The characterization and the understanding of flow properties of rocks and granular media has become an ever-increasing problem in Earth Sciences, Physics, and in many industrial applications including CO2 sequestration, Hydrocarbon migration, ore deposit development, and radioactive waste disposal. One of the main problems is the understanding of flow in transforming porous media, where the rocks and fluid pathways evolve spatially and temporally, for example due to interaction with the flow, or due to compaction of the system. The dynamic feedbacks between flow, destruction of permeability due to compaction or local precipitation, and creation of permeability due to fracturing or decompaction, makes understanding of such systems complex. Such feedbacks between flow of fluids and the porous media (PM) in which they are flowing, are important in both relatively slowly deforming PM such as reservoirs, and in very rapidly evolving porous media such as fluid-filled soils experiencing earthquakes or rapidly flowing grain-fluid mixtures in debris flows. In this session we welcome contributions from a range of fields including field observations, analytical considerations, numerical models and experiments.