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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 66
COMPUTATIONAL MECHANICS: TECHNIQUES AND DEVELOPMENTS
Edited by: B.H.V. Topping
Paper X.2

On a Coupled Elastic-fluid Problem with a Moving Boundary

V.R. Voller, E. Detournay and A. Savitski

Department of Civil Engineering, University of Minnesota, Minneapolis, Minnesota, United States of America

Full Bibliographic Reference for this paper
V.R. Voller, E. Detournay, A. Savitski, "On a Coupled Elastic-fluid Problem with a Moving Boundary", in B.H.V. Topping, (Editor), "Computational Mechanics: Techniques and Developments", Civil-Comp Press, Edinburgh, UK, pp 269-273, 2000. doi:10.4203/ccp.66.10.2
Abstract
The numerical solution of a fracture propagating through a homogeneous elastic material by fluid injection is presented. As an example, the so-called PKN model of a hydraulic fracture with an elliptic cross section propagating with a Newtonian fluid is investigated. The key elements in the solution are: coupled solid and fluid equations and the tracking of the fracture tip. The fracture tip's moving boundary is modeled on a fixed grid, using a Volume of Fluid method. Numerical predictions of the fracture front, fracture opening, and net pressure compare well with analytical solutions.

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