Effective Stochastic Model For Reactive Transport
Abstract
We propose an effective stochastic advectiondiffusionreaction (SADR) model. Unlike traditional advectiondispersionreaction models, the SADR model describes mechanical and diffusive mixing as two separate processes. In the SADR model, the mechanical mixing is driven by random advective velocity with the variance given by the coefficient of mechanical dispersion. The diffusive mixing is modeled as a fickian diffusion with the effective diffusion coefficient. Both coefficients are given in terms of Peclet number (Pe) and the coefficient of molecular diffusion. We use the experimental results of \cite{Gramling} to demonstrate that for transport and bimolecular reactions in porous media the SADR model is significantly more accurate than the traditional dispersion model, which overestimates the mass of the reaction product by as much as 25\%.
 Authors:

 BATTELLE (PACIFIC NW LAB)
 Publication Date:
 Research Org.:
 Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1542085
 Report Number(s):
 PNNLSA93069
 DOE Contract Number:
 AC0576RL01830
 Resource Type:
 Book
 Country of Publication:
 United States
 Language:
 English
 Subject:
 stochastic equations, mixing controlled reactions, multiscale models, reactive transport, mesoscale models
Citation Formats
Tartakovsky, Alexandre M. Effective Stochastic Model For Reactive Transport. United States: N. p., 2018.
Web. doi:10.1002/9781119060031.ch11.
Tartakovsky, Alexandre M. Effective Stochastic Model For Reactive Transport. United States. doi:10.1002/9781119060031.ch11.
Tartakovsky, Alexandre M. Sun .
"Effective Stochastic Model For Reactive Transport". United States. doi:10.1002/9781119060031.ch11.
@article{osti_1542085,
title = {Effective Stochastic Model For Reactive Transport},
author = {Tartakovsky, Alexandre M.},
abstractNote = {We propose an effective stochastic advectiondiffusionreaction (SADR) model. Unlike traditional advectiondispersionreaction models, the SADR model describes mechanical and diffusive mixing as two separate processes. In the SADR model, the mechanical mixing is driven by random advective velocity with the variance given by the coefficient of mechanical dispersion. The diffusive mixing is modeled as a fickian diffusion with the effective diffusion coefficient. Both coefficients are given in terms of Peclet number (Pe) and the coefficient of molecular diffusion. We use the experimental results of \cite{Gramling} to demonstrate that for transport and bimolecular reactions in porous media the SADR model is significantly more accurate than the traditional dispersion model, which overestimates the mass of the reaction product by as much as 25\%.},
doi = {10.1002/9781119060031.ch11},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2018},
month = {3}
}