Modeling for solute transport in mobile–immobile soil column experiment

Sharma, Pradmod; Shukla, Sanjay Kumar; Choudhary, Rahul; Swami, Deepak

doi:10.1080/09715010.2016.1155181

Cited by 14 publications

(5 citation statements)

References 29 publications

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“…Brusseau and Srivastava (1997) reported several factors affecting the transport of organic solutes, including physical and chemical heterogeneity and nonlinear and rate‐limited sorption. Several conceptual models have been developed to analyze the fate of solutes in heterogeneous porous media by considering nonequilibrium, multi‐rate mass transfer, and/or non‐Fickian transport behavior (Brusseau et al., 1989; Haggerty & Gorelick, 1995; Pot et al., 2005; Selim et al., 1999; Sharma et al., 2015, 2016; Srivastava & Brusseau, 1996; van Genuchten & Wierenga, 1976).…”

Section: Introductionmentioning

confidence: 99%

The Semi‐Analytical Solution for Non‐Equilibrium Solute Transport in Dual‐Permeability Porous Media

Sharma

Swami

Joshi

et al. 2021

Water Resources Research

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Section: Introductionmentioning

confidence: 99%

The Semi‐Analytical Solution for Non‐Equilibrium Solute Transport in Dual‐Permeability Porous Media

Sharma

Swami

Joshi

et al. 2021

Water Resources Research

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“…In addition to water flow in the vadose zone, the new package can also simulate solute transport involving many biogeochemical processes and reactions, including first-order degradation, volatilization, linear or nonlinear sorption, one-site kinetic sorption, twosite sorption, and two-kinetic sites sorption. Sharma et al (2016) developed a numerical model for the mobile-immobile phase advective-dispersive transport equation including equilibrium sorption and the firstorder degradation. The numerical model was also used to simulate experimental breakthrough curves (BTCs) for transport of chloride and fluoride through heterogeneous soil column using constant, linear, and exponential distance-dependent dispersion models.…”

Section: Modeling Of Groundwater Qualitymentioning

confidence: 99%

Hydrological Modeling in India

Singh

Mishra²,

Narasimhan

et al. 2020

PINSA

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Human alteration of the natural environment continues nearly unabated in many parts of the world. This has resulted in exploitation of natural resources including water, over and above their limits of natural replenishment. Therefore, the International Association of Hydrologic Sciences (IAHS) has dedicated the decade 2013-2022 to explore the interactions between human society and hydrology. Due to its hydro-climatic and socio-economic diversity, India is a microcosm of the world where observations pertaining to physical hydrology as well as socio-hydrology can be made to develop generalizable insights. This has enabled a number of studies in the last few years advancing surface and groundwater modeling, process understanding, use of satellite-based or low-cost sensing for model development or improvement, inclusion of anthropogenic influences in hydrologic models, and uncertainty estimation methods. Further research in these directions is expected to continue to enable better decision making for management of water resources.

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“…They have used the finite volume method for investigating the numerical solution of the physical nonequilibrium model. Sharma et al [21] studied the behavior of solute transport through MI soil column based on the laboratory study. Gao et al [22], in their study, have analyzed the behavior of solute transport in convectiondispersion transport model as compared to homogeneous and heterogeneous porous media.…”

Section: Introductionmentioning

confidence: 99%

On the Numerical Approximation of Mobile-Immobile Advection-Dispersion Model of Fractional Order Arising from Solute Transport in Porous Media

et al. 2022

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The fractional mobile/immobile solute transport model has applications in a wide range of phenomena such as ocean acoustic propagation and heat diffusion. The local radial basis functions (RBFs) method have been applied to many physical and engineering problems because of its simplicity in implementation and its superiority in solving different real-world problems easily. In this article, we propose an efficient local RBFs method coupled with Laplace transform (LT) for approximating the solution of fractional mobile/immobile solute transport model in the sense of Caputo derivative. In our method, first, we employ the LT which reduces the problem to an equivalent time-independent problem. The solution of the transformed problem is then approximated via the local RBF method based on multiquadric kernels. Afterward, the desired solution is represented as a contour integral in the left half complex along a smooth curve. The contour integral is then approximated via the midpoint rule. The main advantage of the LT-RBFs method is the avoiding of time discretization technique due which overcomes the time instability issues, second is its local nature which overcomes the ill-conditioning of the differentiation matrices and the sensitivity of the shape parameter, since the local RBFs method only considers the discretization points in each local domain around the collocation point. Due to this, sparse and well-conditioned differentiation matrices are produced, and third is the low computational cost. The convergence and stability of the numerical scheme are discussed. Some test problems are performed in one and two dimensions to validate our numerical scheme. To check the efficiency, accuracy, and efficacy of the scheme the 2D problems are solved in complex domains. The numerical results confirm the stability and efficiency of the method.

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Modeling for solute transport in mobile–immobile soil column experiment

Cited by 14 publications

References 29 publications

The Semi‐Analytical Solution for Non‐Equilibrium Solute Transport in Dual‐Permeability Porous Media

The Semi‐Analytical Solution for Non‐Equilibrium Solute Transport in Dual‐Permeability Porous Media

Hydrological Modeling in India

On the Numerical Approximation of Mobile-Immobile Advection-Dispersion Model of Fractional Order Arising from Solute Transport in Porous Media

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