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longitudinal dispersion in nonuniform isotropic porous media

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106<br />

Water <strong>in</strong> the column experiments and the capillary dra<strong>in</strong>age<br />

measurements comes under tensile stress. To m<strong>in</strong>imize the formation of<br />

bubbles <strong>in</strong> the fluid, all water used <strong>in</strong> these experiments 1S de-aerated<br />

under vacuum for about 30 m<strong>in</strong>utes. S<strong>in</strong>ce several hundred liters of<br />

water are needed for the column experiments, a battery of 11, 19-1iter<br />

glass jugs are connected <strong>in</strong> series to a vacuum l<strong>in</strong>e for de-aeration.<br />

The de-aerated water 1S siphoned from the jugs <strong>in</strong>to the supply<br />

reservoirs to m<strong>in</strong>imize air entra<strong>in</strong>ment while transferr<strong>in</strong>g the water.<br />

Procedures for the capillary dra<strong>in</strong>age measurements follow those<br />

given by Vomocil (1965). The Buchner funnel's <strong>porous</strong> disc is saturated<br />

by submerg<strong>in</strong>g the funnel 1n de-aerated water overnight and then draw<strong>in</strong>g<br />

water through the funnel and tub<strong>in</strong>g by us<strong>in</strong>g a vacuum pump. The<br />

saturated Buchner funnel, tub<strong>in</strong>g, and burette assembly are mounted<br />

vertically as shown <strong>in</strong> Figure 4.8. Before putt<strong>in</strong>g sand <strong>in</strong>to the sample<br />

cyl<strong>in</strong>der, the system is calibrated for any plate dra<strong>in</strong>age or tub<strong>in</strong>g<br />

collapse by runn<strong>in</strong>g through the entire series of suction heads and<br />

not<strong>in</strong>g the dra<strong>in</strong>age <strong>in</strong>to the burette. A 600-700g sample of the <strong>porous</strong><br />

medium 1S stirred <strong>in</strong>to the de-aerated water to completely saturate the<br />

sand. The sand and water mixture is then poured <strong>in</strong>to the sample<br />

cyl<strong>in</strong>der <strong>in</strong> the Buchner funnel. The saturated sample 1S compacted by a<br />

hand-held vibrator until the pack<strong>in</strong>g is at equilibrium. Excess water<br />

is poured of the funnel while hold<strong>in</strong>g the sample <strong>in</strong> place. By lower<strong>in</strong>g<br />

the burette, a tension is applied to the sample and water dra<strong>in</strong>s <strong>in</strong>to<br />

the burette until equilibrium is reached. Due to the water dra<strong>in</strong><strong>in</strong>g<br />

<strong>in</strong>to the burette, the burette must be lowered as it fills to ma<strong>in</strong>ta<strong>in</strong> a

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