MATHEMATICAL MODEL OF FLUID FLOW TO THE WELL USING FRACTIONAL DERIVATIVES
MATHEMATICAL MODEL OF FLUID FLOW TO THE WELL USING FRACTIONAL DERIVATIVES

MATHEMATICAL MODEL OF FLUID FLOW TO THE WELL USING FRACTIONAL DERIVATIVES

DOI: 10.37153/2618-9283-2020-4-84-92

Authors:  

Хворова Алла Николаевна Alla N. Khvorova

Engineer of TSNIISK named after V. A. Koucherenko JSC RCC. Moscow, Russian Federation

 



Rubric:     Theoretical and experimental studies   
Key words: fractional differential equation, numerical method, Cauchy problem
Annotation:

The article considers the initial Cauchy problem for a fractional differential equation with a variable coefficient and its numerical solution is applicable in the problem of developing an oil well to determine the pressure change with increasing distance from the well. The parameter of the proposed mathematical model for a specific well was identified based on experimental data. The parameter of the mathematical model was determined by solving the problem of approximating empirical data using the least squares method.

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