HR: 1340h
AN: H33D-1624    [Abstracts]
TI: Groundwater flow modeling using Lattice Boltzmann models
AU: * Anwar, S
EM: sanwa001@fiu.edu
AF: Earth Sciences, Florida International University, 11200 SW 8th St PC 344 FIU, Miami, FL 33199,
AU: Sukop, M C
EM: sukopm@fiu.edu
AF: Earth Sciences, Florida International University, 11200 SW 8th St PC 344 FIU, Miami, FL 33199,
AB: Lattice Boltzmann (LB) models are used to simulate flow in porous media at scales much larger than pore size. LB-based models for such macroscopic scale porous media flow simulations are an extension of standard LB models. There are at least two alternative approaches for implementing such models. In the first approach the local velocity is altered during the collision step by incorporating an external force, F, equivalent to the damping effect of solid particles in porous media. The porous media can be permeable or impermeable depending upon the external forcing term. The ability to simulate impermeable portions of a domain is validated using the Poiseuille equation for flow between parallel plates. Darcy's law is recovered for different permeability (k) and pressure gradients. Fractured porous media and karst domains with permeable matrix are simulated with this model. A sink term is introduced in LB model to simulate a pumping well and this model is further applied to solve steady state ground water well problems for confined aquifers. Directly solving the ground water flow equation with an LB model by exploiting its ability to solve diffusion equation is another strategy. The second order transient ground water flow equation is analogous to the diffusion equation and mass diffusivity is analogous to hydraulic diffusivity. This diffusion model is used to solve transient ground water problems. The simulated results show an accurate match with analytical solutions of the transient ground water flow equation.
DE: 1828 Groundwater hydraulics
DE: 1829 Groundwater hydrology
DE: 1847 Modeling
SC: Hydrology [H]
MN: 2007 Fall Meeting