TECHNICAL PAPERS
Jun 1, 1991

Probabilistic Analysis of Ground‐Water Levels in Hillside Slopes

Publication: Journal of Geotechnical Engineering
Volume 117, Issue 6

Abstract

Slope failures on hillside slopes are frequently caused by increases in pore‐water pressures following periods of heavy rainfall. This paper presents a simplified lumped‐parameter model for estimating piezometric levels due to infiltration of rainfall. The model requires a minimal number of parameters and is applicable to hillside slopes with a layer of soil over an impermeable base. Individual components are built in the model for evapotranspiration, infiltration, and drainage due to gravity flow. The model is used to estimate piezometric levels of small basins in the watersheds of Kennel Creek, Alaska, and Perkins Creek, Oregon. The estimated piezometric levels are compared with observed values, and the agreement is satisfactory. An uncertainty model based on the first‐order, second‐moment method is used to estimate the uncertainty about the moisture contents of the unsaturated zone and piezometric levels in terms of uncertainties about the input parameters. Bayesian updating is formulated and the observed piezometric levels are used to update the parameters.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Aase, J. K., and Idso, S. B. (1978). “A comparison of two formula types for calculating long‐wave radiation from the atmosphere.” Water Resour. Res., 14(4), 623–625.
2.
Anderson, J., and Shapiro, A. M. (1983). “Stochastic analysis of one‐dimensional steady state unsaturated flow: A comparison of Monte Carlo and perturbation methods.” Water Resour. Res., 19(1), 121–133.
3.
Bakr, A. A., Gelhar, L. W., Gutjahr, A. L., and MacMillan, J. R. (1978). “Stochastic analysis of spatial variability in subsurface flows, 1. Comparison of one and three‐dimensional flows.” Water Resour. Res., 14(2), 263–271.
4.
Beven, K. (1981). “Kinematic subsurface stormflow.” Water Resour. Res., 15, 1419–1424.
5.
Black, T. A. (1979). “Evapotranspiration from Douglas fir stands exposed to soil water deficits.” Water Resour. Res., 15, 164–170.
6.
Campbell, G. S. (1974). “A simple method for determining unsaturated conductivity from moisture retention data.” Soil Sci., 13, 311–314.
7.
Childs, E. C., and Poulovassilis, A. (1962). “The moisture profile over a moving water table.” J. Soil Sci., 13, 272–285.
8.
Clapp, R. B., and Hornberger, G. M. (1978). “Empirical equations for some soil hydraulic properties.” Water Resour. Res., 14(4), 601–604.
9.
Dunne, T. (1978). “Field studies of hillslope processes.” Hillslope hydrology, M. J. Kirkby, ed., John Wiley & Sons, New York, N.Y., 227–293.
10.
Eagleson, P. S. (1978). “Climate, soil vegetation, parts 3 and 4.” Water Resour. Res., 14(5), 731–739 and 741–748.
11.
Freeze, R. A. (1971). “Three‐dimensional, transient saturated‐unsaturated flow in a groundwater basin.” Water Resour. Res., 7(2), 347–366.
12.
Gelhar, L. W., Wilson, J. L., and Gutjahr, A. L. (1979). “Comment on simulation of groundwater flow and mass transport under uncertainty.” Adv. Water Resour., vol. 2.
13.
Harr, R. D., and Yee, C. S. (1975). “Soil and hydraulic factors affecting the stability of natural slopes in the Oregon coast range.” Report WRRI‐33, Water Resour. Inst., Oregon State Univ., Corvalis, Ore.
14.
Holtan, H. N., England, C. B., Lawless, G. P., and Schumaker, G. A. (1968). “Moisture‐tension data for selected soils on experimental watersheds.” ARS 41‐144, Agric. Res. Service, Beltsville, Md.
15.
Jensen, M. E. (1973). Consumptive use of water and irrigation water requirements, Tech. Committee on Irrig. Water Requirements, ASCE, New York, N.Y., Sep.
16.
Lee, I. M., and Wu, T. H. (1987). “Groundwater fluctuations in hillside slopes.” Proc. 5 th Int. Conf. on Applications of Statistics and Probability in Soil and Struct. Engrg., University of British Columbia, vol. 2, 694–701.
17.
Patric, J. H., and Stephens, F. R. (1968). “Soil moisture levels in some representative soils.” Soil Sci., 106(3), 172–176.
18.
Priestly, J. H. B., and Taylor, R. J. (1972). “On the assessment of surface heat flux and evaporation using large scale parameters.” Monthly Weather Rev., 100, 81–92.
19.
Pierson, T. C. (1977). “Factors controlling debris‐flow initiation on forested hillslope in the Oregon coast range,” thesis presented to the University of Washington, at Seattle, Wash., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
20.
Rubin, J. (1968). “Theoretical analysis of two‐dimensional transient flow of water in unsaturated and partly unsaturated soils.” Proc, Soil Society of America, 32, 607–617.
21.
Sagar, B., and Kisiel, C. C. (1972). “Limits of deterministic predictability of saturated flow equations.” Joint Symp. on Fundamentals of Transp. Phenomena in Porous Media, University of Guelph, Guelph, Ontario, Canada.
22.
Sangrey, D. A., Harrop‐Williams, K. O., and Klaiber, J. A. (1984). “Predicting groundwater response to precipitation.” J. Geotech. Engrg. Div., ASCE, 110(7), 957–975.
23.
Schroeder, W. L. (1983). “Geotechnical properties of southeast Alaskan forest soils.” USDA Forest Service Report, Civ. Engrg. Dept., Oregon State Univ., Corvallis, Ore., Dec.
24.
Schweppe, F. C. (1973). Uncertain dynamic systems. Prentice‐Hall, Inc., Englewood Cliffs, N.J.
25.
Sidle, R. C. (1985). “Shallow groundwater fluctuations in unstable hillslopes of coastal Alaska.” Zeitschrift fur Gletscherkunde and Glazialgeologie, 20(2).
26.
Sitar, N., Cadfield, J. D., and Kiureghian, A. D. (1985). “First‐order reliability approach to stochastic analysis of groundwater flow and solute transport.” Geotechnical Engineering Report No. UCB/GT/85‐01, Univ. of California, Berkeley, Calif.
27.
Sloan, P. G., Moore, G. B., and Eigel, J. D. (1983). “Modeling surface and subsurface storm flow on steeply sloping forested watersheds.” Report 142, Water Resour. Inst., Univ. of Kentucky, Lexington, Ky.
28.
Sloan, P. G., and Moore, I. D. (1984). “Modeling subsurface storm flow on steeply sloping forested watersheds.” Water Resour. Res., 20(12), 1815–1822.
29.
Smith, L., and Freeze, R. A. (1979). “Stochastic analysis of steady state groundwater flow in a bounded domain, J. One‐dimensional simulations.” Water Resour. Res., 15(3), 521–528.
30.
Spittlehouse, D. L., and Black, T. A. (1981). “A growing season water balance model applied to two Douglas fir stands.” Water Resour. Res., 17(6), 1651–1656.
31.
Warren, J. E., and Price, H. S. (1961). “Flow in heterogeneous porous media.” Soc. Petroleum Engrg. J., 1, 153–169.
32.
Wilson, J., Kitandis, P., and Dittinger, M. (1978). “State and parameter estimation in groundwater models.” Application of Kalman filter to hydrology, hydraulics and water resources, C. L. Chiu, ed., Univ. of Pittsburgh, Pittsburgh, Pa., 657–679.
33.
Wu, T. H. (1976). “Investigation of landslides on Prince of Wales Island, Alaska.” Geotechnical Engineering Report No. 5, Dept. of Civ. Engrg., Ohio State Univ., Columbus, Ohio, Feb.

Information & Authors

Information

Published In

Go to Journal of Geotechnical Engineering
Journal of Geotechnical Engineering
Volume 117Issue 6June 1991
Pages: 872 - 890

History

Published online: Jun 1, 1991
Published in print: Jun 1991

Permissions

Request permissions for this article.

Authors

Affiliations

Lakshmi N. Reddi, Associate Member, ASCE
Asst. Prof., Dept. of Civ., Envir. and Coast. Engrg., Stevens Inst. of Tech., Hoboken NJ 07030
Tien H. Wu, Fellow, ASCE
Prof., Dept. of Civ. Engrg., Ohio State Univ., 2070 Neil Ave., Columbus OH 43210

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share