due to the increase of carbon sequestration capacity in low altitude areas;under ecological conservation scenario,carbon storage and carbon density significantly increase and reach 3.19×107 t and 143.26 t/ha,respectively,mainly in regions above 1100 m in altitude.Ecological conservation scenario can enhance carbon sequestration capacity but cannot effectively control the reduction of cultivated land areas.Thus,land use planning of research areas should consider both ecological conservation and cultivated land protection scenarios to increase carbon sink and ensure the cultivated land quality and food safety. 展开更多
关键词 land use Markov-CLUE-S composite model InVEST model carbon storage scenario simulation Qihe catchment
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2-D Composite Model for Numerical Simulations of Nonlinear Waves 被引量:7
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作者 齐鹏 王永学 邹志利 《China Ocean Engineering》 SCIE EI 2000年第1期113-120,共8页
A composite model, which is the combination of Boussinesq equations and Volume of Fluid (VOF) method, has been developed for 2-D time-domain computations of nonlinear waves in a large region. The whole computational r... A composite model, which is the combination of Boussinesq equations and Volume of Fluid (VOF) method, has been developed for 2-D time-domain computations of nonlinear waves in a large region. The whole computational region Omega is divided into two subregions. In the near-field around a structure, Omega(2), the flow is governed by 2-D Reynolds Averaged Navier-Stokes equations with a turbulence closure model of k-epsilon equations and numerically solved by the improved VOF method; whereas in the subregion Omega(1) (Omega(1) = Omega - Omega(2)) the flow is governed by one-D Boussinesq equations and numerically solved with the predictor-corrector algorithm. The velocity and the wave surface elevation are matched on the common boundary of the two subregions. Numerical tests have been conducted for the case of wave propagation and interaction with a wave barrier. It is shown that the composite model can help perform efficient computation of nonlinear waves in a large region with the complicated flow fields near structures taken into account. 展开更多
关键词 composite model nonlinear waves Boussinesq equations VOF method numerical simulation
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Mechanisms and applications of layer/spinel phase transition in Li-and Mn-rich cathodes for lithium-ion batteries 被引量:6
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作者 Wei He Qing-Shui Xie +3 位作者 Jie Lin Bai-Hua Qu Lai-Sen Wang Dong-Liang Peng 《Rare Metals》 SCIE EI CAS CSCD 2022年第5期1456-1476,共21页
Li-and Mn-rich(LMR)cathode materials have received tremendous attention due to the highly reversible specific capacity(>250 m Ah·g^(-1)).In the analysis of its crystal structure,the two-phase composite model g... Li-and Mn-rich(LMR)cathode materials have received tremendous attention due to the highly reversible specific capacity(>250 m Ah·g^(-1)).In the analysis of its crystal structure,the two-phase composite model gains increasing acceptance,and the phase transition behaviors in LMR cathode materials have been extensively studied.Herein,the structure controversy of LMR cathode materials,and the mechanisms of phase transition are summarized.Particularly,the causes of initiating or accelerating the phase transition of LMR cathode materials have been summarized into three main driving forces,i.e.,the electrochemical driving force,the component driving force and the thermodynamic driving force.Additionally,the applications of phase transition behavior in improving the electrochemical performance of LMR cathode materials,including the construction of spinel surface coating and spinel/layered hetero-structure are discussed. 展开更多
关键词 Li-and Mn-rich cathode material Two-phase composite model Phase transition Spinel/layered hetero-structure
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Evaluation of toppling rock slopes using a composite cloud model with DEMATEL–CRITIC method 被引量:5
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作者 Huan-ling Wang Xu-fei Zhao +3 位作者 Hong-jie Chen Kui Yi Wei-chau Xie Wei-ya Xu 《Water Science and Engineering》 EI CAS CSCD 2023年第3期280-288,共9页
Safety evaluation of toppling rock slopes developing in reservoir areas is crucial. To reduce the uncertainty of safety evaluation, this study developed a composite cloud model, which improved the combination weights ... Safety evaluation of toppling rock slopes developing in reservoir areas is crucial. To reduce the uncertainty of safety evaluation, this study developed a composite cloud model, which improved the combination weights of the decision-making trial and evaluation laboratory (DEMATEL) and criteria importance through intercriteria correlation (CRITIC) methods. A safety evaluation system was developed according to in situ monitoring data. The backward cloud generator was used to calculate the numerical characteristics of a cloud model of quantitative indices, and different virtual clouds were used to synthesize some clouds into a generalized one. The synthesized numerical characteristics were calculated to comprehensively evaluate the safety of toppling rock slopes. A case study of a toppling rock slope near the Huangdeng Hydropower Station in China was conducted using monitoring data collected since operation of the hydropower project began. The results indicated that the toppling rock slope was moderately safe with a low safety margin. The composite cloud model considers the fuzziness and randomness of safety evaluation and enables interchange between qualitative and quantitative knowledge. This study provides a new theoretical method for evaluating the safety of toppling rock slopes. It can aid in the predication, control, and even prevention of disasters. 展开更多
关键词 Toppling rock slope Safety evaluation Composite cloud model DEMATEL CRITIC Huangdeng Hydropower Project
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Hydrogen solubility prediction for diesel molecules based on a modified Henry equation 被引量:2
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作者 Run Guo Xiang Bai +5 位作者 Yang Lu Lin-Zhou Zhang Xing-Ying Lan Zhen-Tao Chen Quan Shi Suo-Qi Zhao 《Petroleum Science》 SCIE CAS CSCD 2022年第1期363-374,共12页
Diesel hydrotreatment removes heteroatoms and polycyclic aromatics in diesel in the presence of highpressure hydrogen gas.The hydrogen solubility is the basis for hydrogen consumption prediction and process design/opt... Diesel hydrotreatment removes heteroatoms and polycyclic aromatics in diesel in the presence of highpressure hydrogen gas.The hydrogen solubility is the basis for hydrogen consumption prediction and process design/optimization.In the presented study,we established a method to predict the hydrogen solubility of diesel molecules and mixture.A modified Henry equation was proposed to illustrate the hydrogen solubility variation among the temperature and pressure.The parameters of the modified Henry equation for typical molecules were regressed from literature data.Then we established an empirical correlation between the parameter and the structure and property of molecules.The method was then combined with a molecular-level compositional model to accurately predict the hydrogen solubility in diesel,illustrating the validity of the method. 展开更多
关键词 Diesel hydrotreatment Hydrogen solubility Modified henry equation Molecular-level compositional model
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Advances in the Studies on Water Uptake by Plant Roots 被引量:4
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作者 ZHAO Chang-Xing DENG Xi-Ping +3 位作者 ZHANG Sui-Qi YE Qing Ernst STEUDLE SHAN Lun 《Acta Botanica Sinica》 CSCD 2004年第5期505-514,共10页
In the past decade,our understanding of the mechanisms of water uptake by plant roots at the cell,tissue,and whole-plant levels rapidly progressed due to the introduction of new techniques and concepts.Some aspects of... In the past decade,our understanding of the mechanisms of water uptake by plant roots at the cell,tissue,and whole-plant levels rapidly progressed due to the introduction of new techniques and concepts.Some aspects of this work were reviewed,mainly including the composite structure of roots and effects of the distribution of roots in the soil.The nature of water flow in plant roots was discussed.A link was provided between root hydraulics and the expression and function of aquaporins.This was related to the regulation of water transport and to the signaling between roots and shoots.The composite transport model of root was mentioned which represents a physical model of water uptake.This is part of a comprehensive analysis of recent findings of studies on water uptake by plant roots and contributes to our current understanding of the basic mechanisms that govern the water uptake by roots. 展开更多
关键词 AQUAPORINS water uptake root anatomy water channel composite transport model soil-plant-atmosphere continuum
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ASYMPTOTIC RAREFACTION WAVES FOR BALANCE LAWS WITH STIFF SOURCES 被引量:1
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作者 W. Lambert D. Marchesin 《Acta Mathematica Scientia》 SCIE CSCD 2009年第6期1613-1628,共16页
We study the long time formation of rarefaction waves appearing in balance laws by means of singular perturbation methods. The balance laws are non standard because they contain a variable u that appears only in the f... We study the long time formation of rarefaction waves appearing in balance laws by means of singular perturbation methods. The balance laws are non standard because they contain a variable u that appears only in the flux terms. We present a concrete example occurring in flow of steam, nitrogen and water in porous media and an abstract example for a class of systems of three equations. In the concrete example the zero-order equations resulting from the expansion yield a type of conservation law system called compositional model in Petroleum Engineering. In this work we show how compositional models originate from physically more fundamental systems of balance laws. Under appropriate conditions, we prove that certain solutions of the system of balance laws decay with time to rarefaction wave solutions in the compositional model originating from the system of balance laws. 展开更多
关键词 balance laws asymptotic expansion rarefaction waves compositional models
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