Current situation and existing problems in research of interflow models

Abstract

Abstract: Based on published studies, the models and simulations of interflow were introduced, and the way of classifying interflow models was put forward in this paper.According to the main assumptions contained in these interflow models, they could be divided into three actegories: Richards, kinematic wave and storage-discharge models.The Richards models were further divided into one-dimensional, two-dimensional, and three-dimensional models, and the storage discharge models into kinematic and Boussinesq models.Meanwhile, the advantages and shortcomings of these three types of models were pointed out separately by comparison.

Key words: Interflow, Interflow models, Model classification

Pei Tiefan, Li Jinzhong . Current situation and existing problems in research of interflow models[J]. Chinese Journal of Applied Ecology, 1998, 9(5): 543-548.

References

1 叶自桐. 1987. 用于分析有突变土层界面和水流峰面的非饱和土壤水运动的时间差分格式. 水利学报, (8):1～11.

2 任理. 1990. 有限解析法在求解非饱和土壤水流问题中的应用. 水利学报, (10):55～61.

3 朱学愚等. 1994. 非饱和流动问题的SU PG有限元数值解法. 水利学报, (6):37～42.

4 杨金忠. 1989. 二维饱和与非饱和水分运动的理论及实验研究. 水利学报, (4):55～61.

5 黄康乐. 1987. 求解非饱和土壤水流问题的一种数值方法. 水利学报, (9):9～16.

6 雷志栋、杨诗秀. 1982. 非饱和土壤水一维流动的数值计算. 土壤学报, 19(2):141～153.

7 薛凤海. 1992. 关于用有限元法计算一类边界流量及水力坡度问题的探讨. 水利学报, (7):57～62.

8 Beven, K. 1981. Kinematic subsurface stormflow. W ater Resour. Res. , 17(5):1419～1424.

9 Beven, K. 1982. On subsurface stormflow:prediction wit h simple kinematic t heory for saturated and unsaturated flows. W ater Resour. Res. , 18(6):1627～1633.

10 Binley, A. &Beven, K. 1992. Three dimensional modeling of hillslope hydrology. Hy drological Processes, 6:347～359.

11 Binley, A. et al. 1989. A physically based model of heterogeneous hillslopes 1. Runoff production. W ater Resour. Res. , 25(6):1219～1226.

12 Dagan, G. &Bresler, E. 1983. Unsaturated flow in spatially variable fields 1. Derivation of models infiltration and redistribution. W ater Resour. Res. , 19(2):413～420.

13 Eagleson, P. S. 1978. Climate soil and vegetation 3. A simplified model of soil moisture movement in t he liquid phase. W ater Resour. Res. , 14(5):722～730.

14 Hurley, D. G. &Pantelis, G. 1985. Unsaturated and saturated flow t hrough a t hin porous layer on a hillslope. W ater Resour. Res. , 21(6):821～824.

15 Jackson, C. R. &Cundy, T. W. 1992. A model of transient, topographically driven, saturated subsurface flow. W ater Resour. Res. , 28(5):1417～1427.

16 Johansson, B. 1985. A study of soil water and groundwater flow of hillslopes Using a mathematical model. Nordic Hy drology, 16:67～78.

17 Koide, S. &Wheater, H. S. 1992. Subsurface flow simulation of a small plot at LOCH CHON, SCO TLAND. Hy drological Processes, 6:299～326.

18 Koussis, A. D. 1992. A linear conceptual subsurface storm flow model. W ater Resour. Res. , 28(4):1047～1052.

19 Kubota, J. &Sivapalan, M. 1995. Towards a catchment scale model of subsurface runoff generation based on synt hesis of small scale process2based modeling and field studies. Hy drological Processes, 9:541～554.

20 Mantoglou, A. &Gelhar, L. W. 1987. Stochastic modeling of large scale transient unsaturated flow systems. W ater Resour. Res. , 23(1):37～46.

21 Parkin, G. W. et al. 1995. Analytical solution for one dimensional drainage:Water stored in a fixed dept h. W ater Resour. Res. , 31(5):1267～1271.

22 Philip, J. R. 1992. A linearized solution of t he slope crest infiltration problem. W ater Resour. Res. , 28(4):1121～1132.

23 Robinson, J. S. &Sivapalan, M. 1996. Instantaneous response functions of overland flow and subsurface stormflow for catchment models. Hy drological Processes, 10:845～862.

24 Russo, D. &Bresler, E. 1981. Effect of field variability in soil hydraulic properties on solutions of unsaturated water and salt flow. Soil Soc. A m. Proc. , 45(4):675～681.

25 Salvucci, G. D. 1996. Series solution for Richards equation under concentration boundary conditions and uniform initial conditions. W ater Resour. Res. , 32(8):2401～2407.

26 Serrano, S. E. 1995. Analytical solutions of t he nonlinear groundwater flow equation in unconfined aquifers and t he effect of heterogeneneity. W ater Resour. Res. , 31(11):2733～2742.

27 Sharma, M. L. et al. 1987. Subsurface water flow simulated for hillslopes wit h spatially dependent soil hydraulic characteristics. W ater Resour. Res. , 23(8):1523～1530.

28 Sivapalan, M. et al. 1987. On hydrologic similarit y2. A scaled model of storm runoff production. W ater Resour. Res. , 23(12):2266～2278.

29 Sloan, P. G. &Moore, I. D. 1984. Modeling subsurface stormflow on steeply sloping forested watersheds. W ater Resour. Res. , 20(12):1815～1822.

30 Smit h, R. E. &Diekkruger, B. 1996. Effective soil water characteristics and ensemble soil water profiles in heterogeneous soil. Journal Geophysical Research, 32(7):1993～2002.

31 Smit h, R. E. &Hebbert, R. H. B. 1983. Mat hematical simulation of interdependent surface and subsurface hydrologic processes. W ater Resour. Res. , 19(4):987～1001.

32 Stagnitti, F. et al. 1992. A mat hematical model of hillslope and watershed discharge. W ater Resour. Res. , 28(8):2111～2122.

33 Storm, B. 1991. Modeling of saturated flow and t he coupling of surface and subsurface flow. Recent Advances in The Modeling of Hydrologic Systems. Bovles, D. S. &Connell, P. E. O. (eds.), pp. 185～203.

34 Yeh, T. C. J. &Zhang, J. 1996. A geostatistical inverse met hod for variably saturated flow in t he vadose zone. W ater Resour. Res. , 32(9):2757～2766.

35 Youngs, E. G. 1957. Moisture profiles during vertical infiltration. Soil Sci. , 84:283～290.