14.11.2013 Views

download pdf version of PhD book - Universiteit Utrecht

download pdf version of PhD book - Universiteit Utrecht

download pdf version of PhD book - Universiteit Utrecht

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

5.2 Network Generation<br />

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .<br />

lated to the pore body radii. Thus, the three networks have different aspect<br />

ratio’s (ratio <strong>of</strong> pore body to pore throat radius). Properties <strong>of</strong> the two porousmedium-specific<br />

networks will be given later.<br />

Figure 5.1: The distribution <strong>of</strong> pore-body radii (columns) together with three<br />

distributions <strong>of</strong> pore-throat radii (R 1, R 2, and R 3) (lines). The mean radii <strong>of</strong><br />

the pore-body and pore-throat distributions are shown above each distribution.<br />

5.2.2 Determination <strong>of</strong> the pore cross section and corner<br />

half angles<br />

A key characteristic <strong>of</strong> real porous media is the angular form <strong>of</strong> pores. It has<br />

been demonstrated that having pores with a circular cross section, and thus<br />

single-phase occupancy, causes insufficient connectivity <strong>of</strong> the wetting phase<br />

and as a result poor representation <strong>of</strong> experimental data [Zhou et al., 2000b].<br />

Angular cross sections retain the wetting fluid in their corner and allow two or<br />

more fluids to flow simultaneously through the same pore. Pores which are angular<br />

in cross section are thus a much more realistic model than the commonly<br />

employed cylindrical shape. In the present work, pore bodies are considered to<br />

be cubic in shape, whereas, pore throats are assigned a variety <strong>of</strong> cross sectional<br />

shapes including circular, rectangular, and scalene triangular.<br />

The shape <strong>of</strong> an angular pore cross section is prescribed in terms <strong>of</strong> a dimensionless<br />

shape factor, G, [Mason and Morrow, 1991] which is defined as<br />

G = A P 2 (5.2)<br />

97

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!