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Use of Reactive-Transport Models in Field Studies: Experience with the PHAST Simulator David Parkhurst and Ken Kipp U.S. Geological Survey Denver, CO
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Topics The PHAST Simulator Field Studies –Arsenic in the Central Oklahoma Aquifer –ASR in Charleston, SC –Phosphorus at Cape Cod, MA B-Z oscillating reactions Summary
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PHAST 3D Reactive-Transport Simulator HST3D—Flow and transport PHREEQC—Chemistry Operator splitting—Sequential Non-Iterative Approach Chemistry Transport Flow Chemistry Transport Flow
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Flow and Transport Point-distributed finite-difference grid Boundary conditions –Flux –Leaky –Specified value –River –Well Constant temperature Constant density
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Chemistry Ion-association or Pitzer aqueous model Mineral equilibrium Surface complexation Ion exchange Solid solutions Kinetics –Explicit ODE (Runge-Kutta) –Implicit ODE (CVODE)
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Parallelization Single processor: Flow and transport Multiple processors: Chemistry Data passed using MPI 10-30 processors Model grids up to 200,000 nodes 1-100 hours of clock time Allows field-scale modeling Transport Flow Transport Flow Chemistry Cells
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Arsenic in the Central Oklahoma Aquifer Arsenic mostly in confined part of aquifer Arsenic associated with high pH Flow: unconfined to confined back to unconfined
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Arsenic in the Central Oklahoma Aquifer Chemical analyses Carbon-14 age dating Microscopic examination of sediments Cation-exchange measurements Selective extractions for arsenic Water levels (Ground-water flow model) Available data
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Geochemical Reactions Brine initially fills the aquifer Calcite and Dolomite equilibrium Cation exchange 2NaX + Ca+2 = CaX2 + 2Na+ 2NaX + Mg+2 = MgX2 + 2Na+ Surface complexation Hfo-HAsO4- + OH- = HfoOH + HAsO4-2 Desorption at pH > 8.5
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Simulated Arsenic Concentrations in Central Oklahoma
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Charleston, South Carolina
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Aquifer Storage Recovery— Charleston, SC Well logs 2 Aquifer tests 4 ASR cycles Conservative break-through data Periodic chemical analyses Quantitative X-ray mineralogy Available Data
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Dispersion Constant dispersivity Dispersion adjusted by contrast in hydraulic conductivity
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Simulation of an ASR Cycle
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Predicted Recovery Efficiency
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1, 10, 100 Year Bubbles
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Phosphorus Transport at Cape Cod, MA
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Column experiments—PO 4, cations, O 2 Flow and transport parameters Mineralogy Tracer tests Water chemistry with time and space Microbial processes Isotopes Available Data—Everything
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Reactions Sorption—PO 4 Sorption—Cations Mineral equilibria –Fe oxyhydroxide –Mn oxide –Fe(3) phosphate –Fe(2) phosphate Kinetic decomposition of organic matter
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PHAST Simulation of Column Experiments
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Fit of Surface-Complexation Constants with UCODE Log K = 26.7 Sites = 3.0e-3 sites/L Log K = -1.8 Sites = 23.0e-3 sites/L Log K = 4.1 Log K = -7
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Phosphorus, mol/L Evolution of Phosphorus Plume at Cape Cod Sewage disposal during years 1-60
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MeasuredSimulated
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Predicted P Load to Ashumet Pond
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Belousov-Zhabatinskii Recipe SpeciesConcentration Malonic acid 0.2 M Sodium bromate 0.3 M Sulfuric acid 0.3 M Ferroin 0.005 M
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B-Z Definitions X [HBrO 2 ] Y [Br - ] Z[Ce(IV)] A [BrO 3 - ] B[Organic] P[HOBr] ReactionRate A + Y = X + P k 3 [H + ] 2 AY X + Y = 2P k 2 [H + ]XY A + X = 2X + 2Z k 5 [H + ]AX 2X = A + P k4X2k4X2k4X2k4X2 B + Z = 0.5 Y k 0 BZ Kinetic Rate Expressions
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B-Z—Concentration with Time
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B-Z Time Series of Petri Dish
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Conclusions Modeling results –Understanding natural systems—Oklahoma –Designing engineered systems—South Carolina –Predicting long-term effects—Massachusetts Modeling has a weakest link –Flow—Oklahoma –Transport—South Carolina –Reactions—Massachusetts Data requirements –Field—Aquifer tests, tracer tests, logging, chemical samples –Laboratory—column experiments, extractions, mineralogy –Resolving uncertainties is expensive B-Z, Kindred and Celia link to biological processes
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