Modeling three-dimensional deformation in response to pumping of unconsolidated aquifers

Environmental and Engineering Geoscience

Volumn 5, Issue 2, 1999, Pages 199-212

  Burbey, Thomas J ^a   Helm, Donald C ^b  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

^b Morgan State University   (United States)

Author keywords

Aquifers; Ground water; Models; Soil mechanics; Subsidence

Indexed keywords

AQUIFER; DEFORMATION; GROUNDWATER ABSTRACTION; PUMPING; SUBSIDENCE;

EID: 0033149955     PISSN: 10787275     EISSN: None     Source Type: Journal    
DOI: 10.2113/gseegeosci.v.2.199     Document Type: Article

References (42)

1. ANDERSON, S. R., 1989, Potential for Aquifer Compaction, Land Subsidence, and Earth Fissures in Avra Valley, Pima and Pinal Counties, Arizona, U.S. Geological Survey Hydrogeological Investigations Atlas HA-718: U. S. Geological Survey, Denver, CO, 1:250,000, 3 sh.
2. BEAR, J. AND CORAPCIOGLU, M. Y., 1981, Mathematical model for regional land subsidence due to pumping 2 - integrated aquifer subsidence equations for vertical and horizontal displacements: Water Resources Research, Vol. 17, pp. 947-958.
3. BELL, J. W.; PRICE, J. G.; AND MIFFLIN, M. D., 1992, Subsidence-induced fissuring along pre-existing faults in Las Vegas Valley, Nevada, in Engineering Geology Into the 21st Century, Proceedings of the 25th Annual Meeting of the Association of Engineering Geologists, Long Beach, CA, pp. 66-75.
4. BIOT, M. A., 1941, General theory of three-dimensional consolidation: Journal of Applied Physics, Vol. 12, No. 2, pp. 155-164.
5. BIOT, M. A., 1955, Theory of elasticity and consolidation for a porous anisotropic solid, Journal of Applied Physics, Vol. 26, No. 2, pp. 182-185.
6. BURBEY, T. J., 1996, The role of horizontal displacement in evaluating earth-fissure development in the vicinity of faults in subsidence-prone areas, in Association of Engineering Geologists 39th Annual Meeting, East Brunswick, NJ, 38 p.
7. CARPENTER, M. C., 1991, Earth-Fissures Movements Associated with Fluctuations in Ground-Water Levels Near the Picacho Mountains, South-Central Arizona, 1980-84, U. S. Geological Survey Open-File Report 90-561: U. S. Geological Survey, Denver, CO, 62 p.
8. GAMBOLATI, G. AND FREEZE, R. A., 1973, Mathematical simulation of the subsidence of Venice, 1: theory: Water Resources Research, Vol. 9, pp. 721-733.
9. GAMBOLATI, G.; GATTO, P.; AND FREEZE, R. A., 1974, Mathematical simulation of the subsidence of Venice, 2: results, Water Resources Research, Vol. 10, pp. 563-577.
10. GERSEVANOV, N. M., 1934, The Foundation of Dynamics of Soils, (in Russian): Stroiizdat, Leningrad.
11. GIBSON, R. E.; SCHIFFMAN, R. L.; AND Pu, S. L., 1970, Plane strain and axially symmetric consolidation of a clay layer on a smooth impervious base: Quarterly Journal of Mechanics and Applied Mathematics, Vol. 13, pp. 505-520.
12. HELM, D. C., 1972, Simulation of aquitard compaction due to changes in stress: Transacitons of the American Geophysical Union, Vol. 53, No. 11, 979 p.
13. HELM, D. C., 1975, One-dimensional simulation of aquifer system compaction near Pixley, California, 1: constant parameters: Water Resources Research, Vol. 11, pp. 465-478.
14. HELM, D. C., 1976, One-dimensional simulation of aquifer system compaction near Pixley, California, 2: stress-dependent parameters: Water Resources Research, Vol 12. pp. 375-391.
15. HELM, D. C., 1979, A postulated relation between granular movement and Darcy's law for transient flow. In Saxena, S. K. (Editor), Evaluation and Prediction of Subsidence: American Society of Civil Engineers, New York, pp. 417-440.
16. HELM, D. C., 1984, Analysis of sedimentary skeletal deformation in a confined aquifer and the resulting drawdown. In Rosenshein, J. S. and Bennett, G. D. (Editors), Groundwater Hydraulics: American Geophysical Union Water Resources Monograph 9: pp. 29-82.
17. HELM, D. C., 1987, Three-dimensional consolidation theory in terms of the velocity of solids: Geotechnique, Vol. 37, No. 3, pp. 369-392.
18. HELM, D. C., 1994a, Horizontal aquifer movement in a Theis-Thiem Confined System: Water Resources Research, Vol. 30, pp. 953-964.
19. HELM, D. C., 1994b, Hydraulic forces that play a role in generating fissures at depth: Bulletin of the Association of Engineering Geologists, Vol. 31, No. 3, pp. 293-303.
20. HSIEH, P. A., 1996, Deformation-induced changes in hydraulic head during ground-water withdrawal: Ground Water, Vol. 34, No. 6, pp. 1082-1089.
21. HUBBERT, M. K., 1940, The theory of ground-water motion: Journal of Geology, Vol. 48, pp. 785-944.
22. JACOB, C. E., 1940, On the flow of water in an elastic artesian aquifer: American Geophysical Union Transactions, Vol. 21, pp. 574-586.
23. LAMBE, T. W. AND WHITMAN, R. V., 1969, Soil Mechanics: John Wiley and Sons, New York, 553 p.
24. LEAKE, S. A., 1990, Interbed storage changes and compaction in models of regional groundwater flow: Water Resources Research, Vol. 26, pp. 1939-1950.
25. LEAKE, S. A., 1991, Simulation of vertical compaction in models of regional ground-water flow. In Johnson, I. A. (Editor), Land Subsidence, Proceedings of the Fourth International Symposium on Land Subsidence, IAHS Publication No. 200, pp. 565-574.
26. LEAKE, S. A. AND PRUDIC, D. E., 1991, Documentation of a Computer Program to Simulate Aquifer-System Compaction Using the Modular Finite-Difference Ground-Water Flow Model, U. S. Geological Survey Technical Water-Resources Investigations, Book 6, Chapter A2: U. S. Geological Survey, Denver, CO, 68 p.
27. LEWIS R. W. AND SCHREFLER, B., 1978, A fully coupled consolidation model of the subsidence of Venice: Water Resources Research, Vol. 14, pp. 223-230.
28. MCNAMEE, J. AND GIBSON, R. E., 1960, Plane strain and axially symmetric problems of consolidation of a semi-infinite clay stratum: Quarterly Journal of Mechanics and Applied Mathematics, Vol. 13, pp. 210-227.
29. MCDONALD, M. G. AND HARBAUGH, A. W., 1988, A Modular Three-Dimensional Finite-Difference Ground-Water Flow Model, U. S. Geological Survey Technical Water-Resources Investigations, Book 6, Chapter A1: U. S. Geological Survey, Denver, CO, 586 p.
30. NARASIMHAN, T. N. AND WITHERSPOON, P. A., 1977, Numerical model for land subsidence in shallow groundwater systems. In Johnson, A. I. (Editor), Land Subsidence, International Association of Scientific Hydrogeology, Publication 121: Unipublishing, New York, pp. 131-144.
31. POLAND, J. F. AND DAVIS, G. H., 1969, Land subsidence due to fluid withdrawal of fluids: Reviews in Engineering Geology, Vol. 2, pp. 187-269.
32. PRESS, W. H.; TEUKOLSKY, S. A.; VETTERLING, W. T.; AND FLANNERY, B. P.; 1992, Numerical Recipes in Fortran, second edition: Cambridge University Press, Cambridge, MA, 963 p.
33. RICE, J. R. AND CLEARY M. P., 1976, Some basic stress diffusion solutions for fluid-saturated elastic porous media with compressible constituents: Review of Geophysics and Space Physics, Vol. 14, pp. 227-241.
34. RILEY, F. S., 1984, Developments in borehole extensometry. In Johnson, A. I.; Carbognin, L.; Ubertini, L. (Editors), Land Subsidence, Proceedings of the 3rd International Symposium on Land Subsidence, Venice, IAHS Publication 151, pp. 169-186.
35. SAFAI, N. M. AND PINDER, GEORGE, 1979, Vertical and horizontal land deformation in a desaturating porous medium: Advanced Water Resources, Vol. 2, pp. 19-25.
36. SMITH, I. M., 1981, Programming the Finite Element Method With Applications to Geomechanics: John Wiley and Sons, New York.
37. SOWERS, G. F., 1979, Introductory Soil Mechanics and Foundations: Geotechnical Engineering: MacMillan Publishing Company, New York, 621 p.
38. SPANGLER, M.G., 1960, Soil Engineering: International Textbook Company, Scranton, PA, 483 p.
39. TERZAGHI, K., 1960, From Theory to Practice in Soil Mechanics: Wiley & Sons, New York, 425 p.
40. VERRUIJT, A., 1969, Elastic storage of aquifers. In De Wiest, R. J. M. (Editor), Flow Through Porous Media: Academic Press, New York, pp. 331-376.
41. WOLFF, R. G., 1970, Relationship between horizontal strain near a well and reverse water level fluctuation: Water Resources Research, Vol. 6, pp. 1721-1728.
42. YERKES, R. F. AND CASTLE, R. O., 1969, Surface deformation associated with oil and gas field operations in the United States. In Tison, L. J. (Editor), Land Subsidence, Vol. 1: International Association of Scientific Hydrologists, Publication 88, pp. 55-66.