Computational Identification of Adsorption and Desorption Parameters for Pore Scale Transport in Random Porous Media Reactive flow at pore scale in random porous media is considered at low Pecklet and Damkoler numbers, and computational identification of unknown adsorption and desorption rates is discussed. The reactive transport is governed by steady state Stokes equations, coupled with convectiondiffusion equation for species transport. The surface reactions, namely adsorption and desorption, are accounted via Robin boundary condition. Finite element approximation in space and implicit time discretization are exploited. Measured concentration of the specie at the outlet of the domain is provided to carry out the identification procedure. The impact of the noise in the measurement on the parameter identification procedure is studied. Stochastic parameter identification approach is adopted. Computational results demonstrating the potential of the considered parameter identification approaches are presented.

Stochastic homogenization of multicontinuum heterogeneous flows We consider a multicontinuum model in porous media applications, which is described as a system of coupled flow equations. The coupling between different continua depends on many factors and its modeling is important for porous media applications. The coefficients depend on particle deposition that is described in term of a stochastic process solution of an SDE. The stochastic process is considered to be faster than the flow motion and we introduce timespace scales to model the problem. Our goal is to pass to the limit in time and space and to find an associated averaged system. This is an averaginghomogenization problem, where the averages are computed in terms of the invariant measure associated to the fast motion and the spatial variable. We use the techniques developed in our previous paper to model the interactions between the continua and derive the averaged model problem that can be used in many applications.