摘要
在实际油藏的三元复合驱条件下,三元复合体系多表现出非牛顿幂律流体的渗流特征。将三元复合体系假定为非牛顿幂律流体所得到的均质试井模型是非线性的,难以求得解析解,通常只用数值方法求得其近似解。本文使用加法分离变量法,求解尚未有解析解的非定常非线性试井方程,导出了一系列简明(无特殊函数和无穷级数)的解析解,以发展非Newton幂律流体的理论;而且还可以作为标准解来检验相应的数值解的准确度、收敛性与稳定性,以发展数值方法。此外,应用常规分离变量法也得到了一些显式解析解。
Among numerous tertiary technologies,Alkaline-Surfactant-Polymer（ASP） flooding is one of the most important enhanced oil recovery methods.In this method,the ASP solution system exhibits the characteristics of a non-Newtonian power-law fluid.A homogeneous well test model based on non-Newtonian power-law fluid is nonlinear and it is very difficult to obtain explicit exact analytical solutions.Generally,one can only obtain approximate solutions with numerical methods.Recently,an advanced method of separating variables with additions was proposed by the authors,which can be used to obtain exact analytical solutions.This method in this paper is used to solve the unsteady nonlinear well test equation.A series of exact analytical solutions（without using special functions or infinite series） are derived based on the theory of non-Newtonian power-law fluid.They can be used as the benchmark solutions to check the accuracy,convergence and stability of the numerical solutions and to develop the numerical computational approaches.
出处
《科技导报》
CAS
CSCD
北大核心
2010年第18期32-35,共4页
Science & Technology Review
基金
国家自然科学基金项目(50876106)
国家重点基础研究发展计划(973计划)项目(2010CB227306)
关键词
非牛顿幂律流
试井模型
解析解
加法分离变量法
non-Newtonian
well test model
analytical solution
method of separating variables with addition
