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A Solute Flux Approach to Transport through Bounded, Unsaturated Heterogeneous Porous Media

^a Center for Nuclear Waste and Regulatory Analyses, Southwest Research Institute, 6220 Culebra Road, San Antonio, TX 78238
^b EES-6, Los Alamos National Laboratory, Los Alamos, NM 87545

View larger version (14K): [in a new window]   Fig. 1. The effect of a water table boundary. The tavel time variance, 2 for 2a = 1 x 10–6, 5 x 10–6, and 1 x 10–5. The upper plot shows the case where the boundary effect is considered and for comparison the lower plot shows the case of gravity-dominated flow.

View larger version (15K): [in a new window]   Fig. 2. The effect of a water table boundary. The transverse displacement variance, 2 for 2a = 1 x 10–6, 5 x 10–6, and 1 x 10–5. (See Table 1 for other parameter values).

View larger version (13K): [in a new window]   Fig. 3. Mean head profiles for q0 = 0.01 and 0.001 cm d–1.

View larger version (14K): [in a new window]   Fig. 4. Moments of the solute flux along the transverse direction.

View larger version (14K): [in a new window]   Fig. 5. Solute flux statistics as a function of time.

View larger version (13K): [in a new window]   Fig. 6. Cumulative solute flux statistics.

View larger version (30K): [in a new window]   Fig. 7. Plot of mean transverse displacement along the vertical axis when a high-conductivity block exists in less permeable background material. The mean lnKs of the background material is –3.0. (a) Case I for <lnKs> = 1.5, (b) Case II for <lnKs> = –1.0. Other parameter values are given in Table 2.

View larger version (20K): [in a new window]   Fig. 8. Comparison of the mean and standard deviations of the solute breakthrough curves for Cases I and II.

View larger version (18K): [in a new window]   Fig. 9. Plots of the solute breakthrough curves along a control plane for Cases I and II.