Non-gaussian diffusion modeling in composite porous media by homogenization: Tail effect Export

@article{citeulike:3199875, abstract = {In the paper anomalous diffusion appearing in a porous medium composed of two porous components of considerably different diffusion characteristics is examined. The differences in diffusivities are supposed to result either from two medium types being present or from variations in pore size (double porosity media). The 'long-tail' effect is predicted using the homogenization approach based on the application of multiple scale asymptotic developments. It is shown that, if the ratio of effective diffusion coefficients of two porous media is of the order of magnitude smaller or equal O(e2), wheree is a homogenization parameter, then the macroscopic behaviour of the composite may be affected by the presence of 'tail-effect'. The results of the theoretical analysis were applied to a problem of diffusion in a bilaminate composite. Analytical calculations were performed to show the presence of the 'long-tail' effect in two particular cases.}, author = {Auriault, Jean and Lewandowska, Jolanta}, citeulike-article-id = {3199875}, citeulike-linkout-0 = {http://dx.doi.org/10.1007/BF00615334}, day = {1}, doi = {10.1007/BF00615334}, journal = {Transport in Porous Media}, keywords = {brain, diffusion}, month = {October}, number = {1}, pages = {47--70}, posted-at = {2008-09-06 18:55:26}, priority = {2}, title = {Non-gaussian diffusion modeling in composite porous media by homogenization: Tail effect}, url = {http://dx.doi.org/10.1007/BF00615334}, volume = {21}, year = {1995} }

TY - JOUR ID - citeulike:3199875 L3 - citeulike-article-id:3199875 N2 - In the paper anomalous diffusion appearing in a porous medium composed of two porous components of considerably different diffusion characteristics is examined. The differences in diffusivities are supposed to result either from two medium types being present or from variations in pore size (double porosity media). The ‘long-tail’ effect is predicted using the homogenization approach based on the application of multiple scale asymptotic developments. It is shown that, if the ratio of effective diffusion coefficients of two porous media is of the order of magnitude smaller or equal O(e2), wheree is a homogenization parameter, then the macroscopic behaviour of the composite may be affected by the presence of ‘tail-effect’. The results of the theoretical analysis were applied to a problem of diffusion in a bilaminate composite. Analytical calculations were performed to show the presence of the ‘long-tail’ effect in two particular cases. IS - 1 JF - Transport in Porous Media EP - 70 TI - Non-gaussian diffusion modeling in composite porous media by homogenization: Tail effect VL - 21 SP - 47 KW - brain KW - diffusion AU - Auriault, Jean AU - Lewandowska, Jolanta PY - 1995/10/01/ UR - http://dx.doi.org/10.1007/BF00615334 ER -