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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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