Dual-porosity fractal models for transient flow analysis in fissured rocks

Water Resources Research

Volumn 32, Issue 9, 1996, Pages 2733-2745

  Hamm, Se Yeong ^a,b   Bidaux, Pascal ^a  

^a CNRS   (France)

^b Korea Institute of Geosceince and Mineral Resources   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW MEASUREMENT; FRACTAL ANALYSIS; MODEL; POROSITY; ROCK; SKIN; STORAGE;

POROSITY; PUMPS-WELL PUMPS; ROCK; TRANSIENT FLOW;

DUAL POROSITY; FLUID FLOW; FRACTURED MEDIUM; TRANSIENT FLOW;

EID: 0029821497     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/96WR01464     Document Type: Article

References (28)

1. Acuna, J. A., and Y. C. Yortsos, Application of fractal geometry to the study of networks of fractures and their pressure transient, Water Resour. Res., 31(3), 527-540, 1995.
2. Allègre, C. J., J.-L. Le Mouël, and A. Provost, Scaling rules in rock fractures and possible implications for earthquake prediction, Nature, 297, 47-49, 1982.
3. Amos, D. E., Algorithm 664: A portable package for Bessel functions of complex argument and nonnegative order, ACM Trans. Math. Software, 12(3), 265-273, 1986.
4. Bangoy, L. M., P. Bidaux, C. Drogue, R. Plégat, and S. Pistre, A new method of characterizing fissured media by pumping tests with observation wells, J. Hydrol., 138, 77-88, 1992.
5. Barenblatt, G. E., I. P. Zheltov, and I. N. Kochina, Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks, J. Appl. Math. Mech., Engl. Transl., 24(5), 1286-1303, 1960.
6. Barker, J. A., A generalized radial flow model for hydraulic tests in fractured rock, Water Resour. Res., 24(10), 1796-1804, 1988.
7. Bear, J., Dynamics of Fluids in Porous Media, 764 pp., Elsevier, New York, 1972.
8. Boulton, N. S., and T. D. Streltsova, Unsteady flow to a pumped well in a fissured water-bearing formation, J. Hydrol., 35, 257-269, 1977.
9. Bourdet, D., T. M. Whittle, A. A. Douglas, and Y. M. Pirard, A new set of type-curves simplifies well test analysis, World Oil, 95-106, May 1983.
10. Bourdet, D., J. A. Ayoub, and Y. M. Pirard, Use of pressure derivative in well test interpretation, paper presented at Annual California Regional Meeting, Soc. of Pet. Eng., Long Beach, Calif., April 11-13, 1984.
11. Chang, J., and Y. C. Yortsos, Pressure transient analysis of fractal reservoirs, paper presented at 63rd Annual Technical Conference and Exhibition, Soc. of Pet. Eng., Houston, Tex., Oct. 2-5, 1988.
12. Cinco-Ley, H., and F. Samaniego-V., Transient pressure analysis for fractured wells, J. Pet. Tech., 33, 1749-1766, 1981.
13. Ferris, J. G., D. B. Knowles, R. H. Brown, and R. W. Stallman, Theory of aquifer tests, U.S. Geol. Surv. Water Supply Pap., 1536-E, 60-174, 1962.
14. Gringarten, A. C., and P. A. Witherspoon, A method of analyzing pump test data from fractured aquifers, in Symposium "Percolation Through Fissured Rock" - Proceedings, pp. T3B1-T3B6, Dtsch. Gesell., Essen, Germany, 1972.
15. Hamm, S.-Y., and P. Bidaux, Transient flow with fractal geometry and leakage: Theory and application, C. R. Acad. Sci. Paris, Ser. 2, 318, 227-233, 1994a.
16. Hamm, S.-Y., and P. Bidaux, Stationary dual-porosity fractal model of groundwater flow in fractured aquifers, J. Eng. Geol. Korean Soc. Eng. Geol., 4(2), 127-138, 1994b.
17. Hantush, M. S., Analysis of data from tests in leaky aquifers, Eos Trans. AGU, 37(6), 702-714, 1956.
18. Jenkins, D. N., and J. K. Prentice, Theory for aquifer test analysis in fractured rocks under linear (nonradial) flow conditions, Ground Water, 20(1), 12-21, 1982.
19. Kazemi, H., Pressure transient analysis of naturally fractured reservoirs with uniform fracture distributions, Trans. Soc. Pet. Eng., 246, 451-462, 1969.
20. Lim, J. U., Y. K. Kim, J. K. Kim, K. S. Sung, and S. Y. Kim, Investigation report of geothermal potential, Shinbook-myeon, Pocheon area, Rep. 43, Korea Inst. of Energy and Resour., 1990.
21. Moench, A. F., Double-porosity models for a fissured groundwater reservoir with fracture skin, Water Resour. Res., 20(7), 831-846, 1984.
22. Stauffer, D., Introduction to Percolation Theory, 124 pp., Taylor and Francis, Bristol, Pa., 1985.
23. Stehfest, H., Algorithm 368, Numerical inversion of Laplace transforms, Commun. ACM, 13(1), 47-49, 1970.
24. Streltsova, T. D., Hydrodynamics of groundwater flow in fractured formation, Water Resour. Res., 12(3), 405-414, 1976.
25. Thomas, A., Structure fractale de l'architecture des champs de fractures en milieu rocheux, C. R. Acad. Sci. Paris, Ser. 2, 304, 181-186, 1987.
26. van Everdingen, A. F., and W. Hurst, The skin effect and its influence on the productive capacity of the well, Trans. Am. Inst. Min. Metall. Pet. Eng., 198, 171-176, 1953.
27. Velde, B., J. Dubois, D. Moore, and J. Touchard, Fractal patterns of fractures in granites, Earth Planet. Sci. Lett., 104, 25-35, 1991.
28. Warren, J. E., and P. J. Root, The behavior of naturally fractured reservoirs, Soc. Pet. Eng. J., 3(2), 245-255, 1963.