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.
Citation
Grigory Barenblatt. Michiel Bertsch. Carlo Nitsch. "Nonlocal damage accumulation and fluid flow in diatomites." Commun. Appl. Math. Comput. Sci. 1 (1) 143 - 168, 2006. https://doi.org/10.2140/camcos.2006.1.143
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