Qualitative Analysis of Quadratic Polynomial Dynamical Systems Associated with the Modeling and Monitoring of Oil Fields
- Authors: Shakhverdiev A.K.1, Shestopalov Y.V.2
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Affiliations:
- Russian State Geological Prospecting University
- Academy of Technology and Environment
- Issue: Vol 40, No 10 (2019)
- Pages: 1695-1710
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205962
- DOI: https://doi.org/10.1134/S1995080219100226
- ID: 205962
Cite item
Abstract
The behavior and properties of solutions of two-dimensional quadratic polynomial dynamical system on the phase plane of variables and time are considered. A complete qualitative theory is constructed which includes the analysis of all singular points and the features of solutions depending on all parameters of the problem. A main result is that, with the discriminant criteria created on the basis of the growth model constructed in the present study, it is possible to formulate practical recommendations for regulating and monitoring the process of waterflooding and the development of an oil field.
About the authors
A. Kh. Shakhverdiev
Russian State Geological Prospecting University
Email: shestop@hotmail.com
Russian Federation, Moscow, 117997
Yu. V. Shestopalov
Academy of Technology and Environment
Author for correspondence.
Email: shestop@hotmail.com
Sweden, Gävle, SE-801 76