Reconstructing random media. II. Three-dimensional media from two-dimensional cuts

@article{citeulike:2208775, abstract = {We report on an investigation concerning the utilization of morphological information obtained from a two-dimensional (2D) slice (thin section) of a random medium to reconstruct the full three-dimensional (3D) medium. We apply a procedure that we developed in an earlier paper that incorporates any set of statistical correlation functions to reconstruct a Fontainebleau sandstone in three dimensions. Since we have available the experimentally determined 3D representation of the sandstone; we can probe the extent to which intrinsically 3D information (such as connectedness) is captured in the reconstruction. We considered reconstructing the sandstone using the two-point probability function and lineal-path function as obtained from 2D cuts (cross sections) of the sample. The reconstructions are able to reproduce accurately certain 3D properties of the pore space; such as the pore-size distribution; the mean survival time of a Brownian particle; and the fluid permeability. The degree of connectedness of the pore space also compares remarkably well with the actual sandstone. However; not surprisingly; visualization of the 3D pore structures reveals that the reconstructions are not perfect. A more refined reconstruction can be produced by incorporating higher-order information at the expense of greater computational cost. Finally; we remark that our reconstruction study sheds light on the nature of information contained in the employed correlation functions.}, author = {Yeong, C. L. Y. and Torquato, S. }, citeulike-article-id = {2208775}, doi = {10.1103/PhysRevE.58.224}, journal = {Physical Review E}, keywords = {properties, reconstruction}, month = {July}, number = {1}, pages = {224+}, posted-at = {2008-03-27 08:25:54}, priority = {2}, publisher = {American Physical Society}, title = {Reconstructing random media. II. Three-dimensional media from two-dimensional cuts}, url = {http://dx.doi.org/10.1103/PhysRevE.58.224}, volume = {58}, year = {1998} }

TY - JOUR ID - citeulike:2208775 L3 - citeulike-article-id:2208775 TI - Reconstructing random media. II. Three-dimensional media from two-dimensional cuts JF - Physical Review E VL - 58 IS - 1 SP - 224 PB - American Physical Society N2 - We report on an investigation concerning the utilization of morphological information obtained from a two-dimensional (2D) slice (thin section) of a random medium to reconstruct the full three-dimensional (3D) medium. We apply a procedure that we developed in an earlier paper that incorporates any set of statistical correlation functions to reconstruct a Fontainebleau sandstone in three dimensions. Since we have available the experimentally determined 3D representation of the sandstone; we can probe the extent to which intrinsically 3D information (such as connectedness) is captured in the reconstruction. We considered reconstructing the sandstone using the two-point probability function and lineal-path function as obtained from 2D cuts (cross sections) of the sample. The reconstructions are able to reproduce accurately certain 3D properties of the pore space; such as the pore-size distribution; the mean survival time of a Brownian particle; and the fluid permeability. The degree of connectedness of the pore space also compares remarkably well with the actual sandstone. However; not surprisingly; visualization of the 3D pore structures reveals that the reconstructions are not perfect. A more refined reconstruction can be produced by incorporating higher-order information at the expense of greater computational cost. Finally; we remark that our reconstruction study sheds light on the nature of information contained in the employed correlation functions. KW - properties KW - reconstruction AU - Yeong, CLY AU - Torquato, S PY - 1998/07// UR - http://dx.doi.org/10.1103/PhysRevE.58.224 ER -