Numerical modeling of water flow below dry salt lakes: effect of capillarity and viscosity

Abstract We investigate numerically the effects of capillarity and viscosity on density-dependent flows below dry salt lakes. The numerical model, MARUN (Boufadel, M.C., Suidan, M.T., Venosa, A.D., 1999a. A numerical model for density-and-viscosity-dependent flows in two-dimensional variably-saturated media. J. Contam. Hydrol., 37, 1–20) is used to assess the combined and separate effects of capillarity and concentration-engendered viscosity on the groundwater dynamics of a two-dimensional system simulating a dry lake. We found that accounting for concentration-engendered viscosity effects under saturated water flow conditions gives totally different groundwater dynamics from the case where these effects are neglected. However, concentration-dependent viscosity effects were minor when unsaturated water flow conditions were present. Under variably-saturated flow conditions, capillarity effects gave totally different hydraulics in the porous domain from the saturated flow case; upwelling regions observed under saturated flow conditions were downwelling when capillarity effects were present. A mesh orientation study revealed that density-dependent flows were susceptible to the orientation of the diagonals of the triangular elements. A discussion on the accuracy and the efficiency of the MARUN model in the context of density- and viscosity-dependent flows in two-dimensional variably-saturated media is also provided.

[1]  R. L. Cooley Some new procedures for numerical solution of variably saturated flow problems , 1983 .

[2]  R. Wooding,et al.  Convection in groundwater below an evaporating Salt Lake: 1. Onset of instability , 1997 .

[3]  Chin-Fu Tsang,et al.  A perspective on the numerical solution of convection‐dominated transport problems: A price to pay for the easy way out , 1992 .

[4]  C. Duffy,et al.  Groundwater circulation in a closed desert basin: Topographic scaling and climatic forcing , 1988 .

[5]  M. Suidan,et al.  Density-dependent flow in one-dimensional variably-saturated media , 1997 .

[6]  R. C. Weast CRC Handbook of Chemistry and Physics , 1973 .

[7]  A. Herbert,et al.  Coupled groundwater flow and solute transport with fluid density strongly dependent upon concentration , 1988 .

[8]  M. Suidan,et al.  A numerical model for density-and-viscosity-dependent flows in two-dimensional variably saturated porous media , 1999 .

[9]  M. Celia,et al.  A General Mass-Conservative Numerical Solution for the Unsaturated Flow Equation , 1990 .

[10]  S. Tyler,et al.  Movement and diffusion of pore fluids in Owens Lake sediments from core OL-92 as shown by salinity and deuterium-hydrogen ratios , 1997 .

[11]  R. Wooding,et al.  Convection in groundwater below an evaporating Salt Lake: 2. Evolution of fingers or plumes , 1997 .

[12]  I. Friedman,et al.  Studies of quaternary saline lakes. III. Mineral, chemical, and isotopic evidence of salt solution and crystallization processes in Owens Lake, California, 1969-1971 , 1987 .

[13]  P. Biswas,et al.  2D Variably Saturated Flows: Physical Scaling and Bayesian Estimation , 1998 .

[14]  S. Majid Hassanizadeh,et al.  On the modeling of brine transport in porous media , 1988 .

[15]  C. Voss,et al.  SUTRA (Saturated-Unsaturated Transport). A Finite-Element Simulation Model for Saturated-Unsaturated, Fluid-Density-Dependent Ground-Water Flow with Energy Transport or Chemically-Reactive Single-Species Solute Transport. , 1984 .

[16]  J. Bear,et al.  The influence of free convection on soil salinization in arid regions , 1996 .

[17]  M. Suidan,et al.  Steady seepage in trenches and dams : Effect of capillary flow , 1999 .

[18]  K. Pruess,et al.  TOUGH2-A General-Purpose Numerical Simulator for Multiphase Fluid and Heat Flow , 1991 .

[19]  Philip D. Meyer,et al.  Parameter Equivalence for the Brooks-Corey and Van Genuchten Soil Characteristics: Preserving the Effective Capillary Drive , 1996 .

[20]  K. Pruess,et al.  TOUGH User's Guide , 1987 .

[21]  J. W. Elder Transient convection in a porous medium , 1967, Journal of Fluid Mechanics.

[22]  C. Oldenburg,et al.  Dispersive Transport Dynamics in a Strongly Coupled Groundwater‐Brine Flow System , 1995 .

[23]  G. B. Allison,et al.  Estimation of evaporation from the normally “dry” Lake Frome in South Australia , 1985 .

[24]  Fred J. Molz,et al.  Variably saturated modeling of transient drainage: sensitivity to soil properties , 1994 .

[25]  G. Pinder,et al.  Computational Methods in Subsurface Flow , 1983 .

[26]  Van Genuchten,et al.  A closed-form equation for predicting the hydraulic conductivity of unsaturated soils , 1980 .

[27]  B. Scanlon,et al.  Field study of spatial variability in unsaturated flow beneath and adjacent to playas , 1997 .

[28]  J. Bowler Spatial variability and hydrologic evolution of Australian lake basins: Analogue for pleistocene hydrologic change and evaporite formation , 1986 .

[29]  W. R. Souza,et al.  Variable density flow and solute transport simulation of regional aquifers containing a narrow freshwater‐saltwater transition zone , 1987 .

[30]  Molly M. Gribb,et al.  PARAMETER ESTIMATION FOR DETERMINING HYDRAULIC PROPERTIES OF A FINE SAND FROM TRANSIENT FLOW MEASUREMENTS , 1996 .

[31]  Gour-Tsyh Yeh,et al.  On the computation of Darcian velocity and mass balance in the finite element modeling of groundwater flow , 1981 .