{"id":205,"date":"2008-10-01T20:25:56","date_gmt":"2008-10-02T01:25:56","guid":{"rendered":"http:\/\/www.jmcampbell.com\/tip-of-the-month\/?p=205"},"modified":"2011-06-02T09:09:20","modified_gmt":"2011-06-02T14:09:20","slug":"how-good-are-the-detailed-methods-for-sour-gas-density-calculations","status":"publish","type":"post","link":"http:\/\/www.jmcampbell.com\/tip-of-the-month\/2008\/10\/how-good-are-the-detailed-methods-for-sour-gas-density-calculations\/","title":{"rendered":"How good are the detailed methods for sour gas density calculations?"},"content":{"rendered":"<p>Gas density estimates are of fundamental importance for process simulation, equipment design, and process safety engineering.\u00a0 In the previous Tip of the Month (TOTM), two shortcut methods for predicting sour and acid gas density were evaluated.\u00a0 We showed that Katz correlation gives accurate results for lean sweet gases and it is the most accurate in comparison to Wichert-Aziz method or the SRK EOS. For binary mixtures of CH<sub>4<\/sub> and CO<sub>2<\/sub>, Wichert-Aziz method gives the most accurate result for CO<sub>2<\/sub> content of between 10 and 90 mole percent. As H<sub>2<\/sub>S and CO<sub>2<\/sub> content increased, the accuracy of the Katz correlation decreased, but its accuracy increased as the mixture approached a single component. The percentage difference between the Katz and Wichert-Aziz [1] methods for gas mixtures containing acid gases was greater for H<sub>2<\/sub>S than CO<sub>2<\/sub>.<\/p>\n<p>Process simulation software often use the Benedict-Webb-Rubin-Starling (BWRS), Soave-Redlich-Kwong (SRK) and\/or Peng-Robinson (PR) equations of state for gas density calculations. Other sources of gas density calculation are NIST REFPROP (Reference Fluid Thermodynamic and Transport Properties) program and GERG-2004 [2, 3], a reference equation of state for natural gases.<\/p>\n<p>Due to the importance of CO<sub>2<\/sub> injection for enhanced oil recovery and the increasing interest in CO<sub>2<\/sub> capture and sequestration, this study was undertaken to evaluate the accuracy of density calculations for gases containing nil to 100% CO<sub>2<\/sub>. An experimental data base was used for the basis of comparison. The study reviews all of the above mentioned methods and will report their accuracies. Table 1 presents the summary of the temperature, pressure, and CO<sub>2<\/sub> mole percent ranges for the data used in this study. The sources of experimental data were reference [4, 5]. This table also presents the average absolute average percent error and the overall average percent error.<\/p>\n<p>Table1 \u2013 Summary of error analysis and comparison of accuracy of sour gas and acid gas density prediction by several methods:<\/p>\n<div><a href=\"https:\/\/i0.wp.com\/www.jmcampbell.com\/tip-of-the-month\/wp-content\/uploads\/2011\/03\/15.jpg\"><img data-recalc-dims=\"1\" decoding=\"async\" loading=\"lazy\" class=\"aligncenter size-full wp-image-206\" title=\"1\" src=\"https:\/\/i0.wp.com\/www.jmcampbell.com\/tip-of-the-month\/wp-content\/uploads\/2011\/03\/15.jpg?resize=480%2C297\" alt=\"Table 1\" width=\"480\" height=\"297\" srcset=\"https:\/\/i0.wp.com\/www.jmcampbell.com\/tip-of-the-month\/wp-content\/uploads\/2011\/03\/15.jpg?w=480 480w, https:\/\/i0.wp.com\/www.jmcampbell.com\/tip-of-the-month\/wp-content\/uploads\/2011\/03\/15.jpg?resize=300%2C185 300w\" sizes=\"auto, (max-width: 480px) 100vw, 480px\" \/><\/a><\/div>\n<p>Table 1 provides the overall accuracy of the various methods.\u00a0 It should be noted that the relative accuracy of each method varies depending on the CO<sub>2<\/sub>-CH<sub>4<\/sub> proportion, the temperature and pressure.\u00a0 The AGA 8 did not return values for many of the low temperature cases where two phases were present.\u00a0 These points were ignored in the analysis.<\/p>\n<p>Next, we plotted the experimental data reported in the GPA RR-138 [3] and GPA RR 68 [4] to evaluate the accuracy of Katz, Wichert-Aziz and the best four of the detailed methods. The results of this evaluation for the T=350\u00b0K and 320\u00b0K cases are shown in Figures 1 through 5, for CO2 content of 9.83 to 100 mole percent.\u00a0 In Figure 1, Katz method is the most accurate and the accuracy of the other methods are almost the same.<\/p>\n<div><a href=\"https:\/\/i0.wp.com\/www.jmcampbell.com\/tip-of-the-month\/wp-content\/uploads\/2011\/03\/25.jpg\"><img data-recalc-dims=\"1\" decoding=\"async\" loading=\"lazy\" class=\"aligncenter size-full wp-image-207\" title=\"2\" src=\"https:\/\/i0.wp.com\/www.jmcampbell.com\/tip-of-the-month\/wp-content\/uploads\/2011\/03\/25.jpg?resize=425%2C271\" alt=\"Figure 1\" width=\"425\" height=\"271\" srcset=\"https:\/\/i0.wp.com\/www.jmcampbell.com\/tip-of-the-month\/wp-content\/uploads\/2011\/03\/25.jpg?w=425 425w, https:\/\/i0.wp.com\/www.jmcampbell.com\/tip-of-the-month\/wp-content\/uploads\/2011\/03\/25.jpg?resize=300%2C191 300w\" sizes=\"auto, (max-width: 425px) 100vw, 425px\" \/><\/a><\/div>\n<p>In Figure 2, Katz method has the least accuracy and even though the accuracy of the other methods look the same, GERG 2004 is slightly better than the others.<\/p>\n<div><a href=\"https:\/\/i0.wp.com\/www.jmcampbell.com\/tip-of-the-month\/wp-content\/uploads\/2011\/03\/35.jpg\"><img data-recalc-dims=\"1\" decoding=\"async\" loading=\"lazy\" class=\"aligncenter size-full wp-image-208\" title=\"3\" src=\"https:\/\/i0.wp.com\/www.jmcampbell.com\/tip-of-the-month\/wp-content\/uploads\/2011\/03\/35.jpg?resize=433%2C284\" alt=\"Figure 2\" width=\"433\" height=\"284\" srcset=\"https:\/\/i0.wp.com\/www.jmcampbell.com\/tip-of-the-month\/wp-content\/uploads\/2011\/03\/35.jpg?w=433 433w, https:\/\/i0.wp.com\/www.jmcampbell.com\/tip-of-the-month\/wp-content\/uploads\/2011\/03\/35.jpg?resize=300%2C196 300w\" sizes=\"auto, (max-width: 433px) 100vw, 433px\" \/><\/a><\/div>\n<p>In Figure 3, Katz method again has the least accuracy and even though the accuracy of the other methods look the same, AGA8 provided slightly better estimates than the others.<\/p>\n<div><a href=\"https:\/\/i0.wp.com\/www.jmcampbell.com\/tip-of-the-month\/wp-content\/uploads\/2011\/03\/45.jpg\"><img data-recalc-dims=\"1\" decoding=\"async\" loading=\"lazy\" class=\"aligncenter size-full wp-image-209\" title=\"4\" src=\"https:\/\/i0.wp.com\/www.jmcampbell.com\/tip-of-the-month\/wp-content\/uploads\/2011\/03\/45.jpg?resize=480%2C277\" alt=\"Figure 3\" width=\"480\" height=\"277\" srcset=\"https:\/\/i0.wp.com\/www.jmcampbell.com\/tip-of-the-month\/wp-content\/uploads\/2011\/03\/45.jpg?w=480 480w, https:\/\/i0.wp.com\/www.jmcampbell.com\/tip-of-the-month\/wp-content\/uploads\/2011\/03\/45.jpg?resize=300%2C173 300w\" sizes=\"auto, (max-width: 480px) 100vw, 480px\" \/><\/a><\/div>\n<p>In Figure 4, Wichert-Aziz method has the least accuracy and even though the accuracies of the other methods look the same, AGA8, GERG-2004 and REFPROP are slightly more accurate than the PR EOS.<\/p>\n<div><a href=\"https:\/\/i0.wp.com\/www.jmcampbell.com\/tip-of-the-month\/wp-content\/uploads\/2011\/03\/54.jpg\"><img data-recalc-dims=\"1\" decoding=\"async\" loading=\"lazy\" class=\"aligncenter size-full wp-image-210\" title=\"5\" src=\"https:\/\/i0.wp.com\/www.jmcampbell.com\/tip-of-the-month\/wp-content\/uploads\/2011\/03\/54.jpg?resize=480%2C280\" alt=\"Figure 4\" width=\"480\" height=\"280\" srcset=\"https:\/\/i0.wp.com\/www.jmcampbell.com\/tip-of-the-month\/wp-content\/uploads\/2011\/03\/54.jpg?w=480 480w, https:\/\/i0.wp.com\/www.jmcampbell.com\/tip-of-the-month\/wp-content\/uploads\/2011\/03\/54.jpg?resize=300%2C175 300w\" sizes=\"auto, (max-width: 480px) 100vw, 480px\" \/><\/a><\/div>\n<p>In Figure 5, Wichert-Aziz method has the least accuracy and REFPROP, GERG 2004 and AGA 8 equally have the best accuracy.<\/p>\n<div><a href=\"https:\/\/i0.wp.com\/www.jmcampbell.com\/tip-of-the-month\/wp-content\/uploads\/2011\/03\/63.jpg\"><img data-recalc-dims=\"1\" decoding=\"async\" loading=\"lazy\" class=\"aligncenter size-full wp-image-211\" title=\"6\" src=\"https:\/\/i0.wp.com\/www.jmcampbell.com\/tip-of-the-month\/wp-content\/uploads\/2011\/03\/63.jpg?resize=480%2C282\" alt=\"Figure 5\" width=\"480\" height=\"282\" srcset=\"https:\/\/i0.wp.com\/www.jmcampbell.com\/tip-of-the-month\/wp-content\/uploads\/2011\/03\/63.jpg?w=480 480w, https:\/\/i0.wp.com\/www.jmcampbell.com\/tip-of-the-month\/wp-content\/uploads\/2011\/03\/63.jpg?resize=300%2C176 300w\" sizes=\"auto, (max-width: 480px) 100vw, 480px\" \/><\/a><\/div>\n<p>Based on the work done in this study and in the previous TOTM, the following can be concluded:<\/p>\n<ol>\n<li>Katz correlation gives accurate results for pipeline quality gases (lean sweet gases)<\/li>\n<li>For pure CO<sub>2<\/sub>, AGA 8, REFPROP, and GERG 2004 methods equally are the most accurate method<\/li>\n<li>For binary mixtures of CH<sub>4<\/sub> and CO<sub>2<\/sub>, REFPROP and GERG 2004 methods equally give the most accurate result for CO<sub>2<\/sub> content of between 10 and 90 mole percent.<\/li>\n<li>As CO<sub>2<\/sub> content increases, the accuracy of the Katz correlation decreases, but its accuracy increases as the mixture approaches a single (pure) component.<\/li>\n<li>The Peng-Robinson EOS provides a better density estimate than the SRK EOS.<\/li>\n<li>Results from either the PR or the SRK EOS in ProMax are slightly more accurate than the comparable results from HYSYS.<\/li>\n<li>Binary interaction parameters which have been optimized to predict VLE behavior may not provide the best density prediction.<\/li>\n<li>At several low temperatures, AGA8 did not provide density estimates.\u00a0 The average errors reported here ignored these missing data.\u00a0 Note that AGA8 is not valid for liquid nor for the extended region near the critical point.<\/li>\n<li>Table 1 indicates that REFPROP and GERG 2004 give equally the best results.<\/li>\n<\/ol>\n<p>To learn more about similar cases and how to minimize operational problems, we suggest attending our\u00a0<a href=\"http:\/\/www.jmcampbell.com\/gas-conditioning-and-processing-g4.php\">G4 (Gas Conditioning and Processing)<\/a>,\u00a0<a href=\"http:\/\/www.jmcampbell.com\/gas-conditioning-and-processing-special.php\">G5 (Gas Conditioning and Processing &#8211; Special)<\/a>,\u00a0<a href=\"http:\/\/www.jmcampbell.com\/gas-treating-and-sulfur-recovery-g6.php\">G6 (Gas Treating and Sulfur Recovery)<\/a>,\u00a0<a href=\"http:\/\/www.jmcampbell.com\/refinery-gas-treating-sour-water-sulfur-and-tail-gas-rf61.php\">RF61 (RefineryGas Treating, Sour Water, Sulfur and Tail Gas)<\/a>,\u00a0<a href=\"http:\/\/www.jmcampbell.com\/co2-surface-facilities-pf81.php\">PF-81 (CO2 Surface Facilities)<\/a>,\u00a0<a href=\"http:\/\/www.jmcampbell.com\/process-simulation-in-gas-conditioning-and-processing-g7.php\"><\/a> and\u00a0<a href=\"http:\/\/www.jmcampbell.com\/process-facility-fundamentals-g40.php\">G40 (Process\/Facility Fundamentals)<\/a> courses.<\/p>\n<p><em>By: Wes Wright and Dr. Mahmood Moshfeghian<br \/>\n<\/em><\/p>\n<p><strong>References:<\/strong><strong><\/strong><\/p>\n<ol>\n<li>Wichert, E. and Aziz, K., Hydr. Proc., p. 119 (May 1972).<\/li>\n<li>Lemmon, E.W., Huber, M.L., McLinden, M.O.\u00a0 NIST Standard Reference Database 23:\u00a0 Reference Fluid Thermodynamic and Transport Properties-REFPROP, Version 8.0, National Institute of Standards and Technology, Standard Reference Data Program, Gaithersburg, 2007.<\/li>\n<li>Kunz, O., Klimeck, R., Wagner, W., and Jaeschke, M.\u00a0 \u201cThe GERG-2004 Wide-Range Equation of State for Natural Gases and Other Mixtures,\u201d GERG Technical Monograph 15 (2007)<\/li>\n<li>Hwang, C-A., Duarte-Garza, H., Eubank, P. T., Holste, J. C. Hall, K. R., Gammon, B. E., \u00a0March, K. N., \u201cThermodynamic Properties of CO<sub>2<\/sub> + CH<sub>4<\/sub> Mixtures,\u201d GPA RR-138, Gas Processors Association, Tulsa, OK, June 1995<\/li>\n<li>Hall, K. R., Eubank, P. T., Holste, J., Marsh, K.N., \u201cProperties of C02-Rich Mixtures Literature Search and Pure C02 Data, Phase I,\u201d GPA RR-68, A Joint Research Report by Gas Processor Association and the Gas Research Institute, Gas Processors Association, Tulsa, OK, June 1985<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>Gas density estimates are of fundamental importance for process simulation, equipment design, and process safety engineering.\u00a0 In the previous Tip of the Month (TOTM), two shortcut methods for predicting sour and acid gas density were evaluated.\u00a0 We showed that Katz correlation gives accurate results for lean sweet gases and it is the most accurate in [&hellip;]<\/p>\n","protected":false},"author":23,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"nf_dc_page":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false},"categories":[3,10,4],"tags":[],"coauthors":[],"class_list":["post-205","post","type-post","status-publish","format-standard","hentry","category-gas-processing","category-process-facilities","category-refining"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p1pQc4-3j","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"http:\/\/www.jmcampbell.com\/tip-of-the-month\/wp-json\/wp\/v2\/posts\/205","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.jmcampbell.com\/tip-of-the-month\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.jmcampbell.com\/tip-of-the-month\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.jmcampbell.com\/tip-of-the-month\/wp-json\/wp\/v2\/users\/23"}],"replies":[{"embeddable":true,"href":"http:\/\/www.jmcampbell.com\/tip-of-the-month\/wp-json\/wp\/v2\/comments?post=205"}],"version-history":[{"count":4,"href":"http:\/\/www.jmcampbell.com\/tip-of-the-month\/wp-json\/wp\/v2\/posts\/205\/revisions"}],"predecessor-version":[{"id":968,"href":"http:\/\/www.jmcampbell.com\/tip-of-the-month\/wp-json\/wp\/v2\/posts\/205\/revisions\/968"}],"wp:attachment":[{"href":"http:\/\/www.jmcampbell.com\/tip-of-the-month\/wp-json\/wp\/v2\/media?parent=205"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.jmcampbell.com\/tip-of-the-month\/wp-json\/wp\/v2\/categories?post=205"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.jmcampbell.com\/tip-of-the-month\/wp-json\/wp\/v2\/tags?post=205"},{"taxonomy":"author","embeddable":true,"href":"http:\/\/www.jmcampbell.com\/tip-of-the-month\/wp-json\/wp\/v2\/coauthors?post=205"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}