0
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.

FIGURES IN THIS ARTICLE
<>
Copyright © 2016 by ASME
Your Session has timed out. Please sign back in to continue.

References

Jin, Y. , Chen, K. P. , Chen, M. , Grapsas, N. , and Zhang, F. X. , 2011, “Short-Time Pressure Response During the Start-Up of a Constant-Rate Production of a High Pressure Gas Well,” Phys. Fluids, 23(4), p. 043101. [CrossRef]
Jin, Y. , Chen, K. P. , Chen, M. , and Grapsas, N. , 2012, “Gas Expansion Induced Acceleration Effect in High Pressure Gas Flows Near a Wellbore,” J. Porous Media, 15(4), pp. 317–328. [CrossRef]
Jin, Y. , Chen, K. P. , and Chen, M. , 2012, “Highly Compressible Porous Media Flow Near a Wellbore: Effect of Gas Acceleration,” ASME J. Fluids Eng., 134(1), p. 011301. [CrossRef]
Fjaer, E. , Holt, R. M. , Horsrud, P. , Raaen, A. M. , and Risnes, R. , 2008, Petroleum Related Rock Mechanics, Elsevier, Amsterdam, Chap. 4.
Jin, Y. , Chen, K. P. , and Chen, M. , 2011, “Development of Tensile Stress Near a Wellbore in High Pressure Gas Flows,” Int. J. Rock Mech. Min. Sci., 48(8), pp. 1313–1319. [CrossRef]
Chen, K. P. , 2011, “A New Mechanistic Model for Prediction of Instantaneous Coal Outbursts-Dedicated to the Memory of Prof. Daniel D. Joseph,” Int. J. Coal Geol., 87(2), pp. 72–79. [CrossRef]
Green, L. , and Duwez, P. , 1951, “Fluid Flow Through Porous Metals,” ASME J. Appl. Mech., 18, pp. 39–45.
Shreeve, R. P. , 1968, “Supersonic Flow From a Porous Metal Plate,” AIAA J., 6(4), pp. 752–753. [CrossRef]
Emanuel, G. , and Jones, J. P. , 1968, “Compressible Flow Through a Porous Plate,” Int. J. Heat Mass Transfer, 11(5), pp. 827–836. [CrossRef]
Beavers, G. S. , and Sparrow, E. M. , 1971, “Compressible Gas Flow Through a Porous Material,” Int. J. Heat Mass Transfer, 14(11), pp.1855–1859. [CrossRef]
Nield, D. A. , 1994, “Modeling High Speed Flow of a Compressible Fluid in a Saturated Porous Medium,” Transp. Porous Media, 14(1), pp. 85–88. [CrossRef]
Kodres, C. A. , 1994, “Flow Parameter Approach to Modeling the Flow of Heated Gases Through High Resistance Porous Media,” Transp. Porous Media, 15(3), pp. 229–249. [CrossRef]
de Ville, A. , 1996, “On the Properties of Compressible Gas Flow in a Porous Media,” Transp. Porous Media, 22(3), pp. 287–306. [CrossRef]
Bear, J. , 1972, Dynamics of Fluids in Porous Media, Dover Publications, New York, Chap. 5.
Nield, D. A. , and Bejan, A. , 2013, Convection in Porous Media, 4th ed., Springer, New York, Chap. 1.
Zucrow, M. J. , and Hoffman, J. D. , 1976, Gas Dynamics, Vol. 1, Wiley, New York, Chap. 2–6.
Saad, M. A. , 1993, Compressible Fluid Flow, 2nd ed., Prentice Hall, New York, Chap. 3.
ANSYS, Inc., 2011, ANSYS FLUENT User's Guide.
ANSYS, Inc., 2009, ANSYS FLUENT Theory Guide.

Figures

Grahic Jump Location
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

Grahic Jump Location
Fig. 2

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

Grahic Jump Location
Fig. 3

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

Grahic Jump Location
Fig. 4

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

Grahic Jump Location
Fig. 5

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

Grahic Jump Location
Fig. 6

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

Grahic Jump Location
Fig. 7

Mach number variation for three different bump sizes at choking condition

Grahic Jump Location
Fig. 8

Pressure variation for three different bump sizes at choking condition

Grahic Jump Location
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.

Grahic Jump Location
Fig. 10

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

Grahic Jump Location
Fig. 11

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

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In