Determination of transverse dispersion coefficients from reactive plume lengths

Ground Water
Olaf A CirpkaPeter Grathwohl

Abstract

With most existing methods, transverse dispersion coefficients are difficult to determine. We present a new, simple, and robust approach based on steady-state transport of a reacting agent, introduced over a certain height into the porous medium of interest. The agent reacts with compounds in the ambient water. In our application, we use an alkaline solution injected into acidic ambient water. Threshold values of pH are visualized by adding standard pH indicators. Since aqueous-phase acid-base reactions can be considered practically instantaneous and the only process leading to mixing of the reactants is transverse dispersion, the length of the plume is controlled by the ratio of transverse dispersion to advection. We use existing closed-form expressions for multidimensional steady-state transport of conservative compounds in order to evaluate the concentration distributions of the reacting compounds. Based on these results, we derive an easy-to-use expression for the length of the reactive plume; it is proportional to the injection height squared, times the velocity, and inversely proportional to the transverse dispersion coefficient. Solving this expression for the transverse dispersion coefficient, we can estimate its value ...Continue Reading

References

Sep 19, 2002·Journal of Contaminant Hydrology·I D Klenk, Peter Grathwohl
Apr 10, 2003·Journal of Contaminant Hydrology·Christina Eberhardt, Peter Grathwohl

Citations

Aug 4, 2009·Analytical and Bioanalytical Chemistry·Stefanie JaegerGuenter Gauglitz
Sep 1, 2011·Environmental Science & Technology·Rajveer Singh, Mira Stone Olson
Dec 3, 2014·Journal of Contaminant Hydrology·Donato CitarellaAndrea Zanini
Jul 17, 2012·Journal of Contaminant Hydrology·Olaf A CirpkaWolfgang Nowak
Nov 8, 2011·Journal of Hazardous Materials·Constantinos V ChrysikopoulosVasileios E Katzourakis
Feb 19, 2010·Journal of Contaminant Hydrology·Charles J WerthThomas Baumann
Dec 18, 2009·Journal of Contaminant Hydrology·Guy E KatzMaarten W Saaltink
Nov 10, 2009·Journal of Contaminant Hydrology·Massimo RollePeter Grathwohl
May 2, 2008·Journal of Contaminant Hydrology·Olaf A CirpkaMarco Dentz
Dec 18, 2007·Journal of Contaminant Hydrology·Robert D BauerChristian Griebler
Jun 15, 2007·Journal of Contaminant Hydrology·P A S HamPeter Grathwohl
May 2, 2007·Ground Water·Marco MassabòOmbretta Paladino
Apr 16, 2011·Biotechnology and Bioengineering·Kathryn L StrobelRoseanne M Ford
Sep 8, 2011·Ground Water·Amanda MarruffoCharles J Werth
Jun 26, 2013·Ground Water·Quanrong WangZhonghua Tang
Nov 15, 2013·Ground Water·Paul W Hadley, Charles Newell
Nov 2, 2018·Ground Water·Alraune ZechGedeon Dagan

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