Abstract. In this paper we discuss some numerical procedures involved in dynamic data driven simulations (DDDAS). The main objective of this paper is the recovery of the initial data as well as the media properties based on dynamic data. We consider the contaminant transport in porous media with a number of sensors placed at some locations. Based on measured data we propose to recover the permeability field that characterizes the porous media as well as initial data. Our approaches use Markov chain Monte Carlo methods. Numerical examples are presented.
Keywords. MCMC, DDDAS
AMS Subject Classification. Primary 65N99