Technical Papers
Jun 12, 2020

Measuring Critical Gradients for Soil Loosening and Initiation of Backward Erosion-Piping Mechanism

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 146, Issue 8

Abstract

A laboratory modeling program has been conducted to evaluate the hydraulic conditions required for backward erosion piping (BEP) to initiate and progress in sandy soils. The first stage of BEP consists of loosening the soil near the unprotected seepage exit face from which the piping initiates. As the differential head on the system increases, the loosened zone increases in size to reach equilibrium with the increasing hydraulic gradient near the seepage exit. Laboratory models were performed on sandy soils to model the development of BEP and measure the hydraulic regime surrounding the developing loosened zones. Inverse analyses were performed using three-dimensional finite-element (FE) seepage analyses to assess the critical gradients needed to initiate soil loosening and create or expand the loosened zone. By analyzing the observed behavior and data of piping development with the inverse-analysis procedure, exponential and linear fit equations were developed to define the relationship between effective stress and the critical gradient at the boundary of the loosened zone. The exponential relationship was shown to have a moderately better fit of the data than the linear relationship, indicating that internal friction resistance in addition to overburden weight contributes to the resistance to soil loosening.

Get full access to this article

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

Acknowledgments

This material is based on work supported by the Ph.D. short-term visiting project of the South China University of Technology.

References

Allan, R. J. 2017. “Backward erosion piping.” Ph.D. dissertation, Dept. of Civil and Environmental Engineering, Univ. of New South Wales.
ASTM. 2003. Standard specifications for standard sand. ASTM C778. West Conshohocken, PA: ASTM.
Bear, J. 1972. Dynamics of fluids in porous media. New York: Dover.
Bell, F. G. 1978. “Petrographical factors relating to porosity and permeability in the Fell Sandstone.” Q. J. Eng. Geol. 11 (2): 113–126. https://doi.org/10.1144/GSL.QJEG.1978.011.02.01.
Bligh, W. G. 1910. “Dams, barrages, and weirs on porous foundations.” Eng. News 64 (26): 708–710.
Bligh, W. G. 1913. “Lessons from the failure of a weir and sluices on porous foundations.” Eng. News 69 (6): 266–270.
Casella, L. 1871. An illustrated and descriptive catalogue of surveying, philosophical, mathematical, optical, photographic and standard meteorological instruments. London: L. Casella Scientific Instrument Maker.
De Wit, G. N., J. B. Sellmeijer, and A. Penning. 1981. “Laboratory tests on piping.” Proc., 10th Int. Conf. Soil Mechanics and Foundation Engineering, 517–520. Rotterdam, Netherlands: A.A. Balkema.
Fleshman, M. 2012. “Laboratory modeling of critical hydraulic conditions for the initiation of piping.” M.S. thesis, Dept. of Civil and Environmental Engineering, Utah State Univ.
Fleshman, M., and J. Rice. 2013. “Constant gradient piping test apparatus for evaluation of critical hydraulic conditions for the initiation of piping.” Geotech. Test. J. 36 (6): 1–14. https://doi.org/10.1520/GTJ20130066.
Fleshman, M., and J. Rice. 2014. “Laboratory modeling of the mechanisms of piping erosion initiation.” J. Geotech. Geoenviron. Eng. 140 (6): 04014017. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001106.
Keizer, R., and J. Rice. 2015. “Laboratory investigation of the effects of exit face inclination and flow concentration on the initiation of piping.” In Proc., 35th United States Society on Dams Annual Meeting and Conf., 223–238. Denver: United States Society on Dams.
Keizer, R., J. Rice, and I. Ahmed. 2016a. “Laboratory investigation of backward erosion piping: Effects of inclined exit face and constricted seepage exits.” In Proc., 8th Int. Conf. on Scour and Erosion (ICSE-8), 491–497. Oxford, UK: CRC Press.
Keizer, R., J. Rice, and R. Jaeger. 2016b. “An empirical model for estimating internal erosion critical gradients for inclined exit face conditions.” In Proc., 36th Annual USSD Conf., 909–926. Denver: United States Society on Dams.
Keizer, R. A. 2015. “Laboratory study on the effects of exit face inclination of critical gradients.” M.S. thesis, Dept. of Civil and Environmental Engineering, Utah State Univ.
Koenders, M. A., and J. B. Sellmeijer. 1992. “Mathematical model for piping.” J. Geotech. Eng. 118 (6): 943–946. https://doi.org/10.1061/(ASCE)0733-9410(1992)118:6(943).
Kozeny, J. 1927. “Ueber kapillare Leitung des wassers im boden.” Sitzungsber. Akad. Wiss. 136 (2a): 271–306.
Lane, E. W. 1935. “Security from under-seepage-masonry dams on earth foundations.” Trans. ASCE 100 (1): 1235–1272.
Lowe, D. R. 1975. “Water escape structures in coarse-grained sediments.” Sedimentology 22 (2): 157–204. https://doi.org/10.1111/j.1365-3091.1975.tb00290.x.
Ponce, V. M., and J. M. Bell. 1971. “Shear strength of sand at extremely low pressures.” J. Soil Mech. Found. Div. 97 (4): 625–638.
Rowe, P. W. 1962. “The stress–dilatancy relation for static equilibrium of an assembly of particles in contact.” Proc. R. Soc. London, Ser. A 269 (1339): 500–527. https://doi.org/10.1098/rspa.1962.0193.
Schmertmann, J. H. 2000. “The no-filter factor of safety against piping through sands.” In Judgment and Innovation: The Heritage and Future of the Geotechnical Engineering Profession, Geotechnical Special Publication 111, edited by F. Silva and E. Kavazanjian, 65–132. Reston, VA: ASCE.
Sellmeijer, J. B. 1988. “On the mechanism of piping under impervious structures.” Ph.D. dissertation, Dept. of Civil Engineering and Geosciences, Technische Universiteit Delft.
Shields, A. 1936. Application of similarity principles and turbulence research to bed-load movement. Translated by W. P. Ott and J. C. van Uchelen. Pasadena, CA: California Institute of Technology.
Terzaghi, K. 1922. “Der grundbruch an stauwerken und seine verhutung [The failure of dams and its prevention].” Die Wasserkraft 17 (24): 445–449.
Terzaghi, K., and R. B. Peck. 1948. Soil mechanics in engineering practice. New York: Wiley.
Van Beek, V. 2015. “Backward erosion piping. initiation and progression.” Ph.D. dissertation, Dept. of Civil Engineering and Geosciences, Technische Universiteit Delft.
Van Beek, V., A. Bezuijen, and H. Sellmeijer. 2013. “Backward erosion piping.” In Erosion in geomechanics applied to dams and levees, edited by B. Steven, 193–269. London: Wiley.
Van Beek, V., H. Knoeff, and H. Sellmeijer. 2011. “Observations on the process of backward piping by underseepage in cohesionless soils in small-, medium- and full-scale experiments.” Eur. J. Environ. Civ. Eng. 15 (8): 1115–1137. https://doi.org/10.1080/19648189.2011.9714844.
Weijers, J. B. A., and J. B. Sellmeijer. 1993. “A new model to deal with the piping mechanism on filters, in geotechnical and hydraulic engineering.” In Filters in geotechnical and hydrauilc engineering, edited by J. Brauns, M. Herbaum, and U. Schuler, 349–355. Rotterdam, Netherlands: A.A. Balkema.
White, C. M. 1940. “The equilibrium of grains on the bed of a stream.” Proc. R. Soc. London, Ser. A 174 (958): 322–338.
Wiberg, P. L., and J. D. Smith. 1985. “A theoretical model for saltating grain in water.” J. Geophys. Res. 90 (C4): 7341–7354. https://doi.org/10.1029/JC090iC04p07341.
Wiberg, P. L., and J. D. Smith. 1987. “Calculations of the critical shear stress for motion of uniform and heterogeneous sediments.” Water Resour. Res. 23 (8): 1471–1480. https://doi.org/10.1029/WR023i008p01471.
Wiberg, P. L., and J. D. Smith. 1989. “Model for calculating bed load transport of sediment.” J. Hydraul. Eng. 115 (1): 101–123. https://doi.org/10.1061/(ASCE)0733-9429(1989)115:1(101).

Information & Authors

Information

Published In

Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 146Issue 8August 2020

History

Received: Apr 27, 2018
Accepted: Jan 24, 2020
Published online: Jun 12, 2020
Published in print: Aug 1, 2020
Discussion open until: Nov 12, 2020

Permissions

Request permissions for this article.

Authors

Affiliations

Ph.D. Student, Civil and Transportation Institute, South China Univ. of Technology, Guangzhou, Guangdong, China; State Key Laboratory of Subtropical Building Science, South China Univ. of Technology, Guangzhou, Guangdong, China. ORCID: https://orcid.org/0000-0002-5149-1319. Email: [email protected]
Associate Professor, Dept. of Civil and Environmental Engineering, Utah State Univ., Logan, UT 84322 (corresponding author). ORCID: https://orcid.org/0000-0002-2523-9400. Email: [email protected]

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