The 2D steady hydraulic head field surrounding a pumping well in a finite heterogeneous confined aquifer

Mathematical Geology

Volumn 31, Issue 7, 1999, Pages 873-906

  Axness, Carl L ^a   Carrera, Jesus ^b  

^a SANDIA NATIONAL LABORATORIES   (United States)

^b UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Conditioning; Green's functions; Nonergodic; Nonstationary; Perturbation methods; Stochastic

Indexed keywords

AQUIFER; HYDRAULIC CONDUCTIVITY; POROUS MEDIUM;

AQUIFER; GREEN FUNCTION; HYDRAULIC HEAD; PERTURBATION;

EID: 0032873138     PISSN: 08828121     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007528918105     Document Type: Article

References (14)

1. Axness, C. L., Sánchez-Vila, X., and Carrera, J., 1997, The 2D steady hydraulic head field surrounding a pumping well in a finite heterogeneous confined aquifer: Proc. IAMG'97, Part 2, Barcelona, Sept. 22-27.
2. Axness, C. L., Carrera, J., and Bayer, M., 1998, A new finite element formulation for solution of the hydrodynamic flow equation for convergent flow problems: Computer Methods for Engineering in Porous Media Flow and Transport, Giens, France, Sept. 28-Oct. 2.
3. Craft, B. C., and Hawkins, M. F., 1959, Applied petroleum reservoir engineering: Prentice-Hall, Englewood Cliffs, NJ, 437 p.
4. Dagan, G., 1986, Statistical theory of groundwater flow and transport: Pore to laboratory, laboratory to formation, and formation to regional scale: Water Resources Res., v. 22, p. 120S-135S.
5. Dagan, G., 1989, Flow and transport in porous formations: Springer-Verlag, Berlin, 461 p.
6. Gelhar, L. W., 1993, Stochastic subsurface hydrology: Prentice-Hall, Englewood Cliffs, NJ, 390 p.
7. Gradshteyn, I. S., and Ryzhik, I. M., 1994, Table of integrals, series, and products: Academic Press, New York, 1204 p.
8. Indelman, P., Fiori, A., and Dagan, G., 1996, Steady flow towards wells in heterogeneous formations: Mean head and equivalent conductivity: Water Resources Res., v. 32, p. 1975-1983.
9. Mantoglou, A., and Wilson, J. L., 1982, The turning bands method for simulation of random fields using line generation by a spectral method: Water Resources Res., v. 18, p. 1379-1394.
10. Naff, R. L., and Vecchia, A. V., 1986, Stochastic analysis of three-dimensional flow in a bounded domain: Water Resources Res., v. 22, p. 695-704.
11. Prudnikov, A. P., Brychkov, Y. A., and Marichev, O. I., 1992, Integrals and series: Gordon & Breach Science Publishers, NY, v. 1.
12. Sánchez-Vila, X., Axness, C. L., and Carrera, J., 1996, Equivalent transmissivities in heterogeneous porous media under radially convergent flow: First European Conference on Geostatistics for Environmental Applications, Lisbon, Nov. 20-22.
13. Sánchez-Vila, X., Axness, C. L., and Carrera, J., 1999, Upscaling transmissivity under radially convergent flow in heterogeneous media: Water Resources Res., v. 104, p. 613-621.
14. Zimmerman, A., and Wilson, J. L., 1990, Description of and user's manual for TUBA: A computer code for generating random two-dimensional random fields via the turning bands methods: Seasoft Software, Albuquerque, NM.