Finite volume model for reactive transport in fractured porous media with distance- and time-dependent dispersion

Sharma, Pramod Kumar; Ojha, C. S. P.; Joshi, Nitin

doi:10.1080/02626667.2014.932910

Cited by 5 publications

(2 citation statements)

References 19 publications

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“…When the porous medium is heterogeneous, early arrival and long tailing of solute particles in the time-concentration plots (breakthrough curves-BTCs) have been observed, which are attributed to anomalous transport behaviour [3,4]. It has been reported in literature that ADE is less adequate for simulating anomalous transport through heterogeneous porous media [3,[5][6][7][8][9]. Therefore, higher-order modelling approaches have been proposed that can capture anomalous transport behaviour of solute, considering physical and chemical partitioning in saturated porous media [8,[10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

“…Another major limitation of spacedependent dispersion coefficient is ever-growing behaviour with space [8,20,35]. Since the solution phase concentration rather changes with each time step, for a heterogeneous medium, time-dependent dispersion captures spreading in a better manner [9,26,36]. ADE incorporating time-dependent dispersion coefficient has been presented for homogeneous porous media [23,[37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

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Non-reactive solute transport modelling with time-dependent dispersion through stratified porous media

et al. 2019

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We present a numerical solution of the mobile-immobile model (MIM) with time-dependent dispersion coefficient to simulate solute transport through heterogeneous porous media. Observed experimental data of non-reactive solute transport through hydraulically coupled stratified porous media have been simulated using asymptotic and linear time-dependent dispersion functions. Non-Gaussian breakthrough curves comprising long tails are simulated well with the MIM incorporating asymptotic time-dependent dispersion model. The system is under the strong influence of physical nonequilibrium, which is evident by variable mass transfer coefficient estimated at different down-gradient distances. Asymptotic time-dependent functions are capable of capturing the rising limb of the solution phase breakthrough curves with improved accuracy, whereas tailing part simulation capabilities are similar for both asymptotic and linear time-dependent dispersion functions. Further, the temporal moment analysis demonstrated increased spreading, variance for linear dispersion model as compared with asymptotic dispersion model. It is also observed that the first-order mass transfer coefficient varies inversely with travel distance from the input source. It can be concluded from the study that MIM with time-dependent dispersion function is simpler yet sensitive to account for medium's heterogeneity in a better manner even for small observation distances from the source.

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