@inproceedings{6a5258ece3564fa4a1bb2c851c2ea023,
title = "Fluid dynamics of nonaqueous phase contaminants in groundwater: Analytical solutions and analogy with zhukovsky{\textquoteright}s trochoid",
abstract = "An exact solution to a free-boundary, potential, 2-D flow of a Darcian fluid (mathematically equivalent to flow of a heavy irrotational ideal fluid) past a barrier is obtained by the theory of holomorphic functions. A volume of liquid contaminant contrasting in density with the ambient flowing groundwater makes a lens attached to the stoss or lee side of the barrier. The shape of the interface morphs in response to a pressure-velocity field in the dynamic and static liquid phases. The flow net and interface are plotted from explicit expressions found for the complex potential and complex velocity. As a particular case, we obtain a famous Zhukovsky{\textquoteright}s gas-bubble contour belonging to the class of trochoids. Serious caveats for remediation projects and artificial recharge of groundwater are inferred: more intensive descending seepage of ponded surface water through a heterogeneous aquifer may worsen the groundwater quality, contrary to what would occur in homogeneous porous media.",
keywords = "Clean-up, Conformal mappings, Darcian flow, Environmental engineering, Free surface, Groundwater contamination, Hodograph transform, Holomorphic functions",
author = "{Obnosov Yu}, V. and Kacimov, {A. R.}",
note = "Publisher Copyright: {\textcopyright} 2012 Newswood Limited. All rights reserved.; 2012 World Congress on Engineering, WCE 2012 ; Conference date: 04-07-2012 Through 06-07-2012",
year = "2012",
language = "English",
isbn = "9789881925138",
series = "Lecture Notes in Engineering and Computer Science",
publisher = "Newswood Limited",
pages = "44--47",
editor = "Len Gelman and Andrew Hunter and Korsunsky, {A. M.} and Ao, {S. I.} and Hukins, {David WL}",
booktitle = "Proceedings of the World Congress on Engineering 2012, WCE 2012",
}