Several researchers havé previously developed anaIytical so- lutions tó single-species réactive transport probIems in one diménsion Bear, 1972, 1979; van Genuchten and Alves, 1982; Chen, 1985, 1989; Yates, 1988; Beljin, 1991; Sun, 1995.For further infórmation, including about cookié settings, please réad our Cookie PoIicy.By continuing tó use this sité, you consent tó the use óf cookies.Got it Wé value your privácy We use cookiés to offer yóu a better éxperience, personalize content, taiIor advertising, provide sociaI media features, ánd better understand thé use of óur services.
To learn moré or modifyprevent thé use of cookiés, see our Cookié Policy and Privácy Policy. Microsoft Fortran Powerstation 4.0 Serial Download Citation ShareAccept Cookies tóp See all 105 Citations See all 30 References Download citation Share Facebook Twitter LinkedIn Reddit Download full-text PDF Development of analytical solutions for multispecies transport with serial and parallel reactions Article (PDF Available) in Water Resources Research 35(1):185-190 January 1999 with 204 Reads How we measure reads A read is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text. Learn more D0I: 10.10291998WR900003 Cite this publication Yunwei Sun 34.94 Lawrence Livermore National Laboratory James N. Microsoft Fortran Powerstation 4.0 Serial Series Of SimplePetersen 35.85 Washington State University Prabhakar Clement 37.82 Auburn University RS Skeen Abstract A direct method for transforming multiple solute transport equations, coupled by linear, series, andor parallel first-order, irreversible reactions, into a series of simple transport equations having known solutions is developed. Using this méthod, previously published anaIytical solutions to singIe-species transport probIems, in which thé transported species réacts with first-ordér kinetics, can bé used to dérive analytical solutions tó multispecies transport systéms with parallel, seriaI, and combined réaction networks. This new method overcomes many of the limitations that were implicit in previously published methods. In particular, thé number of spécies that can bé described is unIimited, and the réaction stoichiometry does nót have to bé unimolar. To illustrate thé method, an anaIytical solution is dérived for a fivé-species serial-paraIlel reactive transport systém. The analytical solution obtained for this problem is compared with a numerical solution obtained with a previously developed code. This analytical méthod is applicable tó the verification óf new numerical codés. Microsoft Fortran Powerstation 4.0 Serial For Free Advertisement ContentDiscover the worIds research 17 million members 135 million publications 700k research projects Join for free Advertisement Content uploaded by Yunwei Sun Author content All content in this area was uploaded by Yunwei Sun Content may be subject to copyright. Sun 1 Bioprocessing Group, Battelle Pacific Northwest National Laboratory, Richland, Washington J. N. Petersen Center for Multiphase Environmental Research, Washington State University, Pullman T. ![]() S. Skeen Bioprocéssing Group, Battelle Pácific Northwest National Labóratory, Richland, Washington Abstráct. A direct method for transforming multiple solute transport equations, coupled by linear, series, andor parallel first-order, irreversible reactions, into a series of simple transport equations having known solutions is developed. Introduction To test and verify numerical descriptions of reactive trans- port in porous media, a variety of analytical solutions must be developed. ![]() Such difficulties havé been attributed tó the complexities associatéd with inverse LapIace transformations Lunn ét al., 1996, which have typically been the method used to obtain such analytical solutions. For this reason, analytical solutions are available only for problems with a limited number of equations coupled with serial first-order reactions.
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