Investigation of groundwater contamination in physical systems mathematically using differential transform method
by Asim Biswas; Subhabrata Mondal; Ayan Chatterjee
International Journal of Hydrology Science and Technology (IJHST), Vol. 18, No. 3, 2024

Abstract: A mathematical modelling-based study has been developed to model the impact of groundwater contamination in aquifer-aquitard systems in different geological formation. Different mathematical functions are used to depict dispersion and velocity in different medium. Boundary conditions are often unpredictable due to complex geometry and nature of the aquifer. Initial condition is quite easy to obtain so different types of initial conditions have been considered. Advection dispersion equation (ADE) has been used to measure the contaminant concentration in the aquifer-aquitard system. Along with the reduction of the computational work, the differential transform method (DTM) used to solve linear and nonlinear initial value partial differential equations (PDEs). Two dimensional DTM has been used to solve the advection dispersion equation semi-analytically and MATLAB is used to plot the solution. Different dispersion, velocity and initial conditions shows different impact in the contaminant concentration profile and also impact of space and time is quite visible.

Online publication date: Tue, 03-Sep-2024

The full text of this article is only available to individual subscribers or to users at subscribing institutions.

 
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.

Pay per view:
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.

Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Hydrology Science and Technology (IJHST):
Login with your Inderscience username and password:

Username:        Password:          Forgotten your password?

Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.

If you still need assistance, please email subs@inderscience.com