Qualitative Analysis of Quadratic Polynomial Dynamical Systems Associated with the Modeling and Monitoring of Oil Fields

被引：10

作者：

Shakhverdiev, A. Kh. ^{[1
]}

Shestopalov, Yu. V. ^{[2
]}

机构：

[1] Russian State Geol Prospecting Univ, Moscow 117997, Russia

[2] Univ Gavle, Acad Technol & Environm, SE-80176 Gavle, Sweden

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2019年 / 40卷 / 10期

关键词：

polynomial quadratic dynamical system; qualitative theory; autonomous equation; singularities; qualitative analysis;

D O I：

10.1134/S1995080219100226

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：1695 / 1710

页数：16

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