Transient Pressure Analysis of Bi-Zone Composite Horizontal Wells With Non-Newtonian and Newtonian Power-Law Fluid Flow

JI Anzhao

doi:10.21656/1000-0887.390252

Volume 40 Issue 5

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JI Anzhao. Transient Pressure Analysis of Bi-Zone Composite Horizontal Wells With Non-Newtonian and Newtonian Power-Law Fluid Flow[J]. Applied Mathematics and Mechanics, 2019, 40(5): 562-573. doi: 10.21656/1000-0887.390252

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Transient Pressure Analysis of Bi-Zone Composite Horizontal Wells With Non-Newtonian and Newtonian Power-Law Fluid Flow

doi: 10.21656/1000-0887.390252

JI Anzhao

School of Energy Engineering, Longdong University, Qingyang, Gansu 745100, P.R.China

Received Date: 2018-09-25
Rev Recd Date: 2019-03-15
Publish Date: 2019-05-01

Abstract

Abstract

Polymer flooding plays an important role in enhancing oil recovery and the horizontal well has great advantages in the development of thin reservoirs. Based on the physical process of polymer flooding, a well-test mathematic model for horizontal wells in Newtonian-non-Newtonian bi-zone composite reservoirs was established with the basic theory for point source functions. The analytical solution of the well-test model for horizontal wells was obtained through the Laplace integral transform and the Fourier finite cosine integral transform. The well-test curves of the pressure and the pressure derivative were got with the Stehfest numerical inversion algorithm. The results show that, the smaller the power law index is, the steeper the curves of the pressure and the pressure derivative will be in the outer zone, like a line with a slope of (1-m)/(3-m).When the power law index is 1, the model can be reduced to the traditional model for horizontal wells in bi-zone reservoirs. The longer the horizontal section of the horizontal well is, the earlier the radial flow stage will end. The larger the flow ratio is and the smaller the inner radius is, the higher the positions of the pressure and the pressure derivative curves will be in the outer zone, where the pressure derivative curve keeps as a line with a slope of (1-m)/(3-m).
- polymer flooding,
- power law index,
- Laplace integral transform,
- point source function,
- horizontal well

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References(25)

References

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