Numerical algorithm for solving the problem of one-dimensional radial nonisothermic gas filtration

Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy


2015, Vol. 1. №4(4)

Numerical algorithm for solving the problem of one-dimensional radial nonisothermic gas filtration

About the author:

Stanislav L. Borodin, Cand. Sci. (Phys.-Math.), Researcher, Tyumen Branch of the Khristianovich Institute of Theoretical and Applied Mechanics of the Siberian Branch of the Russian Academy of Sciences;


When natural gas production, the formation of gas hydrate in the well bottom zone due to the reduction of temperature is possible, especially in the cases, when the reservoir thermobaric conditions initially close to the formation conditions of the hydrate of reservoir gas. For numerical experiments to assess this phenomenon the mathematical model of the one-dimensional radial nonisothermic gas filtration is constructed in this work. For the numerical implementation of the model an algorithm, which is based on an implicit difference scheme, sweep method and the method of simple iterations, is suggested. The computer code to calculate the distribution of different filtration flow parameters for gas production in different reservoir and operating conditions is written.  The time and accuracy of calculations depending on the time step are estimated.


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