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区域数学
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For advancing the calculating accuracy of the optical transfer fu-nction, the boundary of the vignetting pupilis divided into an upper curve and alower one. They are fitted by generalized polynomials in the sense of least square.The numerical integration of the OTF adopts gaussian integration with the highestalgebraic accuracy, and the mathematical treatments of integral region are discussedin different cases. Finally a computing example is given.

为了提高光学传递函数的计算精度,把渐晕光瞳边界线分成上、下两条曲线,应用广义多项式在最小二乘意义下进行曲线拟合;光学传递函数的数值积分采用最高代数精度的高斯积分,并讨论在不同情况下积分区域的数学处理。最后给出了计算实例。

In this paper are analyzed the factors, which have influence on the temperature rise along the back of stator core for large hydrogenerator. The mathematical model in scattered zone of the axial temperature rise distribution along the back of stator core is established with system analysis method. Characteristic coefficient Xji is calcutated, and the accurate expression of the mathematical model is obtained. The 2#. 6# large hydrogenerators of Zhaxi Power station are given as exampeles for calculating in this...

In this paper are analyzed the factors, which have influence on the temperature rise along the back of stator core for large hydrogenerator. The mathematical model in scattered zone of the axial temperature rise distribution along the back of stator core is established with system analysis method. Characteristic coefficient Xji is calcutated, and the accurate expression of the mathematical model is obtained. The 2#. 6# large hydrogenerators of Zhaxi Power station are given as exampeles for calculating in this paper.

本文对影响大型水轮发电机定子铁心背部温升分布的因素进行了分析。用系统化分析方法构造了大型水轮发电机定子铁心背部沿轴向温升分布离散区域数学模型。求解决策权系数Xji,得出电机定子铁心背部温升分布数学模型准确表达式。木文针对柘溪水电站2号及6号机组做了实例计算。

At present, by way of observing statistics of the core and taking a picture from the well, we can understand the fracture pa- rameters of the reservoir, such as: the fracture density, the statistical distribution of the fracture length and width, the fracture dip and filling coefficient etc. By way of applying the percolation theory and according to the fracture parameters of reservoir, this paper has given calculation and dynamic simulation method about crude oil flow along the fractures around the hole. This...

At present, by way of observing statistics of the core and taking a picture from the well, we can understand the fracture pa- rameters of the reservoir, such as: the fracture density, the statistical distribution of the fracture length and width, the fracture dip and filling coefficient etc. By way of applying the percolation theory and according to the fracture parameters of reservoir, this paper has given calculation and dynamic simulation method about crude oil flow along the fractures around the hole. This method can show the range that crude oil flows. Therefore, it has solved the mathematical describe problem about the distribution area of surplus oil in the fractured reservoir after gushing production and provided basis for deciding the arrangement of infill wells. This paper presentstwo examples. The calculating and simulating results are conformed to the real recovery results.In practice, this paper has given a new method of making dynamic numerical modeling without using continuous medium theory about reservoir.

本文应用迂渗(percolation)理论,根据油藏裂缝特征参数,给出了油井周围裂缝系统延伸范围的分析计算和计算机模拟方法,从而解决了裂缝性油气藏自喷开采后剩余油分布区域的数学描述问题,为打加密井提高采收率确定布井方案提供了依据。文章列出了两个实例,计算和模拟结果与开发实际相一致。

 
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