Date of download: 7/9/2016 Copyright © ASME. All rights reserved. From: Highly Compressible Porous Media Flow near a Wellbore: Effect of Gas Acceleration J. Fluids Eng. 2012;134(1): doi: / The radial flow configuration. The wellbore radius is Rw*, and the outer boundary radius is Re*. Gas moves radially inward towards the wellbore. Figure Legend:

Date of download: 7/9/2016 Copyright © ASME. All rights reserved. From: Highly Compressible Porous Media Flow near a Wellbore: Effect of Gas Acceleration J. Fluids Eng. 2012;134(1): doi: / Mach number as a function of radial distance to the wellbore. re = 1000, σ = 10, Y = 20, m = 3.7. The Mach number increases from at re = 1000 to for the acceleration model and to for the Darcy-Forchheimer model at the wellbore r = 1. Figure Legend:

Date of download: 7/9/2016 Copyright © ASME. All rights reserved. From: Highly Compressible Porous Media Flow near a Wellbore: Effect of Gas Acceleration J. Fluids Eng. 2012;134(1): doi: / Variation of dimensionless mass flow-rate m with dimensionless well pressure S. re = 1000, σ = 10, Y = 20. The Darcy model gives significantly larger mass flow-rate. The acceleration model predicts choked flow at Sch = , with a maximum mass flow-rate mmax = Figure Legend:

Date of download: 7/9/2016 Copyright © ASME. All rights reserved. From: Highly Compressible Porous Media Flow near a Wellbore: Effect of Gas Acceleration J. Fluids Eng. 2012;134(1): doi: / Critical well pressure for choking versus Y for re = 1000, σ = 10. For the same mass flow-rate, the Darcy-Forchheimer model over-predicts well pressure by nearly 100%. Figure Legend:

Date of download: 7/9/2016 Copyright © ASME. All rights reserved. From: Highly Compressible Porous Media Flow near a Wellbore: Effect of Gas Acceleration J. Fluids Eng. 2012;134(1): doi: / Maximum mass flow-rate mmax versus Y for re = 1000, σ = 10. The acceleration model and the Darcy-Forchheimer model both predict linear dependence of mmax on Y, while the Darcy model predicts a quadratic dependence. Figure Legend:

Date of download: 7/9/2016 Copyright © ASME. All rights reserved. From: Highly Compressible Porous Media Flow near a Wellbore: Effect of Gas Acceleration J. Fluids Eng. 2012;134(1): doi: / Maximum mass flow-rate mmax versusthe Forchheimer parameter σ for re = 100,1000, Y = 80. mmax is sensitive to changes in the Forchheimer parameter σ, but insensitive to changes in the outer radius re as long as re is large. Figure Legend:

Date of download: 7/9/2016 Copyright © ASME. All rights reserved. From: Highly Compressible Porous Media Flow near a Wellbore: Effect of Gas Acceleration J. Fluids Eng. 2012;134(1): doi: / Critical well pressure for choking Sch versusthe Forchheimer parameter σ for re = 100,1000, Y = 80. Sch is sensitive to changes in the Forchheimer parameter σ, but insensitive to changes in the outer radius re as long as re is large. Figure Legend:

Date of download: 7/9/2016 Copyright © ASME. All rights reserved. From: Highly Compressible Porous Media Flow near a Wellbore: Effect of Gas Acceleration J. Fluids Eng. 2012;134(1): doi: / Pressure distributions as a function of radial distance to the wellbore. re = 1000, σ = 10, Y = 20, m = 3.7. Figure Legend:

Date of download: 7/9/2016 Copyright © ASME. All rights reserved. From: Highly Compressible Porous Media Flow near a Wellbore: Effect of Gas Acceleration J. Fluids Eng. 2012;134(1): doi: / Pressure profile steepening with increasing mass flow-rate. re = 1000, σ = 10, Y = 20, m = 1.0, 2.0, 3.0, 3.5, 3.6, The flow becomes choked when m = , and the pressure profile has a vertical tangent at the wellbore r = 1 at this choking condition. Figure Legend: