• ONE-DIMENSIONAL SOLUTE TRANSPORT IN A HOMOGENEOUS POROUS MEDIA WITH PULSE TYPE INPUT SOURCE

R. R. YADAV*, JOY ROY

Abstract


In this paper, a theoretical model is developed for advection-dispersion problem including first order decay and zero order production in a one-dimensional semi-infinite porous media. Dispersion coefficient is considered proportional to seepage velocity while seepage velocity is a temporal function. Initial concentration is assumed exponentially space dependent. Time dependent pulse type source concentration which is any smooth function of time is considered at the one end of the boundary. Concentration gradient at other end is supposed to be zero. Interpolation method is applied to reduce the input function into a polynomial. In order to eliminate the time derivative, the Laplace transform technique is applied to get the solution of advection dispersion equation.  Two different time dependent functions of input are considered. Obtained result is demonstrated graphically with the help of numerical examples.


Keywords


Advection; Dispersion; Aquifer; Porous Medium; Interpolation; Laplace Transformation.

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