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Contaminant Concentration Prediction Along Unsteady Groundwater Flow

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Modelling and Simulation of Diffusive Processes

Part of the book series: Simulation Foundations, Methods and Applications ((SFMA))

Abstract

One-dimensional model describing contaminant concentration pattern, governed by advective-diffusive process, is discussed in the present chapter. Solute mass dispersion originating from a pulse type time dependent source is used along a homogeneous semi-infinite aquifer, defined by the Heaviside unit step function. Linear, exponentially decreasing, and sigmoid forms of unsteady velocities are considered. Using suitable transformations, variable coefficients are reduced to constant coefficients. Laplace transformation is used to get the analytical solutions. The analytical solution is compared with the numerical solution of the same problem. To get numerical solution, the semi-infinite domain is converted into a finite domain. The unsteadiness of velocity is defined with the help of two parameters. Comparisons are made for a wide range of combinations of the different parameters; interesting results are observed.

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Author information

Authors and Affiliations

  1. Department of Applied Mathematics, Indian School of Mines, 826004, Dhanbad, India

    Mritunjay Kumar Singh & Priyanka Kumari

Authors
  1. Mritunjay Kumar Singh
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  2. Priyanka Kumari
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Correspondence to Mritunjay Kumar Singh .

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Editors and Affiliations

  1. Banaras Hindu University, Varanasi, Uttar Pradesh, India

    S.K. Basu

  2. Banaras Hindu University, Varanasi, Uttar Pradesh, India

    Naveen Kumar

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Singh, M., Kumari, P. (2014). Contaminant Concentration Prediction Along Unsteady Groundwater Flow. In: Basu, S., Kumar, N. (eds) Modelling and Simulation of Diffusive Processes. Simulation Foundations, Methods and Applications. Springer, Cham. https://doi.org/10.1007/978-3-319-05657-9_12

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  • DOI: https://doi.org/10.1007/978-3-319-05657-9_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-05656-2

  • Online ISBN: 978-3-319-05657-9

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