An Exact Solution of Transport in Porous Media with Equilibrium and Kinetic Reactions

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This paper presents an analytical solution of reactive transport with equilibrium and kinetic reactions. A benchmark model of A {leftrightarrow} B {leftrightarrow} C {yields} chain reactions is developed for the purpose of verifying numerical computer codes and qualifying mathematical models. A reaction matrix is derived for both the equilibrium and first-order kinetic reactions and further decoupled as a diagonal matrix. Therefore, the partial differential equations (PDEs) coupled by the reaction matrix can be transformed into independent PDEs, for which closed-form solutions exist or can be derived. The analytical solution derived in this paper is compared with numerical results.

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PDF-file: 11 pages; size: 0.5 Mbytes

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Lu, X & Sun, Y April 12, 2006.

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This paper presents an analytical solution of reactive transport with equilibrium and kinetic reactions. A benchmark model of A {leftrightarrow} B {leftrightarrow} C {yields} chain reactions is developed for the purpose of verifying numerical computer codes and qualifying mathematical models. A reaction matrix is derived for both the equilibrium and first-order kinetic reactions and further decoupled as a diagonal matrix. Therefore, the partial differential equations (PDEs) coupled by the reaction matrix can be transformed into independent PDEs, for which closed-form solutions exist or can be derived. The analytical solution derived in this paper is compared with numerical results.

Physical Description

PDF-file: 11 pages; size: 0.5 Mbytes

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  • Journal Name: Transport in Porous Media, vol. 72, no. 2, March 1, 2008, pp. 199-206; Journal Volume: 72; Journal Issue: 2

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  • Report No.: UCRL-JRNL-220600
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 936682
  • Archival Resource Key: ark:/67531/metadc895545

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Office of Scientific & Technical Information Technical Reports

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  • April 12, 2006

Added to The UNT Digital Library

  • Sept. 27, 2016, 1:39 a.m.

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  • Nov. 28, 2016, 1:52 p.m.

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Lu, X & Sun, Y. An Exact Solution of Transport in Porous Media with Equilibrium and Kinetic Reactions, article, April 12, 2006; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc895545/: accessed April 19, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.