Fluid flow in tight gas reservoirs with abnormal high pressure presents nonlinear behaviors. A mathematical description of these behaviors is essential for establishing the flow model. In this study, a mathematical model is presented that describes the effect of threshold pressure gradient and rock deformation on gas flow parameters in a tight gas reservoir. A fully implicit 3D gas and water phase numerical model was derived using the finite difference method. Based on software engineering principles, a 3D gas and water simulator was developed, which can be used in research on nonlinear flow mechanisms and flow simulation in abnormal high-pressure gas reservoir. The simulator proved to be reliable through a comparison with a commercial simulator, and it was used successfully for prediction of gas production in the M reservoir.
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Acknowledgement
This work was financially supported by the National Science and Technology Major Project (2017ZX05013-005). The authors would also like to thank the reviewers and editors whose critical comment: were very helpful in preparing this article.
NOMENCLATURE
\( \overrightarrow{V} \) flow velocity in porous media, cm/s
P pressure, MPa
PD dimensionless pressure
Pi initial pressure, MPa
K permeability, mD
KD dimensionless permeability
Ki initial permeability, mD
Kr relative permeability, mD
μ viscosity of the fluid, mPa∙s
Φ velocity potential
λ threshold pressure gradient, MPa/m
ξ correction factor of non-Darcy flow with high velocity of gas flow, dimensionless
ϕ porosity
B volume factor, dimensionless
Q surface fluid rate per unit volume of rock, m3/d
S saturation
t time, s
\( {P}_g^0 \) reference pressure, MPa
ϕ0 porosity under conditions of reference pressure
Cr rock compressibility. MPa-1
Pcgw capillary pressure of gas and water, MPa
SUBSCRIPTS
l denotes a phase (gas or water)
g gas phase
w water phase
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Translated from Khimiya i Tekhnologiya Topliv i Masel, No. 1, pp. 40 — 46, January — February, 2020.
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Feng, G., Huang, Z. & Yang, H. A 3D Gas and Water Simulator Considering Nonlinear Flow Behaviors for Abnormal High-Pressure Tight Gas Reservoirs. Chem Technol Fuels Oils 56, 60–72 (2020). https://doi.org/10.1007/s10553-020-01111-z
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DOI: https://doi.org/10.1007/s10553-020-01111-z