Estimation of uncertainties in the density driven flow in fractured porous media using MLMC
Dmitry Logashenko,
Alexander Litvinenko,
Raul Tempone
et al.
Abstract:We use the Multi Level Monte Carlo method to estimate uncertainties in a Henry-like salt water intrusion problem with a fracture. The flow is induced by the variation of the density of the fluid phase, which depends on the mass fraction of salt. We assume that the fracture has a known fixed location but an uncertain aperture. Other input uncertainties are the porosity and permeability fields and the recharge. In our setting, porosity and permeability vary spatially and recharge is time-dependent. For each real… Show more
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