A porous system has distinct macroscopic proprieties that are very different from those of a nonporous matrix. There has been much interest in clarifying such characteristics. In the present study, a two-dimensional buffer layer finite element method (FEM) model was developed to investigate the porosity effect on macroscopic elasticity without introducing assumptions or approximations. Buffer layers, introduced at the periphery of porous objects, were found to be effective in neutralizing irregularities caused by the boundary discontinuity. It is noted that the background concept of the buffer layer is similar to that of the window method used in many FEM analyses. In terms of the buffer layer FEM model, the porosity effect was systematically analyzed while considering anisotropy by changing the degree of porosity, aspect ratio of the pore, and elasticity of the matrix. Consequently, various systematic relations were found for two-dimensional porosity effects. The relations are helpful in characterizing two-dimensional cracks in a laboratory rock compression test. The two-dimensional relations were further extended to three-dimensional relationships to compare the present results with the results from previous models.
ASJC Scopus subject areas
- Geochemistry and Petrology
- Earth and Planetary Sciences (miscellaneous)
- Space and Planetary Science