The Semi-Analytical Solution for Non-Equilibrium Solute Transport in Dual-Permeability Porous Media

Abhimanyu Sharma, Deepak Swami, Nitin Joshi, Aman Chandel, Jirka Šimůnek

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


This study presents a conceptual Dual-Permeability Non-Equilibrium (DPNE) model that accounts for both physical and chemical non-equilibria to describe the reactive solute transport through a porous medium. A semi-analytical solution of the DPNE model is derived in the Laplace domain, which is then numerically inverted to obtain concentrations in different domains at different times and depths. The derived semi-analytical solution is validated using experimental data and existing analytical (for simple problems) and numerical solutions. The Global Sensitivity Analysis (GSA) is performed to identify model parameters with an impact on nonreactive tracer breakthrough curves (BTC) for a selected data set. A sensitivity-based calibration of the DPNE model’s parameters is carried out to simulate a BTC with multiple inflection points. The DPNE model can better describe the experimental datasets than the model based on the dual-porosity (MIM) concept with first-order mass transfer. Since the DPNE model considers detailed sorption and mass transfer dynamics, it is suitable for process-based investigations.

Original languageEnglish
Article numbere2020WR029370
JournalWater Resources Research
Issue number5
StatePublished - 1 May 2021
Externally publishedYes


  • Analytical solution
  • contaminant transport
  • dual-permeability model
  • global sensitivity analysis
  • non-equilibrium model

ASJC Scopus subject areas

  • Water Science and Technology


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