Permeability Characteristics of Porous Rock with Conduits under Stokes–Brinkman–Darcy Coupling Model
Publication: International Journal of Geomechanics
Volume 21, Issue 6
Abstract
Conduits, the main channels within a rock mass, can significantly affect the permeability characteristics of rock masses. This paper presents a Stokes–Brinkman–Darcy coupling model to study the permeability characteristics of porous rock masses with conduits. In this model, the Navier–Stokes equation and the Brinkman-extended Darcy equation are adopted to describe the fluid motions in the conduit and porous rock matrix, respectively. The analytical solutions of both the velocity distribution and the equivalent permeability coefficient, which is the average permeability for the complete rock volume, are derived under the stress jump boundary condition for a rock mass with a conduit. The results of the sensitivity analysis show that the equivalent permeability coefficient of the rock mass with a conduit is positively correlated with the permeability of the rock mass, the relative aperture of the conduit, and the porosity and is negatively correlated with the stress jump coefficient; the aperture of the conduit plays a dominant role in the equivalent permeability coefficient. In addition, the analytical solution of the equivalent permeability coefficient is verified by a seepage test.
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Acknowledgments
The authors wish to thank the Sichuan Science and Technology Program (Grant No. 2020YFN0012) and the National Nature Science Foundation of China (Grant No. 41772321) for financial support.
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Published In
International Journal of Geomechanics
Volume 21 • Issue 6 • June 2021
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Sep 17, 2020
Accepted: Jan 7, 2021
Published online: Mar 19, 2021
Published in print: Jun 1, 2021
Discussion open until: Aug 19, 2021
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