2017
DOI: 10.1134/s002189441705011x
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A new algorithm of mass flow rate determination in gas production and transportation systems via pressure measurement

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Cited by 6 publications
(13 citation statements)
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“…The formation and deposition of hydrates in pipelines is studied using quasi-stationary mathematical model [1][2][3][4][5][6][7][8]. In this model imperfect gas flow in pipes is described in the frame work of tube hydraulic and dynamics of hydrate formationin the frame work of the generalized Stefan problem in which temperature of gas-hydrate phase transition depends on gas flow pressure.…”
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confidence: 99%
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“…The formation and deposition of hydrates in pipelines is studied using quasi-stationary mathematical model [1][2][3][4][5][6][7][8]. In this model imperfect gas flow in pipes is described in the frame work of tube hydraulic and dynamics of hydrate formationin the frame work of the generalized Stefan problem in which temperature of gas-hydrate phase transition depends on gas flow pressure.…”
mentioning
confidence: 99%
“…In addition to the phenomenological constants, the model includes technological parameters, for example, mass flow rate of gas which is constant at stationary flow, that can also be determined from these measurements. This inverse problem of determining the coefficients of differential equations via some additional information about behavior of the solution is the subject of this paper, where upon the algorithms of determining the parameters of ordinary differential equations created in [8,10,11] are generalized for the hydrate formation model proposed in [1][2][3][4][5][6][7][8]. An essential feature of this model is the determination of pipe cross-section that changes with time along with the calculation of gas temperature and pressure distribution via solving the Cauchy problem for equation which describes how dimensionless cross-section S changes over time:…”
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confidence: 99%
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