HR: 1340h
AN: H53E-1465    [Abstracts]
TI: Analytical and Lattice Boltzmann Predictions of Intrinsic Permeability for Deterministic and Randomized Fractal Porous Media
AU: * Cihan, A
EM: acihan@utk.edu
AF: Biosystems Engineering and Soil Science, 2506 E. J. Chapman Dr. Biosystems Eng. and Soil Science The University of Tennessee, Knoxville, TN 37996-4531, United States
AU: Tyner, J S
EM: jtyner@utk.edu
AF: Biosystems Engineering and Soil Science, 2506 E. J. Chapman Dr. Biosystems Eng. and Soil Science The University of Tennessee, Knoxville, TN 37996-4531, United States
AU: Perfect, E
EM: eperfect@utk.edu
AF: Department of Earth and Planetary Sciences, Department of Earth and Planetary Sciences, University of Tennessee, Knoxville, TN 37996-1410, United States
AU: Sukop, M
EM: sukopm@fiu.edu
AF: Department of Earth Sciences, Department of Earth Sciences, PC 344, University Park, 11200 SW 8th Street, Miami, FL 33199, United States
AU: Haibo, H
EM: huangh@fiu.edu
AF: Department of Earth Sciences, Department of Earth Sciences, PC 344, University Park, 11200 SW 8th Street, Miami, FL 33199, United States
AB: The Menger sponge is a three-dimensional mass fractal that provides a good approximation of the pore space geometry of natural porous media. We present new analytical expressions for the intrinsic permeability (k) of both classical (deterministic) and randomized sponges. The analytical expressions are compared with estimates of k derived from Lattice Boltzmann simulations of saturated water flow in classical and randomized Menger sponges. Analytical model results compared favorably with Lattice Boltzmann simulations of k for deterministic and random Menger Sponges. However, Lattice Boltzmann simulations showed that the mean k from 100 realizations of randomized sponges was 50% less than the k of the deterministic sponge. Likewise, the analytical model predicted the k of randomized sponges were 87% less than that of deterministic sponges.
DE: 1829 Groundwater hydrology
DE: 1847 Modeling
DE: 1849 Numerical approximations and analysis
DE: 4440 Fractals and multifractals
DE: 5114 Permeability and porosity
SC: Hydrology [H]
MN: 2007 Fall Meeting