Computing and Comparing Effective Properties for Flow and Transport in Computer-Generated Porous Media

Figure 15

Permeability-porosity trend for randomly distributed squares. The full permeability tensor contains nonzero off-diagonal components (absolute values are plotted; however negative and positive quantities are indicated by different symbols) and is diagonalized to obtain the principal permeability components, and . and are related by rotation angle , which is plotted in Figure 16(a). The anisotropic ratio of the principal components is plotted in Figure 16(b).

(a) Full tensor components, in

(b) Diagonalized tensor components, in