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 STYLE
Barenblatt, G. I., Bertsch, M., & Nitsch, C. (2006). Nonlocal damage accumulation and fluid flow in diatomites. Communications in Applied Mathematics and Computational Science, 1(1), 143–168. https://doi.org/10.2140/camcos.2006.1.143
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