边界元理论在复杂外边界油藏水平井渗流中的应用  

Application of boundary element method to fluid flow into horizontal wells in complex boundary reservoirs

作　　者：张烈辉[1] 李成勇 刘启国[1] 李允[1] 

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,成都610500 [2]成都理工大学能源学院,成都610500

出　　处：《计算力学学报》2009年第2期287-290,共4页Chinese Journal of Computational Mechanics

基　　金：高等学校优秀青年教师教学科研奖励计划(TROAPY);教育部博士点基金课题(20040615004)联合资助项目

摘　　要：受构造作用的影响,实际油藏的外边界往往是复杂多样的。本文从渗流理论出发建立了复杂外边界油藏水平井渗流数学模型,并采用Lord Kelvin点源解、贝塞尔函数积分和泊松叠加公式等方法求解了复杂外边界油藏水平井的边界元基本解,利用边界元的理论建立了复杂外边界油藏水平井井底压力响应数学模型。通过计算得到了无因次压力和压力导数双对数理论图版,并在其基础上分析了复杂外边界油藏水平井渗流特征及其影响因素。Reservoirs usually have complex boundaries due to the tectonic effect. In this paper, a mathematic model for description of flow into horizontal wells has been constructed; Furthermore, basic solutions of boundary elements have been acquired by combination of Lord Kelvin point-source solution, the integral of Bessel function and Poisson superimpose formula for reservoirs with complex boundaries. Meanwhile, a mathematic for botoom-hole pressure response of horizontal wells in reservoir with complex boundaries has also been set up based on the theory of boundary element. By solving this model, type curves of dimensionless pressure and pressure derivative were created. Therefore, flow characteris- tics of horizontal wells in complex boundary reservoirs and relevant factors can be analyzed using the resuits of this paper.

关 键 词：边界元 复杂外边界 水平井 渗流 试井分析 

分 类 号：TE312[石油与天然气工程—油气田开发工程]