Abstract
We developed and applied a computational model for simulating unsteady flow in a drainage network of a boreal forested peatland site. The input to the model was the hourly runoff produced by a hydrological model. The simulations of the flow in the ditch network were performed using an iterative procedure for solving the Saint-Venant equations that govern the flow in each of the network channels. These equations were solved separately for each ditch branch, and the flow depths at the junctions were corrected using the method of characteristics. The model was applied to the drainage network of a peatland catchment in Eastern Finland over a period of 15 months. Because flow resistance in the ditches depended strongly on flow conditions, flow resistance (Manning’s n) was introduced as a function of discharge. The model was calibrated and validated against field data and the simulation results were further applied to assess erosion risk. The highest risk of erosion occurred during long lasting flows induced by snowmelt at ditch sections with a steep slope and a large upstream area. These model results can aid in the design and siting of water protection measures within the drained area.
Similar content being viewed by others
References
Abdelsalam M, Khattab A, Khalifa A, Bakry M (1992) Flow capacity through wide and submerged vegetal channels. J Irrig Drain Eng 118(5):724–732
Allen RG, Trezza R, Tasumi M (2006) Analytical integrated functions for daily solar radiation on slopes. Agric For Meteorol 139(1):55–73
Amatya D, Skaggs R, Gregory J (1997) Evaluation of a watershed scale forest hydrologic model. Agric Water Manag 32(3):239–258
Armstrong A, Holden J, Kay P, Foulger M, Gledhill S, McDonald A, Walker A (2009) Drain-blocking techniques on blanket peat: a framework for best practice. J Environ Manag 90(11):3512–3519
Biron PM, Robson C, Lapointe MF, Gaskin SJ (2004) Comparing different methods of bed shear stress estimates in simple and complex flow fields. Earth Surf Process Landf 29(11):1403–1415
Carling PA, Glaister MS, Flintham TP (1997) The erodibility of upland soils and the design of preafforestation drainage networks in the United Kingdom. Hydrol Process 11(15):1963–1980
Cunge J, Holly F, Verwey A (1980) Practical aspects of computational river hydraulics. Pitman Advanced Pub. Program, Boston
Finnish Forest Research Institute (2013) Finnish Statistical Yearbook of Forestry
Giraud F, Faure J, Zimmer D, Lefeuvre J, Skaggs R (1997) Hydrologic modeling of a complex wetland. J Irrig Drain Eng 123(5):344–353
Graf WH (1984) Hydraulics of sediment transport. Water Resources Publication, Colorado
Haahti K (2014) Flow simulation in a ditch network of a drained peatland forest catchment in Eastern Finland. Master’s Thesis, Aalto University, School of engineering, Department of Civil and Environmental Engineering
Holden J, Gascoign M, Bosanko NR (2007) Erosion and natural revegetation associated with surface land drains in upland peatlands. Earth Surf Process Landf 32(10):1547–1557
Hosia L (1980) Pienten uomien virtausvastuskerroin. Vesihallituksen tiedotus 199. Vesihallitus, Helsinki
Iritz L, Johansson B, Lundin L (1994) Impacts of forest drainage on floods. Hydrol Sci J 39(6):637–661
Islam A, Raghuwanshi N, Singh R, Sen D (2005) Comparison of gradually varied flow computation algorithms for open-channel network. J Irrig Drain Eng 131(5):457–465
Järvelä J, Helmiö T (2004) Hydraulic considerations in restoring boreal streams. Nordic Hydrol 35(3):223–235
Jenson S, Domingue J (1988) Extracting topographic structure from digital elevation data for geographic information system analysis. Photogramm Eng Remote Sens 54(11):1593–1600
Joensuu S (2002) Effects of ditch network maintenance and sedimentation ponds on export loads of suspended solids and nutrients from peatland forests. Dissertation, Finnish Forest Research Institute, Vantaa Research Centre
Joensuu S, Ahti E, Vuollekoski M (1999) The effects of peatland forest ditch maintenance on suspended solids in runoff. Boreal Environ Res 4(4):343–356
Joensuu S, Makkonen T, Vuollekoski M, Nieminen M, Leinonen A, Sarkkola S (2008) Metsätalouden vesiensuojelu. Vesitalous 6(2008):19–25
Kløve B (1998) Erosion and sediment delivery from peat mines. Soil Tillage Res 45(1):199–216
Kløve B (2000) Effect of peat harvesting on peat hydraulic properties and runoff generation. Mires and Peat 51(3):121–129
Koivusalo H, Kokkonen T, Laurén A, Ahtiainen M, Karvonen T, Mannerkoski H, Penttinen S, Seuna P, Starr M, Finér L (2006) Parameterisation and application of a hillslope hydrological model to assess impacts of a forest clear-cutting on runoff generation. Environ Model Softw 21(9):1324–1339
Koivusalo H, Hökkä H, Lauren A, Nikinmaa E, Laine J, Ahti E (2008a) Splitting the water balance of drained peatland forests into hydrological components. In: Farrell C, Feehan J (eds) After Wise Use – The Future of Peatlands: Proceedings of the 13th International Peat Congress. International Peat Society, Ireland, pp 485–487
Koivusalo H, Ahti E, Laurén A, Kokkonen T, Karvonen T, Nevalainen R, Finér L (2008b) Impacts of ditch cleaning on hydrological processes in a drained peatland forest. Hydrol Earth Syst Sci 12(5):1211–1227
Konyha K, Skaggs R (1992) A coupled, field hydrology: open channel flow model: theory. Trans ASAE 35(5):1431–1440
Kutija V (1995) A generalized method for the solution of flows in networks. J Hydraul Res 33(4):535–554
Lagarias JC, Reeds JA, Wright MH, Wright PE (1998) Convergence properties of the Nelder-Mead simplex method in low dimensions. SIAM J Optimiz 9(1):112–147
Lappalainen M, Koivusalo H, Karvonen T, Lauren A (2010) Sediment transport from a peatland forest after ditch network maintenance: a modelling approach. Boreal Environ Res 15(6):595–612
Lauri H, Virtanen M (2002) A decision support system for management of boreal river catchments. Arch Hydrobiol 13(3–4):401–408
Lee AJ, Ferguson RI (2002) Velocity and flow resistance in step-pool streams. Geomorphology 46(1):59–71
Marttila H, Kløve B (2008) Erosion and delivery of deposited peat sediment. Water Resour Res 44(6):W06406
Marttila H, Kløve B (2010) Dynamics of erosion and suspended sediment transport from drained peatland forestry. J Hydrol 388(3–4):414–425
Marttila H, Vuori K, Hökkä H, Jämsen J, Kløve B (2010) Framework for designing and applying peak runoff control structures for peatland forestry conditions. For Ecol Manag 260(8):1262–1273
Nash J, Sutcliffe J (1970) River flow forecasting through conceptual models part I - a discussion of principles. J Hydrol 10(3):282–290
Nieminen M, Ahti E, Koivusalo H, Mattsson T, Sarkkola S, Laurén A (2010) Export of suspended solids and dissolved elements from peatland areas after ditch network maintenance in South-Central Finland. Silva Fenn 44(1):39–49
Paavilainen E, Päivänen J (1995) Peatland forestry: ecology and principles. Springer, Berlin
Päivänen J (1973) Hydraulic conductivity and water retention in peat soils. Acta For Fenn 129:1–70
Peltomaa R (2007) Drainage of forests in Finland. Irrig Drain 56(1):151–159
Pirinen P, Simola H, Aalto J, Kaukoranta J, Karlsson P, Ruuhela R (2012) Tilastoja Suomen ilmastosta 19812010 (Climatological statistics of Finland 1981–2010)
Prévost M, Plamondon AP, Belleau P (1999) Effects of drainage of a forested peatland on water quality and quantity. J Hydrol 214(1):130–143
Ronkanen AK, Kløve B (2005) Hydraulic soil properties of peatlands treating municipal wastewater and peat harvesting runoff. Mires and Peat 56(2):43–46
Sen D, Garg N (2002) Efficient algorithm for gradually varied flows in channel networks. J Irrig Drain Eng 128(6):351–357
Smolander M (2011) Vesitase ojitetussa suometsikössä (abstract: Water balance in a drained peatland forest). Master’s Thesis, Aalto University, School of engineering, Department of Civil and Environmental Engineering
Stenberg L, Finér L, Nieminen M, Sarkkola S, Koivusalo H (2014) Quantification of ditch bank erosion in a drained forested catchment. Boreal Environ Res 20 (in press)
Strelkoff TS, Falvey HT (1993) Numerical methods used to model unsteady canal flow. J Irrig Drain Eng 119(4):637–655
Szymkiewicz R (2010) Numerical modeling in open channel hydraulics. Springer, Dordrecht
Turunen M (2011) Pellon vesitaseen ja salaojitusmenetelmien toimivuuden analyysi (abstract: Analysis of the water balance and subsurface drainage methods in an agricultural field). Master’s Thesis, Aalto University, School of engineering, Department of Civil and Environmental Engineering
Tuukkanen T, Koivusalo H, Marttila H, Leinonen A, Kløve B, Laurén A, Finér L (2012) A GIS-based model for ditch erosion risk assessment in peatland forestry. In: Collins A, Golosov V, Horowitz A, Lu X, Stone M, Walling D, Zhang X (eds) Erosion and Sediment Yields in the Changing Environment, International Association of Hydrological Sciences, pp 221–227
van Genuchten M (1980) A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci Soc Am J 44(5):892–898
von Post L (1922) Sveriges geologiska undersoknings torvinventering och nogra av dess hittils vunna resultat [SGU peat inventory and some preliminary results]. Svenska Mosskulturforeningens Tidskrift 36:1–37
Wigmosta MS, Vail LW, Lettenmaier DP (1994) A distributed hydrology-vegetation model for complex terrain. Water Resour Res 30(6):1665–1679
Yen B (2002) Open channel flow resistance. J Hydraul Eng 128(1):20–39
Zhu D, Chen Y, Wang Z, Liu Z (2011) Simple, robust, and efficient algorithm for gradually varied subcritical flow simulation in general channel networks. J Hydraul Eng 137(7):766–774
Acknowledgments
The data were provided from the concentrated field measurements by the Finnish Forest Research Institute, University of Oulu, and Aalto University School of Engineering. We thank Hannu Marttila and Bjørn Kløve from the University of Oulu for their valuable comments on the manuscript. The Finnish Meteorological Institute is acknowledged for the meteorological data. Development of the computational model was performed while K. Haahti was a visiting scholar at the University of California, Davis. Funding for the study was kindly provided by the Aalto University School of Engineering and Maa- ja vesitekniikan tuki ry.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Haahti, K., Younis, B.A., Stenberg, L. et al. Unsteady Flow Simulation and Erosion Assessment in a Ditch Network of a Drained Peatland Forest Catchment in Eastern Finland. Water Resour Manage 28, 5175–5197 (2014). https://doi.org/10.1007/s11269-014-0805-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11269-014-0805-x