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

Journal Article · Wed Apr 12 00:00:00 EDT 2006 · Transport in Porous Media, vol. 72, no. 2, March 1, 2008, pp. 199-206

OSTI ID:936682

Lu, X; Sun, Y

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.

• Research Organization: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 936682
• Report Number(s): UCRL-JRNL-220600; TRN: US200818%%1000
• Journal Information: Transport in Porous Media, vol. 72, no. 2, March 1, 2008, pp. 199-206, Vol. 72, Issue 2
• Country of Publication: United States
• Language: English

Related Subjects

58 GEOSCIENCES
99 GENERAL AND MISCELLANEOUS
ANALYTICAL SOLUTION
BENCHMARKS
CHAIN REACTIONS
COMPUTER CODES
EXACT SOLUTIONS
KINETICS
MATHEMATICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
TRANSPORT