Uncertainty Quantification
  1. Analytical solutions for unsaturated flow in layered, heterogeneous media using
  2. Kirchhoff transformation (Lu and Zhang, AWR, 2004)
  3. direct solution (Lu, Zhang, and Robinson, submitted to WRR, 2005).
  4. with root uptake (Yuan and Lu, VZJ, 2005).

    5.
  5. Uncertainty quantification for flow in heterogeneous media using Karhunen-Loeve decomposition:
  6. Methodology development (Zhang and Lu, JCP, 2004a);
  7. Comparison of efficiency and accuracy of KLME, MC, and ME methods (Lu and Zhang, SIAM J Sci. Comput., 2004 );
  8. Unsaturated flow (Yang, Zhang, and Lu, JH, 2004);
  9. Conditional saturated flow (Lu and Zhang, AWR, 2004);
  10. Two-phase (water and oil) steady state flow with exponential constitutive relationships (Chen, Zhang, Kelley, and Lu, WRR, 2005 );
  11. 3D transient flow (Lu and Zhang, SPE, 2006);
  12. Two-phase (water and oil) transient flow with von Genuchton constitutive relationships (Chen et al., WRR, 2006)
  13. Unconfined fluid flow (Liu, Zhang, and Lu, WRR, 2006)
  14. Solute transport (Liu, Lu, and Zhang, WRR, in press)
  15. Composite domain (Lu and Zhang, Multiscale Modeling & Simulation, 2007))

    16.
  16. Analytical solutions to quantifying uncertainty for two-dimensional transient flow in heterogeneous media
  17. for uniform mean flow (Lu and Zhang, WRR, 2005)
  18. radial flow (in preparation)

    19.
  19. Solute spreading in nonstationary flow; (Lu and Zhang, WRR, 2003a);

  20. Well capture zones in heterogeneous media; (Lu and Zhang, WRR, 2003b; Zhang and Lu, SERRA, 2004);

  21. Flow in multi-modal randomly heterogeneous media (Lu and Zhang, WRR, 2002b);

  22. Integrated unsaturated/saturated heterogeneous media
  23. using exponential constitutive relationships (Zhang and Lu, WRR, 2002);
  24. using Von Genuchton constitutive relationships (Lu and Zhang, VZJ, 2002a).
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