eprintid: 58
rev_number: 7
eprint_status: archive
userid: 4
dir: disk0/00/00/00/58
datestamp: 2006-04-04
lastmod: 2015-05-29 19:46:23
status_changed: 2009-04-08 16:53:18
type: report
metadata_visibility: show
item_issues_count: 0
creators_name: Fitt, A.D.
creators_name: Fowkes, N.D.
creators_name: Mason, D.P.
creators_name: Myers, T.G.
creators_name: Moss, E.A.
creators_name: Cheng, J.
creators_id: adf@maths.soton.ac.uk
creators_id: fowkes@maths.uwa.edu.au
creators_id: dpmason@cam.wits.ac.za
creators_id: myers@maths.uct.ac.za
creators_id: emoss@mech.wits.ac.za
creators_id: 
title: Fracturing rock with ultra high pressure water
ispublished: pub
subjects: utilities
subjects: materials
studygroups: misgsa1
full_text_status: public
abstract: Modelling issues are considered for the process of cracking rock in mines using ultra high pressure water. The elevated pressures are caused by the ignition of a propellant and may be as large as 1000MPa. We first consider time, length and pressure scales and then derive a model for the propagation of a two-dimensional crack. A number of aspects of this model are considered and similarity solutions and behaviour near the crack tip are investigated. Consideration is given to a simplified model where the elastic component of the interaction between the rock and the fluid is handled using an elementary closure law: in this case much progress may be made and closed-form solutions may be determined. Conditions are also identified where a model based on “impulsive” lubrication theory is appropriate. However, this leads to a very challenging problem. Finally, some other ways of extending the model to include (for example) fluid leak-off into the rock are discussed.
date: 2004
date_type: published
pages: 17
citation:   Fitt, A.D. and Fowkes, N.D. and Mason, D.P. and Myers, T.G. and Moss, E.A. and Cheng, J.  (2004) Fracturing rock with ultra high pressure water.  [Study Group Report]     
document_url: http://miis.maths.ox.ac.uk/miis/58/1/cracksv5.pdf