摘要
考虑污水中固体颗粒侵入地层,堵塞孔隙降低地层渗透性,对其建立数学模型,将模型归结为问题1和问题2。问题1是一个确定p、Sw、So、φ的偏微分方程反问题,对于问题1,建立差分格式进行数值求解;问题2是一个确定Cp的初边值问题,在问题1的基础上,其求解可用特征线法,由Cp、φ又可计算出油层渗透率及伤害半径等。求解过程是问题1和问题2辗转进行。
On the consideration that the solid particle in wastewater invades into formation and plugs the pores so that reduces the in-place permeability, a mathematical model that is summarized as problem 1 and problem 2 has been developed. Problem 1 is a deterministic partial differential equation (PDE) reversed problem that can be solved with the difference format. In contrast, as a deterministic initial boundary problem, problem 2 has been solved with the method of characteristic, during which both the reservoir permeability and the damage radius could be found. The solving process of the two problems carries on in turns.
出处
《西南石油学院学报》
CAS
CSCD
北大核心
2006年第3期13-16,共4页
Journal of Southwest Petroleum Institute
基金
"油气藏地质及开发工程"国家重点实验室项目(石油计算技术专项研究)成果之一。
关键词
数学模型
反问题
特征线法
辗转求解
mathematical model
reversed question
method of characteristic
solve in turns
