This lesson covers the concept of flow through a deformable porous medium, focusing on varying porosity and the concept of stress and pore pressure. It explains how deformation occurs due to compressive stress and the flow of fluid due to gradient in pore pressure. The lesson also discusses the conservation of mass for both solid and liquid constituents in the porous medium. It introduces the concept of composite velocity, which is the weighted average of solid and liquid velocities. The lesson further explains Darcy's law in the context of deformable porous media and how it relates to the relative velocity of liquid with respect to solid velocity. It concludes with the discussion on how permeability and excess stress change with the change in solid volume fraction.

- In a deformable porous medium, deformation occurs due to compressive stress and the flow of fluid happens due to gradient in pore pressure.
- The conservation of mass for both solid and liquid constituents in the porous medium is crucial in understanding the flow through the medium.
- The concept of composite velocity, which is the weighted average of solid and liquid velocities, is significant in the study of deformable porous media.
- Darcy's law plays a vital role in understanding the relative velocity of liquid with respect to solid velocity in a deformable porous medium.
- The change in permeability and excess stress with the change in solid volume fraction is an important aspect of the study of flow through deformable porous media.

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