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A subsurface runoff parameterization with water storage and recharge based on the Boussinesq-storage equation for a land surface model

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Abstract

Subsurface runoff in a land surface model is usually parameterized as a single-valued function of total storage in a basin aquifer reservoir. This kind of parameterization is often single-valued function of storage-discharge under a steady or “quasi-steady” state, which cannot represent the influence of aquifer recharge on subsurface runoff generation. In this paper, a new subsurface runoff parameterization with water storage and recharge based on the Boussinesq-storage equation is developed. This model is validated by a subsurface flow separation algorithm for an example river basin, which shows that the new model can simulate the subsurface flow reasonably.

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References

  1. Liang X, Xie Z H. A new surface runoff parameterization with subgrid-scale soil heterogeneity for land surface models. Adv Water R, 2001, 24(9–10): 1173–1193

    Article  Google Scholar 

  2. Liang X, Xie Z H. Important factors in land-atmosphere interactions: surface runoff generation and interactions between surface runoff and groundwater. Glob Planet Change, 2003, 38: 101–114

    Article  Google Scholar 

  3. Xie Z H, Su F G, Liang X, et al. Application of a surface runoff model with Horton and Dunne runoff for VIC. Adv Atmos Sci. 2003, 20(2): 165–172

    Google Scholar 

  4. Su F G, Xie Z H. A model for assessing effects of climate change on runoff in China. Prog Nat Sci, 2003, 13(9): 701–707

    Article  Google Scholar 

  5. Xie Z H, Zeng Q C, Dai Y J, et al. Numerical simulation of an unsaturated flow equation, Sci China Ser D-Earth Sci, 1998, 4(14): 429–436

    Article  Google Scholar 

  6. Xie Z H, Luo Z D, Zeng Q C, et al. A numerical simulation solving soil moisture content and flux for an unsaturated soil water flow problem. Prog Nat Sci, 1999, 9(9): 1280–1286

    Google Scholar 

  7. Xie Z H, Liang X, Zeng Q C. A parameterization of groundwater table in a land surface model and its applications. Chin J Atmos Sci, 2004, 28(3): 378–384

    Google Scholar 

  8. Liang X, Xie Z H, Huang M Y. A new parameterization for groundwater and surface water interactions and its impact on water budgets with VIC land surface model. J Geophys Res, 2003, 108(D16): 8613–8629

    Article  Google Scholar 

  9. Yang H W, Xie Z G. A new method to dynamically simulate groundwater table in land surface model VIC. Prog Nat Sci, 2003, 13(10): 615–620

    Article  Google Scholar 

  10. Dunne T, Black R D. Partial area contributions to storm runoff in a small New England watershed. Water Resour Res, 1970, 6(5): 1296–1311

    Google Scholar 

  11. Sloan P G, Moore I D. Modeling subsurface stormflow on steeply sloping forested watersheds. Water Resour Res, 1984, 20(12): 1815–1822

    Google Scholar 

  12. Brutsaert W, Nieber J L. Regionalized drought flow hydrographs from a mature glaciated plateau. Water Resour Res, 1977, 13(3): 1511–1517

    Google Scholar 

  13. Sloan W T. A physics-based function for modeling transient groundwater discharge at the watershed scale. Water Resour Res, 2000, 36(1): 225–241

    Article  Google Scholar 

  14. Tallaksen L M. A review of base flow recession analysis. J Hydrol, 1995, 165: 349–370

    Article  Google Scholar 

  15. Beven K J, Kirkby M J. A physically based, variable contributing area model of basin hydrology. Hydrol Sci Bull, 1979, 24(1): 43–69

    Article  Google Scholar 

  16. Ambroise B, Beven K J, Freer J. Toward a generalization of the TOPMODEL concepts: Topographic indices of hydrological similarity. Water Resour Res, 1996, 32(7): 2135–2146

    Article  Google Scholar 

  17. Lamb R, Beven K J, Myrabo S. Discharge and water table predictions using a generalized TOPMODEL formulation. Hydrol Process, 1997, 11: 1145–1167

    Article  Google Scholar 

  18. Beven K. TOPMODEL: A critique. Hydrol Process, 1997, 11: 1067–1085

    Article  Google Scholar 

  19. Sivapalan M, Wood E F, Beven K J. On hydrologic similarity, 3, A dimensionless flood frequency model using a generalized geomorphologic unit hydrologic and partial area runoff generation, Water Resour Res, 1990, 26: 43–58

    Article  Google Scholar 

  20. Brutsaert W. The unit response of groundwater outflow from a hillslope. Water Resour Res, 1994, 30: 2759–2663

    Article  Google Scholar 

  21. Verhoest N E C, Troch P A. Some analytical solutions of the linearized Boussinesq equation with recharge for a sloping aquifer. Water Resour Res, 2000, 36: 793–800

    Article  Google Scholar 

  22. Pauwels V R N, Verhoest N E C, De Troch F P. Estimating the effect of changing river water levels on the water table configuration through an analytical solution of the Boussinesq equation, EOS. Trans. Agu, 82(10), Spring Meet. Suppl., abstract H42c-03, 2001

  23. Jiang L S, Chen Y Z, Liu X Y, et al. Mathematical Physics Equations Printed Lectures (Second Edition)(in Chinese). Beijing: Higher Education Press, 1996

    Google Scholar 

  24. Bear J. Dynamics of Fluids in Porous Media, New York: Dover Pub. Inc., 1972. 764

    Google Scholar 

  25. Dai Y J, Zeng X B, Dickison E, et al. The Common Land Model. American Meteorological Society, August, 2003, 1013–1023

  26. Dickison R E, Henderson-Sellers A, Kennedy P J. Biosphere-Atmosphere Transfer Scheme (BATS) Version le as coupled to the NCAR Community Climate Model. NCAR Technical Note TN-387+STR, August 1993, 72

  27. Bonan G B. The land surface climatology of the NCAR land surface model coupled to the NCAR Community Climate Model. J Climate, 1998, 11: 1307–1326

    Article  Google Scholar 

  28. Dai Y G, Zeng Q C. A land-surface model (IAP94) for climate study, Part I: Formulation and validation in off-line experiments. Adv Atmos Sci, 1998, 14(4): 433–460

    Google Scholar 

  29. Zeng X B, Muhammad S, Dai Y J, et al. Coupling of the Common Land Model to the NCAR Community Climate Model. J Climate, 2002, 15: 1832–1854

    Article  Google Scholar 

  30. Keith W, Oleson, Dai Y J, Gordon B, et al. Technical description of the community land model (CLM), 2005, www.cgd.ucar.edu/tss/clm/distribution/clm3.0/TechNote/CLM_Tech_Note.pdf

  31. Witternberg H. Base flow recession and recharge as a nonlinear storage process. Hydrol Process, 1999, 13: 715–726

    Article  Google Scholar 

  32. Troch P A, De Troch F P, Brutsaert W. Effective water table depth to describe initial conditions prior to storm rainfall in humid regions, Water Resour Res, 1993, 29: 427–434

    Article  Google Scholar 

  33. Chapman T. A comparison of algorithm for stream flow recession and baseflow separation. Hydrol Process, 1999, 13: 701–714

    Article  Google Scholar 

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Correspondence to Xie Zhenghui.

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Tian, X., Xie, Z., Zhang, S. et al. A subsurface runoff parameterization with water storage and recharge based on the Boussinesq-storage equation for a land surface model. SCI CHINA SER D 49, 622–631 (2006). https://doi.org/10.1007/s11430-006-0622-z

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  • DOI: https://doi.org/10.1007/s11430-006-0622-z

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