Theoretical modeling of fluid-solid coupling in porous materials

This chapter presents a unifying theoretical model for describing fluid-solid coupling in porous materials. It proceeds by forming a variety of cellular solid systems without fluid and subjects these systems to numerical testing to determine their elastic response. From these numerical tests, the elastic tensor of the cellular solid can be determined, the results are reported. The chapter then turns to the mechanical response of the cellular solid to fluids that are free of applied stresses, have an empty pore space, and are driven by fluid that resides in the skeleton. It discusses the study of the mechanical response of cellular solids that are free of applied stresses, have a pore space that is filled with elastically isotropic material, and are driven by fluid that resides in the pore filling.