Abstract: Understanding fluid movement in multi-pored materials is vital for energy security and physiology. For instance, shale (a geological material) and bone (a biological material) exhibit multiple pore networks. Double ...

Abstract: Abstract. This article serves as a tutorial on backward-in-time uniqueness for evolutionary systems and presents an effective approach to establish such uniqueness. The article begins by defining backward-in-time uniqueness ...

Abstract: In this paper, the flow of an incompressible fluid in a deformable porous solid is considered. A mathematical model using the framework offered by the theory of interacting continua is presented. In its most general form, ...

Abstract: Geomaterials such as vuggy carbonates are known to exhibit multiple spatial scales. A common manifestation of spatial scales is the presence of (at least) two different scales of pores with different hydromechanical ...

Abstract: Many natural and human-made material systems (e.g., bone, shale, and cement-based composites) exhibit heterogeneous microstructures. Lattice models have reemerged to simulate such material systems because of their ...