Finite element modelling of dissipative structures for nonequilibrium chemical reactions in fluid-saturated porous media

Computer Methods in Applied Mechanics and Engineering

Volumn 184, Issue 1, 2000, Pages 1-14

  Zhao, Chongbin ^a   Hobbs, B E ^a   Muhlhaus H B ^a   Ord, A ^a  

^a CSIRO   (Australia)

Author keywords

Chemical instability; Dissipative structures; Finite element modelling; Nonequilibrium chemical reaction; Porous medium; Self organization

Indexed keywords

FINITE ELEMENT METHOD; FLOW OF FLUIDS; MATHEMATICAL MODELS; POROUS MATERIALS; PROBLEM SOLVING; STABILITY;

CHEMICAL INSTABILITY; DISSIPATIVE STRUCTURES; NONEQUILIBRIUM CHEMICAL REACTION;

REACTION KINETICS;

CHEMICAL REACTION; DISSIPATION; FINITE ELEMENT ANALYSIS; POROUS MEDIUM;

EID: 0034737675     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(99)00449-1     Document Type: Article

References (16)

1. Prigogine I. From Being to Becoming. 1980;Freeman, New York.
2. Horton C.W., Rogers F.T. Convection currents in a porous medium. J. Appl. Phys. 16:1945;367-370.
3. Lapwood E.R. Convection of a fluid in a porous medium. Proc. Camb. Phil. Soc. 44:1948;508-521.
4. Nield D.A., Bejan A. Convection in Porous Media. 1992;Springer, New York.
5. Zhao C., Mühlhaus H.B., Hobbs B.E. Finite element analysis of steady-state natural convection problems in fluid-saturated porous media heated from below. Int. J. Numer. Anal. Methods Geomech. 21:1997;863-881.
6. Zhao C., Mühlhaus H.B., Hobbs B.E. Effects of geological inhomogeneity on high Rayleigh number heat and mass transfer in fluid-saturated porous media heated from below. Int. J. Comput. Meth.: Numer. Heat Transfer. 33:1998;415-431.
7. Zhao C., Hobbs B.E., Mühlhaus H.B. Finite element modelling of temperature gradient driven rock alteration and mineralization in porous rock masses. Comput. Methods Appl. Mech. Engrg. 165:1998;175-186.
8. Zhao C., Hobbs B.E., Mühlhaus H.B. Effects of medium thermoelasticity on high Rayleigh number steady-state heat transfer and mineralization in deformable fluid-saturated porous media heated from below. Comput. Methods Appl. Mech. Engrg. 173:1999;41-54.
9. Zhao C., Hobbs B.E., Mühlhaus H.B. Theoretical and numerical analyses of convective instability in porous media with upward throughflow. Int. J. Numer. Anal. Methods Geomech. 23:1999;629-646.
10. Zhao C., Hobbs B.E., Mühlhaus H.B. Finite element modelling of reactive mass transport problems in fluid-saturated porous media. Commun. Numer. Methods Engrg. 15:1999;501-513.
11. Zhao C., Xu T.P., Valliappan S. Numerical modelling of mass transport problems in porous media: a review. Comput. Struct. 53:1993;849-860.
12. Zhao C. Mapped transient infinite elements for contaminant migration problems in infinite media. Int. J. Water Resource Engrg. 1:1993;33-53.
13. Zhao C., Valliappan S. Transient infinite elements for contaminant transport problems. Int. J. Numer. Methods Engrg. 37:1994;1143-1158.
14. Zhao C., Valliappan S. Numerical modelling of transient contaminant migration problems in infinite porous fractured media using finite/infinite element technique: Theory. Int. J. Numer. Anal. Methods Geomech. 18:1994;523-541.
15. Zhao C., Valliappan S. Numerical modelling of transient contaminant migration problems in infinite porous fractured media using finite/infinite element technique: parametric study. Int. J. Numer. Anal. Methods Geomech. 18:1994;543-564.
16. Zienkiewicz O.C. The Finite Element Method. 1977;McGraw-Hill, London.