Communications in Applied Mathematics and Computational Science
- Commun. Appl. Math. Comput. Sci.
- Volume 1, Number 1 (2006), 143-168.
Nonlocal damage accumulation and fluid flow in diatomites
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.
Commun. Appl. Math. Comput. Sci., Volume 1, Number 1 (2006), 143-168.
Received: 28 September 2005
Accepted: 19 April 2006
First available in Project Euclid: 20 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Barenblatt, Grigory; Bertsch, Michiel; Nitsch, Carlo. Nonlocal damage accumulation and fluid flow in diatomites. Commun. Appl. Math. Comput. Sci. 1 (2006), no. 1, 143--168. doi:10.2140/camcos.2006.1.143. https://projecteuclid.org/euclid.camcos/1513798508