摘要
考虑了三维油藏数值模拟中的动边值问题,对压力方程,给出中心差分格式;对饱和度方程给出隐式迎风差分格式及修正的迎风差分格式,并证明了格式的收敛性.
In this paper, the moving boundary problems in
the simulation of a petroleum basin are considered. Central difference scheme for the pressure
equation, implicit upwind difference scheme and modified implicit upwind scheme for the
concentration equation are given with convergence analysis.The theoretical results are illustrated
by numerical examples.
出处
《高校应用数学学报(A辑)》
CSCD
北大核心
1999年第3期333-340,共8页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家自然科学基金
关键词
数值模拟
迎风差分格式
油藏
动边值问题
Numerical Simulation, Moving Boundary, Upwind Difference
Scheme.