Equivalent mean flow models for fractured aquifers: Insights from a pumping tests scaling interpretation

Water Resources Research

Volumn 40, Issue 3, 2004, Pages

  Le Borgne, T ^a   Bour, O ^a   De Dreuzy, J R ^a   Davy, P ^a   Touchard, F ^a,b  

^a UNIVERSITÉ DE RENNES 1   (France)

^b Bur Rech Geologiques et Minieres   (France)

Author keywords

Fractional flow dimension; Fracture; Groundwater; Heterogeneity; Pumping test; Transient flow

Indexed keywords

FRACTALS; HYDRAULICS; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; WATER RESOURCES; WATER WELLS;

CRYSTALLINE AQUIFIERS; EQUIVALENT MEAN FLOW MODEL; HYDRAULIC HEAD VARIATIONS; PIEZOMETERS;

AQUIFERS;

AQUIFER; DRAWDOWN; FLOW MODELING; FRACTURED MEDIUM; GROUNDWATER; HEAD (PRESSURE); PUMPING;

AQUIFER; DRAWDOWN; FLOW MODELING; FRACTURED MEDIUM; GROUNDWATER FLOW; HYDRAULIC HEAD; PUMPING;

EID: 2042488002     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2003WR002436     Document Type: Article

References (33)

1. Acuna, J. A., and Y. C. Yortsos (1995), Application of fractal geometry to the study of networks of fractures and their pressure transient, Water Resour. Res., 31(3), 527-540.
2. Acuna, J. A., I. Ershaghi, and Y. C. Yortsos (1992), Practical application of fractal pressure-transient analysis in naturally fractured reservoirs, paper presented at the 1992 SPE Annual Fall Meeting, Soc. of Pet. Eng., Washington, D. C., 4-7 Oct.
3. Bangoy, L. M., P. Bidaux, C. Drogue, R. Plegat, and S. Pistre (1992), A new method of characterizing fissured media by pumping tests with observation wells, J. Hydrol., 138(1-2), 77-88.
4. Barenblatt, G. I., I. P. Zheltov, and I. N. Kochina (1960), Basic concept in the theory of seepage of homogeneous liquids in fissured rocks, J. Appl. Math., 24, 1286-1303.
5. Barker, J. A. (1988), A generalized radial flow model for hydraulic tests in fractured rock, Water Resour. Res., 24(10), 1796-1804.
6. Barton, C. C., and P. A. Hsieh (1989), Physical and hydrological flow properties of fractures, Field Trip Guidebook T385, AGU, Washington, D. C.
7. Bonnet, E., O. Bour, N. E. Odling, P. Davy, I. Main, P. Cowie, and B. Berkowitz (2001), Scaling of fracture systems in geological media, Rev. Geophys., 39(3), 347-383.
8. Bour, O., P. Davy, C. Darcel, and N. Odling (2002), A statistical scaling model for fracture network geometry, with validation on a multiscale mapping of a joint network (Hornelen Basin, Norway), J. Geophys. Res., 107(B6), 2113, doi:10.1029/2001JB000176.
9. Bourdarot, G. (1999), Well testing: Interpretation methods, in Collection des Cours de l'ENSPM, 350 pp., edited by editions TECHNIP, IFP, Paris.
10. Chang, J., and Y. C. Yortsos (1990), Pressure-transient analysis of fractal reservoirs, SPE Form. Eval., 5, 31-38.
11. Clauser, C. (1992), Permeability of crystalline rock, Eos Trans. AGU, 73(21), 233, 237-238.
12. Davy, P. (1993), On the frequency-length distribution of the San Andreas fault system, J. Geophys. Res., 98(B7), 12,141-12,151.
13. Day-Lewis, F. D., P. A. Hsieh, and S. M. Gorelick (2000), Identifying fracture-zone geometry using simulated annealing and hydraulic connection data, Water Resour. Res., 36(7), 1707-1721.
14. de Dreuzy, J.-R., P. Davy, and O. Bour (2002), Hydraulic properties of two-dimensional random fracture networks following power law distributions of length and aperture, Water Resour. Res., 38(12), 1276, doi:10.1029/2001WR001009.
15. Guéguen, Y., and V. Palciauskas (1992), Introduction à la Physique des Roches, 300 pp., Hermann, Paris.
16. Halvin, S., and D. Ben-Avraham (1987), Diffusion in disordered media, Adv. Phys., 36(6), 695-798.
17. Hamm, S.-Y., and P. Bidaux (1996), Dual-porosity fractal models for transient flow analysis in fissured rocks, Water Resour. Res., 32(9), 2733-2745.
18. Hirata, T. (1989), Fractal dimension of fault system in Japan: Fractal structure in rock fracture geometry at various scales, Pure Appl. Geophys., 121, 157-170.
19. Hsieh, P. A., J. D. Bredehoeft, and J. F. Farr (1987), Determination of aquifer transmissivity from Earth tide analysis, Water Resour. Res., 23(10), 1824-1832.
20. Hsieh, P. A., J. D. Bredehoeft, and S. A. Rojstaczer (1988), Response of well aquifer systems to Earth tides: Problem revisited, Water Resour. Res., 24(3), 468-472.
21. Kirali, L. (1975), Rapport sur l'état actuel des connaissances dans le domaine des caractères physiques des roches karstiques, in Hydrogeology of Karstic Terrains, edited by A. Burger and L. Dubertret, pp. 53-67, Int. Assoc. of Hydrogeol., Kenilworth, UK.
22. Leveinen, J. (2000), Composite model with fractional flow dimensions for well test analysis in fractured rocks, J. Hydrol., 234(3-4), 116-141.
23. Odling, N. (1997), Scaling and connectivity of joint systems in sandstones from western Norway, J. Struct. Geol., 19(10), 1257-1271.
24. Okubo, P. G., and K. Aki (1987), Fractal geometry in the San Andreas fault system, J. Geophys. Res., 92(B1), 345-355.
25. Olsson, O. (1992), Site characterization and validation, in Final Report: Stripa Project 92-22, Conterra AB, Uppsala, Sweden.
26. O'Shaughnessy, B., and I. Procaccia (1985), Diffusion on fractals, Phys. Rev. A, 32(5), 3073-3083.
27. Ouillon, G., and D. Sornette (1996), Unbiased multifractal analysis: Application to fault patterns, Geophys. Res. Lett., 23(23), 3409-3412.
28. Scholz, C. H., and P. Cowie (1990), Determination of total strain from faulting using slip measurements, Nature, 346, 837-838.
29. Segall, P., and D. Pollard (1983), Joint formation in granitic rock of the Sierra Nevada, Geol. Soc. Am. Bull., 94, 563-575.
30. Stauffer, D., and A. Aharony (1992), Introduction to Percolation Theory, 2nd ed., 181 pp., Taylor and Francis, Philadelphia, Pa.
31. Theis, C. V. (1935), The relation between the lowering of the piezometric surface and the rate and duration of discharge of a well using groundwater storage, Eos Trans. AGU, 16, 519-524.
32. Touchard, F. (1999), Caractérisation hydrologique d'un aquifère en socle fracturé, Ph.D. thesis, in Mémoires de Géosciences Rennes, number 87, 271 pp., Geosci. Rennes, Rennes, France.
33. Villemin, T., and C. Sunwoo (1987), Distribution logarithmique self similaire des rejets et longueurs de failles: Exemple du bassin Houiller Lorrain, C. R. Acad. Sci., Ser. II, 305, 1309-1312.