Speaker
Description
Flow-induced compaction of deformable porous media is characteristically non-uniform due to gradients in the fluid pressure. This talk explores the constitutive laws for effective pressure and permeability, which encode the rheology of the solid matrix, and identifies two ‘types’ of media based on the compaction behaviour in the limit of large applied fluid pressure drop. This classification of types is found to be intrinsically linked to the well-known poro-elastic diffusivity. Industrial and geographical applications motivate the consideration of porous media that naturally slump due to gravitational stresses, the significance of which is captured by a non-dimensional gravity term that quantifies the relative importance of gravitational and elastic stresses. The asymmetry between upwards and downwards flow results in distinct behaviour, with upwards flow initially rearranging gravitational compaction and maintaining a fixed depth before eventually inducing bulk compaction, in contrast to downwards flow. Further, if a medium is mechanically compressed between two plates, as is the case in various industrial processes, then it takes up an external load which must be relieved before any bulk flow-induced compaction can occur. In particular, in this ‘pre-strained’ state, the flow can compact some regions and decompact others, such that the overall depth remains fixed which is only possible for upwards flow in the un-pre-strained regime. This talk explores how the interplay of flow-induced, gravitational and mechanical compaction affects soft porous media, with implications for both industrial and geological processes.
| Country | United Kingdom |
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