共查询到18条相似文献,搜索用时 390 毫秒
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使用混合网格计算非达西渗流 总被引:1,自引:0,他引:1
针对垂直裂缝井的特殊流动模式,从非达西定律出发,建立二维平面的非达西渗流方程.通过建立一组无量纲量,最终得到无量纲的渗流方程及其定解条件.假定外边界为圆形,用PEBI网格及混合网格对求解区域进行网格划分,用有限差分法对无量纲的方程进行离散,最终得到垂直裂缝井的井底压力数值解.根据此数值解并考虑井筒存储和表皮因子的影响,得到真实垂直裂缝井的井底压力.对计算结果的分析表明,使用混合网格求解非达西渗流井底压力相当准确,该方法也适用于水平井等更复杂井型及复杂边界的问题求解. 相似文献
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分形油藏非牛顿幂律流体低速非达西不稳定渗流的组合数学模型 总被引:9,自引:1,他引:8
结合分形理论与渗流理论,对分形油藏非牛顿幂律流体低速非达西不稳定渗流的试井分析问题的数学模型进行了推导.该分形油藏模型由内域为非牛顿幂律流体低速非达西渗流,外域为非牛顿幂律流体达西渗流的同心圆域组成.在考虑井筒储存、表皮效应影响下,建立了该油藏的不稳定渗流有效井径组合数学模型,在3种外边界条件下求出了两个区域内压力在Laplace空间的解析解,应用Stehfest数值反演方法求得井底的无因次压力,分析了井底压力动态特征和参数影响.非牛顿幂律流体的幂律指数、分形参数均对典型曲线产生较大的影响,呈现出与牛顿流体和均质油藏明显不同的特征.这对非均质油藏非牛顿流体的不稳定试井分析及研究其非线性渗流特征均十分重要. 相似文献
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熊猫型保偏光纤光栅温度和压力传感特性的实验研究 总被引:2,自引:1,他引:1
对熊猫型保偏光纤光栅的传感特性进行了深入的实验研究,采用温箱和压力罐分别进行了温度和压力传感特性的实验研究.实验结果表明:在0~2.5 MPa的压强范围内,熊猫型保偏光纤光栅两个偏振方向上的压力敏感系数分别为0.004 88 nm/MPa和0.003 52 nm/MPa;在15~50 ℃的温度范围内,两个偏振方向上的温度敏感系数为0.01018 nm/℃和0.008 8 nm/℃.该光纤光栅两偏振态对温度和压力的不同敏感特性可用于解决光纤光栅的交叉敏感问题. 相似文献
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根据变系数modified Korteweg-de Vries(VCmKdV)方程与常系数KdV-mKdV方程的非线性项、色散项的相似性,对解已知的KdV-mKdV方程做适当变换,并将它的解移植到解未知的VCmKdV方程,由此构造出两个不同方程解之间的移植关系.利用这种解的移植方法,求得了由两层流体模型经演化获得的含有源(或汇)耦合VCmKdV系统新的精确解和类孤波解.对Bcklund变换与解的移植法进行了比较,分析了源和汇对波幅的影响.
关键词:
解的移植法
KdV-mKdV方程
耦合VCmKdV系统
类孤波解 相似文献
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分形复合油藏非牛顿幂律流体不稳定渗流的数学模型 总被引:2,自引:0,他引:2
对不稳定渗流的数学模型进行了推导并建立了分形复合油藏不稳定渗流模型.在无限大地层、有界定压、有界封闭三种外边界条件下分别求出了它们在Laplace空间的解析解.对于两区的特殊情况,分析了井底压力动态特征和参数影响,制作了典型曲线.非牛顿幂律流体的幂律指数,分形参数均对典型曲线产生较大的影响,呈现出与牛顿流体和均质油藏明显不同的特征.这对于非均质油藏非牛顿流体的不稳定试井分析和研究非线性渗流特征都是十分重要的. 相似文献
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三维非均匀不稳定渗流方程的自适应网格粗化算法 总被引:3,自引:0,他引:3
将渗透率自适应网格技术应用于三维非均匀不稳定渗流方程的网格粗化算法中,在渗透率或孔隙度变化异常区域自动采用精细网格,用直接解法求解渗透率或孔隙度变化异常区域的压强分布,在其它区域采用不均匀网格粗化的方法计算,即在流体流速大的区域采用精细网格.用该方法计算了三维非均匀不稳定渗流场的压降解,结果表明三维非均匀不稳定渗流方程的三维非均匀自适应网格粗化算法的解在渗透率或孔隙度异常区的压强分布规律与采用精细网格的解非常逼近,在其它区域压强分布规律与粗化算法的解非常逼近,计算速度比采用精细网格提高100多倍. 相似文献
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研究沉降分布孔隙率多孔介质流动和传热,根据"O"形圈理论和现场测定确定孔隙率系数,建立坐标方向孔隙率分布函数;考虑流体密度变化,并引入Brinkman-Forchheimer的扩展Darcy模型,能量方程采用界面连续条件,建立沉降分布孔隙率多孔介质流动和传热求解模型.采用差分法对模型进行离散化,应用高斯-赛德尔方法迭代求解.数值分析表明:沉降分布孔隙率条件下多孔介质内流体流动速度在壁面附近较大,中心部位较小,壁面附近孔隙率的增大使得低流速区域减小,较高流速区域增大;当孔隙率小值时,温度按线性减小;当孔隙率大值时,温度在高低温壁面附近迅速减小,在中部减小较缓,热量按导热和对流共同传递;孔隙率增大能使平均怒谢尔数增大,对流换热作用增强. 相似文献
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A new numerical technique based on a lattice-Boltzmann method is
presented for analyzing the fluid flow in stratigraphic porous
media near the earth's surface. The results obtained for the
relations between porosity, pressure, and velocity satisfy well
the requirements of stratigraphic statistics and hence are helpful
for a further study of the evolution of fluid flow in
stratigraphic media. 相似文献
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An analysis of tortuosity for streamlines in porous media is presented by coupling the circle and square models. It is assumed that some particles in porous media do not overlap and that fluid in porous media is incompressible. The relationship between tortuosity and porosity is attained with different configurations by using a statistical method. In addition, the tortuosity fractal dimension is expressed as a function of porosity. Those correlations do not include any empirical constant. The percolation threshold and tortuosity fractal dimension threshold of porous media are also presented as: c = 0.32, D T c = 1.07. The predicted correlations of the tortuosity and the porosity agree well with the existing experimental and simulated results. 相似文献
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Liang Mei Gabriel Somesfalean Sune Svanberg 《Applied Physics A: Materials Science & Processing》2014,114(2):393-400
By integrating gas in scattering media absorption spectroscopy and frequency domain photon migration a new method is developed for the study of optical porosity and optical properties of porous media, in our case ceramics. The optical porosity is defined as the ratio of the path length through the gas-filled pores and the physical path length through the whole medium. The effective refractive index of the porous ceramics is also retrieved based on the optical porosity, which is then used to evaluate the reduced scattering coefficients of the porous ceramics. The combined method provides a new way to study light propagation in porous media. A modified Looyenga model is proposed to study the relationship between the physical porosity and the effective refractive index of the porous medium, which also connects the optical and physical porosities, and provides the possibility to use the present method for porosimetry analysis. 相似文献
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An effective medium method is developed for the slightly compressible elastic media permeated with air-filled bubbles, according
to the nonlinear oscillation of the bubble, which happens when compressional wave travels through the porous media. The effective
Lame coefficients of the porous medium and the nonlinear elastic wave equation are deduced, based on the fact that the micro-unit
of the effective medium should have the same stress and strain as the micro-unit of the porous media. The linearized properties
obtained by this method are in good agreement with the results of Gaunaurd’s classic theory [Gaunaurd G.C. and überall H.,
J. Acoust. Soc. Am., 1978, 63: 1699–1711]. Furthermore, the nonlinear coefficient, which is an important property of the porous
media, can also be acquired by this method.
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Translated from Acta Acustica, 2006 (in Chinese) (in press) 相似文献