POLLUTEv10 Example 6: Fractured Layer with Sorption and Reactive Transport

POLLUTEv10 Example 6 diagram showing contaminant transport through clay liner and fractured till with sorption, fracture flow, and matrix diffusion into an underlying aquifer
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This example demonstrates the application of POLLUTEv10 for a more complex subsurface condition where fractured media and sorption processes both influence contaminant transport. It builds on previous cases by introducing a fractured till layer beneath a compacted clay liner and modeling a reactive contaminant species that sorbs to soil particles.


Conceptual Model Overview

The system consists of:

  • A 1 m compacted clay liner (low permeability, sorptive)
  • A 3 m fractured till layer (preferential flow pathways via fractures)
  • An underlying aquifer with controlled inflow/outflow
  • A finite contaminant source with a leachate collection system

Unlike homogeneous systems, this model accounts for:

  • Dual-domain transport (fractures + matrix)
  • Sorption in both clay liner and matrix
  • Advection and dispersion in fractures
  • Diffusion between fractures and matrix

Hydraulic Conditions and Flow Calculations

The governing hydraulic parameters are:

  • Darcy velocity through the deposit:
    va = 0.02 m/a
  • Infiltration through the cover:
    qo = 0.3 m/a

Leachate Collection Rate

The volume of leachate collected (Qc) is calculated as:

Qc=qova=0.30.02=0.28m/aQc = qo – va = 0.3 – 0.02 = 0.28 \, \text{m/a}

This indicates that most infiltrating water is captured by the leachate collection system, limiting downward contaminant migration.

Aquifer Flow Conditions

  • Upgradient inflow: 4 m/a
  • Landfill length: 200 m

The downgradient outflow velocity (vb) is:

vb=4+(200×0.02)=8m/avb = 4 + (200 \times 0.02) = 8 \, \text{m/a}

This reflects the cumulative contribution of vertical seepage across the landfill footprint.


Key Input Parameters

Soil and Transport Properties

PropertySymbolValueUnits
Darcy Velocityva0.02m/a
Diffusion CoefficientD0.01m²/a
Distribution CoefficientKd1.5cm³/g
Soil Porosityn0.4
Dry Densityρd2g/cm³

Layer Configuration

LayerThicknessSub-layers
Clay Liner (HL)1 m1
Fractured Till (HT)3 m1

Fracture Properties

PropertyValue
Fracture spacing (x, y)1 m
Fracture aperture10 μm
Dispersion in fractures (Df)0.06 m²/a
Fracture sorption (Kf)0 cm³/g

Matrix Properties (Till)

PropertyValue
Diffusion coefficient (Dm)0.01 m²/a
Distribution coefficient (Km)1.5 cm³/g
Porosity (nm)0.4
Dry density2 g/cm³

Source and Boundary Conditions

PropertyValue
Source concentration (co)1000 mg/L
Rate of increase (cr)0 mg/L/a
Leachate head (Hr)7.5 m
Leachate collection (Qc)0.28 m/a
Aquifer thickness (h)1 m
Aquifer porosity (nb)0.35
Base outflow velocity (vb)8 m/a
Time range20–300 years

Key Processes Simulated

1. Fracture Flow Dominance

The fractured till introduces preferential pathways, allowing faster contaminant migration compared to the clay liner. However, this is moderated by:

  • Narrow fracture apertures (10 μm)
  • Diffusion into the surrounding matrix

2. Sorption Effects

The contaminant is reactive, meaning:

  • It sorbs onto clay liner material
  • It also sorbs within the till matrix
  • No sorption occurs within fractures (Kf = 0)

This leads to:

  • Retardation of plume movement
  • Reduced peak concentrations
  • Increased long-term tailing

3. Matrix Diffusion

Contaminants move from fractures into the porous matrix via diffusion:

  • Acts as a temporary storage mechanism
  • Slows breakthrough in the aquifer
  • Causes back-diffusion at later times

Graphical Output: Depth vs Concentration


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Interpretation of Results

This scenario typically produces:

  • Delayed breakthrough compared to non-reactive cases
  • Lower peak concentrations due to sorption
  • Extended contaminant persistence due to matrix diffusion

The fractured till increases transport speed locally, but the combined effects of sorption and matrix diffusion significantly mitigate overall contaminant migration.


Engineering Insights

  • Even with fractures, clay liners remain highly effective when sorption is significant.
  • Leachate collection systems (Qc = 0.28 m/a) play a critical role in reducing contaminant flux.
  • Ignoring matrix diffusion in fractured systems can underestimate long-term impacts.
  • Reactive transport modeling is essential for realistic risk assessment.

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