How do disconnected macropores in sloping soils facilitate preferential flow?
Corresponding Author
John L. Nieber
Department of Bioproducts and Biosystems Engineering, University of Minnesota, 1390 Eckles Ave, St Paul, MN 55108, USA
Department of Bioproducts and Biosystems Engineering, University of Minnesota, 1390 Eckles Ave, St Paul, MN 55108, USA.===Search for more papers by this authorRoy C. Sidle
Department of Geology, Environmental Science Program, Appalachian State University, PO Box 32067, Boone, NC 28608, USA
Search for more papers by this authorCorresponding Author
John L. Nieber
Department of Bioproducts and Biosystems Engineering, University of Minnesota, 1390 Eckles Ave, St Paul, MN 55108, USA
Department of Bioproducts and Biosystems Engineering, University of Minnesota, 1390 Eckles Ave, St Paul, MN 55108, USA.===Search for more papers by this authorRoy C. Sidle
Department of Geology, Environmental Science Program, Appalachian State University, PO Box 32067, Boone, NC 28608, USA
Search for more papers by this authorAbstract
Runoff from hillslopes is generated by processes such as infiltration-excess and saturation overland flow, subsurface stormflow and subsurface return flow. Preferential flow through macropores can affect any one of these runoff generation processes. Field studies at the Hitachi Ohta Experimental Watershed in Japan have noted that self-organization processes may manifest the connectivity of such subsurface flow paths, particularly via macropores, from hillslopes to stream channels. It is well established from soil physics principles that the connectivity of macropore networks depends on soil wetness and this has been shown experimentally at Hitachi Ohta where subsurface flow and streamflow respond to thresholds of wetness. Numerical solutions to the three-dimensional Richards equation are derived for a sloping soil block containing a population of disconnected macropores of various sizes, shapes and orientations. Solutions for the case of steady water flux applied to the surface of the soil block are evaluated to determine the conditions where the disconnected macropores become active in the flow process. Results show that subsurface flow is directed through the preferential flow network in the saturated portion of the soil but bypasses the macropores in the drier regions. The preferential flow network expands as the degree of saturation increases. The expanding network of active macropores leads to less resistance to overall flow in the domain and access to increased volumes of the flow domain. Although the individual macropores are disconnected, it is argued that large localized hydraulic gradients can potentially lead to preferred zones of subsurface erosion. In addition to the importance of these findings related to stormflow generation in catchments, they add support to the concept of self-organization of subsurface flow systems in soils. Copyright © 2010 John Wiley & Sons, Ltd.
REFERENCES
- Akay O, Fox GA, Šimùnek J. 2008. Numerical simulation of flow dynamics during macropore—subsurface drain interactions using HYDRUS. Vadose Zone Journal 7: 909–918.
- Amerman CR. 1965. The use of unit-source watershed data for runoff prediction. Water Resources Research 1(4): 499–507.
- Anderson AE, Weiler M, Alila Y, Hudson RO. 2009. Dye staining and excavation of a lateral preferential flow network. Hydrology and Earth System Sciences 13: 935–944.
- Bakker M, Nieber JL, 2005. Two-dimensional steady unsaturated flow through embedded elliptical layers. Water Resources Research 40: W12406, DOI:10.1029/2004WR0032995.
- Bejan A. 2000. Shape and Structure, from Engineering to Nature. Cambridge University Press: Cambridge, UK.
- Botschek J, Krause S, Abel T, Skowronek A. 2002. Hydrological parameterization of piping in loess-rich soils in the Bergisches Land, Nordrhein-Westfalen, Germany. Journal of Plant Nutrition and Soil Sciences 165: 506–510.
- Buttle JM, MacDonald DJ. 2002. Coupled vertical and lateral preferential flow on a forested slope. Water Resources Research 38(5): 1060. DOI: 10.1029/2001WR000773.
- Castiglione P, Mohanty BP, Shouse PJ, Simunek J, van Genuchten MTh, Santini A. 2003. Lateral water diffusion in an artificial macroporous system: modeling and experimental evidence. Vadose Zone Journal 2: 212–221.
- COMSOL. 2009. COMSOL Multiphysics 3.5a. COMSOL Inc.: Burlington, MA.
- Deurer M, Green SR, Clothier BE, Bottcher J, Duijnisveld WHM. 2003. Drainage networks in soils. A concept to describe bypass-flow pathways. Journal of Hydrology 272: 148–162.
- Dunne T. 1990. Hydrology, mechanics, and geomorphic implications of erosion by subsurface flow. In Groundwater Geomorphology: The Role of Subsurface Water in Earth-Surface Processes and Landforms, CG Higgins, DR Coates (eds). Special Paper 252; Geological Society of America, Boulder, CO, 1–28.
10.1130/SPE252-p1 Google Scholar
- Dunne T, Black RD. 1970. An experimental investigation of runoff production in permeable soils. Water Resources Research 6: 478–490.
- Fox GA, Wilson GV, Perikati RK, Cullum RF. 2006. Sediment transport model for seepage erosion of streambank sediment. Journal of Hydrologic Engineering 11(6): 603–611.
- Hagerty DJ. 1991a. Piping/sapping erosion: 1. Basic considerations. Journal of Hydraulic Engineering 117: 991–1008.
- Hagerty DJ. 1991b. Piping/sapping erosion: 2. Identification/diagnosis. Journal of Hydraulic Engineering 117: 1009–1025.
- Hewlett JD, Hibbert AR. 1967. Factors affecting the response of small watersheds to precipitation in humid areas. In Proceedings of the International Symposium on Forest Hydrology, WE Sopper, HW Lull (eds). Pergamon: New York; 275–290.
- Howard AD, McLane CF III. 1988. Erosion of cohesiveless sediment by ground water seepage. Water Resources Research 24: 1659–1674.
- Hunt A. 2005. Percolation Theory for Flow in Porous Media. Springer: Berlin; 202 p.
10.1007/b136727 Google Scholar
- Hursh CR, Brater EF. 1941. Separating storm-hydrographs from small drainage areas into surface- and subsurface-flow. Transactions of the American Geophysical Union 22: 863–871.
- James AL, Roulet NT. 2007. Investigating hydrological connectivity and its association with threshold change in runoff response in a temperate forested watershed. Hydrological Processes 21: 3391–3408.
- Jones JAA. 1987. The initiation of natural drainage networks. Progress in Physics and Geography 11(2): 207–245.
- Jones JAA. 1997. Pipeflow contributing areas and runoff response. Hydrological Processes 11: 35–41.
10.1002/(SICI)1099-1085(199701)11:1<35::AID-HYP401>3.0.CO;2-B CAS PubMed Web of Science® Google Scholar
- Kitahara H. 1989. Characteristics of pipe flow in a subsurface soil layer on a gentle slope (II) hydraulic properties of pipes. Journal of the Japanese Forestry Society 71(8): 317–322 (in Japanese).
- Köhne JM, Mohanty BP, Šimùnek J. 2006. Inverse dual-permeability modeling of preferential water flow in a soil column and implications for field-scale solute transport. Vadose Zone Journal 5: 59–76.
- Kosugi K, Uchida T, Mizuyama T. 2004. Numerical calculation of soil pipe flow and its effect on water dynamics in a slope. Hydrological Processes 18: 777–789.
- Lehmann P, Hinz C, McGrath G, Tromp-van Meerveld HJ, McDonnell JJ. 2007. Rainfall threshold for hillslope outflow: an emergent property of flow pathway connectivity. Hydrology and Earth System Sciences 11: 1047–1063.
- Lin H. 2006. Temporal stability of soil moisture spatial pattern and subsurface preferential flow pathways in the Shale Hills catchment. Vadose Zone Journal 5: 317–340.
- Lorente S, Bejan A. 2006. Heterogeneous porous media as multiscale structures for maximum flow access. Journal of Applied Physics 100: 114909.
- Luxmoore RJ, Ferrand LA. 1993. Towards pore-scale analysis of preferential flow and chemical transport. In Water Flow and Solute Transport in Soils, D Russo, G Dagen (eds). Springer-Verlag: Berlin; 45–60.
10.1007/978-3-642-77947-3_5 Google Scholar
- McDonnell JJ, Stewart MK, Owens IF. 1991. Effect of catchment-scale subsurface mixing on stream isotopic response. Water Resources Research 27: 3065–3073.
- Montgomery DR, Dietrich WE, Torres R, Anderson SP, Heffner JT, Loague K. 1997. Hydrologic response of a steep, unchanneled valley to natural and applied rainfall. Water Resources Research 33: 91–109.
- Mooney SJ. 2002. Three-dimensional visualization and quantification of soil macroporosity and water flow patterns using computed tomography. Soil Use and Management 18: 142–151.
- Mori Y, Iwama K, Maruyama T, Mitsuno T. 1999. Discriminating the influence of soil texture and management-induced changes in macropore flow using soft X-rays. Soil Science 164: 467–482.
- Mosley MP. 1979. Streamflow generation in a forested catchment. Water Resources Research 15: 795–806.
- Mosley MP. 1982. Subsurface flow velocities through selected forest soils, south island, New Zealand. Journal of Hydrology 55: 65–92.
- Mulungu DMM, Ichikawa Y, Shiiba M. 2005. A physically based distributed subsurface-surface flow dynamics model for forested mountainous catchments. Hydrological Processes 19: 3999–4022.
- Nieber JL, Steenhuis TS, Walter T, Bakker M. 2006. Enhancement of seepage and lateral preferential flow by biopores on hillslopes. Biologia 61: S225–S228.
- Noguchi S, Tsuboyama Y, Sidle RC, Hosoda I. 1997. Spatially distributed morphological characteristics of macropores in forest soils of Hitachi Ohta Experimental Watershed, Japan. Journal of Forest Research 2(4): 207–215.
10.1007/BF02348317 Google Scholar
- Noguchi S, Tsuboyama Y, Sidle RC, Hosada I. 1999. Morphological characteristics of macropores and the distribution of preferential flow pathways in a forested slope segment. Soil Science Society of America Journal 63: 1413–1423.
- Oldenburg CM, Pruess K. 1993. On numerical modeling of capillary barriers. Water Resources Research 29: 1045–1056.
- Perret J, Prasher SO, Kantzas A, Langford C. 1999. Three-dimensional quantification of macropore networks in undisturbed soil cores. Soil Science Society of America Journal 63: 1530–1543.
- Pierson TC. 1983. Soil pipes and slope stability. Quaterly Journal of Engineering Geology 16: 1–11.
- Podgorney RK, Fairley JP. 2008. Investigation of episodic flow from unsaturated porous media into a macropore. Vadose Zone Journal 7: 332–339.
- Ragan RM. 1967. An experimental investigation of partial area contributions. Proceedings of the Berne Symposium. International Association of Scientific Hydrology 70: 241–249.
- Saad Y. 1996. Iteration methods for sparse linear systems, PWS Pub. Co.: Boston; 447 pp.
- Sayer AM, Walsh RPD, Bidin K. 2006. Pipeflow suspended sediment dynamics and their contribution to stream sediment budgets in small rainforest catchments, Sabah, Malaysia. Forest Ecology and Management 224: 119–130.
- Seibert J, McDonnell JJ. 2002. On the dialog between experimentalist and modeler in catchment hydrology: use of soft data for multicriteria model calibration. Water Resources Research 38: 1241. DOI: 10.1029/2001WR000978.
- Shi ZJ, Wang YH, Xu LH, Yu PT, Xiong W, Xu DP. 2007. Soil macropore characteristics under typical vegetations in Liupan Mountains. Journal of Applied Ecology (China) 18(12): 2675–2680 (in Chinese).
- Sidle RC. 2006. Field observations and process understanding in hydrology: essential components in scaling. Hydrological Processes 20: 1439–1445.
- Sidle RC, Tsuboyama Y, Noguchi S, Hosoda I, Fujieda M, Shimizu T. 1995a. Seasonal hydrologic response at various spatial scales in a small forested catchment, Hitachi Ohta, Japan. Journal of Hydrology 168: 227–250.
- Sidle RC, Kitahara H, Terajima T, Nakai Y. 1995b. Experimental studies on the effects of pipeflow on throughflow partitioning. Journal of Hydrology 165: 207–219.
- Sidle RC, Noguchi S, Tsuboyama Y, Laursen K. 2001. A conceptual model of preferential flow systems in forested hillslopes: evidence of self-organization. Hydrological Processes 15: 1675–1692.
- Sidle RC, Ochiai H. 2006. Landslides: Processes, Prediction, and Land Use. American Geophysical Union, Water Resources Monograph No. 18, AGU: Washington, DC; 312 p.
- Sidle RC, Tsuboyama Y, Noguchi S, Hosada I, Fujieda M, Shimizu T. 2000. Stormflow generation in steep forested headwaters: a linked hydrogeomorphic paradigm. Hydrological Processes 14: 369–385.
- Sivapalan M. 2003. Process complexity at hillslope scale, process simplicity at the watershed scale: is there a connection?. Hydrological Processes 17: 1037–1041.
- Spence C, Woo MK. 2003. Hydrology of subarctic Canadian Shield: soil-filled valleys. Journal of Hydrology 279: 151–166.
- Tanaka T, Yasuhara M, Sakai H, Marui A. 1988. The Hachioji experimental basin study—storm runoff processes and the mechanism of its generation. Journal of Hydrology 102: 139–164.
- Tani M. 1997. Runoff generation processes estimated from hydrologic observations on a steep forested hillslope with a thin soil layer. Journal of Hydrology 200: 84–109.
- Tani M. 2008. Analysis of runoff-storage relationships to evaluate the runoff-buffering potential of a sloping permeable domain. Journal of Hydrology 360: 132–146.
- Terajima T, Moroto K. 1990. Stream flow generation in a small watershed in granitic mountain. Transactions of the Japanese Geomorphological Union 11(2): 75–96 (in Japanese).
- Terajima T, Sakamoto T, Nakau Y, Kitamura K. 1997. Suspended sediment discharge in subsurface flow from the head hollow of a small forested watershed, Northern Japan. Earth Surface Processes Landforms 22: 987–1000.
- Troch PA, Carrillo GA, Heidbuchel I, Rajagopal S, Switanek M, Volkman THM, Yaeger M. 2009. Dealing with landscape heterogeneity in watershed hydrology: a review of recent progress toward new hydrological theory. Geography Compass 3(1): 375–392.
10.1111/j.1749-8198.2008.00186.x Google Scholar
- Tromp-van Meerveld HJ, McDonnell JJ. 2006. Threshold relations in subsurface stormflow. 2. The fill and spill hypothesis. Water Resources Research 42(W02411): DOI: 10.1029/2004WR003800.
- Tromp-van Meerveld I, Weiler M. 2008. Hillslope dynamics modeled with increasing complexity. Journal of Hydrology 361: 24–40.
- Tsuboyama Y, Sidle RC, Noguchi S, Hosada I. 1994. Flow and transport through the soil matrix and macropores of a hillslope segment. Water Resources Research 30: 879–890.
- Tsukamoto Y, Ohta T. 1988. Runoff processes on a steep forested slope. Journal of Hydrology 102: 165–178.
- Tsutsumi D, Sidle RC, Fujita M, Mizuyama T. 2004. Numerical experiments to assess the influence of pipeflow on slope stability. Journal of Hydraulic Engineering, JSCE (Japan Society of Civil Engineers) 48: 337–342 (in Japanese).
- Tsutsumi D, Sidle RC, Kosugi K. 2005. Development of a simple lateral preferential flow model with steady state application in hillslope soils. Water Resources Research 41(W12420): DOI: 10.1029/2004WR003877.
- Uchida T, Tromp-van Meerveld I, McDonnell JJ. 2005. The role of lateral pipe flow in hillslope runoff response: an intercomparison of non-linear hillslope response. Journal of Hydrology 311: 117–133.
- Valentin C, Poesen J, Li Y. 2005. Gully erosion: impacts, factors, and control. Catena 63: 132–153.
- van Genuchten MTH. 1980. A closed form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Science Society America Journal 44: 892–898.
- Weiler M, Flühler H. 2004. Inferring flow types from dye patterns in macroporous soils. Geoderma 120: 137–153.
- Weiler M, McDonnell JJ. 2007. Conceptualizing lateral preferential flow and flow networks and simulating the effects on gauged and ungauged hillslopes. Water Resources Research 43(W03403): DOI: 10.1029/2006WR004867.
- Weiler M, Naef F. 2003. Simulating surface and subsurface initiation of macropore flow. Journal of Hydrology 273: 139–154.
- Western AW, Blöschl G, Grayson RB. 2001. Toward capturing hydrologically significant connectivity in spatial patterns. Water Resources Research 37: 83–97.
- Weyman DR. 1973. Measurement of the downslope flow in a soil. Journal of Hydrology 20: 267–288.
10.1016/0022-1694(73)90065-6 Google Scholar
- Whipkey RZ. 1965. Subsurface stormflow from forested slopes. Bulletin of the International Association Scientific Hydrology 10(2): 74–85.
10.1080/02626666509493392 Google Scholar
- Wilson GV, Jardine PM, Luxmoore RJ, Jones JR. 1990. Hydrology of a forested hillslope during storm events. Geoderma 46: 119–138.
- Zehe E, Sivapalan M. 2009. Threshold behavior in hydrological systems as (human) geo-ecosystems: manifestations, controls, implications. Hydrology Earth System Sciences 13: 1273–1297.
- Zhang GP, Savenije HHG, Fenicia F, Pfister L. 2006. Modelling subsurface storm flow with Representative Elementary Watershed (REW) approach: application to the Alzette River Basin. Hydrology Earth System Sciences 10: 937–955.