Research Papers: Petroleum Wells-Drilling/Production/Construction

Analytical Modeling of Non-Darcy Flow-Induced Conductivity Damage in Propped Hydraulic Fractures

[+] Author and Article Information
M. K. Rahman

Baker Hughes,
Perth, Australia
e-mail: khalil.rahman@bakerhughes.com

M. M. Salim

Kuala Lumpur, Malaysia
e-mail: msalim6@slb.com

M. M. Rahman

The Petroleum Institute,
Abu Dhabi, UAE
e-mail: mrahman@pi.ac.ae

1Corresponding author.

Contributed by the Petroleum Division of ASME for publication in the Journal of Energy Resources Technology. Manuscript received May 14, 2011; final manuscript received June 6, 2012; published online October 29, 2012. Assoc. Editor: Desheng Zhou.

J. Energy Resour. Technol 134(4), 043101 (Oct 29, 2012) (8 pages) doi:10.1115/1.4007658 History: Received May 14, 2011; Revised June 06, 2012

This paper presents a simple analytical method to model the non-Darcy flow effect on the production performance of hydraulically fractured wells by modifying the fracture conductivity. The method is suitable to conveniently incorporate the non-Darcy flow effect in a production prediction model usually used for fracture treatment design and optimization. The method is validated against published information of field productivity and production prediction by other complex methods. The method is then used to demonstrate that the non-Darcy effect is one of the major sources for the loss of fracture conductivity, even at a low flow rate well, and hence the source for discrepancy between the predicted and actual productivities. Finally, the implication of neglecting the non-Darcy effect in fracture treatment optimization is also investigated, emphasizing the need to incorporate this effect even for low flow rate wells.

Copyright © 2012 by ASME
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Fig. 1

Flow chart of proposed analytical model

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Fig. 2

Convergence test of the proposed method for non-Darcy flow effect calculation

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Fig. 3

Validation of the proposed model with Handren et al. [4] for (a) RCS 20/40 and (b) LWC 20/40 proppants

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Fig. 4

Effect of increasing fracture conductivity on non-Darcy affected dimensionless fracture conductivity

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Fig. 5

Effect of dimensionless fracture conductivity on Darcy and non-Darcy flow rates

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Fig. 6

Darcy and non-Darcy IPR curves for a hydraulically fractured reservoir

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Fig. 7

Effect of reservoir permeability on Darcy and non-Darcy flow rates through a fracture

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Fig. 8

Effect of fracture half-length on Darcy and non-Darcy flow rates in (a) moderately tight reservoirs and (b) extremely tight reservoirs

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Fig. 9

Effect of fracture half-length on Darcy and non-Darcy flow rates in relatively high permeability reservoirs

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Fig. 10

Comparison of cumulative productions from treatments optimized with Darcy and non-Darcy flow models



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