Abstract
The nonlinear nature of the hydraulic permeability, as well as the corresponding pressure and displacement fields, in a soft tissue are studied for steady-state permeation. From a two-phase continuum model analytical expressions are derived that can be used with the results from a permeation experiment to determine the dependence of the permeability on the strain. In the process it is found that, because of the compaction of the tissue arising from fluid flow, it is necessary to distinguish between the apparent and intrinsic permeability. The former, which is an averaged quantity, is the permeability usually obtained in permeation studies. However, as shown from the analysis, it can differ substantially from the latter, which is the local permeability in the tissue.
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Holmes, M.H. A theoretical analysis for determining the nonlinear hydraulic permeability of a soft tissue from a permeation experiment. Bltn Mathcal Biology 47, 669–683 (1985). https://doi.org/10.1007/BF02460132
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DOI: https://doi.org/10.1007/BF02460132