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University of Illinois Urbana-Champaign

On similarity waves in compacting media

Dong, Fei; Riahi, Daniel N.; Hsui, Albert T.

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https://hdl.handle.net/2142/293

Description

Title
On similarity waves in compacting media
Author(s)
  • Dong, Fei
  • Riahi, Daniel N.
  • Hsui, Albert T.
Issue Date
2003-05
Keyword(s)
Similarity waves
Date of Ingest
2007-03-08T21:29:17Z
Abstract
Compaction generally refers to the relative motion of fluid with respect to the deformable surroundings in a two-phase system. It has many geophysical and engineering applications, including liquefaction, formation of magma chamber, genesis of igneous rocks, foam drainage, and flow in sediments. In this paper, we followed McKenzie's two-phase flow formulation (1984) to study the flow through a porous medium, which is a commonly used model for compaction study. Using the same approach as Barcilon and Lovera (1989), we studied the wave solution with and without melting effect, under the assumption that the ambient porosity is small. Similarity waves were of particular interest here. We discussed the necessary conditions for a specific class of similarity waves to exist, followed by the general behavior of such waves and numerical determination of the solution for several cases. Parametric studies were also carried out to invstiage the dependence of the solution on factors such as the melting rate, the density ratio, and the permeability of the solid matrix, etc.
Publisher
Department of Theoretical and Applied Mechanics (UIUC)
Series/Report Name or Number
TAM Reports 1024
ISSN
0073-5264
Type of Resource
text
Genre of Resource
Technical Report
Language
en
Permalink
http://hdl.handle.net/2142/293

Owning Collections

Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.