the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Validating the Nernst–Planck transport model under reaction-driven flow conditions using RetroPy v1.0
- 1Geothermal Energy and Geofluids Group, Institute of Geophysics, Department of Earth Sciences, ETH Zurich, Zurich, Switzerland
- 2Institute for Modelling Hydraulic and Environmental Systems, University of Stuttgart, Stuttgart, Germany
- 3State Key Laboratory of Coal Mine Disaster Dynamics and Control, Chongqing University, Chongqing, China
- 4Department of Earth and Environmental Sciences, University of Minnesota, Minneapolis, USA
- 5Chair of Hydromechanics, Helmut Schmidt University, Hamburg, Germany
- 1Geothermal Energy and Geofluids Group, Institute of Geophysics, Department of Earth Sciences, ETH Zurich, Zurich, Switzerland
- 2Institute for Modelling Hydraulic and Environmental Systems, University of Stuttgart, Stuttgart, Germany
- 3State Key Laboratory of Coal Mine Disaster Dynamics and Control, Chongqing University, Chongqing, China
- 4Department of Earth and Environmental Sciences, University of Minnesota, Minneapolis, USA
- 5Chair of Hydromechanics, Helmut Schmidt University, Hamburg, Germany
Abstract. Reactive transport processes in natural environments often involve many ionic species. The diffusivities of ionic species vary. Since assigning different diffusivities in the advection-diffusion equation leads to charge imbalance, a single diffusivity is usually used for all species. In this work, we apply the Nernst–Planck equation, which resolves unequal diffusivities of the species in an electroneutral manner, to model reactive transport. To demonstrate the advantages of the Nernst–Planck model, we compare the simulation results of transport under reaction-driven flow conditions using the Nernst–Planck model with those of the commonly used single-diffusivity model. All simulations are also compared to well-defined experiments. Our results show that the Nernst–Planck model is valid and particularly relevant for modeling reactive transport processes with an intricate interplay among diffusion, reaction, electromigration, and density-driven convection.
Po-Wei Huang et al.
Status: open (until 11 Mar 2023)
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RC1: 'Comment on egusphere-2022-1205', Lucjan Sapa, 04 Jan 2023
reply
In report.pdf
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AC1: 'Reply on RC1', Po-Wei Huang, 12 Jan 2023
reply
Dear Professor Sapa,
We thank you for the efforts you took to review our paper and provide critical comments. We have carefully addressed the comments, especially in explaining the derivation of the electric field. The references you provided are relevant and helpful, and we have cited them. The domain dimensions of the experiment are included in the abstract, and the jump operator is defined. We hope the revisions meet your standards.
Please find the detailed reply to your comments in the attachment.
Sincerely,
Po-Wei Huang
powei.huang@erdw.ethz.ch
Postdoctoral Researcher, Geothermal Energy and Geofluids Group,
Institute of Geophysics, ETH Zurich
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AC1: 'Reply on RC1', Po-Wei Huang, 12 Jan 2023
reply
Po-Wei Huang et al.
Data sets
Data supplement for: Validating the Nernst–Planck transport model under reaction-driven flow conditions using RetroPy v1.0 Po-Wei Huang, Bernd Flemisch, Chao-Zhong Qin, Martin O. Saar, Anozie Ebigbo https://doi.org/10.5281/zenodo.7362225
Model code and software
RetroPy Po-Wei Huang https://doi.org/10.5281/zenodo.7371384
Video supplement
Video supplement for: Validating the Nernst–Planck transport model under reaction-driven flow conditions using RetroPy v1.0 Po-Wei Huang, Bernd Flemisch, Chao-Zhong Qin, Martin O. Saar, Anozie Ebigbo http://hdl.handle.net/20.500.11850/579224
Po-Wei Huang et al.
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