Research Article

Analytical Solutions for Characterizing Fluid Flow through Sand-Pack in Pipes

Table 1

Pressures that are measured in COMSOL and the calculated permeability.

Inner radius of the pipe (R, m)Average pressure at the inlet surface (pin, MPa)Average pressure at the outlet surface (pout, MPa)Equivalent permeability (ke, mD)

0.00102021.3 × 10−61.5582 × 10−65014975.985
0.00251287.7 × 10−60.6038 × 10−67869619.177
0.00631103.2 × 10−60.2497 × 10−69183511.206
0.01581041.4 × 10−60.1566 × 10−69727750.627
0.03981015.4 × 10−60.3740 × 10−69979012.383
0.10001012.9 × 10−60.5749 × 10−610005636.16