On the initial value problem for a linear model of well- reservoir coupling

作者： Thierry Cazenave , Analyse Num , Ura Cnrs , Walter de Gruyter

DOI:

关键词: Scheme (mathematics) 、 Linear model 、 Boundary value problem 、 Initial value problem 、 Coupling 、 Oil production 、 Mathematics 、 Semigroup 、 Mathematical analysis

摘要: We consider a linearized model of well-reservoir coupling for monophasic ow, with boundary conditions corresponding to oil production at either given pressure or ow rate. By using the semigroup theory, we show that initial value problem is well-posed and study asymptotic behavior solutions. AMS clsssication scheme numbers:35Q35, 35B10, 35B35, 76S05