Hydraulic fracturing with a simplified fluid model and XFEM. Issue 1 (25th October 2016)

• Record Type: Journal Article
• Authors: Schätzer, Markus; Fries, Thomas‐Peter
• Is Part Of: Proceedings in applied mathematics and mechanics. Volume 16:Issue 1(2016)
• Page Start: 167
• Page End: 168
• Publication Date: 2016-10-25
• Subjects: Applied mathematics -- Periodicals; Engineering mathematics -- Periodicals; Mathematical physics -- Periodicals; 519
• DOI: 10.1002/pamm.201610072
• Languages: English
• ISSNs: 1617-7061

Abstract

Abstract: In hydraulic fracturing, the pressure exerted by the fracking fluid onto the surrounding solid, is typically obtained from solving the Reynolds equation. This is not always robust and leads to a complex behaviour at the crack front (toughness or viscous regimes). In the presented work, the Reynolds equation is replaced by a simplified fluid model, where pre‐defined pressure distributions are assumed which lead to a simpler and robust coupled problem. The surface integration of the fluid pressure onto the surrounding solid is outlined without any limitations on the distributions. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)