Geodesic
Method for determining the mass flow for pressure measurements of gas hydrates formation in the well
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 14 (2021) no. 2, pp. 193-203

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The work focuses on the inverse problem of determining differential equation coefficients for additional information on the behavior of solution. Furthermore, the algorithm for determining parameters of systems of ordinary differential equations on the basis of stomatal pressure measurements is generalized for the model of hydrate formation when the internal well section of changes with time and also has to be determined during the solution of the general problem. The computational experiment has been conducted for wells of Otradninsky gas condensate deposits of the Republic Sakha (Yakutia), the exploitation of which indicates that the complications are most likely caused by formation of gas hydrates both in the bottom-hole and in the well and its plumes. It has been established that the most important influence on the dynamics of hydrate plugs formation in wells is the gas production mode, its equation of state, reservoir and geocryological conditions. Time dependency of mass flow has been determined, which knowledge will make it possible to control the change of flow area of the entire well and, if necessary, to prevent and remove formation of natural gas hydrates.
Keywords: conjugated problems of heat exchange, production and transport of natural gas, natural gas hydrates, mathematical modeling. 
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     author = {Natalya N. Borisova and Igor I. Rozhin},
     title = {Method for determining the mass flow for pressure measurements of gas hydrates formation in the well},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {193--203},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2021_14_2_a6/}
}
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Natalya N. Borisova; Igor I. Rozhin. Method for determining the mass flow for pressure measurements of gas hydrates formation in the well. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 14 (2021) no. 2, pp. 193-203. http://geodesic.mathdoc.fr/item/JSFU_2021_14_2_a6/