基于解的相似结构的均质油藏渗流模型
Homogeneous Reservoir Seepage Model for Similar Structure based on Solution
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- 引用格式:
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李全勇,李顺初,李伟,暴喜涛.基于解的相似结构的均质油藏渗流模型[J].天然气与石油,2011,29(2):0.doi:
.Homogeneous Reservoir Seepage Model for Similar Structure based on Solution[J].Natural Gas and Oil,2011,29(2):0.doi:
- DOI:
- 作者:
- 李全勇1,李顺初1,李伟2,暴喜涛1
- 作者单位:
- 1.西华大学应用数学研究所2.西南石油大学油气藏地质与开发工程国家重点实验室
- 关键词:
- 均质油藏;有效井筒半径;变流率;相似结构;核函数
Homogeneous reservoir; Effective wellhole radius; Variable flow rate; Similar structure; Kernel function
- 摘要:
- 根据油气藏的渗流机理,在考虑有效井筒半径和井筒储集的基础上,建立了在变流率情形下的均质油藏不稳定渗流模型;利用Laplace变换,得到了变流率生产情形下的无因次储层压力和井底压力解;根据解的相似结构理论,找到不同外边界条件对应下的相似核函数,形成统一的相似结构解,为深入分析流体渗流特征提供了一个理论分析的新观点。研究给编制试井分析软件带来极大的便利,对油气藏渗流规律具有重要的意义。
Established is a seepage mathematical model for homogeneous reservoir, in which considered are effective wellhole radius, wellhole storage and three outer boundary conditions. By using Laplace transform, analytical solutions of reservoir pressure and bottom hole pressure are obtained in Laplace space in the case of variable flow rate production. It is found that there is similar structure among the solutions in the three outer boundaries according to the structural similar theory. The study results provide great convenience for well test analysis software preparation and are of significance to theoretical study on oil and gas reservoir seepage law.