Behavioral Study of the Mass Transfer Coefficient of Nonreactive Solute with Velocity, Distance, and Dispersion

Swami, Deepak; Sharma, Pramod Kumar; Ojha, Chandra Shekhar Prasad

doi:10.1061/(asce)ee.1943-7870.0001164

Cited by 4 publications

(4 citation statements)

References 53 publications

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“…Mobile-immobile models with linear (MIM-LTDD) and asymptotic time-dependent dispersion (MIM-ATDD) are used to simulate observed BTCs. The experimental data of chloride transport through stratified porous media from Swami et al [44] are considered for simulation. The transport parameters such as time-dependent dispersion coefficient (K A or K L ), maximum dispersion coefficient (D 0 ) and mass-transfer coefficient (x) have been optimized for different down-gradient distances using simulation.…”

Section: Simulation Of Experimental Data Of Chloride Transport Througmentioning

confidence: 99%

“…The experimental process on the stratified porous media has been defined in Swami et al [44]. Values of physical input parameters are kept the same, i.e., mass fraction of sorbed phase that equilibrates instantly with the mobile region (f) and dry bulk density (q b ) of the porous media have been obtained by empirical relations given by Brusseau et al [10]:…”

Section: Simulation Of Experimental Data Of Chloride Transport Througmentioning

confidence: 99%

“…Therefore, in this study, firstly an attempt is made to extend MIM to embrace the concept of arbitrary timedependent dispersion and subsequently to solve it numerically using a hybrid implicit finite difference method. Secondly, the numerical solution developed is then used to simulate the experimental data of Swami et al [44]. Log-log plots of BTCs have been used to demonstrate the capabilities of presented solution, particularly in the rising and tailing portion.…”

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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Section: Simulation Of Experimental Data Of Chloride Transport Througmentioning

confidence: 99%

Section: Simulation Of Experimental Data Of Chloride Transport Througmentioning

confidence: 99%

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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“…Similarly, the wellbore storage in the chaser, rest and extraction phases refers to the concentration variation caused by mixing processes between the original solute in the wellbore and the tracer moving in or out the wellbore. The examples of ignoring wellbore storage include Gelhar and Collins (1971), Chen (1985Chen ( , 1987, Moench (1989), Chen et al (2007Chen et al ( , 2012Chen et al ( , 2017, Schroth et al (2001), Tang and Babu (1979), Huang et al (2010) and Zhou et al (2017). Recently, Wang et al (2018) developed a two-phase (injection and extraction) model for the SWPP test with specific considerations of the wellbore storage.…”

Section: Introductionmentioning

confidence: 99%

New model of reactive transport in a single-well push–pull test with aquitard effect and wellbore storage

Wang

Zhan

et al. 2020

Hydrol. Earth Syst. Sci.

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Abstract. The model of single-well push–pull (SWPP) test has been widely used to investigate reactive radial dispersion in remediation or parameter estimation of in situ aquifers. Previous analytical solutions only focused on a completely isolated aquifer for the SWPP test, excluding any influence of aquitards bounding the tested aquifer, and ignored the wellbore storage of the chaser and rest phases in the SWPP test. Such simplification might be questionable in field applications when test durations are relatively long because solute transport in or out of the bounding aquitards is inevitable due to molecular diffusion and cross-formational advective transport. Here, a new SWPP model is developed in an aquifer–aquitard system with wellbore storage, and the analytical solution in the Laplace domain is derived. Four phases of the test are included: the injection phase, the chaser phase, the rest phase and the extraction phase. As the permeability of the aquitard is much smaller than the permeability of the aquifer, the flow is assumed to be perpendicular to the aquitard; thus only vertical dispersive and advective transports are considered for the aquitard. The validity of this treatment is tested against results grounded in numerical simulations. The global sensitivity analysis indicates that the results of the SWPP test are largely sensitive (i.e., influenced by) to the parameters of porosity and radial dispersion of the aquifer, whereas the influence of the aquitard on results could not be ignored. In the injection phase, the larger radial dispersivity of the aquifer could result in the smaller values of breakthrough curves (BTCs), while there are greater BTC values in the chaser and rest phases. In the extraction phase, it could lead to the smaller peak values of BTCs. The new model of this study is a generalization of several previous studies, and it performs better than previous studies ignoring the aquitard effect and wellbore storage for interpreting data of the field SWPP test reported by Yang et al. (2014).

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Contaminant Transport Modeling for Homogeneous and Heterogeneous Porous Systems Using MODFLOW Models-Based Scripting Python Package

Guleria

Chakma

Singh

2023

Water Science and Technology Library

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Behavioral Study of the Mass Transfer Coefficient of Nonreactive Solute with Velocity, Distance, and Dispersion

Cited by 4 publications

References 53 publications

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

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

New model of reactive transport in a single-well push–pull test with aquitard effect and wellbore storage

Contaminant Transport Modeling for Homogeneous and Heterogeneous Porous Systems Using MODFLOW Models-Based Scripting Python Package

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