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ISSN 0040-5795, Theoretical Foundations of Chemical Engineering, 2019, Vol. 53, No. 1, pp. 21–28. © Pleiades Publishing, Ltd., 2019.
Russian Text © A.M. Toikka, A.A. Samarov, M. Farzaneh-Gord, I.A. Zvereva, 2019, published in Teoreticheskie Osnovy Khimicheskoi Tekhnologii, 2019, Vol. 53, No. 1, pp. 23–30.
On Calculation of Some Properties of Natural Gas Using a Limited
Number of Experimental Parameters
A. M. Toikka
a,
*, A. A. Samarov
a
, M. Farzaneh-Gord
b
, and I. A. Zvereva
a
a
Saint Petersburg State University, St. Petersburg, 199034 Russia
b
Shahrood University of Technology, Shahrood, 3619995161 Iran
*e-mail: a.toikka@spbu.ru
Received January 31, 2018; revised July 12, 2018; accepted September 27, 2018
Abstract—Some calculation aspects of natural gas properties based on limited numbers of initial experimental
parameters, namely temperature, pressure, and speed of sound, were considered. The application possibilities
for a wide range of compositions, temperatures, and gas mixtures pressure, simulating natural gases of various
fields using the previously proposed Farzaneh-Gord method were discussed. It has been shown, that this
method, in reality, yields fairly accurate results, calculating molecular weight of natural gas and its density.
We note that good calculation results of mass flow rate make it possible to recommend this method for prac-
tical express calculations.
Keywords: thermodynamic properties, equation of state, natural gas, density
DOI: 10.1134/S0040579519010159
INTRODUCTION
Determination of the thermodynamic properties of
natural gas is significant to studying properties in a
wide range of temperatures, pressures, and the content
of the main components and impurities. Nevertheless,
these problems, from a formal point of view, are not
new and, the values of basic thermodynamic proper-
ties can be determined by traditional methods under
laboratory conditions. More complex aspects of deter-
mining the basic thermodynamic parameters are
related to the actual conditions of gas transportation:
first of all, in gas pipelines, when significant pressure
drops, their values do not simply associate the values
of volumetric flows with its quantity due to nonideal-
ity of gas, temperature effects, and in the course of
necessary instantaneous measurements. Practical
solutions are reduced to the simultaneous determina-
tion of the velocity and density at gas distribution sta-
tions. Measurement of gas flow by means of, for exam-
ple, turbine or ultrasonic meters, does not provide a
sufficiently accurate amount of gas consumption due
to changes in its composition (molecular weight),
density, temperature dependence, or pressure. More-
over, at gas distribution stations, with sufficiently
intensive use of this equipment, we must continuously
check the calibration of measuring instruments, not to
mention their relative fragility in actual operating con-
ditions. In this regard, works continue on the search
for new approaches to measure the properties of natu-
ral gas, which would, first of all, increase the accuracy
of determining its density, preferably based on stable,
easily determined parameters and minimum of mea-
surements [1].Such traditional analytical methods as
gas chromatography make it possible to determine the
composition of gas and liquid mixtures with high
accuracy, but their inclusion in the systems of gas dis-
tribution stations seems to be an expensive and irratio-
nal element under high flow conditions.
The development of thermodynamic simulation
methods has identified new opportunities to optimize
the determination of gas flow rate in the stream. Nev-
ertheless, in earlier works, for example, to calculate the
true flow, they also resorted to a rather incorrect
assumption about the ideality of the gas mixture. More
productive was the search and application to describe
the behavior of natural gas by more universal equa-
tions of state, allowing to characterize the set of ther-
modynamic (and thermophysical) properties. Along
with the classical Peng–Robinson equations [2],
equations were proposed directly for the description of
gases and gas mixtures. First of all, we must note the
equation of state AGA8-92DC [3], adopted as an
American Gas Association standard. The same equa-
tion of state (EOS) was recommended by the National
Standard of the Russian Federation [4]. Despite the
emergence in the future of other EOS, first GERG-2008
[5], also adopted by the State Standards of the Russian
Federation [6], the AGA8 EOS remains a sufficiently
reliable criterion for solving problems associated with