Fluid flow (flux) through porous media is crucial in various industrial processes and natural phenomena, including oil recovery and groundwater filtration. The internal structure of these materials plays a crucial role in determining how fluid flows through them, making their characterization essential for optimization processes. To help achieve this characterization, we use synthetic data and work towards connecting topological properties of these data with flow properties. We utilize topological data analysis, a method that helps us quantify material structure, for this analysis. For more details, see the poster, and the group reports below.