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紧凸集值测度与F数值测度的Lebesgue分解(英文)
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作者 刘彦奎 刘会杰 《河北大学学报(自然科学版)》 CAS 1997年第S1期9-15,共7页
首先给出了两个集值测度之间绝对连续性和奇异性的概念,并讨论了紧凸集值测度关于σ-紧集值测度的Lebcsgue分解;最后将有关结论进一步推广到两个F数值测度之间的情形。
关键词 集值测度的绝对连续性 集值测度的奇异性 F数值测度的绝对连续性 F数值测度的奇异性
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Fuzzy集合上广义Fuzzy数值测度的哈恩分解
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作者 赵芬霞 王莉琴 《辽宁工程技术大学学报(自然科学版)》 CAS 北大核心 2001年第5期623-626,共4页
在Dan.butnariu构造的可加Fuzzy 测度和张广全先生建立的Fuzzy极限和Fuzzy距离理论基础上,提出了一类Fuzzy集合上广义Fuzzy数值测度,定义了广义Fuzzy数值测度的正、负集,探讨了二者的关系和性质,进而得到了广义Fuzzy数值测度关于Fuzzy... 在Dan.butnariu构造的可加Fuzzy 测度和张广全先生建立的Fuzzy极限和Fuzzy距离理论基础上,提出了一类Fuzzy集合上广义Fuzzy数值测度,定义了广义Fuzzy数值测度的正、负集,探讨了二者的关系和性质,进而得到了广义Fuzzy数值测度关于Fuzzy集合的哈恩分解存在的充要条件。 展开更多
关键词 FUZZY集合 广义Fuzzy数值测度 正集 负集 哈恩分解
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一类广义Fuzzy数值测度关于经典集合的哈恩分解(英文)
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作者 赵芬霞 《天津工业大学学报》 CAS 2001年第4期38-40,共3页
利用可加算子及 Fuzzy极限理论定义了 Fuzzy集合上广义 Fuzzy数值测度 ,并研究了这一测度关于经典集合的哈恩分解 .
关键词 FUZZY集合 广义Fuzzy数值测度 哈恩分解 经典集合
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广义Fuzzy数值测度的绝对连续性和奇异性探讨
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作者 赵芬霞 《中国民航学院学报》 2003年第3期58-60,共3页
给出了广义Fuzzy数值测度的绝对连续性和奇异性的定义,利用Hahn分解结论探讨了广义Fuzzy数值测度与其上变差、下变差和全变差的绝对连续性和奇异性的关系。
关键词 广义Fuzzy数值测度 绝对连续性 奇异性
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模糊σ-代数上的模糊数值测度及应用(Ⅰ) 被引量:2
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作者 张忠旺 《中国民航学院学报》 2004年第5期55-60,共6页
设(Χ,A,μ)是一个全有限测度空间,H为由A生成的模糊σ-代数。通过计算H中模糊子集的截集的测度,运用一维模糊数的嵌入定理,构造了一种定义在H上取值于一维模糊数空间的测度,这种测度限制在A上就是测度μ,并且具有可列可加性、下连续性... 设(Χ,A,μ)是一个全有限测度空间,H为由A生成的模糊σ-代数。通过计算H中模糊子集的截集的测度,运用一维模糊数的嵌入定理,构造了一种定义在H上取值于一维模糊数空间的测度,这种测度限制在A上就是测度μ,并且具有可列可加性、下连续性、上连续性、自连续性等性质。这种测度取值一维模糊数,保留了模糊子集较多的信息,所以它可以更为细致地刻划模糊子集。作为在模糊聚类理论方面的应用,把(Χ,A,μ)上用于度量普通集合间不相似性的度量推广到了H上的模糊子集间,得到了一种基本的H上不相似度量。 展开更多
关键词 不相似度量 嵌入映射 模糊数 模糊数值测度 连续性 全有限测度空间
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由一种模糊代数上的模糊数值测度确定的不相似度量
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作者 张忠旺 《东北电力大学学报》 2006年第6期17-21,共5页
给出全有限测度空间(X,,μ)中生成的模糊σ-代数上的模糊数值测度,模糊σ-代数上的不相似度量。对X为有限集的情形,计算了模糊子集间的距离,给出了一种模糊聚类工具。
关键词 模糊聚类 不相似度量 模糊数 模糊数值测度
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紧空间上的正则向量值测度
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作者 郑喜印 《Chinese Quarterly Journal of Mathematics》 CSCD 1991年第4期106-107,共2页
J.Diestel和J.J.Uhl,Jr在他们的专著《Vector Measures》一书的第六章讨论了向量测度与C(Ω)上有界线性算子的关系。我们利用其中的一些结果得到紧空间上一类正则向量测度通过数值测度表示的定理。设Ω是紧Hausdorff空间,∑是Ω的所有Bo... J.Diestel和J.J.Uhl,Jr在他们的专著《Vector Measures》一书的第六章讨论了向量测度与C(Ω)上有界线性算子的关系。我们利用其中的一些结果得到紧空间上一类正则向量测度通过数值测度表示的定理。设Ω是紧Hausdorff空间,∑是Ω的所有Borel集构成的σ-代数,X是Banach空间,G:∑→X称为Ω上的正则X-值测度,若(i) 展开更多
关键词 紧空间 正则向量测度 数值测度
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局部紧T_2拓扑空间上的F-容度
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作者 朱良宽 王长忠 陈德刚 《锦州师范学院学报(自然科学版)》 2003年第3期51-57,共7页
首先定义了模糊数值外测度 ;在局部紧拓扑T2 空间上定义了模糊数值容度 ,并利用模糊数的d1度量讨论了模糊数值容度的性质 ;利用模糊数值外测度和模糊数容度给出一种由简单模糊数值函数构造出正则模糊数测度的方法 ;最后讨论了模糊数值... 首先定义了模糊数值外测度 ;在局部紧拓扑T2 空间上定义了模糊数值容度 ,并利用模糊数的d1度量讨论了模糊数值容度的性质 ;利用模糊数值外测度和模糊数容度给出一种由简单模糊数值函数构造出正则模糊数测度的方法 ;最后讨论了模糊数值容度的正则性与其引出的正则模糊数测度的关系。 展开更多
关键词 局部紧T2拓扑空间 F—容度 模糊数值测度 模糊数值容度 正则性
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Two-stage numerical simulation for temperature profile in furnace of tangentially fired pulverized coal boiler 被引量:1
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作者 周乃君 徐琼辉 周萍 《Journal of Central South University of Technology》 2005年第1期97-101,共5页
Considering the fact that the temperature distribution in furnace of a tangential fired pulverized coal boiler is difficult to be measured and monitored, two-stage numerical simulation method was put forward. First, m... Considering the fact that the temperature distribution in furnace of a tangential fired pulverized coal boiler is difficult to be measured and monitored, two-stage numerical simulation method was put forward. First, multi-field coupling simulation in typical work conditions was carried out off-line with the software CFX-4.3, and then the expression of temperature profile varying with operating parameter was obtained. According to real-time operating parameters, the temperature at arbitrary point of the furnace can be calculated by using this expression. Thus the temperature profile can be shown on-line and monitoring for combustion state in the furnace is realized. The simul-(ation) model was checked by the parameters measured in an operating boiler, (DG130-9.8/540.) The maximum of relative error is less than 12% and the absolute error is less than 120℃, which shows that the proposed two-stage simulation method is reliable and able to satisfy the requirement of industrial application. 展开更多
关键词 pulverized coal boiler combustion monitoring temperature distribution numerical simulation
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A fast explicit finite difference method for determination of wellhead injection pressure 被引量:2
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作者 白冰 李小春 +2 位作者 刘明泽 石露 李琦 《Journal of Central South University》 SCIE EI CAS 2012年第11期3266-3272,共7页
A fast explicit finite difference method (FEFDM),derived from the differential equations of one-dimensional steady pipe flow,was presented for calculation of wellhead injection pressure.Recalculation with a traditiona... A fast explicit finite difference method (FEFDM),derived from the differential equations of one-dimensional steady pipe flow,was presented for calculation of wellhead injection pressure.Recalculation with a traditional numerical method of the same equations corroborates well the reliability and rate of FEFDM.Moreover,a flow rate estimate method was developed for the project whose injection rate has not been clearly determined.A wellhead pressure regime determined by this method was successfully applied to the trial injection operations in Shihezi formation of Shenhua CCS Project,which is a good practice verification of FEFDM.At last,this method was used to evaluate the effect of friction and acceleration terms on the flow equation on the wellhead pressure.The result shows that for deep wellbore,the friction term can be omitted when flow rate is low and in a wide range of velocity the acceleration term can always be deleted.It is also shown that with flow rate increasing,the friction term can no longer be neglected. 展开更多
关键词 wellhead pressure injection pressure bottom-hole pressure fast explicit finite difference method
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Excisional hemorrhoidal surgery and its effect on anal continence 被引量:3
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作者 Yan-Dong Li Jia-He Xu +1 位作者 Jian-Jiang Lin Wei-Fang Zhu 《World Journal of Gastroenterology》 SCIE CAS CSCD 2012年第30期4059-4063,共5页
AIM:To investigate the role of anal cushions in hemorrhoidectomy and its effect on anal continence of the patients.METHODS:Seventy-six consecutive patients(33 men and 43 women) with a mean age of 44 years were include... AIM:To investigate the role of anal cushions in hemorrhoidectomy and its effect on anal continence of the patients.METHODS:Seventy-six consecutive patients(33 men and 43 women) with a mean age of 44 years were included.They underwent Milligan-Morgan hemorrhoidectomy because of symptomatic third-and fourth-degree hemorrhoids and failure in conservative treatment for years.Wexner score was recorded and liquid continence test was performed for each patient before and two months after operation using the techniques described in our previous work.The speed-constant rectal lavage apparatus was prepared in our laboratory.The device could output a pulsed and speed-constant saline stream with a high pressure,which is capable of overcoming any rectal resistance change.The patients were divided into three groups,group A(< 900 mL),group B(900-1200 mL) and group C(> 1200 mL) according to the results of the preoperative liquid continence test.RESULTS:All the patients completed the study.The average number of hemorrhoidal masses excised was 2.4.Most patients presented with hemorrhoidal symptoms for more than one year,including a mean duration of incontinence of 5.2 years.The most common symptoms before surgery were anal bleeding(n = 55),prolapsed lesion(n = 34),anal pain(n = 12) and constipation(n = 17).There were grade Ⅲ hemorrhoids in 39(51.3%) patients,and grade Ⅳ in 37(48.7%) patients according to Goligher classification.Five patients had experienced hemorrhoid surgery at least once.Compared with postoperative results,the retained volume in the preoperative liquid continence test was higher in 40 patients,lower in 27 patients,and similar in the other 9 patients.The overall preoperative retained volume in the liquid continence test was 1130.61 ± 78.35 mL,and postoperative volume was slightly decreased(991.27 ± 42.77 mL),but there was no significant difference(P = 0.057).Difference was significant in the test value before and after hemorrhoidectomy in group A(858.24 ± 32.01 mL vs 574.18 ± 60.28 mL,P = 0.011),but no obvious difference was noted in group B or group C.There was no significant difference in Wexner score before and after operation(1.68 ± 0.13 vs 2.10 ± 0.17,P = 0.064).By further stratified analysis,there was significant difference before and 2 months after operation in group A(2.71 ± 0.30 vs 3.58 ± 0.40,P = 0.003).In contrast,there were no significant differences in group B or group C(1.89 ± 0.15 vs 2.11 ± 0.19,P = 0.179;0.98 ± 0.11 vs 1.34 ± 0.19,P = 0.123).CONCLUSION:There is no difference in the continence status of patients before and after Milligan-Morgan hemorrhoidectomy.However,patients with preoperative compromised continence may have further deterioration of their continence,hence Milligan-Morgan hemorrhoidectomy should be avoided in such patients. 展开更多
关键词 Anal cushion Anal incontinence Liquids continence test Wexner score Hemorrhoidectomy
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Pull-out tests and slope stability analyses of nailing systems comprising single and multi rebars with grouted cement 被引量:6
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作者 Sang-Soo Jeon 《Journal of Central South University》 SCIE EI CAS 2012年第1期262-272,共11页
The pull-out capacities for soil nailing systems comprising of one single 29 mm diameter(type A) and four 16 mm diameter(type B) rebars with grouted cement were examined.A field test and numerical analysis for the typ... The pull-out capacities for soil nailing systems comprising of one single 29 mm diameter(type A) and four 16 mm diameter(type B) rebars with grouted cement were examined.A field test and numerical analysis for the type A and type B systems were carried out to investigate the pull-out capacities and the slope stability reinforcement efficiency in soil and rock slopes.The results of the pull-out tests show the mobilized shear force and load transfer characteristics with respect to soil depth.The load-displacement relationship was examined for both type A and type B systems.Slope stability analyses were carried out to study the relationships between soil and nail reinforcement and bending stiffness as well as combined axial tension and shear forces.Factors of safety were calculated in relation to the number of nails and their outside diameters.Both soil and rock slopes were included in this evaluation. 展开更多
关键词 soil nailing bending resistance pull-out test finite difference method
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Iris Feature Extraction and Recognition Based on Fractal Dimension of Grayscale Extremums
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作者 刘凯 周卫东 +1 位作者 王长宇 王玉 《Journal of Measurement Science and Instrumentation》 CAS 2011年第3期235-239,共5页
This paper presented an individual recognition algorithm for human iris using fractal dimension of grayscale extremums for feature extraction.Firstly,iris region was localized from an eye image with modified circle de... This paper presented an individual recognition algorithm for human iris using fractal dimension of grayscale extremums for feature extraction.Firstly,iris region was localized from an eye image with modified circle detector stemmed from Daugman’s integro-differential operator.Then,segmentation was used to extract the iris and to exclude occlusion from eyelids and eyelashes.The extracted iris was normalized and mapped to polar coordinates for matching.In feature encoding,a new approach based on fractal dimension of grayscale extremums was designed to extract textural features of iris.Finally,a normalized correlation classifier was employed to determine the agreement of two iris feature templates,and the feature template was rotated left and right to avoid the interference from rotation of eyes and tilting of head.The experimental results show that fractal dimension of grayscale extremums can extract textural features from iris image effectively,and the proposed recognition algorithm is accurate and efficient.The proposed algorithm was tested on CASIA-IrisV3-Interval iris database and the performance was evaluated based on the analysis of both False Accept Rate(FAR)and False Reject Rate(FRR)curves.Experimental results show that the proposed iris recognition algorithm is effective and efficient. 展开更多
关键词 iris recognition fractal dimension normalized correlation
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A Sufficient Condition for Interolation by Functions in A^P(φ) (1
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作者 肖杰 赵大蕻 《Chinese Quarterly Journal of Mathematics》 CSCD 1992年第4期56-62,共7页
Let φ be a normal function on [0,1) and A'(φ)(1<P<∞) Bergman space on the unit disk, weighted with φ~P(|·|)/(1-|·|~2).A sufficient condition for interpolation by functions in A^P(φ) is obtaine... Let φ be a normal function on [0,1) and A'(φ)(1<P<∞) Bergman space on the unit disk, weighted with φ~P(|·|)/(1-|·|~2).A sufficient condition for interpolation by functions in A^P(φ) is obtained by controlling norms of linear operators. 展开更多
关键词 NORMAL weighted Bergman space pseudo-hyperbolic metric INTERPOLATION
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Predicting Solvent Concentration Profile in the Porous Media Using Various Numerical Solutions to Convection-Dispersion Equation
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作者 Ali Abedini Farshid Torabi Nader Mosavat 《Journal of Mathematics and System Science》 2012年第7期409-419,共11页
Convection-dispersion of fluids flowing through porous media is an important phenomenon in immiscible and miscible displacement in hydrocarbon reservoirs. Exact calculation of this problem leads to perform more robust... Convection-dispersion of fluids flowing through porous media is an important phenomenon in immiscible and miscible displacement in hydrocarbon reservoirs. Exact calculation of this problem leads to perform more robust reservoir simulation and reliable prediction. There are various techniques that have been proposed to solve convection-dispersion equation. To check the validity of these techniques, the convection-dispersion equation was solved numerically using a series of well known numerical techniques. Such techniques that employed in this study include method of line, explicit, implicit, Crank-Nicolson and Barakat-Clark. Several cases were considered as input, and convection-dispersion equation was solved using the aforementioned techniques. Moreover the error analysis was also carried out based on the comparison of numerical and analytical results. Finally it was observed that method of line and explicit methods are not capable of simulating the convection-dispersion equation for wide range of input parameters. The Barakat-Clark method was also failed to predict accurate results and in some cases it had large deviation from analytical solution. On the other hand, the simulation results of implicit and Crank-Nicolson have more qualitative and quantitative agreement with those obtained by the analytical solutions. 展开更多
关键词 Convection-dispersion method of line EXPLICIT IMPLICIT Crank-Nicolson.
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Tracking of Flat Belts
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作者 Martin Egger Klaus Hoffmann 《Journal of Mechanics Engineering and Automation》 2012年第1期27-36,共10页
When applying fiat belts, correct tracking of the belt through the installation has to be assured. Since flat belts are commonly used for conveying and transmission purposes, tracking systems have been well developed,... When applying fiat belts, correct tracking of the belt through the installation has to be assured. Since flat belts are commonly used for conveying and transmission purposes, tracking systems have been well developed, but the ultimate tracking behaviour of the belt can be greatly enhanced by taking special care in the creation of an adequate tracking mechanism. To obtain long-life operation and full value from the equipment, the correct tracking technique plays an important role. This paper deals with two tracking techniques: The skewed and the angled pulley axis. Numerical simulation results are compared with both measurements and an analytical approach. The advantages of numerical simulation compared to experimental tests are ease, convenience and the absence of any safety risk. Compared to analytical approaches the simulation is used for systems for which simple closed form analytic solutions are not possible. 展开更多
关键词 Flat belt belt tracking angled pulley axis skewed pulley axis.
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有关正交随机测度的一些结果
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作者 林一星 《Journal of Mathematical Research and Exposition》 CSCD 2000年第4期609-612,共4页
本文给出正文随机测度和数值测度的零一律及拓扑群成为局部紧的充分条件.
关键词 正交随机测度 拓扑空间 数值测度 零一律 拓扑群 局部紧
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A Definition and Some Properties of Group-Valued Measure
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作者 杨义川 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2001年第1期63-68,共6页
We give a definition and some primary properties of group-valued measure with a second countable complete Boolean algebra domain, and with a subset of a first countable complete Abelian po-group codomain.
关键词 first countable completness second countable completness Abelian pogroup Boolean algebra.
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Forecasting Gas Consumption Based on a Residual Auto-Regression Model and Kalman Filtering Algorithm 被引量:9
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作者 ZHU Meifeng WU Qinglong WANG Yongqin 《Journal of Resources and Ecology》 CSCD 2019年第5期546-552,共7页
Consumption of clean energy has been increasing in China.Forecasting gas consumption is important to adjusting the energy consumption structure in the future.Based on historical data of gas consumption from 1980 to 20... Consumption of clean energy has been increasing in China.Forecasting gas consumption is important to adjusting the energy consumption structure in the future.Based on historical data of gas consumption from 1980 to 2017,this paper presents a weight method of the inverse deviation of fitted value,and a combined forecast based on a residual auto-regression model and Kalman filtering algorithm is used to forecast gas consumption.Our results show that:(1)The combination forecast is of higher precision:the relative errors of the residual auto-regressive model,the Kalman filtering algorithm and the combination model are within the range(–0.08,0.09),(–0.09,0.32)and(–0.03,0.11),respectively.(2)The combination forecast is of greater stability:the variance of relative error of the residual auto-regressive model,the Kalman filtering algorithm and the combination model are 0.002,0.007 and 0.001,respectively.(3)Provided that other conditions are invariant,the predicted value of gas consumption in 2018 is 241.81×10~9 m^3.Compared to other time-series forecasting methods,this combined model is less restrictive,performs well and the result is more credible. 展开更多
关键词 residual auto-regressive model Kalman filtering algorithm inverse fitting value deviation method combined forecast
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Incorporation of TOPMODEL into land surface model SSiB and numerically testing the effects of the corporation at basin scale 被引量:5
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作者 DENG HuiPing SUN ShuFen 《Science China Earth Sciences》 SCIE EI CAS 2012年第10期1731-1741,共11页
In order to examine and analyze the effects of integration of land surface models with TOPMODEL and different approaches for the integration on the model simulation of water and energy balances,the coupled models have... In order to examine and analyze the effects of integration of land surface models with TOPMODEL and different approaches for the integration on the model simulation of water and energy balances,the coupled models have been developed,which incorporate TOPMODEL into the Simplified Biosphere Model(SSiB) with different approaches(one divides a basin into a number of zones according to the distribution of topographic index,and the other only divides the basin into saturated and unsaturated zones).The coupled models are able to(but SSiB is not able to) take into account the impacts of topography variation and vertical heterogeneity of soil saturated hydraulic conductivity on horizontal distribution of soil moisture and in turn on water and energy balances within the basin(or a grid cell).By using the coupled models and SSiB model itself,the daily hydrological components such as runoffs are simulated and final results are analyzed carefully.Simulated daily results of hydrological components produced by both SSiB and coupled models show that(i) There is significant difference between results of soil wetness,its vertical distribution and seasonal variation,water and energy balance,and daily runoff in the basin predicted by SSiB and by the coupled models.The land surface model currently used such as SSiB is likely to misrepresent real feature of water and energy balances in the basin.(ii) Compared with the results for the basin predicted by SSiB,the coupled models predict more strong vertical and seasonal changes in soil wetness,higher evaporation and lower runoff,and improve the base flow simulation obviously.(iii) Comparing the results for the basin predicted by two coupled models with different integration approach and SSiB one by one,the results of daily runoffs and soil wetness predicted by the two coupled models are quite similar.It means,for the coupled models,the approach by dividing a region being considered into more subzones may have limited effects on improving runoff simulation results.The scheme only to divide the region into saturated and unsaturated zones may be a convenient and effective scheme.But then,if the results from the two coupled models for the basin are carefully compared,the simulated results by the coupled model with dividing the basin into more subzones will show higher evaporation and surface runoff but lower subsurface flow,lower total runoff,and lower ground water level averaged for five years. 展开更多
关键词 land surface model TOPMODEL coupling scheme effects on simulation results
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