注水井地层伤害压力偏微分方程模型及求解  

A PDE model and its solution about the stratum hurting in the water injection well

作　　者：袁达明[1] 李俊山[2] 雷呈凤[1] 

机构地区：[1]南昌航空大学,江西南昌330063 [2]辽河油田兴隆台采油厂集输大队,盘锦124209

出　　处：《南昌航空大学学报（自然科学版）》2008年第1期23-26,共4页Journal of Nanchang Hangkong University(Natural Sciences)

摘　　要：建立注水井地层伤害二维抛物型偏微分方程新模型,并进一步化简为带间断系数的抛物型方程初边值问题。考虑到差分方程解的收敛性,采用积分关系法建立其差分格式,并指出此模型在油田注水开发中的一些应用。A new model of describing the stratum hurting in the water injection well is established by using two dimensional parabolic partial different equations, and then, its initial and boundary value problems with discontinuity coefficient are obtained by simplifying. Based on the convergence of the solution of the difference equations, we construct difference scheme by applying integration - relation method. Finally, some applications of the model are given.

关 键 词：地层伤害 抛物型偏微分方程 差分方程 

分 类 号：O241.8[理学—计算数学]