摘要
低渗透油藏开采过程中,流体的渗流偏离达西定律,并且流体流动边界不断向外扩展,在动边界未到达的地方,油层仍处于静止状态。这些特殊现象都使得低渗透油田的地层压力分布、井底压力分布等有别于中高渗透油田,具有自身的特点。在动边界上引入合理的Stefan条件,建立了带Stefan条件的动边界模型,将动边界问题理论解的存在唯一性转化为讨论某一积分变换的不动点问题;利用Schauder不动点定理和极值原理证明了积分变换不动点是存在且唯一的。对低渗透油藏开发过程中的渗流计算与数值模拟具有一定的应用价值。
In the development of the low permeability reservoir, fluid flow through low-permeability media deviates from Darcy law and the moving boundary expands outwards constantly. Where moving border does not reach, the reservoir keeps still. All these make strata pressure distribution and bottom-hole pressure distribution different from that of medium-high permeability reservoir, a new moving boundary model with Stefan condition is set up in this paper. After turning the existence and uniqueness of the moving boundary problem into fixed point problem of a integral transformations, Schauder fixed point theorems and extreme value principle are utilized to prove the existence and uniqueness of the model. There are some value to calculation and numerical simulation in the development of low permeability reservoir.
出处
《西南石油大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2007年第5期172-176,共5页
Journal of Southwest Petroleum University(Science & Technology Edition)
关键词
低渗透油藏
非达西渗流
动边界问题
不动点定理
极值原理
模型
low-permeability reservoir
Non-Darcy flow
moving-boundary problem
schauder fixed point theorem
extreme value principle
