基于边界元法的含局部不渗透区域任意形状气藏渗流问题  

Arbitrarily shaped gas reservoir seepage with impermeable zones based on boundary element method

作　　者：王海涛[1] 张烈辉[1] 冀秀香[2] 史文选[2] 王宇[3] 

机构地区：[1]西南石油大学油气藏地质及开发工程国家重点实验室,四川成都610500 [2]中国石油吉林油田公司勘探开发研究院,吉林松原138001 [3]西南油气田公司采气工程研究院,四川广汉618300

出　　处：《大庆石油学院学报》2009年第2期62-67,125,共6页Journal of Daqing Petroleum Institute

基　　金：教育部博士点基金项目(20040615004);四川省学术和技术带头人培养基金项目(2200320);高等学校优秀青年教师教学科研奖励计划项目(TRAPOYT)

摘　　要：为求解任意形状气藏的渗流问题,建立含局部不渗透区域的任意形状气藏的边界元渗流模型,求解模型并绘制井底压力动态的典型曲线;根据渗流机理和渗流过程,分析曲线的形态;将简单气藏模型的边界元解与解析解进行比较,验证该气藏边界元模型及方法的正确性和可靠性.结论有助于认识该类复杂气藏的渗流机理和渗流过程,也可用于试井分析,识别大范围内不渗透区域的存在,为认识和开发气藏提供理论基础.At present,in the oil reservoir engineering field,some scholars began to use the boundary method to tackle the seepage problem of irregularly shaped reservoir.However,their research mainly concentrates on oil reservoirs.For the seepage problem of irregularly shaped gas reservoirs,little research has been done.We used multi-discipline theories,such as transfusion mechanics,partial differential equation,boundary element and computational mathematics to built the boundary element seepage model for arbitrarily shaped gas reservoirs with impermeable subregions.Then he solved and computed this model,drew the type curves for bottomhole pressure,and analyzed the shape of typical curves from flow mechanism and process.The results help people to understand the flow mechanism of this kind of reservoir and also can be used to well test.It helps us to identify the existence of big impermeable subregions.It provides theoretical basis for people to reasonably develop reservoir.In the paper,the author validated the accuracy and reliability of this model and this method by compared simple gas reservoir models' analytical solution and their boundary element solution.

关 键 词：气藏 不渗透区域 任意形状 边界元 积分方程 广义函数 拉氏变换 

分 类 号：TE31[石油与天然气工程—油气田开发工程]