The saltpool benchmark problem – numerical simulation of saltwater upconing in a porous medium

摘要: Recently, a series of laboratory experiments was carried out in which typical variable-density flow problem porous medium investigated. A stable layering saltwater below freshwater is affected by the recharge and discharge on top. The were conducted with 1% 10% initial salt-mass fraction contrasts. In this paper, we define mathematical model problem, able to reproduce experimental results within reasonable accuracy. To end, sensitivity respect parameters An inverse modelling leads an appropriate choice definition benchmark problem. It will become clear that, case, transversal dispersion coefficient plays important role. Detailed numerical investigations are reference solutions obtained. For high concentration case very spatial grid resolution using up 16 million points necessary. Error bounds derived for without any priori assumption regularity convergence.