We present spatial distributions for pore path length and coordination number, pore throat size and nodal pore volume obtained for a 1:53 mm3 volume of 12.1% porosity Fontainebleau sandstone. The sandstone was imaged using Synchrotron X-Ray computed microtomography at 6 micron resolution. The spatial distributions were computed based upon three dimensional medial axis analysis of the void space...

A two-dimensional micro-scale model for crystal dissolution and precipitation in a porous medium is presented. The local geometry of the pore is represented as a thin strip. The model allows for changes in the pore volume. A formal limiting argument leads to a system of 1D effective upscaled equations. The effective equations allow for travelling wave solutions. Existence and uniqueness of thes...

A new algorithm for volume tracking which is based on the concept of flux-corrected transport (FCT) is introduced. It is applicable to incompressible 2D flow simulations on finite volume and difference meshes. The method requires no explicit interface reconstruction, is direction-split and can be extended to 3D and orthogonal curvilinear meshes in a straightforward manner. A comparison of the n...

The paper is devoted to the homogenization of porous piezoelectric materials saturated by electrically inert fluid. The solid part of a representative volume element consists of the piezoelectric skeleton with embedded conductors. The pore fluid in the periodic structure can constitute a single connected domain, or an array of inclusions. Also the conducting parts are represented by several mut...