The present paper deals with mathematical modeling of solute transport in porous media to predict the contaminant distribution pattern in groundwater. Here we used the concept of dispersion related seepage velocity, together with the concept of Reynolds number. Initially the groundwater system is not solute free. The linear combination of time dependent source concentration with initial solute concentration is considered at the origin of the aquifer and at the other end the concentration gradient is supposed to be zero. We introduced a new independent time variable. A new transformation is employed for reducing the advection dispersion equation into constant coefficient. Laplace transform technique is used to obtain the desired solution. The analytical solution is illustrated graphically using various examples of velocity expressions for the suitable input parameters. The Peclet and Courant numbers are also considered for predicting the concentration pattern in the groundwater system.
Analytical Solution for Solute Transport Modeling along the Unsteady Groundwater Flow in Porous Medium
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The present paper deals with mathematical modeling of solute transport in porous media to predict the contaminant distribution pattern in groundwater. Here we used the concept of dispersion related seepage velocity, together with the concept of Reynolds number. Initially the groundwater system is not solute free. The linear combination of time dependent source concentration with initial solute concentration is considered at the origin of the aquifer and at the other end the concentration gradient is supposed to be zero. We introduced a new independent time variable. A new transformation is employed for reducing the advection dispersion equation into constant coefficient. Laplace transform technique is used to obtain the desired solution. The analytical solution is illustrated graphically using various examples of velocity expressions for the suitable input parameters. The Peclet and Courant numbers are also considered for predicting the concentration pattern in the groundwater system.
Publication Mode |
Online |
---|---|
Publication Author |
Mritunjay Kumar Singh, Pintu Das |
Publication Language |
English |
Publication Type |
Conference Paper |
Publication Year |
2016 |
DOI |
10.17491/cgsi/2016/95905 |
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