TY - JOUR
T1 - Application of temporal moments to interpret solute transport with time-dependent dispersion
AU - Guleria, Abhay
AU - Swami, Deepak
AU - Joshi, Nitin
AU - Sharma, Abhimanyu
N1 - Funding Information:
All the work has been carried out at Indian Institute of Technology, Mandi during Master’s study of first author. First author would like to thank Indian Institute of Technology, Mandi for supporting this study. The authors would like to thank the reviewer and editor for their constructive and valuable comments.
Publisher Copyright:
© 2020, Indian Academy of Sciences.
PY - 2020/12/1
Y1 - 2020/12/1
N2 - Temporal moments of solute transport through porous media are calculated to analyze the time average spatial distribution of solute plume. Simulation of spatially and temporally distributed breakthrough curves (BTCs) is computationally rigorous and lacking the explanation about overall plume evolution within porous media. However, temporal moment provides an attractive and simple solution to study the plume behavior. In this study, temporal moments are presented to interpret solute plume behavior in heterogeneous porous media such as hydraulically coupled stratified porous media with different time-dependent dispersion models. Governing equations of solute transport have been solved numerically using Crank-Nicolson scheme, and further solute concentration data has been utilized to calculate moments of solute concentration using numerical integration. The effect of various parameters such as mass-transfer coefficient, pore-water velocity, time-dependent dispersion coefficients, and porosity of mobile region on the transport of solute has been studied through sensitivity analyses. Temporal moment analysis revealed that the mass recovery, mean residence time, and variance are sensitive to the estimated parameters. Numerical results suggested that the asymptotic time-dependent dispersion function with mobile–immobile model represents the plume spreading through heterogeneous porous media in a more realistic manner.
AB - Temporal moments of solute transport through porous media are calculated to analyze the time average spatial distribution of solute plume. Simulation of spatially and temporally distributed breakthrough curves (BTCs) is computationally rigorous and lacking the explanation about overall plume evolution within porous media. However, temporal moment provides an attractive and simple solution to study the plume behavior. In this study, temporal moments are presented to interpret solute plume behavior in heterogeneous porous media such as hydraulically coupled stratified porous media with different time-dependent dispersion models. Governing equations of solute transport have been solved numerically using Crank-Nicolson scheme, and further solute concentration data has been utilized to calculate moments of solute concentration using numerical integration. The effect of various parameters such as mass-transfer coefficient, pore-water velocity, time-dependent dispersion coefficients, and porosity of mobile region on the transport of solute has been studied through sensitivity analyses. Temporal moment analysis revealed that the mass recovery, mean residence time, and variance are sensitive to the estimated parameters. Numerical results suggested that the asymptotic time-dependent dispersion function with mobile–immobile model represents the plume spreading through heterogeneous porous media in a more realistic manner.
KW - Moment analysis of solute concentration
KW - heterogeneous porous media
KW - mass-transfer coefficient
KW - mobile–immobile model
KW - time-dependent dispersion
UR - http://www.scopus.com/inward/record.url?scp=85087079655&partnerID=8YFLogxK
U2 - 10.1007/s12046-020-01402-5
DO - 10.1007/s12046-020-01402-5
M3 - Article
AN - SCOPUS:85087079655
SN - 0256-2499
VL - 45
JO - Sadhana - Academy Proceedings in Engineering Sciences
JF - Sadhana - Academy Proceedings in Engineering Sciences
IS - 1
M1 - 159
ER -