Abstract
In this article based on the discussion and nonsteady flow of two-layers fractal reservoirs, the solution of generalized C-D equations in Laplace space, and then the solution under different boundary conditions with considering or not considering wellbore storage and skin effects are found out. At last, the nature of the solution under not considering wellbore storage and skin effects is taken under discussion.
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Abbreviations
- B :
-
volumn factor
- C 1,2 :
-
two layers' compressibility, 1/atm
- k 1,2 :
-
two layers' permeability, Darcy
- P p1,2 :
-
two layers' dimensionless pressure
- P i :
-
initial pressure, atm
- r w :
-
wellbore radius, cm
- μ:
-
viscosity, cp
- λ:
-
cross flow parameter
- C d :
-
dimensionless wellbore storage
- h 1,2 :
-
two layers' formation thickness, cm
- k i :
-
modified Bessel function
- P wD :
-
dimensionless wellbore pressure
- Q :
-
production rate, cm3/s
- S :
-
skin factor
- ϕ:
-
porosity
References
J. Chang and Y. C. Yortsos, Pressure-Transient Analysis of Fractal Reservoirs, SPE 18170 (Society of Petroleum Engineers) (1990).
Liu Ciqun, Pressure-transient feature of fractal reservoirs, Presented in the Fifth Meeting of Fluid Mechanics, China (1995).
D. Bourdet, Pressure Behavior of Layered Reservoir with Crossfolw, SPE 13628 (1985).
S. Aprilian, D. Abdassah, L. Mucharam and R. Sumantri, Application of Fractal Reservoir Model for Interference Test Analysis in Kamojang Geothermal Field (Indonesia), SPE 26465 (1993).
J. A. Acunã, I. Ershaghi and Y. C. Yortsos, Practical Application of Fractal Pressure Transient Analysis of Naturally Fractured Reservoirs, SPE 24705, (1992).
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Fanhua, L., Ciqun, L. Pressure-transient analysis of two-layers fractal reservoirs. Appl Math Mech 19, 21–26 (1998). https://doi.org/10.1007/BF02458977
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DOI: https://doi.org/10.1007/BF02458977