TECHNICAL PAPERS
Oct 1, 1994

Statistical Sample Size for Construction of Soil Liners

Publication: Journal of Geotechnical Engineering
Volume 120, Issue 10

Abstract

A method is described for selecting the number of samples (i.e., the sample size) to be collected and tested during construction quality control of compacted soil liners. The sample size is selected to ensure that enough data are collected so the probability of excessive equivalent hydraulic conductivity (i.e., overall hydraulic conductivity) is greater than or equal to a predefined maximum value is below a specified value. The method requires computations that can be performed using a spreadsheet program. Charts are provided to select the sample size based on these computations. The sample size depends on the properties of the soil, their spatial variability, and the number of lifts in the liner. Regression models are used to relate spatial variability of construction‐quality‐control measurements (such as compaction data, Atterberg limits, and particle‐size measurements) to variations in hydraulic conductivity at point scale. A three‐dimensional stochastic model is then used to estimate the equivalent hydraulic conductivity of the soil liner for statistical parameters describing spatial variability of point‐scale hydraulic conductivity. An asymptotic method is used to determine the precision of the estimate of equivalent hydraulic conductivity and the probability of excessive equivalent hydraulic conductivity.

Get full access to this article

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

References

1.
Benson, C. (1991). “Predicting excursions beyond regulatory thresholds of hydraulic conductivity using quality control measurements.” Proc. 1st Can. Conf. on Envir. Geotech., Canadian Geotechnical Society, Montreal, Quebec, 447–454.
2.
Benson, C., and Boutwell, G. (1992). “Compaction control and scale‐dependent hydraulic conductivity of clay liners.” Proc. 15th Annual Madison Waste Conf., University of Wisconsin, Madison, Wis., 62–83.
3.
Benson, C., and Charbeneau, R. (1991). “Reliability analysis of time of travel in earthen landfill liners.” Proc. Geotech. Congress 1991, ASCE, New York, N.Y., 456–467.
4.
Benson, C., and Daniel, D. (1994). “Minimum thickness of compacted soil liners: II. Analysis and case histories.” J. Geotech. Engrg., ASCE, 120(1), 153–172.
5.
Benson, C., Zhai, H., and Wang, X. (1994a). “Estimating hydraulic conductivity of compacted clay liners.” J. Geotech. Engrg., ASCE, 120(2), 366–387.
6.
Benson, C., Zhai, H., and Rashad, S. (1992). “Assessment of construction quality control measurements and sampling frequencies for compacted soil liners.” Envir. Geotech. Rep. 92‐6, Dept. of Civ. and Envir. Engrg., Univ. of Wisconsin, Madison, Wis.
7.
Benson, C., Hardianto, F., and Motan, E. (1994b). “Representative specimen size for hydraulic conductivity assessment of compacted soil liners.” Hydraulic conductivity and waste contaminant transport in soils (ASTM STP 1142), D. Daniel and S. Trautwein, eds., ASTM, Philadelphia, Pa.
8.
Bogardi, I., Kelly, W., and Bardossy, A. (1989). “Reliability model for soil liners: Initial design.” J. Geotech. Engrg., ASCE, 115(5), 658–669.
9.
Bogardi, I., Kelly, W., and Bardossy, A. (1991). “Reliability model for soil liners: postconstruction.” J. Geotech. Engrg., ASCE, 116(10), 1502–1520.
10.
Boutwell, G., and Hedges, C. (1989). “Evaluation of waste‐retention liners by multivariate statistics.” Proc. 12th Int. Conf. on Soil Mech. and Found. Engrg., International Committee on Soil Mechanics and Foundation Engineering/A. A. Balkema, Rotterdam, The Netherlands, 815–818.
11.
Boutwell, G., and Rauser, C. (1990). “Clay liner construction.” Proc. Geotech. Engrg. in Today's Envir., ASCE‐Pennsylvania Section, Hershey, Pa., 1–7.
12.
Box, G., and Muller, M. (1958). “A note on the generation of random normal deviates.” Annual of Math. Stat., 29, 610–611.
13.
Dagan, G. (1982). “Stochastic modeling of groundwater flow by unconditional and conditional probabilities, 1. Conditional simulation and the direct problem.” Water Resour. Res., 18(4), 813–833.
14.
Daniel, D. (1990a). “Summary review of construction quality control for earthen liner.” Waste containment systems: Construction, regulation, and performance, R. Bonaparte, ed., ASCE, New York, N.Y., 175–189.
15.
Daniel, D. (1990b). “Seminars—design and construction of RCRA/CERCLA final covers.” USEPA Rep. CERI 90‐50, U.S. Envir. Protection Agency, Washington, D.C., A1–A18.
16.
Daniel, D., and Koerner, R. (1993). “Quality assurance and quality control for waste containment facilities.” USEPA Rep. EPA/600/R‐93/182, U.S. Envir. Protection Agency, Washington, D.C., Sep.
17.
Donald, S. (1990). “Stochastic analysis of compacted clay landfill liners,” MASC thesis, University of Waterloo, at Waterloo, Ontario.
18.
Fenton, G., and Griffiths, D. (1993). “Statistics of block conductivity through a simple bounded stochastic medium.” Water Resour. Res., 29(6), 1825–1830.
19.
Goldman, L., Greenfield, L., Damle, A., Kingsbury, G., Northeim, C., and Truesdale, R. (1988). “Design, construction, and evaluation of clay liners for waste management facilities.” USEPA Rep. EPA/530/SW‐86/007F, U.S. Envir. Protection Agency, Washington, D.C.
20.
Gordon, M., Huebner, P., and Kmet, P. (1984). “An evaluation of the performance of four clay‐lined landfills in Wisconsin.” Proc., 7th Annual Madison Waste Conf., University of Wisconsin, Madison, Wis., 399–460.
21.
Gutjhar, A., Gelhar, L., Bakr, A., and MacMillan, J. (1978). “Stochastic analysis of spatial variability in subsurface flows, 2. Evaluation and application.” Water Resour. Res., 14(5), 953–959.
22.
Harrop‐Williams, K. (1985). “Clay liner permeability: Evaluation and variation.” J. Geotech. Engrg., ASCE, 111(10), 1211–1225.
23.
Herrmann, J., and Elsbury, B. (1987). “Influential factors in soil liner construction for waste disposal facilities.” Geotechnical practice for waste disposal '87, R. Woods, ed., ASCE, New York, N.Y., 515–521.
24.
Lehmann, E. (1983). Theory of point estimation. John Wiley and Sons, New York, N.Y.
25.
Mundell, J. (1985). Discussion of “predicting the hydraulic conductivity of clay liners,” by D. Daniel. J. Geotech. Engrg., ASCE, 111(12), 1459–1465.
26.
McDonald, M., and Harbaugh, A. (1987). “MODFLOW: A modular three‐dimensional finite difference ground‐water flow model.” U.S. Geological Survey, Reston, Va.
27.
Northeim, C., and Truesdale, R. (1986). “Construction quality assurance for hazardous waste land disposal facilities.” USEPA Rep. No. EPA 530‐SW‐86‐031, U.S. Envir. Protection Agency, Washington, D.C.
28.
Press, W., Flannery, B., Teukolsky, S., and Vetterling, W. (1986). Numerical recipes: The art of scientific computing. Cambridge Univ. Press, Cambridge, Mass.
29.
Richardson, G. (1992). “Construction quality management for remedial action and remedial design waste containment systems.” USEPA Rep. EPA/540/R‐92/073, U.S. Envir. Protection Agency, Washington, D.C.
30.
Tang, W. (1984). “Principles of probabilistic characterization of soil properties.” Probabilistic characterization of soil properties: Bridge between theory and practice, D. Bowles and H‐Y. Ko, eds., ASCE, New York, N.Y., 74–89.
31.
Vanmarcke, E. (1977). “Probabilistic modeling of soil profiles.” J. Geotech. Engrg. Div., ASCE, 103(11), 1227–1246.
32.
Vanmarcke, E. (1983). Random fields: Analysis and synthesis. MIT Press, Cambridge, Mass.
33.
Wang, M., and Huang, C. (1984). “Soil compaction and permeability prediction model” J. Envir. Engrg., ASCE, 110(6), 1064–1083.
34.
Warren, J., and Price, H. (1961). “Flow in heterogeneous porous media.” Soc. of Pet. Engrg. J., 1(9), 153–169.

Information & Authors

Information

Published In

Go to Journal of Geotechnical Engineering
Journal of Geotechnical Engineering
Volume 120Issue 10October 1994
Pages: 1704 - 1724

History

Received: Jun 28, 1993
Published online: Oct 1, 1994
Published in print: Oct 1994

Permissions

Request permissions for this article.

Authors

Affiliations

Craig H. Benson, Associate Member, ASCE
Asst. Prof., Dept. of Civ. and Envir. Engrg., Univ. of Wisconsin, 2214 Engrg. Bldg., 1415 Johnson Drive, Madison, WI 53706
Huaming Zhai
Res. Assoc., Dept. of Civ. and Envir. Engrg., Univ. of Wisconsin, Madison, WI
Salwa M. Rashad, Member, ASCE
Res. Assoc., Dept. of Civ. and Envir. Engrg., Univ. of Wisconsin, Madison, WI

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