Well Test Solutions for Vertically Fractured Injection Wells

Transport in Porous Media

Volumn 29, Issue 1, 1997, Pages 27-45

  Spath, J B ^a   Thambynayagam, R K M ^a  

^a NONE   (United States)

Author keywords

Elliptical flow; Injection well; Mathieu functions; Transient analysis; Water injection; Waterflooding; Well testing

Indexed keywords

FLOODS; FLOW OF WATER; MATHEMATICAL MODELS; PRESSURE; PROBLEM SOLVING;

ELLIPTICAL FLOW; INJECTION WELLS; MATHIEU FUNCTIONS; WATERFLOODING;

WELL TESTING;

FLUID FLOW; FRACTURE; INJECTION WELL;

EID: 0031253449     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1006577713636     Document Type: Article

References (19)

1. Hazebroek, P., Rainbow, H. and Mathews, C. C.: Pressure fall-off in water injection wells, Trans. of AIME (1958), 250-260.
2. Kazemi, H., Merrill, L. S. and Jargon, J. R.: Problems in interpretation of pressure fall-off tests in reservoirs with and without fluid banks, J. Petrol. Tech. (1972), 1147-1156.
3. Merrill, L. S., Jr., Kazemi, H. and Gogarty, W. B.: Pressure falloff analysis in reservoirs with fluid banks, Journal of Petroleum Technology, (1979), 809-818.
4. Woodward, D. K., Thambynayagam, R. K. M.: Pressure buildup and falloff analysis of water injection tests, paper SPE 12344, 1983.
5. Thambynayagam, R. K. M.: Analytic solutions for pressure buildup and falloff analysis of water injection tests of partially penetrating wells: Non-unit mobility ratios, paper SPE 12965, 1983.
6. Kuchuk, F. and Brigham, E. W.: Transient flow in elliptical systems, Soc. Petrol. Eng. J. (1979) 401-410.
7. Obut, S. T. and Ertekin, T.: A composite system solution in elliptic flow geometry, SPEFE (1987), 227-236.
8. Stanislav, J. F., Easwaran, C. V. and Kokal, S. L.: Analytical solutions for vertical fractures in a composite system, J. Canad. Petrol. Technol. 1987.
9. Abbaszadeh, M. and Kamal, M.: Pressure-transient testing of water injection wells, SPERE (1989), 115-124.
10. Ramakrishnan, T. S. and Kuchuk, F.: Transient testing in injection wells: constant rate solutions and convolution, SDR Research Note, 1989.
11. U.S. Bureau of Standards, Tables Relating to Mathieu Functions, Vol. II. Washington, DC: US Govt. Printing Office, 1965.
12. Gringarten, A. C., Ramey, H.J., Jr and Raghavan, R.: Unsteady-state pressure distribution created by a well with a single infinite-conductivity vertical fracture, Soc. Petrol. Eng. J. (1974), 347-360.
13. Muskat, M.: Physical Principles of Oil Production, McGraw-Hill, New York, 1949.
14. Benson, S. M. and Bodvarrsson, G.: A pressure transient method for front tracking. Paper SPE 12130 presented at the 58th Annual Technical Conference and Exhibition, San Francisco, CA., 1983.
15. McLachlan, N. W.: Theory and Application of Mathieu Functions, London: Oxford University Press., 1947.
16. Peskin, Edward: Periodic Differential Equations. Boston Technical Publishers, Inc., Cambridge, Mass., 1965.
17. Smith, J. J.: A method of solving Mathieu's equation, J. AIEE, 1955.
18. Rengarajan, S. R. and Lewis, J. E.: Mathieu functions of integral orders and real arguments, IEEE Transactions on Microwave Theory and Techniques, Vol. MTT-28, No. 3, 1980.
19. Fruchting, H.: Fourier coefficients of Mathieu functions in stable regions, J. Res. Nat. Bureau of Standards, 73B(1) (1969).