EXH0325020514

PCHBPollution Control Hearings Board of the State of Washington

Theory o£ solute transport in variably saturated porous media 2 Advection 3 Hydrodynamic dispersion ............ 3 Source�Sink terms 6 Fluid sources and sinks '_ " 6 Decay, adsorption, and ion exchange ............. 6 Boundary conditions I0 Numerical implementation II Spatial discretization 12 Temporal discretization 14 Source/Sink terms 17 Boundary and initial conditions 18 Mass balance 19 Computer program 19 Program structure 19 Instructions for data input 20 Considerations in discretization 34 Model Verification and example problems 35 Verification problem 1 36 Verification problem 2......... 37 Verification problem 3 38 Verification problem 4 41 Verification problem 5 43 Example Problem 45 Summary 62 References 62 Supplemental information 64 Modifications to computer program VS2D 64 Program listing 68 Program flow chart--- 124 FIGURES Page Figure I. Schematic diagram showing effects of advection and dispersion of a tracer through a column of porous media .... 4 2. Schematic diagram showing spreading of flow paths 4 3. Graph showing examples of isotherms: A) Freundlich, B) Linear, and C) Langmuir 8 4. Sketch showing finite-difference grid II 5. Graph showing results of first verification problem: Analytical solution of Hsieh (1986) and numerical solution of VS2DT ...................... 37 6. Graph showing analytical and numerical results of second verification problem at 7,200 seconds 38 7. Graph showing results of third verification problem, , moisture content versus depth for VS2DT and _ van Genuchten (1982) 40 iii AR 020515 Page Figure 8. Graph showing results of third verification problem, concentration versus depth for VS2DT (centered-in-time ._. and centered-in-space…
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