注水井中固体颗粒对井伤害的数学模型研究

考虑污水中固体颖粒侵入地层，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、s_w、s。、劝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又可计算出油层渗选率及伤害半径等。求解过程是问题1和问题2辗转进行。

THE MATHEMATICAL MODEL OF DAMAGE OF THE SOLD PARTICLE ON Oli. WELLS

On the consideration that the solid particle in wastewater invades into formation and plugs the pores so that reduces the inplace permeability, a mathematical model that is summarized as problem 1 and I roblem 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.