The effect of the size of a solute plume on macrodispersion in two-dimensional nonuniform groundwater flow caused by recharge is investigated. The first-order analytical expressions of the non-stationary velocity covariance are presented under a uniform recharge condition. These expressions are used to evaluate the ensemble averages of the second spatial moments of a finite plume. The first-order theoretical results are verified with Monte Carlo simulations. The results for a line source of different lengths normal to the mean flow and β = 0.05, where β characterizes degree of flow nonuniformity, are presented. It is shown that spreading of a solute plume increases and uncertainty about the mass center of a plume decreases as the size of the plume increases. The ergodic limit is approached as the size of a plume increases and the medium becomes less heterogeneous. For the small value of σ(Y)2 = 0.1, the simulated results are almost identical to the first-order results. As σ(Y)2 increases, the simulated second spatial moments are generally larger than the corresponding first-order results, especially in the transverse direction.

Zhang Y.-K., Seo B., V. Di Federico (2000). Stochastic analysis and simulation of transport of a contaminant plume in nonuniform groundwater flow. A.A. Balkema.

Stochastic analysis and simulation of transport of a contaminant plume in nonuniform groundwater flow

V. Di Federico
2000

Abstract

The effect of the size of a solute plume on macrodispersion in two-dimensional nonuniform groundwater flow caused by recharge is investigated. The first-order analytical expressions of the non-stationary velocity covariance are presented under a uniform recharge condition. These expressions are used to evaluate the ensemble averages of the second spatial moments of a finite plume. The first-order theoretical results are verified with Monte Carlo simulations. The results for a line source of different lengths normal to the mean flow and β = 0.05, where β characterizes degree of flow nonuniformity, are presented. It is shown that spreading of a solute plume increases and uncertainty about the mass center of a plume decreases as the size of the plume increases. The ergodic limit is approached as the size of a plume increases and the medium becomes less heterogeneous. For the small value of σ(Y)2 = 0.1, the simulated results are almost identical to the first-order results. As σ(Y)2 increases, the simulated second spatial moments are generally larger than the corresponding first-order results, especially in the transverse direction.
2000
Computational methods in water resources - Volume 1 - Computational methods for subsurface flow and transport
389
395
Zhang Y.-K., Seo B., V. Di Federico (2000). Stochastic analysis and simulation of transport of a contaminant plume in nonuniform groundwater flow. A.A. Balkema.
Zhang Y.-K.; Seo B.; V. Di Federico
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/940978
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