The Diffusion Equation
The first chapter of this monograph deals with diffusion. Diffusion processes play an important role in hydrogeological modeling. In subsurface porous structures there are really two processes that are lumped together into a diffusion term. One is ordinary molecular diffusion caused by the random collisions between molecules, and the other is dispersion, a velocity-driven process where molecules disperse by tracking through the tortuous pathways of the medium. Both processes cause molecules, say, a contaminant dissolved in water, to spread out in the medium. In this chapter we focus on one part of the diffusion-dispersion process, namely molecular diffusion.
KeywordsCauchy Problem Maximum Principle Diffusion Equation Fundamental Solution Inlet Boundary
Unable to display preview. Download preview PDF.