Prêmio Marco Antônio Raupp: Tatiana Danelon de Assis (UFJF)

Título: Modeling nanoparticle-stabilized foam flow in porous media: Mathematical analysis and uncertainty quantification

Resumo: Foams have potential applications as mobility-control agents to optimize gas flooding in several subsurface processes such as aquifer remediation, greenhouse carbon storage, and enhanced oil recovery. Experimental studies indicate that their stability and resistance can be enhanced by adding nanoparticles. In this work, we present two new mathematical models for nanoparticle-stabilized foam flow in porous media. The first assumes foam at local equilibrium and is governed by a non-strictly hyperbolic system of conservation laws, for which we provide a global analytical solution, enabling efficient sensitivity and uncertainty analyses. We also discuss the most favorable conditions for observing nanoparticle effects in laboratory experiments. The second model incorporates foam texture, nanoparticle retention, and the resulting permeability reduction. For this more complex case, we present a steady-state semi-analytical solution, used to investigate how suspended nanoparticle loss and reduced permeability influence foam flow.