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

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

doi:10.4203/ccp.66.10.2

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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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	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 doi:10.4203/ccp.66.10.2 purchase the full-text of this paper 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. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £76 +P&P)
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