World Library  

Add to Book Shelf
Flag as Inappropriate
Email this Book

A Steady-state Saturation Model to Determine the Subsurface Travel Time (Stt) in Complex Hillslopes : Volume 14, Issue 6 (04/06/2010)

By Sabzevari, T.

Click here to view

Book Id: WPLBN0003983050
Format Type: PDF Article :
File Size: Pages 10
Reproduction Date: 2015

Title: A Steady-state Saturation Model to Determine the Subsurface Travel Time (Stt) in Complex Hillslopes : Volume 14, Issue 6 (04/06/2010)  
Author: Sabzevari, T.
Volume: Vol. 14, Issue 6
Language: English
Subject: Science, Hydrology, Earth
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


APA MLA Chicago

Ardakanian, R., Shamsai, A., Talebi, A., & Sabzevari, T. (2010). A Steady-state Saturation Model to Determine the Subsurface Travel Time (Stt) in Complex Hillslopes : Volume 14, Issue 6 (04/06/2010). Retrieved from

Description: Department of Civil Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran. The travel time of subsurface flow in complex hillslopes (hillslopes with different plan shape and profile curvature) is an important parameter in predicting the subsurface flow in catchments. This time depends on the hillslopes geometry (plan shape and profile curvature), soil properties and climate conditions. The saturation capacity of hillslopes affect the travel time of subsurface flow. The saturation capacity, and subsurface travel time of compound hillslopes depend on parameters such as soil depth, porosity, soil hydraulic conductivity, plan shape (convergent, parallel or divergent), hillslope length, profile curvature (concave, straight or convex) and recharge rate to the groundwater table. An equation for calculating subsurface travel time for all complex hillslopes was presented. This equation is a function of the saturation zone length (SZL) on the surface. Saturation zone length of the complex hillslopes was calculated numerically by using the hillslope-storage kinematic wave equation for subsurface flow, so an analytical equation was presented for calculating the saturation zone length of the straight hillslopes and all plan shapes geometries. Based on our results, the convergent hillslopes become saturated very soon and they showed longer SZL with shorter travel time compared to the parallel and divergent ones. The subsurface average flow rate in convergent hillslopes is much less than the divergent ones in the steady state conditions. Concerning to subsurface travel time, convex hillslopes have more travel time in comparison to straight and concave hillslopes. The convex hillslopes exhibit more average flow rate than concave hillslopes and their saturation capacity is very low. Finally, the effects of recharge rate variations, average bedrock slope and soil depth on saturation zone extension were investigated.

A steady-state saturation model to determine the subsurface travel time (STT) in complex hillslopes

Agiralioglu, N.: A Comparison of Water Lag Times for Converging and Plane Surfaces, Nordic Hydrology, 16, 169–176, 1985.; Akan, A. O.: Urban stormwater Hydrology-A Guide to Engineering Calculations, Technomic, Lancaster, PA, ISBN: 0-87762-966-6, 1993.; Aryal, S. K., O'Loughlin, E. M., and Mein, R. G.: A similarity approach to determine response times to steady-state saturation in landscapes, Adv. Water Resour., 28, 99–115, 2005.; Aryal, S. K., Mein, R. G.,and O'Loughlin, E. M.: The concept of effective length in hillslopes: assessing the influence of climate and topography on the contributing areas of catchments, Hydrol. Process., 17, 131–151, 2003.; Aryal, S. K., O'Loughlin, E. M., and Mein, R. G.: A similarity approach to predict landscape saturation in catchments, Water Resour. Res., 38(9), 1208, doi:10.1029/2001WR000864, 2002.; Ben-Zvi, A.: Runoff peaks from two dimensional laboratory watersheds, J. Hydrol., 68, 115–139, 1984.; Berne, A., Uijlenhoet, R., and Troch, P. A.: Similarity analysis of subsurface flow response of hillslopes with complex geometry, Water Resour. Res., 41, W09410, doi:10.1029/2004WR003629, 2005.; Beven, K: On subsurface stormflow: an analysis of response times, Hydrol. Sci. J., 27(4), 505–521, 1982.; Beven, K.: On subsurface stormflow: prediction with simple kinematic theory for saturated and unsaturated flows, Water Resour. Res., 18(6), 1627–1633, 1982.; Beven, K. J. and Kirkby, M. J.: A physically-based variable contributing area model of basin hydrology, Hydrol. Sci. Bull., 24, 43–69, 1979.; Boussinesq, J.: Essai sur la thorie des eaux courantes, Mm. Acad. Sci. Inst. France, 23, 1–680, 1877.; Chutha, P. and Dooge, J. C. I.: The shape parameters of the geomorphologic unit hydrograph. J. Hydrol. 117, 81–97, 1990.; Eagleson, P. S.: Dynamic Hydrology, McGraw-Hill Book Co, New York, NY, 462 pp, 1970.; Henderson, F. M.: Open-Channel Flow. Prentice-Hall Book Co. Inc., New York, NY, 522 pp, 1966; Evans, I. S.: An integrated system of terrain analysis and slope mapping, Zeitschrift fur Geomorphologie, Supplementband, 36, 274–295, 1980.; Fan, Y. and Bras, R. L.: Analytical solutions to hillslope subsurface storm flow and saturation overland flow, Water Resour. Res., 34(2), 921–927, 1998.; Freeze, R. A.: Role of subsurface flow in generating surface runoff: 1. Baseflow contributions to channel flow, Water Resour. Res., 8, 609–623, 1972a.; Freeze, R. A.: Role of subsurface flow in generating surface runoff: 2. Upstream source areas, Water Resour. Res., 8, 1272–1283, 1972b.; Freeze, R. A.: Three-dimensional, transient, saturated-unsaturated flow in a groundwater basin, Water Resour. Res., 7, 929–941, 1971.; Freeze, R. A. and Harlan, R. L.: Blueprint for a physically-based digitally simulated hydrologic response model, J. Hydrol., 9, 237–258, 1969.; Gupta, V. K., Waymire, E., and Wang, C. T.: A representation of an instantaneous unit hydrograph from geomorphology, Water Resour. Res., 16(5), 855–862, 1980.; Henderson, F. M.: Open-Channel Flow. Prentice-Hall, New York, NY, 1966.; Henderson F. M. and Wooding, R. A.: Overland flow and groundwater flow from a steady rainfall of finite duration, J. Geophys. Res., 69(7), 1531–1540, 1964.; Hilberts, A., Van Loon, E., Troch, P. A., and Paniconi, C.: The hillslope-storage Boussinesq model for non-constant bedrock slope, J. Hydrol., 291, 160–173, 2004.; Huyck, A. A. O., Pauwels ,V. R. N., and Verhoest, N. E. C.: A base flow separation algorithm based on the linearized Boussinesq equation for complex hillslopes, Water Resour. Res., 41, 2005, W08415, doi:10.1029/2004WR003789.; Lee, K. T. and Chang, C. H.: Incorporating subsurface-flow mechanism into geomorphology-based IUH modeling, J. Hydrol., 311, 91–105, 2005.; Lee, K. T. and Yen, B. C.: Geomorphology and kinematic-wave based hydrograph derivation, J. Hydrol. Eng., ASCE 123(1), 73–80, 1997.; Loukas A. and Dalezios, N. R.: Response time of forested mountainous watersheds in humid regio


Click To View

Additional Books

  • The Role of Spatial Variability of Soil ... (by )
  • Incorporating Episodicity Into Estimates... (by )
  • Long Term Variability of the Annual Hydr... (by )
  • Annual Flood Sensitivities to El Niño So... (by )
  • Integrated Assessment of Global Water Sc... (by )
  • Evaluation and Bias Correction of Satell... (by )
  • Quantitative Analysis on the Ecological ... (by )
  • Estimation of Permafrost Thawing Rates i... (by )
  • Physical and Chemical Consequences of Ar... (by )
  • The Importance of Year-to-year Variation... (by )
  • Incorporating Landscape Characteristics ... (by )
  • Impact of the Hoa Binh Dam (Vietnam) on ... (by )
Scroll Left
Scroll Right


Copyright © World Library Foundation. All rights reserved. eBooks from World eBook Library are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.