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Horizontal well pressure analysis in box-bounded reservoirs

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Abstract

In this paper, solutions to the 3D transient flow mathematical model for horizontal wells in box-rounded reservoirs are presented. The solutions are derived in Laplace transform domain by employing integral transform and point-source superposition. Both efficient computation of pressure responses and practical technology of oil field application mentioned here may be used to interpret the data from unsteady-state horizontal well testing.

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Abbreviations

B :

fluid volume factor, %

c t :

total compressibility, 1/MPa

k :

permeability μm2

L :

half-length of horizontal well, m

Skin :

Skin factor

t :

time, h

s :

Laplace transform variable

x 1 e ,y e :

distance from the well to boundarys, m

μ:

viscosity, mPa·s

x, y, z :

coordinates, m

C :

wellbore storage coefficient, m3/MPa

h :

reservoir thickness; m

K 0(·):

modified Bessel function with order 0

P :

pressure, MPa

q :

rate m3/s

r w :

horizontal wellbore radius, m

z w :

location of the well inz-direction, m

ϕ:

porosity, fraction

D :

dimensionless

i :

initial

h :

horizontal

w :

well

e :

boundary

v :

vertical

References

  1. F. J. Kuchuk, et al., Pressure transient behavior of horizontal wells with and without gas cap or aquifer, Paper SPE 17413 (1988).

  2. E. Ozkan and R. Reghavan, New solutions for well-test-analysis problems: Part 1 E. Ozkan Analytical considerations, Paper SPE 23593 (1991).

  3. Liu Ciqun, et al. Horizontal well test analysis in dual-porosity media, Paper SPE 25086 (1992). (in Chinese)

  4. E. Ozkan and R. Reghavan, New solutions for well-test-analysis problems: Part 3 E. Ozkan Additional algorithm, Paper SPE 28424 (1994).

  5. Chien Weizang,Applied Mathematics, Anhui Science and Technology Press (1993), 901≈903. (in Chinese)

  6. H. Stehfest, Algorithm 368, numerical inversion of Laplace transforms,D-5 Communications of the ACM,13, 1 (1970), 47–49.

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Authors and Affiliations

  1. Institute of Porous Flow and Fluid Mechanics, Academia Sinica, 102801, Langfang, P. R. China

    Wang Xiaodong & Liu Ciqun

Authors
  1. Wang Xiaodong
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  2. Liu Ciqun
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Xiaodong, W., Ciqun, L. Horizontal well pressure analysis in box-bounded reservoirs. Appl Math Mech 19, 315–320 (1998). https://doi.org/10.1007/BF02457535

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  • DOI: https://doi.org/10.1007/BF02457535

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