Introduction
The simulation model
Two-dimensional groundwater flow model
Particle-tracking random walk for contaminant transport
Probability of detection
The analytical model
Homogeneous aquifers
Heterogeneous aquifers
Probability of detection
Illustrative example
Results and discussion
Assessment of simulations by analytical methods for the homogeneous case
Instantaneous leak
Continuous leak
Assessment of simulations by analytical methods for the heterogeneous case
Simulation model | Analytical model | |||||||
---|---|---|---|---|---|---|---|---|
Longitudinal dispersivity, α
L
(m) | Transversal dispersivity, α
T
(m) | Mean of Y, μ
Y
| Variance of Y, σ
Y
2
| Correlation length, λ (m) | Mean velocity, v (m/day) | Longitudinal macro-dispersivity, A
L
(m) | Transversal macro-dispersivity, A
T
(m) | |
Case1a | 0.1 | 0.01 | 2.3 | 0.2 | 15 | 0.04 | 3.1 | 0.013 |
Case1b | 0.1 | 0.01 | 2.3 | 0.4 | 15 | 0.04 | 6.1 | 0.016 |
Case1c | 0.1 | 0.01 | 2.3 | 1.0 | 15 | 0.04 | 15.1 | 0.026 |
Case1d | 0.1 | 0.01 | 2.3 | 1.5 | 15 | 0.04 | 22.6 | 0.034 |
Case2a | 0.5 | 0.05 | 2.3 | 0.2 | 15 | 0.04 | 3.5 | 0.066 |
Case2b | 0.5 | 0.05 | 2.3 | 0.4 | 15 | 0.04 | 6.5 | 0.082 |
Case2c | 0.5 | 0.05 | 2.3 | 1.0 | 15 | 0.04 | 15.5 | 0.131 |
Case2d | 0.5 | 0.05 | 2.3 | 1.5 | 15 | 0.04 | 23 | 0.171 |