Parameter Estimation for Multiphase Porous Media Systems

by Michael A. Celia, MIT, United States,
Lin A. Ferrand, MIT, United States,



Document Type: Proceeding Paper

Part of: Hydraulic Engineering

Abstract:

Parameter estimation for multiphase flow in porous media involves estimation of nonlinear functional relationships. These include the capillary pressure - saturation relation and the relative permeability - saturation relation. Network models, which provide a topologically complex yet mathematically tractable description of the pore space of a porous medium, can be used to model basic fluid physics at the pore scale. Aggregation over many pores then allows the capillary pressure - saturation relation to be derived. The key parameters to be estimated in the network model are probability distributions that describe the pore sizes.



Subject Headings: Groundwater pollution | Porous media flow | Aggregates | Parameters (statistics) | Pollutants

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