Traveling wave solutions of a nonlinear degenerate parabolic system from petroleum engineering | Zendy

Michiel Bertsch | Zendy; Carlo Nitsch | Zendy

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Traveling wave solutions of a nonlinear degenerate parabolic system from petroleum engineering

Author(s) -

Michiel Bertsch,

Carlo Nitsch

Publication year - 2008

Publication title -

interfaces and free boundaries mathematical analysis computation and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.964

H-Index - 39

eISSN - 1463-9971

pISSN - 1463-9963

DOI - 10.4171/ifb/194

Subject(s) - degenerate energy levels , nonlinear system , traveling wave , petroleum , petroleum engineering , engineering , mathematics , physics , mathematical analysis , geology , quantum mechanics , paleontology

We study existence and qualitative properties of traveling wave solutions of a new free boundary problem which describes fluid flow in diatomite rocks. Diatomites are rather fragile and are characterized by low permeability, which can increase due to the nonlocal accumulation of damage caused by the fluid flow. The traveling wave solutions give insight into the behavior near the free boundaries and show a strong parameter dependence. In particular, we find in certain parameter ranges solutions with discontinuities across the free boundaries.

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