An accurate correlation for calculating natural gas compressibility factors under a wide range of pressure conditions
The natural gas compressibility factor is a vital parameter in petroleum engineering calculation. Currently, the calculation models for calculating natural gas compressibility factors in engineering are not accurate and efficient enough. To solve this problem, multivariate nonlinear regression is us...
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2022
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oai:doaj.org-article:0ff840669975404ba950492220f486482021-12-04T04:34:49ZAn accurate correlation for calculating natural gas compressibility factors under a wide range of pressure conditions2352-484710.1016/j.egyr.2021.11.029https://doaj.org/article/0ff840669975404ba950492220f486482022-05-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2352484721011744https://doaj.org/toc/2352-4847The natural gas compressibility factor is a vital parameter in petroleum engineering calculation. Currently, the calculation models for calculating natural gas compressibility factors in engineering are not accurate and efficient enough. To solve this problem, multivariate nonlinear regression is used to fit the 6988 data of the Standing–Katz chart, a novel empirical formula of natural gas compressibility factors is obtained, which is suitable for the pseudo-reduced pressure range of 0.2 to 30. The mean absolute error, mean relative error and root mean square error between the fitted values and the Standing–Katz chart values are 0.01140, 0.01282 and 0.01663 respectively, hence the fitted values accord well with the chart values. The proposed correlation is verified by 270 measured data of natural gas compressibility factors under low and medium pressure conditions and 219 measured data under high pressure conditions and compared with the other five representative calculation models. The verification result shows that the mean absolute error, mean relative error and root mean square error between the calculated values and the measured values are 0.01962, 0.01626 and 0.02511 respectively, and the proposed correlation is superior to the other five methods because of its higher calculation accuracy. The new correlation is practical and accurate for predicting the natural gas compressibility factor under an extensive range of pressure conditions.Yichen WangJigen YeShuhong WuElsevierarticleNatural gasEmpirical correlationCompressibility factorStanding–Katz chartMultivariate nonlinear regressionElectrical engineering. Electronics. Nuclear engineeringTK1-9971ENEnergy Reports, Vol 8, Iss , Pp 130-137 (2022) |
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Natural gas Empirical correlation Compressibility factor Standing–Katz chart Multivariate nonlinear regression Electrical engineering. Electronics. Nuclear engineering TK1-9971 |
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Natural gas Empirical correlation Compressibility factor Standing–Katz chart Multivariate nonlinear regression Electrical engineering. Electronics. Nuclear engineering TK1-9971 Yichen Wang Jigen Ye Shuhong Wu An accurate correlation for calculating natural gas compressibility factors under a wide range of pressure conditions |
description |
The natural gas compressibility factor is a vital parameter in petroleum engineering calculation. Currently, the calculation models for calculating natural gas compressibility factors in engineering are not accurate and efficient enough. To solve this problem, multivariate nonlinear regression is used to fit the 6988 data of the Standing–Katz chart, a novel empirical formula of natural gas compressibility factors is obtained, which is suitable for the pseudo-reduced pressure range of 0.2 to 30. The mean absolute error, mean relative error and root mean square error between the fitted values and the Standing–Katz chart values are 0.01140, 0.01282 and 0.01663 respectively, hence the fitted values accord well with the chart values. The proposed correlation is verified by 270 measured data of natural gas compressibility factors under low and medium pressure conditions and 219 measured data under high pressure conditions and compared with the other five representative calculation models. The verification result shows that the mean absolute error, mean relative error and root mean square error between the calculated values and the measured values are 0.01962, 0.01626 and 0.02511 respectively, and the proposed correlation is superior to the other five methods because of its higher calculation accuracy. The new correlation is practical and accurate for predicting the natural gas compressibility factor under an extensive range of pressure conditions. |
format |
article |
author |
Yichen Wang Jigen Ye Shuhong Wu |
author_facet |
Yichen Wang Jigen Ye Shuhong Wu |
author_sort |
Yichen Wang |
title |
An accurate correlation for calculating natural gas compressibility factors under a wide range of pressure conditions |
title_short |
An accurate correlation for calculating natural gas compressibility factors under a wide range of pressure conditions |
title_full |
An accurate correlation for calculating natural gas compressibility factors under a wide range of pressure conditions |
title_fullStr |
An accurate correlation for calculating natural gas compressibility factors under a wide range of pressure conditions |
title_full_unstemmed |
An accurate correlation for calculating natural gas compressibility factors under a wide range of pressure conditions |
title_sort |
accurate correlation for calculating natural gas compressibility factors under a wide range of pressure conditions |
publisher |
Elsevier |
publishDate |
2022 |
url |
https://doaj.org/article/0ff840669975404ba950492220f48648 |
work_keys_str_mv |
AT yichenwang anaccuratecorrelationforcalculatingnaturalgascompressibilityfactorsunderawiderangeofpressureconditions AT jigenye anaccuratecorrelationforcalculatingnaturalgascompressibilityfactorsunderawiderangeofpressureconditions AT shuhongwu anaccuratecorrelationforcalculatingnaturalgascompressibilityfactorsunderawiderangeofpressureconditions AT yichenwang accuratecorrelationforcalculatingnaturalgascompressibilityfactorsunderawiderangeofpressureconditions AT jigenye accuratecorrelationforcalculatingnaturalgascompressibilityfactorsunderawiderangeofpressureconditions AT shuhongwu accuratecorrelationforcalculatingnaturalgascompressibilityfactorsunderawiderangeofpressureconditions |
_version_ |
1718372952461803520 |