A paper about the slope of the equilibrium line

Taylor, Ross; Duss, Markus

doi:10.1016/j.cherd.2019.05.060

Cited by 4 publications

(6 citation statements)

References 2 publications

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“…The slope of the VLE surface in the primary direction taken by the design component is given approximately by where m α,D is the slope for systems where the relative volatilities are assumed constant and where Δ m D is a correction for composition dependent relative volatilities. These two terms are defined by A complete derivation of these results is provided by Taylor and Duss, who showed that the approximation (eq ) often is extremely close to the result obtained from the rigorous flash calculation. Errors introduced by the approximation are generally much less than the uncertainty in any of the widely used efficiency estimation methods.…”

Section: Design Component Conceptmentioning

confidence: 62%

“…Thus, extracting reasonable estimates of the slope from such packages is not simple. Taylor and Duss derived two analytical approximations that are easily programmed in a spreadsheet and are capable of good to excellent estimations of the design component slope while requiring no more information than is routinely available from any flowsheet simulation package.…”

Section: Design Component Conceptmentioning

confidence: 99%

“…Figures and and the results in the Supporting Information serve to expand the body of evidence that supports our contention that the simple approximation of the slope of the equilibrium line, eq , is generally adequate. Our prior work includes several examples where the relative volatility is far from constant. However, even for such cases, the simpler formula is generally within a few percent of the more involved approximate method, eqs –, and is not always worse.…”

Section: Application: a Natural Gas Trainmentioning

confidence: 99%

“…The stripping factor requires the slope of the equilibrium line, which is problematic for multicomponent systems. Taylor and Duss proposed a new way to estimate the slope on the basis of the concept of the design component . That component is defined as that which is to be eliminated from the mixture in a particular section of the column.…”

Section: Final Perspective and Conclusionmentioning

confidence: 99%

See 3 more Smart Citations

110th Anniversary: Column Efficiency: From Conception, through Complexity, to Simplicity

Taylor

Duss

2019

Ind. Eng. Chem. Res.

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Section: Design Component Conceptmentioning

confidence: 62%

Section: Design Component Conceptmentioning

confidence: 99%

Section: Application: a Natural Gas Trainmentioning

confidence: 99%

Section: Final Perspective and Conclusionmentioning

confidence: 99%

See 2 more Smart Citations

110th Anniversary: Column Efficiency: From Conception, through Complexity, to Simplicity

Taylor

Duss

2019

Ind. Eng. Chem. Res.

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“…When the slope (k) is positive, a greater value indicates a more rapid increase. When k is negative, a smaller value indicates a more rapid decrease [50,51]. The slope of the curve for increased hydrocarbon yield (k n ) was equal to (Yield n+1 −Yield n )/(Ro n+1 −Ro n ), as shown in Table 2.…”

Section: Division Of Thermal Evolution Stages Based On the Pyrolysis ...mentioning

confidence: 91%

Evidence from the Changing Carbon Isotopic of Kerogen, Oil, and Gas during Hydrous Pyrolysis from Pinghu Formation, the Xihu Sag, East China Sea Basin

Cao

et al. 2021

Energies

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Semi-open hydrous pyrolysis experiments on coal-measure source rocks in the Xihu Sag were conducted to investigate the carbon isotope evolution of kerogen, bitumen, generated expelled oil, and gases with increasing thermal maturity. Seven corresponding experiments were conducted at 335 °C, 360 °C, 400 °C, 455 °C, 480 °C, 525 °C, and 575 °C, while other experimental factors, such as the heating time and rate, lithostatic and hydrodynamic pressures, and columnar original samples were kept the same. The results show that the simulated temperatures were positive for the measured vitrinite reflectance (Ro), with a correlation coefficient (R2) of 0.9861. With increasing temperatures, lower maturity, maturity, higher maturity, and post-maturity stages occurred at simulated temperatures (Ts) of 335–360 °C, 360–400 °C, 400–480 °C, and 480–575 °C, respectively. The increasing gas hydrocarbons with increasing temperature reflected the higher gas potential. Moreover, the carbon isotopes of kerogen, bitumen, expelled oil, and gases were associated with increased temperatures; among gases, methane was the most sensitive to maturity. Ignoring the intermediate reaction process, the thermal evolution process can be summarized as kerogen0(original) + bitumen0(original)→kerogenr (residual kerogen) + expelled oil (generated) + bitumenn+r (generated + residual) + C2+(generated + residual) + CH4(generated). Among these, bitumen, expelled oil, and C2-5 acted as reactants and products, whereas kerogen and methane were the reactants and products, respectively. Furthermore, the order of the carbon isotopes during the thermal evolution process was identified as: δ13C1 < 13C2-5 < δ13Cexpelled oil < δ13Cbitumen < δ13Ckerogen. Thus, the reaction and production mechanisms of carbon isotopes can be obtained based on their changing degree and yields in kerogen, bitumen, expelled oil, and gases. Furthermore, combining the analysis of the geochemical characteristics of the Pinghu Formation coal–oil-type gas in actual strata with these pyrolysis experiments, it was identified that this area also had substantial development potential. Therefore, this study provides theoretical support and guidance for the formation mechanism and exploration of oil and gas based on changing carbon isotopes.

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Evolution mechanism of Pinghu Formation coal-measure source rock from the Xihu Sag, East China Sea basin: Evidence from carbon isotopic evolution of kerogen, oil, and gas during hydrous pyrolysis

Cao

Ye²,

et al. 2021

Preprint

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A paper about the slope of the equilibrium line

Cited by 4 publications

References 2 publications

110th Anniversary: Column Efficiency: From Conception, through Complexity, to Simplicity

110th Anniversary: Column Efficiency: From Conception, through Complexity, to Simplicity

Evidence from the Changing Carbon Isotopic of Kerogen, Oil, and Gas during Hydrous Pyrolysis from Pinghu Formation, the Xihu Sag, East China Sea Basin

Evolution mechanism of Pinghu Formation coal-measure source rock from the Xihu Sag, East China Sea basin: Evidence from carbon isotopic evolution of kerogen, oil, and gas during hydrous pyrolysis

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