Mathematical Model of Two-Phase Fluid Nonlinear Flow in Low-Permeability Porous Media With Applications

DENG Ying-er; LIU Ci-qun

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Article Navigation > Applied Mathematics and Mechanics > 2003 > 24(10): 1049-1056

DENG Ying-er, LIU Ci-qun. Mathematical Model of Two-Phase Fluid Nonlinear Flow in Low-Permeability Porous Media With Applications[J]. Applied Mathematics and Mechanics, 2003, 24(10): 1049-1056.

Citation:

DENG Ying-er, LIU Ci-qun. Mathematical Model of Two-Phase Fluid Nonlinear Flow in Low-Permeability Porous Media With Applications[J]. Applied Mathematics and Mechanics, 2003, 24(10): 1049-1056.

Citation:

DENG Ying-er, LIU Ci-qun. Mathematical Model of Two-Phase Fluid Nonlinear Flow in Low-Permeability Porous Media With Applications[J]. Applied Mathematics and Mechanics, 2003, 24(10): 1049-1056.

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Mathematical Model of Two-Phase Fluid Nonlinear Flow in Low-Permeability Porous Media With Applications

DENG Ying-er^1,2,
LIU Ci-qun³

1.
Engineering, Chengdu University of Technology, Chengdu 610059, P.R.China;
2.
Department of Energy, Chengdu University of Technology, Chengdu 610059, P.R.China;
3.
Institute of Porous Flow and Fluid Mechanics, Chinese Academy of Sciences, Langfang, Hebei 065007, P.R.China

Received Date: 2002-06-14
Rev Recd Date: 2003-05-06
Publish Date: 2003-10-15

Abstract

Abstract

A mathematical model of two-phase fluid nonlinear flow in the direction of normal of ellipse through low-permeability porous media was established according to a nonlinear flow law expressed in a continuous function with three parameters,a mass conservation law and a concept of tur-bulent ellipses.A solution to the model was obtained by using a finite difference method and an extrapolation method.Formulas of calculating development index not only before but also after water breaks through an oil well in the condition of two-phase fluid nonlinear flow in the media were derived.An example was discussed.Water saturation distribution was presented.The moving law of drainage front was found.Laws of change of pressure difference with time were recognized.Results show that there is much difference of water saturation distribution between nonlinear flow and linear flow;that drainage front by water moves faster,water breaks through sooner and the index gets worse because of the nonlinear flow;and that dimensionless pressure difference gets larger at the same dimensionless time and difficulty of oil development becomes bigger by the nonlinear flow.Thus,it is necessary that influence of nonlinear flow on development indexes of the oil fields be taken into account.The results provide water-flooding development of the oil fields with scientific basis.
- low permeability,
- porous media,
- two-phase fluid,
- nonlinear flow,
- finite difference method,
- extrapolation method

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References(16)

References

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