English

On displacement of viscous liquid in a system of parallel tubes

Classical Analysis and ODEs 2018-05-18 v1

Abstract

An explicitly solvable quasi 1D model of oil displacement is studied. The problem of recovering of the reservoir geometry is solved by means of a fixed point algorithm. The stability of solution is studied in various functional classes.

Keywords

Cite

@article{arxiv.1805.06518,
  title  = {On displacement of viscous liquid in a system of parallel tubes},
  author = {Grigorii V. Monakov and Sergey B. Tikhomirov and Andrey A. Yakovlev},
  journal= {arXiv preprint arXiv:1805.06518},
  year   = {2018}
}