摘要
针对复合油藏,建立其球向不稳定渗流的试井分析模型;利用Laplace变换,解得在变流率生产情形下的储集层压力和井底压力的Laplace空间解;根据微分方程解的相似结构理论,得到在3种外边界条件下内外区的储集层压力的Laplace空间解的相似结构.解的相似结构的获得有利于进一步分析解的内在规律;便于在相应的实际问题中分析参数对于解的影响.
The well testing model of spherical fluids flow problems for composite reservoir is established.The solutions in Laplace Space for the mathematical model are derived by Laplace transform.According to the theory of similar structure of solutions for differential equations,the similar structure of the solutions is obtained.The theory of similar structure is beneficial to understand the inherent laws of solutions and to analyze the influence of parameters to solutions.
出处
《数学的实践与认识》
CSCD
北大核心
2014年第3期122-127,共6页
Mathematics in Practice and Theory
基金
四川省教育厅自然科学重点项目"微分方程边值问题的相似构造法及其应用"(12ZA164)
关键词
复合油藏
球向流
相似结构
核函数
composite reservoirs
spherical flow
similar structure
kernel functions
