In this talk, Professor Nezhad will explore how the heterogeneity of natural and industrial porous systems influences multi-physics processes, particularly in relation to flow dynamics, transport phenomena, and mechanical responses. A key focus will be on the impact of spatial heterogeneity and temporal fluctuations on the uncertainty of flow fields in porous media, with an emphasis on the challenges posed by non-linear flow regimes where conventional modelling assumptions break down. Recent advances in incorporating material heterogeneity into multi-physics simulations will be reviewed, highlighting new approaches for capturing transient flow variations, non-Darcian behaviour, and complex feedback mechanisms. The lecture will also introduce state-of-the-art techniques for uncertainty quantification, discussing how stochastic variability propagates across scales and how emerging computational methods can enhance the reliability of porous media models. By integrating theoretical insights with computational and experimental advances, this talk aims to provide a deeper perspective on tackling the challenges of uncertainty, non-linearity, and multi-scale complexity in porous systems.
