Pore‐scale modeling of dissolution from variably distributed nonaqueous phase liquid blobs

Contamination of groundwater by nonaqueous phase liquids (NAPLs) is widely recognized as a serious environmental problem. Predicting the dissolution, fate, and transport of these organic chemicals in the subsurface is challenging because geological heterogeneity exists at numerous scales. To better understand heterogeneity at the pore scale, we use the lattice Boltzmann (LB) method to simulate water flow and solute transport from distributed NAPL blobs in a two-dimensional porous media. The LB method approximates the momentum and mass transport equations at the pore scale, easily incorporating complex boundary conditions of the porous media. The effects of NAPL blob configuration and Peclet number (Pe) on steady state mass transfer are studied at 7% and 15% NAPL saturation. We find that the solute flux out of the simulated system decreases substantially as the transverse length over which NAPL blobs are distributed decreases; for example, the solute flux is reduced by a factor of 2 by confining the NAPL blobs to only half of the transverse length. Values of Sherwood numbers determined from our simulations are slightly less than values determined from previously published mass transfer correlations. Our results indicate that pore-scale NAPL configuration significantly affects mass transfer and that correlations should be modified to account for it. We find that the dimensionless mass transfer coefficient increases with Pe for the values used in our simulations, where the rate of increase decreases with increasing Pe. We observe that much of the variability in computed mass transfer coefficients is accounted for by differences in the NAPL-water interfacial area at high Pe. However, at lower Pe, variability remains due to NAPL configuration.

[1]  M. Blunt,et al.  A functional relation for field-scale nonaqueous phase liquid dissolution developed using a pore network model. , 2001, Journal of contaminant hydrology.

[2]  Susan E. Powers,et al.  An experimental investigation of nonaqueous phase liquid dissolution in saturated subsurface systems: Transient mass transfer rates , 1992 .

[3]  Gladden,et al.  Magnetic Resonance Imaging Study of the Dissolution Kinetics of Octanol in Porous Media. , 1999, Journal of colloid and interface science.

[4]  George F. Pinder,et al.  An experimental study of complete dissolution of a nonaqueous phase liquid in saturated porous media , 1994 .

[5]  P. Bhatnagar,et al.  A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems , 1954 .

[6]  W. E. Soll,et al.  Pore scale study of flow in porous media: Scale dependency, REV, and statistical REV , 2000 .

[7]  Adrian E. Scheidegger,et al.  The physics of flow through porous media , 1957 .

[8]  J. Cherry,et al.  Transport of organic contaminants in groundwater. , 1985, Environmental science & technology.

[9]  D. Noble Lattice Boltzmann Study of the Interstitial Hydrodynamics and Dispersion in Steady Inertial Flows in Large Randomly Packed Beds , 1997 .

[10]  Yannis C. Yortsos,et al.  Advective mass transfer from stationary sources in porous media , 1999 .

[11]  Shiyi Chen,et al.  LATTICE BOLTZMANN METHOD FOR FLUID FLOWS , 2001 .

[12]  J. Friedly,et al.  Local reaction and diffusion in porous media transport models , 2000 .

[13]  Anthony J. C. Ladd,et al.  Moderate Reynolds number flows through periodic and random arrays of aligned cylinders , 1996, Journal of Fluid Mechanics.

[14]  Yannis C. Yortsos,et al.  Visualization and simulation of non-aqueous phase liquids solubilization in pore networks , 1999 .

[15]  D. Sabatini,et al.  Effects of flow bypassing and nonuniform NAPL distribution on the mass transfer characteristics of NAPL dissolution , 1998 .

[16]  Shiyi Chen,et al.  Lattice Boltzmann computational fluid dynamics in three dimensions , 1992 .

[17]  Robert S. Bernard,et al.  Accuracy of the Lattice-Boltzmann Method , 1997 .

[18]  Shiyi Chen,et al.  Simulation of Cavity Flow by the Lattice Boltzmann Method , 1994, comp-gas/9401003.

[19]  H. Stockman,et al.  A lattice gas study of retardation and dispersion in fractures: Assessment of errors from desorption kinetics and buoyancy , 1997 .

[20]  Cass T. Miller,et al.  Dissolution of Trapped Nonaqueous Phase Liquids: Mass Transfer Characteristics , 1990 .

[21]  J. Geller,et al.  Mass Transfer From Nonaqueous Phase Organic Liquids in Water-Saturated Porous Media. , 1993, Water resources research.

[22]  Chen,et al.  Simulation of multicomponent fluids in complex three-dimensional geometries by the lattice Boltzmann method. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[23]  Cass T. Miller,et al.  Multiphase flow and transport modeling in heterogeneous porous media: challenges and approaches , 1998 .

[24]  David R. Noble,et al.  A consistent hydrodynamic boundary condition for the lattice Boltzmann method , 1995 .

[25]  T. Phelan,et al.  Dissolution of residual tetrachloroethylene in fractional wettability porous media: correlation development and application , 2000 .

[26]  W. Lennox,et al.  A pore-scale investigation of mass transport from dissolving DNAPL droplets , 1997 .

[27]  T. Sale,et al.  Steady state mass transfer from single‐component dense nonaqueous phase liquids in uniform flow fields , 2001 .

[28]  Michael A. Celia,et al.  Pore‐scale modeling and upscaling of nonaqueous phase liquid mass transfer , 2001 .

[29]  Vivek Kapoor,et al.  Transport in three-dimensionally heterogeneous aquifers: 1. Dynamics of concentration fluctuations , 1994 .

[30]  Martin J. Blunt,et al.  Development of a pore network simulation model to study nonaqueous phase liquid dissolution , 2000 .