| 三孔单渗模型数值模拟研究 |
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| 引用本文： | 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. |
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| 作者姓名： | 同登科 薛莉莉 廉培庆 |
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| 作者单位： | 中国石油大学,华东,东营,257061 |
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| 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 |
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| 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。
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| 关 键 词： | 三孔单渗 非线性 二次梯度项 有限差分 数值模拟 |
| 收稿时间： | 6/2/2007 12:00:00 AM |
Research on the numerical simulation of triple-porosity singular permeability model |
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| TONG Deng-ke,XUE Li-li and LIAN Pei-qing.Research on the numerical simulation of triple-porosity singular permeability model[J].Chinese Journal of Computational Mechanics,2009,26(4):500-504. |
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| Authors: | TONG Deng-ke XUE Li-li and LIAN Pei-qing |
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| Institution: | China University of Petroleum(East of China),Dongying 257061, China;China University of Petroleum(East of China),Dongying 257061, China;China University of Petroleum(East of China),Dongying 257061, China |
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| Abstract: | 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... |
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| Keywords: | triple-porosity singular permeability nonlinearity quadratic gradient term finite difference numerical simulation |
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