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Technical Brief

Choked Gas Flow at Pore-Scale and Its Implications to Production From High-Pressure Gas Wells

[+] Author and Article Information
Jing Yuan

School for Engineering of Matter,
Transport and Energy,
Arizona State University,
Tempe, AZ 85287-6106

Kang Ping Chen

School for Engineering of Matter,
Transport and Energy,
Arizona State University,
Tempe, AZ 85287-6106
e-mail: k.p.chen@asu.edu

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received January 6, 2015; final manuscript received July 13, 2015; published online August 25, 2015. Assoc. Editor: Samuel Paolucci.

J. Fluids Eng 138(1), 014501 (Aug 25, 2015) (4 pages) Paper No: FE-15-1009; doi: 10.1115/1.4031176 History: Received January 06, 2015; Revised July 13, 2015

Production from a high-pressure gas well at a high production rate encounters the risk of wellbore tensile failure when the pressure gradient of the averaged gas flow becomes large. At the pore-scale, however, when flow in just one pore is choked, gas pressure gradient at the point of choking becomes singular, leading to an unbounded average of the pressure gradient. This study investigates the choking condition for compressible gas flow in a single pore. It is found that wellbore tensile failure can occur at a much lower inlet-to-outlet pressure ratio than predicted from the macroscopic theory of porous medium flow.

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References

Figures

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Fig. 7

Mach number variation for three different bump sizes at choking condition

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Fig. 8

Pressure variation for three different bump sizes at choking condition

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Fig. 6

Dependence of the critical pressure ratio pin/pout for choking on the pore length

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Fig. 5

Dimensionless pressure at the choking condition for five pores with different lengths

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Fig. 4

Centerline Mach number variation at the choking condition for five pores with different lengths

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Fig. 3

One-dimensional and 2D results for the dimensionless pressure for a pore with one bump

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Fig. 2

One-dimensional and 2D results for local Mach number for a pore with one bump

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Fig. 1

(a) A cross section of a REV, a plane perpendicularly intersects with pores with different diameters and (b) A varicose capillary tube as a model for a pore

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Fig. 9

The critical pressure ratio pin/pout for choking for a tube with one bump as a function of the pore length. Three different sizes of the bump are considered.

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Fig. 10

Centerline Mach number variation along the pore with different number of bumps

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Fig. 11

Variation of the critical pressure ratio pin/pout for choking with the pore length for pores with different number of bumps

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