HR: 1340h
AN: H33A-1369 [Abstracts]
TI: An Air-water Interfacial Area Based Variable Tortuosity Model for Unsaturated Sands
AU: * Khaleel, R
EM: raziuddin_khaleel@rl.gov
AF: Fluor Government Group, P.O. Box 1050, Richland, WA 99352
United States
AU: Saripalli, P
EM: prasad.saripalli@pnl.gov
AF: Pacific Northwest National Laboratory, P.O. Box 999, Richland, WA 99354
United States
AB:
A new variable tortuosity definition is introduced that is based on the immiscible fluid (air-water) interfacial area.
Unsaturated media tortuosity (τa) is defined as the ratio of aaw to aaw,o where aaw is the estimated
air-water interfacial area in a real unsaturated medium (i.e., a soil sample), and aaw,o is the same variable for the
corresponding, idealized capillary bundle. We establish equivalence between the real and the idealized media by letting the
laboratory-measured retention curve calculate the distribution of capillary tubes, thereby resulting in an identical
pore-size distribution but a new retention curve for the idealized medium. The air-water interfacial area for both real and
idealized media is directly proportional to the area under their respective retention curves. With τ being the saturated
tortuosity, we relate the variable tortuosity ratio (ττa) to the Seε term in Mualem's
(ε=0.5) and Burdine's (ε=2) pore-size distribution models. Thus, instead of using tortuosity and/or pore
connectivity formulations that have empirical exponents of either 0.5 or 2, the new model depends on variable interfacial
area for varying saturation and soil texture, as reflected in the measured retention data. We tested the new definition of
tortuosity for 22 repacked Hanford sediments that are comprised of mostly coarse and fine sands but some also contain a
sizeable fraction (as high as 27%) of fines (silt and clay). Replacing the Se2 term in van Genuchten-Mualem (VGM)
model by the new interfacial area based variable tortuosity ratio, and still using saturated conductivity and retention
parameters, as used in the conventional approach, we obtain interfacial area based K(θ) predictions that are nearly
identical to the conventional VGM model predictions. We also compare the interfacial area based K(θ) predictions with
the standard Brooks-Corey-Burdine (BCB) model predictions. Compared to the VGM model predictions, interfacial area based BCB
K(θ) predictions appear to be less biased relative to the measured K for the coarse-textured samples.
DE: 1838 Infiltration
DE: 1866 Soil moisture
DE: 1875 Vadose zone
SC: Hydrology [H]
MN: Fall Meeting 2005