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Improved Domenico solution for three-dimensional contaminant transport.

Jhansi Sangani1, Venkatraman Srinivasan1

  • 1Department of Civil Engineering, Indian Institute of Technology Madras, Chennai, India.

Journal of Contaminant Hydrology
|October 29, 2021
PubMed
Summary

A new closed-form solution improves contaminant transport simulations by accurately estimating plume concentrations, especially beyond the advective front, overcoming limitations of the traditional Domenico solution.

Keywords:
Analytical solutionCharacteristic residence timeContaminant transportDomenico solutionGroundwaterScreening tool

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Area of Science:

  • Environmental Science
  • Geochemistry
  • Hydrogeology

Background:

  • The Domenico solution is a standard analytical tool for simulating three-dimensional (3D) reactive contaminant transport in groundwater.
  • It offers a convenient closed-form expression but introduces significant errors with non-zero longitudinal dispersivity, limiting its real-world applicability.

Purpose of the Study:

  • To develop a new, improved closed-form solution for 3D reactive contaminant transport.
  • To overcome the limitations of the Domenico solution, particularly under realistic non-zero longitudinal dispersivity conditions.

Main Methods:

  • Introduction of the characteristic residence time concept to describe contaminant travel time.
  • Calibration of the Ramberg-Osgood function to model characteristic residence time along the plume centerline.
  • Development of a new closed-form approximation based on the calibrated characteristic residence time.

Main Results:

  • The new solution accurately approximates solute concentrations in 3D contaminant plumes, even with realistic longitudinal dispersivity values.
  • It shows improved performance beyond the advective front, where the original Domenico solution is inaccurate.
  • The characteristic residence time exhibits distinct linear, saturation, and transition phases along the plume centerline.

Conclusions:

  • The novel closed-form solution provides more accurate estimates of contaminant plume concentrations compared to the Domenico solution.
  • Existing screening tools can be updated with this improved solution for enhanced accuracy without increased computational cost.
  • This advancement enhances the simulation of realistic contaminant transport scenarios in groundwater.