A non-linear inverse problem of estimating the functional pore size distribution of porous media using non-newtonian fluids

  • Date:
  • Time: 14:00 - 15:30
  • Address:
    Sokolovská 83, Praha
  • Room: K1
  • Speaker: Martin Lanzendörfer

We will review two recent methods of non-Newtonian porosimetry, both based on an intuitive capillary bundle idealisation of porous media for a saturated flow of non-Newtonian fluids. One is using the yield stress fluid rheology (the yield stress method, YSM), the other one is using the shear-thinning fluid model (method by Abou Najm and Atallah, the ANA method), but both methods are based on the same principles (and are even using the same real fluid in practical implementation). The non-linear response of the fluid may allow for a set of flow experiments (observations) with varying distribution of the total flux among pores of different size. An inverse problem can be invoked in order to estimate the pore size distribution from the observed total fluxes.