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安全疏散模型研究 被引量:2
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作者 郭培俊 毛海舟 郭晓曼 《数学教学研究》 2009年第8期52-56,59,共6页
以四川桑枣中学师生逃生奇迹为背景,用初等数学建模方法建立3种疏散模型对此进行研究。找出人员逃生时间和速度、人与人之间间隙及其他变量之间的关系,并借助实测数据和经验数据对3种模型求解,用于推断四川桑枣中学师生能在1分36秒... 以四川桑枣中学师生逃生奇迹为背景,用初等数学建模方法建立3种疏散模型对此进行研究。找出人员逃生时间和速度、人与人之间间隙及其他变量之间的关系,并借助实测数据和经验数据对3种模型求解,用于推断四川桑枣中学师生能在1分36秒内成功逃生的可能性.结论是:组织单队(口字模型)疏散是不成功的,组织双队(吕字模型)疏散可以成功,但要把人与人前后之间距离(含人体本身厚度,单位:m)控制在[0.5,0.8]小范围内,速度(单位:m/s)控制在[1.2,1.8]小范围内.而组织三队(品字模型)疏散则更容易成功,控制间距扩大到[0.5,1.3]区间,疏散奔走速度优化到[0.71,1.72]范围内便可安全疏散. 展开更多
关键词 安全疏散 疏数模型 数学建模
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Numerical Calculation of Channel Dredging Volume Using 3D Digital Stratum Model 被引量:1
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作者 缪正建 李明超 钟登华 《Transactions of Tianjin University》 EI CAS 2012年第2期90-96,共7页
Prediction of channel dredging volume is critical for project cost estimation. However, many proposed approximate methods are not accurate. This paper presents a novel numerical method to accurately calculate the dred... Prediction of channel dredging volume is critical for project cost estimation. However, many proposed approximate methods are not accurate. This paper presents a novel numerical method to accurately calculate the dredg- ing volume using a 3D stratum model (DSM) and a channel surface model. First, the 3D DSM is constructed rapidly yet accurately from non-uniform rational B-splines (NURBS) surfaces through Boolean operation between a physical terrain model and a stratum surfaces model. Then, a parametric channel surface model is built from cross-section data and a channel center line using code implemented in the VC++ programming language. Finally, the volumes of different types of physical stratums can be calculated automatically and hierarchically to determine the dredging volume. Practical application shows that the DSM method is more precise and faster compared to the section method, and that the implementation of the developed software provides an interactive graphical user interface and visual presentation. 展开更多
关键词 dredging volume numerical calculation digital stratum model parametric modeling surface integral
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A new method to optimize the fracture geometry of a frac-packed well in unconsolidated sandstone heavy oil reservoirs 被引量:6
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作者 BIAN XiaoBing ZHANG ShiCheng +1 位作者 ZHANG JingChen WANG Fei 《Science China(Technological Sciences)》 SCIE EI CAS 2012年第6期1725-1731,共7页
The worldwide proven recoverable reserves of conventional oil are less than the amount of the heavy oil.Owing to weakly consolidated formation,sand production is an important problem encountered during oil production ... The worldwide proven recoverable reserves of conventional oil are less than the amount of the heavy oil.Owing to weakly consolidated formation,sand production is an important problem encountered during oil production in heavy oil reservoirs,for which frac-pack technique is one of the most common treatments.Hence,how to obtain the optimal fracture geometry is the key to increasing well production and preventing sand.Due to the faultiness that current optimization of the fracture geometry only depends on well productivity,fracture-flow fraction was used to describe the contribution of the fracture collecting and conducting fluids from the reservoir.The higher the fracture-flow fraction,the more likely bilinear flow pattern occurs,thus leading to smaller flow resistance and better results in oil productivity and sand prevention.A reservoir numerical simulation model was established to simulate the long-term production dynamic of a fractured well in rectangular drainage areas.In order to reach the aim of increasing productivity meanwhile preventing sand,a new method based on Unified Fracture Design was developed to optimize the fracture geometry.For a specific reservoir and a certain amount of proppant injected to the target layer,there exits an optimal dimensionless fracture conductivity which corresponds to the maximum fracture-flow fraction,accordingly we can get the optimal fracture geometry.The formulas of the optimal fracture geometry were presented on square drainage area conditions,which are very convenient to apply.Equivalent Proppant Number was used to eliminate the impact of aspect ratios of rectangular drainage area,then,the same method to optimize the fracture geometry as mentioned for square drainage areas could be adopted too. 展开更多
关键词 unconsolidated sandstone heavy oil reservoirs frac-pack technique parameter optimization Proppant Number nu-merical simulation
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