Abstract
A comparative study is made among Laplace Transform Technique (LTT) and Fourier Transform Technique (FTT) to obtain one-dimensional analytical solution for conservative solute transport along unsteady groundwater flow in semi-infinite aquifer. The time-dependent source of contaminant concentration is considered at the origin and at the other end of the aquifer is supposed to be zero. Initially, aquifer is not solute free which means that the solute concentration exits in groundwater system and it is assumed as a uniform concentration. The aquifer is considered homogeneous and semi-infinite. The time-dependent velocity expressions are considered. The result may be used as preliminary predictive tools in groundwater management and benchmark the numerical code and solutions.
Highlights
As we know, groundwater constituents are an important component of many natural water resource systems which supply water for domestic, industrial and agricultural purposes
A comparative study is made among Laplace Transform Technique (LTT) and Fourier Transform Technique (FTT) to obtain one-dimensional analytical solution for conservative solute transport along unsteady groundwater flow in semi-infinite aquifer
Our objective is to find the analytical solutions using Fourier Transform Technique (FTT) and to compare the result with the solution obtained by Laplace Transform Technique (LTT)
Summary
Groundwater constituents are an important component of many natural water resource systems which supply water for domestic, industrial and agricultural purposes. It is believed that groundwater is more risk free in compare to the surface water These days pollution of groundwater is growing continuously in the various developing countries India due to the indiscriminate discharge of waste water from the various industries, especially coal based industries, which do not have sufficient treatment facilities. Many experimental and theoretical studies were undertaken to improve the understanding, management, and prediction of the movement of contaminant behavior in groundwater system. Explicit closed-form solutions for transport problem can often be derived if the model parameters are constant with respect to time and position [5]. Time-dependent velocity expressions are considered to illustrate the obtained result
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