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同登科,薛莉莉,廉培庆.三孔单渗模型数值模拟研究[J].计算力学学报,2009,26(4):500~504
三孔单渗模型数值模拟研究
Research on the numerical simulation of triple-porosity singular permeability model
投稿时间:2007-06-02  
DOI:10.7511/jslx20094009
中文关键词:  三孔单渗  非线性  二次梯度项  有限差分  数值模拟
英文关键词:triple-porosity singular permeability  nonlinearity  quadratic gradient term  finite difference  numerical simulation.
基金项目:山东省自然科学基金(Y2007F13);国家自然科学基金(40874044)资助项目.
作者单位
同登科 中国石油大学 (华东),东营 257061 
薛莉莉 中国石油大学 (华东),东营 257061 
廉培庆 中国石油大学 (华东),东营 257061 
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中文摘要:
      保留了非线性偏微分方程中的所有项,没有忽略二次梯度项的影响。建立了由基岩、裂缝及溶洞系统组成的三孔单渗模型。采用有限差分的方法获得了无限大地层定产量生产、有界封闭地层定产量生产和有界封闭地层定压生产时的三孔单渗模型的差分方程,用解非线性方程组的Broyder迭代法求得了方程组的数值解。分别讨论了三重介质参数变化时的压力变化规律,并考虑了井筒储集和表皮效应对压力的影响,做出了典型压力曲线图。
英文摘要:
      In this paper, all terms in nonlinear partial differential equation are retained and the quadratic-gradient term is not neglected. Triple-porosity singular permeability model consisting of matrix, fractures and vugs is built. The difference schemes of triple porosity model are obtained by finite difference method in a constant rate production in an infinitely large system, finite closed system and constant-pressure production in an finite closed system. The numerical solutions of equations are obtained by Broyden method which is used to solve nonlinear partial differential equations. This paper discusses the changing rule of pressure when triple porosity parameters change, and the paper also considered the effects of skin and wellbore storage on the changing pressure curves. The plots of typical pressure curves are given.
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