Vol. 1, No. 1, 2006
Download this article
Download this article For screen
For printing
Recent Issues
Volume 20, Issue 1
Volume 19, Issue 1
Volume 18, Issue 1
Volume 17, Issue 1
Volume 16, Issue 2
Volume 16, Issue 1
Volume 15, Issue 2
Volume 15, Issue 1
Volume 14, Issue 2
Volume 14, Issue 1
Volume 13, Issue 2
Volume 13, Issue 1
Volume 12, Issue 1
Volume 11, Issue 2
Volume 11, Issue 1
Volume 10, Issue 2
Volume 10, Issue 1
Volume 9, Issue 2
Volume 9, Issue 1
Volume 8, Issue 1
Volume 7, Issue 2
Volume 7, Issue 1
Volume 6, Issue 1
Volume 5, Issue 2
Volume 5, Issue 1
Volume 4, Issue 1
Volume 3, Issue 1
Volume 2, Issue 1
Volume 1, Issue 1
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN 2157-5452 (electronic)
ISSN 1559-3940 (print)
 
Author index
To appear
 
Other MSP journals
Nonlocal damage accumulation and fluid flow in diatomites

Grigory Isaakovich Barenblatt, Michiel Bertsch and Carlo Nitsch
Vol. 1 (2006), No. 1, 143–168
DOI: 10.2140/camcos.2006.1.143
Abstract

We investigate a new model for fluid flows in diatomite formations recently introduced by Barenblatt, Patzek, Prostokishin and Silin. We provide numerical evidences of the existence of a sharp front between the damaged and the undamaged rock, and we study the structure of this front. Finally, we simulate some infield operations and we set up a qualitative model control problem to maximize the profit during the oil extraction.

Keywords
flow in porous media, oil engineering, continuum damage mechanics, degenerate parabolic system
Mathematical Subject Classification 2000
Primary: 76S05
Secondary: 74A45, 35K65
Milestones
Received: 28 September 2005
Accepted: 19 April 2006
Published: 9 May 2007
Authors
Grigory Isaakovich Barenblatt
Department of Mathematics
University of California
Berkeley CA 94720		 Lawrence Berkeley National Laboratory
1 Cyclotron Road
Mail Stop 50A/1148
Berkeley, CA 94720
United States
http://math.lbl.gov/barenblatt/barenblatt.html
Michiel Bertsch
Istituto per le Applicazioni del Calcolo “Mauro Picone”
Consiglio Nazionale delle Ricerche
Viale del Policlinico, 137
I-00161 Roma
Italy		 Dipartimento di Matematica
Universitá degli Studi di Roma “Tor Vergata”
Via della Ricerca Scientifica
I-00133 Roma
Italy
Carlo Nitsch
Dipartimento di Matematica e Applicazioni “R. Caccioppoli”
Universitá degli Studi di Napoli “Federico II”
Via Cintia, Monte S. Angelo
I-80126 Napoli
Italy
http://wpage.unina.it/c.nitsch/