On the Stability of Pressure and Velocity Computations for Heterogeneous Reservoirs
Are Magnus Bruaset, Bjørn Fredrik Nielsen · SIAM Journal on Applied Mathematics · 1996
This paper is concerned with the stability of self-adjoint second-order elliptic problems with respect to perturbations of the involved coefficient functions. In particular, we study such behaviour for the pressure equation related to incompressible or steady-state flow in a heterogeneous reservoir. We establish analytical estimates on the changes in the pressure and velocity caused by mobility perturbations measured by the $L^\infty $ norm. This stability analysis is complemented by numerical experiments.