Estimating the horizontal gradient in heterogeneous, unconfined aquifers: comparison of three-point schemes

Ground Water Monitoring and Remediation

Volumn 16, Issue 2, 1996, Pages 84-91

  Cole, Bryce E ^a   Silliman, Stephen E ^a  

^a UNIVERSITY OF NOTRE DAME   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; ESTIMATION; GROUNDWATER FLOW; HYDRAULICS; MONTE CARLO METHODS; WATER WELLS;

HETEROGENEOUS SYSTEM; HORIZONTAL GRADIENT;

AQUIFERS;

EID: 0030103683     PISSN: 10693629     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1745-6592.1996.tb00128.x     Document Type: Article

References (17)

1. Anderson, M.P. 1991. Comment on "Universal scaling of hydraulic conductivities and dispersivities in geologic media" by S.P. Neuman. Water Resources Research 27, no. 6: 1381-1382.
2. Bakr, A.A., L.W. Gelhar, A.L. Gutjahr, and J.R. McMillan. 1978. Stochastic analysis of spatial variability in subsurface flows: 1. Comparison of one-and three-dimensional flows. Water Resources Research 14, no. 2: 263-271.
3. Bear, J. 1979. Hydraulics of groundwater. New York: McGraw-Hill.
4. Crawford, L.A., and T.C. Rasmussen. 1994. Total head determination using barometric pressure and water level observations in unconfined aquifers. EOS 75, no. 44: 251.
5. Dagan, G. 1979. Models of groundwater flow in statistically homogeneous porous formations. Water Resources Research 15, no. 1: 47-63.
6. Dagan, G. 1986. Statistical theory of groundwater flow and transport: Pore to laboratory, laboratory to formation, and formation to regional scale. Water Resources Research 22, no. 9: 120S-134S.
7. Davis, J.M., R.C. Lohmann, FM. Phillips, J.L. Wilson, and D.W. Love. 1993. Architecture of the Sierra Ladrones Formation, central New Mexico: Depositional controls on the permeability correlation structure. In Geological Society of America Bulletin 105, 998-1007.
8. Freeze, R.A. 1975. A stochastic-conceptual analysis of one-dimensional groundwater flow in nonuniform homogeneous media. Water Resources Research 11, no. 5: 725-741.
9. Hill, M.C. 1990. Preconditioned Conjugate-Gradient 2 (PCG2), a computer program for solving ground-water flow equations. USGS Water-Resources Investigations Report 90-4048.
10. Hoeksema, R.J., and P.K. Kitanidis. 1985. Analysis of the spatial structure of properties of selected aquifers. Water Resources Research 21, no. 4: 563-572.
11. McDonald, M.G., and A.W. Harbaugh. 1988. A modular three-dimensional finite-difference ground-water flow model. U.S. Geological Survey techniques of water resources investigations. Book 6, Chapter A1. Denver, Colorado: U.S. Government Printing Office.
12. Neuman, S.P. 1991. Reply. Water Resources Research 27, no. 6: 1383-1384.
13. Neuman, S.P. 1990. Universal scaling of hydraulic conductivities and dispersivities in geologic media. Water Resources Research 26, no. 8: 1749-1758.
14. Silliman, S.E., and C. Frost. 1995. The utility of three-point gradient estimates in the presence of multiple wells. EOS 76, no. 17: S136.
15. Silliman, S.E., and A.L. Wright. 1991. Generation of random fields characterized by discrete regions of constant value. Applied Mathematics and Computation 45, 293-311.
16. Smith, L., and R.A. Freeze. 1979. Stochastic analysis of steady-state groundwater flow in a bounded domain: 2. Two-dimensional simulations. Water Resources Research 15, no. 6: 1543-1559.
17. Warren, J.E., and H.S. Price. 1961. Flow in heterogeneous porous media. Society of Petroleum Engineers Journal 1, 153-169.