MIGRATEv10 Example 12: Modeling Time-Dependent Source Histories for Multiple Landfill Cells

Two landfill contaminant sources with different timelines showing delayed plume interaction and concentration changes over time
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Introduction

MIGRATEv10 Example 12 builds on Example 11 by introducing a critical real-world factor:

👉 Different source histories for multiple landfill cells

Rather than assuming constant or identical source conditions, this example models how staggered construction, filling, and closure timelines affect contaminant migration.

This is a major step toward realistic modeling, where timing is just as important as geometry and hydrogeology.


Conceptual Model Overview

The system includes:

  • Two adjacent landfill cells (same as Example 11)
  • Identical hydrogeologic conditions
  • Different operational timelines and source concentrations

Key Modeling Objective

This example aims to:

  • Evaluate how time-varying source concentrations affect plume development
  • Understand delayed impacts from secondary sources
  • Assess concentration at a down-gradient receptor over time

Source History: Landfill Cell 1 (Smaller, Earlier)

Filling Phase

  • Duration: 0 to 10 years
  • Concentration increases linearly as waste accumulates

👉 In the model, this linear increase is approximated using two step increases


Peak Concentration

  • Occurs at: 10 years
  • Peak value determined by source assumptions

Post-Closure Behavior

  • After 10 years:
    • Landfill is closed
    • Concentration decreases over time
    • Represents mass depletion

Source History: Landfill Cell 2 (Larger, Delayed)

Delayed Construction

  • Begins: 20 years after closure of Landfill Cell 1
  • Filling occurs between:
    • 30 to 50 years

Filling Phase

  • Duration: 20 years
  • Concentration increases linearly

Peak Concentration

  • Reached at: 50 years
  • Peak value: 2500 mg/L

Post-Closure Behavior

  • After 50 years:
    • Landfill is closed
    • Concentration begins to decline

Key Difference from Example 11

FeatureExample 11Example 12
Source TypeConstant / simultaneousTime-dependent
Landfill TimingSameStaggered
Concentration BehaviorStaticDynamic

👉 Example 12 introduces temporal complexity


Modeling Approach in MIGRATEv10

Step 1: Use Geometry from Example 11

  • Same landfill cell dimensions
  • Same hydrogeologic layers

Step 2: Define Time-Dependent Sources

Landfill Cell 1:

  • Stepwise increase (0–10 years)
  • Decline after closure

Landfill Cell 2:

  • No contribution until ~30 years
  • Stepwise increase (30–50 years)
  • Decline after closure

Step 3: Assign Concentration Functions

  • Approximate linear trends using step inputs
  • Ensure continuity between phases

Step 4: Run Simulation

  • Track concentration at:
    • Down-gradient receptor
  • Evaluate over full time range

Graphical Output: Depth vs Distance

PDF Report

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Interpretation of Results

1. Early-Time Behavior (0–20 years)

  • Dominated by Landfill Cell 1
  • Rising then declining concentrations

2. Mid-Time Behavior (20–50 years)

  • Transition period
  • Landfill Cell 1 impact decreases
  • Landfill Cell 2 begins contributing

3. Late-Time Behavior (50+ years)

  • Dominated by Landfill Cell 2
  • Higher peak concentrations due to:
    • Larger size
    • Higher peak value (2500 mg/L)

Key Insights

1. Timing Controls Impact

  • Even a large landfill cell may have delayed influence
  • Early impacts may come from smaller sources

2. Overlapping Plumes

  • Plumes may:
    • Overlap
    • Reinforce each other
  • Resulting in complex concentration patterns

3. Long-Term Risk

  • Delayed sources can extend contamination over long timeframes
  • Important for:
    • Monitoring
    • Risk assessment

Practical Applications

This type of modeling is critical for:

  • Phased landfill development
  • Long-term environmental planning
  • Regulatory compliance over decades
  • Forecasting future contamination scenarios

Key Takeaways

  • Source history significantly affects contaminant transport
  • Time-dependent modeling is essential for realism
  • Delayed sources can dominate long-term impacts
  • MIGRATEv10 can simulate complex temporal behavior effectively

Final Thoughts

MIGRATEv10 Example 12 highlights that contaminant transport is not just a function of space—but also time. By incorporating realistic source histories, this example provides a more accurate representation of how landfills impact groundwater over decades.

This example is especially important for:

  • Long-term environmental assessments
  • Multi-phase landfill operations
  • Predictive modeling for future site conditions

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