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Spring 2024
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2024-05
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Gartner_Honors.pdf
Adobe PDF, 2.37 MB
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Abstract
Contaminant transport modeling plays a great role in environmental
science to understand how chemical or biological contaminants are
transported through subsurface aquifer systems. This thesis introduces
a simple mathematical model for the transport of contaminants
carried by water through a porous medium, such as soil. Moreover,
we briefly introduce important mathematical concepts in the study of
partial differential equations: traveling waves and shock formation. By
examining the behavior of traveling waves and shock formation within
our model, we describe the solution’s behavior and compare this description
with the numerical solution of the model.
Keywords. Mathematics, Partial Differential Equations, Contaminant
transport, Groundwater, Mathematical modeling, Conservation
laws, Reaction-Advection-Dispersion Equations, Numerical methods,
Simulation
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