Regression and Inverse Analyses in Regional Ground-Water Modeling
Publication: Journal of Water Resources Planning and Management
Volume 122, Issue 1
Abstract
Numerical models of ground-water flow within the regional aquifer underlying Lambton County, Ontario, Canada, are constructed by the conjunctive application of methods of regression and inverse analyses. Regression analysis of physiographic and hydraulic head data reveals a distinct relation between ground-water levels and ground-surface topography that is used to condition the aquifer models that are subjected to inverse analysis. Inverse analysis determines the variation of hydraulic head along the perimeter of the region and the distribution of ground-water recharge and discharge within the region that optimally replicate the observed hydraulic head data. The use of physiographic data as a substitute for geologic data in the construction of the aquifer models is defended on the basis of the constraints that apply to the investigation and the opportunity to invoke hydrogeologic judgment in the evaluation of the results. Interpretation of the results of the analyses reveals important characteristics of the hydrogeology of Lambton County, including an area of elevated ground-water recharge and the partitioning of ground-water discharge to the Saint Clair River.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Anderson, M. P., and Woessner, W. W. (1992). Applied groundwater modelling: Simulation of flow and advective transport . Academic Press, San Diego, Calif.
2.
Bobba, A. G. (1991). “Application of digital simulation model to fresh water aquifer of Lambton County, Ontario, Canada.”Proc., Int. Conf. on Hydrol. and Hydrogeology in the 90's, American Institute of Hydrology, Minneapolis, Minn.
3.
Bobba, A. G. (1992). “Field validation of SUTRA groundwater flow model to Lambton County, Ontario, Canada.”Nat. Water Res. Inst. Contribution 92-141.
4.
Chapman, L. J., and Putnam, D. F. (1984). The physiography of southern Ontario, Ontario Geological Survey Spec. Vol. 2, Ministry of Natural Resources, Toronto, Canada.
5.
Cherkauer, D. S., and Taylor, R. W.(1990). “The spatially continuous determination of groundwater flow to surface water bodies: Application to the connecting channels between Lakes Huron and Erie.”J. Hydrol., 114, 349–369.
6.
Daniel, C., and Wood, F. S. (1971). Fitting equations to data . Wiley-Interscience, New York, N.Y.
7.
D'Astous, A. Y., Ruland, W. W., Bruce, J. R. G., Cherry, J. A., and Gillham, R. W.(1989). “Fracture effects in the shallow groundwater zone in weathered Sarnia-area clay.”Can. Geotech. J., 26, 43–56.
8.
Desaulniers, D. E., Cherry, J. A., and Fritz, P.(1981). “Origin, age and movement of pore water in argillaceous quaternary deposits at four sites in southwestern Ontario.”J. Hydrol., 50, 231–257.
9.
Dorr, J. A. Jr., and Eschman, D. F. (1970). Geology of Michigan . University of Michigan Press, Ann Arbor, Mich.
10.
Duan, Q., Sorooshian, S., and Gupta, V.(1992). “Effective and efficient global optimization for conceptual rainfall-runoff models.”Water Resour. Res., 28, 1015–1031.
11.
Freeze, R. A., and Cherry, J. A. (1979). Groundwater . Prentice-Hall, Englewood Cliffs, N.J.
12.
Gioda, G., and Maier, G.(1980). “Direct search solution of an inverse problem in elastoplasticity: Identification of cohesion, friction angle and in situ stress by pressure tunnel tests.”Int. J. for Numerical Methods in Engrg., 15, 1823–1848.
13.
Groundwater probability map County of Lambton. (1969). Division of Water Resources, Ontario Water Resources Commission, Toronto, Canada.
14.
Guttman, I., Wilks, S. S., and Hunter, J. S. (1982). Introductory engineering statistics . John Wiley and Sons, New York, N.Y.
15.
“Hydrogeological study of the freshwater aquifer and deep geologic formations Sarnia, Ontario, volume 1.” (1992). Rep. to Ontario Ministry of the Envir., Detroit, St. Clair, St. Mary's Rivers Proj., Sarnia, Ontario, Intera Technologies.
16.
“An investigation of potential contamination of the fresh water aquifer in Lambton County by deep well disposal operations.” (1985). Rep. to Ontario Ministry of the Envir., Detroit, St. Clair, St. Mary's Rivers Proj., Sarnia, Ontario, GTC Geologic Testing Consultants.
17.
Isaaks, E. H., and Srivastava, R. M. (1989). Applied geostatistics . Oxford University Press, New York, N.Y.
18.
Kruseman, G. P., and de Ridder, N. A. (1983). Analysis and evaluation of pumping test data . International Institute for Land Reclamation and Improvement/ILRI, Wageningen, The Netherlands.
19.
Lesage, S., Jackson, R. E., Priddle, M., Beck, P., and Raven, K. G.(1991). “Investigation of possible contamination of shallow groundwater by deeply injected liquid industrial wastes.”Ground Water Monitoring Review, 11, 151–159.
20.
Piggott, A. R., and Bobba, A. G. (1993). “Inverse analysis implementation of the SUTRA groundwater flow and transport model and user's guide for SUTRA −1 .”Nat. Water Res. Inst. Contribution 93-115.
21.
Piggott, A. R., Bobba, A. G., and Xiang, J.(1994). “Inverse analysis implementation of the SUTRA groundwater model.”Ground Water, 32, 829–836.
22.
Press, W. H., Flannery, B. P., Teukolsky, S. A., and Veterling, W. T. (1986). Numerical recipes: The art of scientific computing . Cambridge University Press, New York, N.Y.
23.
Quinn, F. H., and Kelley, R. N. (1983). “Great Lakes monthly hydrologic data.”NOAA Data Rep. ERL GLERL-26, Great Lakes Environmental Research Laboratory, Ann Arbor, Mich.
24.
Raven, K. G., Lafleur, D. W., and Sweezey, R. A.(1990). “Monitoring well into abandoned deep-well disposal formations at Sarnia, Ontario.”Can. Geotech. J., 27, 105–118.
25.
Ruland, W. W., Cherry, J. A., and Feenstra, S.(1991). “The depth of fractures and active groundwater flow in a clayey till plain in southwestern Ontario.”Ground Water, 29, 405–417.
26.
Sklash, M., Mason, S., Scott, S., and Pugsley, C.(1986). “An investigation of the quantity, quality, and sources of groundwater seepage into the St. Clair River near Sarnia, Ontario, Canada.”Water Pollution Res. J. Canada, 21, 351–367.
27.
Sklash, M., Ainslie, A., Ibrahim, I., and Chekiri, K. (1992). “Is there rapid recharge through 30 m of clayey till in Essex County, Ontario?”Modern Trends in Hydrol., Proc., 1992 Conf. of the Can. Nat. Chapter of the Int. Assoc. of Hydrogeologists, Hamilton, Ontario, Canada, 461–467.
28.
Sugden, D. E., and John, B. S. (1982). Glaciers and landscape: A geomorphological approach . Edward Arnold, London, England.
29.
Voss, C. I. (1984). “A finite element simulation model for saturated-unsaturated, fluid density dependent groundwater flow with energy transport or chemically reactive single species solute transport.”United States Geological Survey Water Resour. Investigations Rep., 84-4369.
30.
“Waste site investigations, volume II.” (1985). Rep. to Ontario Ministry of Envir., Detroit, St. Clair, St. Mary's Rivers Proj., Sarnia, Ontario, GTC Geologic Testing Consultants.
31.
“Water well records for Ontario, Kent, Lambton, 1946–1974.” (1977). Water Resour. Bull. 2–20, Groundwater Series, Water Resources Branch, Ontario Ministry of the Environment, Toronto, Canada.
32.
Water wells and groundwater supplies in Ontario. (1987). Water Resources Branch, Ontario Ministry of the Environment, Toronto, Canada.
33.
Williams, T. A., and Williamson, A. K.(1989). “Estimating water table altitudes for regional groundwater flow modelling, U.S. Gulf Coast.”Ground Water, 27, 333–340.
34.
Willis, R., and Yeh, W. W.-G. (1987). Groundwater systems planning and management . Prentice-Hall, Englewood Cliffs, N.J.
Information & Authors
Information
Published In
Copyright
Copyright © 1996 American Society of Civil Engineers.
History
Published online: Jan 1, 1996
Published in print: Jan 1996
Authors
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.