{"id":7107,"date":"2025-10-22T06:45:14","date_gmt":"2025-10-22T03:45:14","guid":{"rendered":"https:\/\/academyoge.com\/?p=7107"},"modified":"2026-05-28T05:56:33","modified_gmt":"2026-05-28T02:56:33","slug":"pvt-modelirovanie-s-ispolzovaniem-uravneniya-sostoyaniya-2","status":"publish","type":"post","link":"https:\/\/academyoge.com\/en\/content\/pvt-modelirovanie-s-ispolzovaniem-uravneniya-sostoyaniya-2\/","title":{"rendered":"PVT modeling using the equation of state"},"content":{"rendered":"<p><strong>Target audience:<\/strong>persons with (or in the process of obtaining) higher or secondary professional education in the relevant specialty, or those who have undergone professional retraining in the corresponding field<\/p>\n\n\n\n<p><strong>Studying methods:<\/strong> lectures, seminars, discussions, problem-solving, calculations, and graphing.<\/p>\n\n\n\n<p><strong>After of course, participants will be:<\/strong> to enhance professional competencies reflected in knowledge and skills.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>work with technical reports on PVT analysis of reservoir fluids in Russian and international formats;<\/li>\n\n\n\n<li>theory and practice of mathematical modeling of reservoir fluids (reservoir oil, gas\u2011condensate systems);<\/li>\n\n\n\n<li>understand the objectives and application of various methods for creating a reservoir fluid model;<\/li>\n\n\n\n<li>work in a PVT simulator;<\/li>\n\n\n\n<li>identify causes of changes in reservoir fluid properties and draw appropriate conclusions for their mathematical description;<\/li>\n\n\n\n<li>use mathematical modeling to calculate compositional changes with depth for reservoir oils, gas\u2011condensate systems, and two\u2011phase reservoirs;<\/li>\n\n\n\n<li>apply PVT models to identify the component composition and properties of fluids in two\u2011phase reservoirs with limited initial data;<\/li>\n\n\n\n<li>adapt PVT models to EOR experiments (swelling, slim\u2011tube) for accurate EOR modeling in reservoir simulation;<\/li>\n\n\n\n<li>account for the influence of dispersed oil on gas\u2011condensate system behavior using PVT modeling;<\/li>\n\n\n\n<li>study oil displacement principles by gases and perform modeling in a PVT simulator;<\/li>\n\n\n\n<li>learn the technique of re\u2011saturation of reservoir fluid to restore properties of a maximally saturated reservoir;<\/li>\n\n\n\n<li>study modeling of three\u2011phase vapor\u2011liquid equilibrium in the \u00abwater\u2013hydrocarbon fluid\u00bb system. Calculate water content. Study hydrate formation criteria.<\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<p><strong>About course:<\/strong> professional development for specialists in hydrodynamic and PVT simulation, with an emphasis on modelling of reservoir fluids.<\/p>\n\n\n\n<p><\/p>","protected":false},"excerpt":{"rendered":"<p>\u0426\u0435\u043b\u0435\u0432\u0430\u044f \u0430\u0443\u0434\u0438\u0442\u043e\u0440\u0438\u044f: \u043b\u0438\u0446\u0430, \u0438\u043c\u0435\u044e\u0449\u0438\u0435 (\u043f\u043e\u043b\u0443\u0447\u0430\u044e\u0449\u0438\u0435) \u0432\u044b\u0441\u0448\u0435\u0435 \u0438\u043b\u0438 \u0441\u0440\u0435\u0434\u043d\u0435\u0435 \u043f\u0440\u043e\u0444\u0435\u0441\u0441\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u043e\u0435 \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0435 \u043f\u043e \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0435\u0439 \u0441\u043f\u0435\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0441\u0442\u0438 \u043b\u0438\u0431\u043e \u043f\u0440\u043e\u0448\u0435\u0434\u0448\u0438\u0435 \u043f\u0440\u043e\u0444\u0435\u0441\u0441\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u0443\u044e \u043f\u0435\u0440\u0435\u043f\u043e\u0434\u0433\u043e\u0442\u043e\u0432\u043a\u0443 \u043f\u043e \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0435\u043c\u0443 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044e. \u041c\u0435\u0442\u043e\u0434\u0438\u043a\u0430 \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u044f: \u043b\u0435\u043a\u0446\u0438\u0438, \u0441\u0435\u043c\u0438\u043d\u0430\u0440\u044b, \u0431\u0435\u0441\u0435\u0434\u044b, \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u0437\u0430\u0434\u0430\u0447, \u043f\u0440\u043e\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0440\u0430\u0441\u0447\u0435\u0442\u043e\u0432, \u043f\u043e\u0441\u0442\u0440\u043e\u0435\u043d\u0438\u0435 \u0433\u0440\u0430\u0444\u0438\u043a\u043e\u0432. \u041f\u043e \u043e\u043a\u043e\u043d\u0447\u0430\u043d\u0438\u0438 \u043a\u0443\u0440\u0441\u0430 \u0443\u0447\u0430\u0441\u0442\u043d\u0438\u043a\u0438 \u0441\u043c\u043e\u0433\u0443\u0442: \u0443\u0441\u043e\u0432\u0435\u0440\u0448\u0435\u043d\u0441\u0442\u0432\u043e\u0432\u0430\u0442\u044c \u043f\u0440\u043e\u0444\u0435\u0441\u0441\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b\u0435 \u043a\u043e\u043c\u043f\u0435\u0442\u0435\u043d\u0446\u0438\u0438, \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u043d\u044b\u0435 \u0432 \u0437\u043d\u0430\u043d\u0438\u044f\u0445 \u0438 \u0441\u043f\u043e\u0441\u043e\u0431\u043d\u043e\u0441\u0442\u044f\u0445: \u041e \u043a\u0443\u0440\u0441\u0435: \u0441\u043e\u0432\u0435\u0440\u0448\u0435\u043d\u0441\u0442\u0432\u043e\u0432\u0430\u043d\u0438\u0435 \u043f\u0440\u043e\u0444\u0435\u0441\u0441\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b\u0445 \u043a\u043e\u043c\u043f\u0435\u0442\u0435\u043d\u0446\u0438\u0439 \u0441\u043f\u0435\u0446\u0438\u0430\u043b\u0438\u0441\u0442\u043e\u0432 \u043f\u043e \u0433\u0438\u0434\u0440\u043e\u0434\u0438\u043d\u0430\u043c\u0438\u0447\u0435\u0441\u043a\u043e\u043c\u0443 \u0438 PVT-\u043c\u043e\u0434\u0435\u043b\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044e \u0432 [&hellip;]<\/p>","protected":false},"author":2,"featured_media":4862,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[57],"tags":[60],"metki-dlia-raspisaniia":[],"class_list":["post-7107","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-geologicheskoe-modelirovanie-i-issledovanie-plastov","tag-4kv"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>PVT-\u043c\u043e\u0434\u0435\u043b\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u0441 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u043d\u0438\u0435\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0441\u043e\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u2014 \u0410\u043a\u0430\u0434\u0435\u043c\u0438\u044f \u0418\u041d\u0413\u041c<\/title>\n<meta name=\"description\" content=\"\u0413\u0440\u0430\u0444\u0438\u043a \u043e\u0431\u0443\u0447\u0430\u044e\u0449\u0438\u0445 \u043a\u0443\u0440\u0441\u043e\u0432 \u0410\u043a\u0430\u0434\u0435\u043c\u0438\u0438 \u0418\u041d\u0413\u041c (\u0410\u043a\u0430\u0434\u0435\u043c\u0438\u044f \u0438\u043d\u0436\u0438\u043d\u0438\u0440\u0438\u043d\u0433\u0430 \u043d\u0435\u0444\u0442\u044f\u043d\u044b\u0445 \u0438 \u0433\u0430\u0437\u043e\u0432\u044b\u0445 \u043c\u0435\u0441\u0442\u043e\u0440\u043e\u0436\u0434\u0435\u043d\u0438\u0439). \u041e\u0437\u043d\u0430\u043a\u043e\u043c\u044c\u0442\u0435\u0441\u044c \u0441 \u0440\u0430\u0441\u043f\u0438\u0441\u0430\u043d\u0438\u0435\u043c.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/academyoge.com\/en\/content\/pvt-modelirovanie-s-ispolzovaniem-uravneniya-sostoyaniya-2\/\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/academyoge.com\/content\/pvt-modelirovanie-s-ispolzovaniem-uravneniya-sostoyaniya-2\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/academyoge.com\/content\/pvt-modelirovanie-s-ispolzovaniem-uravneniya-sostoyaniya-2\/\"},\"author\":{\"name\":\"Admin\",\"@id\":\"https:\/\/academyoge.com\/#\/schema\/person\/51bea91e3a14f76993477d9d9134ccad\"},\"headline\":\"PVT-\u043c\u043e\u0434\u0435\u043b\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u0441 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u043d\u0438\u0435\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0441\u043e\u0441\u0442\u043e\u044f\u043d\u0438\u044f\",\"datePublished\":\"2025-10-22T03:45:14+00:00\",\"dateModified\":\"2026-05-28T02:56:33+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/academyoge.com\/content\/pvt-modelirovanie-s-ispolzovaniem-uravneniya-sostoyaniya-2\/\"},\"wordCount\":210,\"publisher\":{\"@id\":\"https:\/\/academyoge.com\/#organization\"},\"image\":{\"@id\":\"https:\/\/academyoge.com\/content\/pvt-modelirovanie-s-ispolzovaniem-uravneniya-sostoyaniya-2\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/academyoge.com\/wp-content\/uploads\/2024\/09\/bg-kurs.jpg\",\"keywords\":[\"4 \u043a\u0432\u0430\u0440\u0442\u0430\u043b\"],\"articleSection\":[\"\u0413\u0435\u043e\u043b\u043e\u0433\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043c\u043e\u0434\u0435\u043b\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u0438 \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u043d\u0438\u0435 \u043f\u043b\u0430\u0441\u0442\u043e\u0432\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/academyoge.com\/content\/pvt-modelirovanie-s-ispolzovaniem-uravneniya-sostoyaniya-2\/\",\"url\":\"https:\/\/academyoge.com\/content\/pvt-modelirovanie-s-ispolzovaniem-uravneniya-sostoyaniya-2\/\",\"name\":\"PVT-\u043c\u043e\u0434\u0435\u043b\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u0441 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u043d\u0438\u0435\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0441\u043e\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u2014 \u0410\u043a\u0430\u0434\u0435\u043c\u0438\u044f \u0418\u041d\u0413\u041c\",\"isPartOf\":{\"@id\":\"https:\/\/academyoge.com\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/academyoge.com\/content\/pvt-modelirovanie-s-ispolzovaniem-uravneniya-sostoyaniya-2\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/academyoge.com\/content\/pvt-modelirovanie-s-ispolzovaniem-uravneniya-sostoyaniya-2\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/academyoge.com\/wp-content\/uploads\/2024\/09\/bg-kurs.jpg\",\"datePublished\":\"2025-10-22T03:45:14+00:00\",\"dateModified\":\"2026-05-28T02:56:33+00:00\",\"description\":\"\u0413\u0440\u0430\u0444\u0438\u043a \u043e\u0431\u0443\u0447\u0430\u044e\u0449\u0438\u0445 \u043a\u0443\u0440\u0441\u043e\u0432 \u0410\u043a\u0430\u0434\u0435\u043c\u0438\u0438 \u0418\u041d\u0413\u041c (\u0410\u043a\u0430\u0434\u0435\u043c\u0438\u044f \u0438\u043d\u0436\u0438\u043d\u0438\u0440\u0438\u043d\u0433\u0430 \u043d\u0435\u0444\u0442\u044f\u043d\u044b\u0445 \u0438 \u0433\u0430\u0437\u043e\u0432\u044b\u0445 \u043c\u0435\u0441\u0442\u043e\u0440\u043e\u0436\u0434\u0435\u043d\u0438\u0439). \u041e\u0437\u043d\u0430\u043a\u043e\u043c\u044c\u0442\u0435\u0441\u044c \u0441 \u0440\u0430\u0441\u043f\u0438\u0441\u0430\u043d\u0438\u0435\u043c.\",\"breadcrumb\":{\"@id\":\"https:\/\/academyoge.com\/content\/pvt-modelirovanie-s-ispolzovaniem-uravneniya-sostoyaniya-2\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/academyoge.com\/content\/pvt-modelirovanie-s-ispolzovaniem-uravneniya-sostoyaniya-2\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/academyoge.com\/content\/pvt-modelirovanie-s-ispolzovaniem-uravneniya-sostoyaniya-2\/#primaryimage\",\"url\":\"https:\/\/academyoge.com\/wp-content\/uploads\/2024\/09\/bg-kurs.jpg\",\"contentUrl\":\"https:\/\/academyoge.com\/wp-content\/uploads\/2024\/09\/bg-kurs.jpg\",\"width\":2560,\"height\":1920},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/academyoge.com\/content\/pvt-modelirovanie-s-ispolzovaniem-uravneniya-sostoyaniya-2\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\u0413\u043b\u0430\u0432\u043d\u0430\u044f\",\"item\":\"https:\/\/academyoge.com\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"PVT-\u043c\u043e\u0434\u0435\u043b\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u0441 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u043d\u0438\u0435\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0441\u043e\u0441\u0442\u043e\u044f\u043d\u0438\u044f\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/academyoge.com\/#website\",\"url\":\"https:\/\/academyoge.com\/\",\"name\":\"\u0410\u043a\u0430\u0434\u0435\u043c\u0438\u044f \u0418\u041d\u0413\u041c\",\"description\":\"\u0410\u0418\u041d\u0413\u041c - \u0410\u043a\u0430\u0434\u0435\u043c\u0438\u044f \u0438\u043d\u0436\u0438\u043d\u0438\u0440\u0438\u043d\u0433\u0430 \u043d\u0435\u0444\u0442\u044f\u043d\u044b\u0445 \u0438 \u0433\u0430\u0437\u043e\u0432\u044b\u043c \u043c\u0435\u0441\u0442\u043e\u0440\u043e\u0436\u0434\u0435\u043d\u0438\u0439\",\"publisher\":{\"@id\":\"https:\/\/academyoge.com\/#organization\"},\"alternateName\":\"\u0410\u0418\u041d\u0413\u041c\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/academyoge.com\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/academyoge.com\/#organization\",\"name\":\"\u0410\u043a\u0430\u0434\u0435\u043c\u0438\u044f \u0418\u041d\u0413\u041c\",\"url\":\"https:\/\/academyoge.com\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/academyoge.com\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/academyoge.com\/wp-content\/uploads\/2024\/12\/cropped-logo-oil.jpg\",\"contentUrl\":\"https:\/\/academyoge.com\/wp-content\/uploads\/2024\/12\/cropped-logo-oil.jpg\",\"width\":500,\"height\":500,\"caption\":\"\u0410\u043a\u0430\u0434\u0435\u043c\u0438\u044f \u0418\u041d\u0413\u041c\"},\"image\":{\"@id\":\"https:\/\/academyoge.com\/#\/schema\/logo\/image\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\/\/academyoge.com\/#\/schema\/person\/51bea91e3a14f76993477d9d9134ccad\",\"name\":\"Admin\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/academyoge.com\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/dcb0c065895d76649e7aee05409f2a07?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/dcb0c065895d76649e7aee05409f2a07?s=96&d=mm&r=g\",\"caption\":\"Admin\"}}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"PVT-\u043c\u043e\u0434\u0435\u043b\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u0441 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u043d\u0438\u0435\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0441\u043e\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u2014 \u0410\u043a\u0430\u0434\u0435\u043c\u0438\u044f \u0418\u041d\u0413\u041c","description":"\u0413\u0440\u0430\u0444\u0438\u043a \u043e\u0431\u0443\u0447\u0430\u044e\u0449\u0438\u0445 \u043a\u0443\u0440\u0441\u043e\u0432 \u0410\u043a\u0430\u0434\u0435\u043c\u0438\u0438 \u0418\u041d\u0413\u041c (\u0410\u043a\u0430\u0434\u0435\u043c\u0438\u044f \u0438\u043d\u0436\u0438\u043d\u0438\u0440\u0438\u043d\u0433\u0430 \u043d\u0435\u0444\u0442\u044f\u043d\u044b\u0445 \u0438 \u0433\u0430\u0437\u043e\u0432\u044b\u0445 \u043c\u0435\u0441\u0442\u043e\u0440\u043e\u0436\u0434\u0435\u043d\u0438\u0439). \u041e\u0437\u043d\u0430\u043a\u043e\u043c\u044c\u0442\u0435\u0441\u044c \u0441 \u0440\u0430\u0441\u043f\u0438\u0441\u0430\u043d\u0438\u0435\u043c.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/academyoge.com\/en\/content\/pvt-modelirovanie-s-ispolzovaniem-uravneniya-sostoyaniya-2\/","schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/academyoge.com\/content\/pvt-modelirovanie-s-ispolzovaniem-uravneniya-sostoyaniya-2\/#article","isPartOf":{"@id":"https:\/\/academyoge.com\/content\/pvt-modelirovanie-s-ispolzovaniem-uravneniya-sostoyaniya-2\/"},"author":{"name":"Admin","@id":"https:\/\/academyoge.com\/#\/schema\/person\/51bea91e3a14f76993477d9d9134ccad"},"headline":"PVT-\u043c\u043e\u0434\u0435\u043b\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u0441 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u043d\u0438\u0435\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0441\u043e\u0441\u0442\u043e\u044f\u043d\u0438\u044f","datePublished":"2025-10-22T03:45:14+00:00","dateModified":"2026-05-28T02:56:33+00:00","mainEntityOfPage":{"@id":"https:\/\/academyoge.com\/content\/pvt-modelirovanie-s-ispolzovaniem-uravneniya-sostoyaniya-2\/"},"wordCount":210,"publisher":{"@id":"https:\/\/academyoge.com\/#organization"},"image":{"@id":"https:\/\/academyoge.com\/content\/pvt-modelirovanie-s-ispolzovaniem-uravneniya-sostoyaniya-2\/#primaryimage"},"thumbnailUrl":"https:\/\/academyoge.com\/wp-content\/uploads\/2024\/09\/bg-kurs.jpg","keywords":["4 \u043a\u0432\u0430\u0440\u0442\u0430\u043b"],"articleSection":["\u0413\u0435\u043e\u043b\u043e\u0433\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043c\u043e\u0434\u0435\u043b\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u0438 \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u043d\u0438\u0435 \u043f\u043b\u0430\u0441\u0442\u043e\u0432"],"inLanguage":"en-US"},{"@type":"WebPage","@id":"https:\/\/academyoge.com\/content\/pvt-modelirovanie-s-ispolzovaniem-uravneniya-sostoyaniya-2\/","url":"https:\/\/academyoge.com\/content\/pvt-modelirovanie-s-ispolzovaniem-uravneniya-sostoyaniya-2\/","name":"PVT-\u043c\u043e\u0434\u0435\u043b\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u0441 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u043d\u0438\u0435\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0441\u043e\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u2014 \u0410\u043a\u0430\u0434\u0435\u043c\u0438\u044f \u0418\u041d\u0413\u041c","isPartOf":{"@id":"https:\/\/academyoge.com\/#website"},"primaryImageOfPage":{"@id":"https:\/\/academyoge.com\/content\/pvt-modelirovanie-s-ispolzovaniem-uravneniya-sostoyaniya-2\/#primaryimage"},"image":{"@id":"https:\/\/academyoge.com\/content\/pvt-modelirovanie-s-ispolzovaniem-uravneniya-sostoyaniya-2\/#primaryimage"},"thumbnailUrl":"https:\/\/academyoge.com\/wp-content\/uploads\/2024\/09\/bg-kurs.jpg","datePublished":"2025-10-22T03:45:14+00:00","dateModified":"2026-05-28T02:56:33+00:00","description":"\u0413\u0440\u0430\u0444\u0438\u043a \u043e\u0431\u0443\u0447\u0430\u044e\u0449\u0438\u0445 \u043a\u0443\u0440\u0441\u043e\u0432 \u0410\u043a\u0430\u0434\u0435\u043c\u0438\u0438 \u0418\u041d\u0413\u041c (\u0410\u043a\u0430\u0434\u0435\u043c\u0438\u044f \u0438\u043d\u0436\u0438\u043d\u0438\u0440\u0438\u043d\u0433\u0430 \u043d\u0435\u0444\u0442\u044f\u043d\u044b\u0445 \u0438 \u0433\u0430\u0437\u043e\u0432\u044b\u0445 \u043c\u0435\u0441\u0442\u043e\u0440\u043e\u0436\u0434\u0435\u043d\u0438\u0439). \u041e\u0437\u043d\u0430\u043a\u043e\u043c\u044c\u0442\u0435\u0441\u044c \u0441 \u0440\u0430\u0441\u043f\u0438\u0441\u0430\u043d\u0438\u0435\u043c.","breadcrumb":{"@id":"https:\/\/academyoge.com\/content\/pvt-modelirovanie-s-ispolzovaniem-uravneniya-sostoyaniya-2\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/academyoge.com\/content\/pvt-modelirovanie-s-ispolzovaniem-uravneniya-sostoyaniya-2\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/academyoge.com\/content\/pvt-modelirovanie-s-ispolzovaniem-uravneniya-sostoyaniya-2\/#primaryimage","url":"https:\/\/academyoge.com\/wp-content\/uploads\/2024\/09\/bg-kurs.jpg","contentUrl":"https:\/\/academyoge.com\/wp-content\/uploads\/2024\/09\/bg-kurs.jpg","width":2560,"height":1920},{"@type":"BreadcrumbList","@id":"https:\/\/academyoge.com\/content\/pvt-modelirovanie-s-ispolzovaniem-uravneniya-sostoyaniya-2\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"\u0413\u043b\u0430\u0432\u043d\u0430\u044f","item":"https:\/\/academyoge.com\/"},{"@type":"ListItem","position":2,"name":"PVT-\u043c\u043e\u0434\u0435\u043b\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u0441 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u043d\u0438\u0435\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0441\u043e\u0441\u0442\u043e\u044f\u043d\u0438\u044f"}]},{"@type":"WebSite","@id":"https:\/\/academyoge.com\/#website","url":"https:\/\/academyoge.com\/","name":"\u0410\u043a\u0430\u0434\u0435\u043c\u0438\u044f \u0418\u041d\u0413\u041c","description":"\u0410\u0418\u041d\u0413\u041c - \u0410\u043a\u0430\u0434\u0435\u043c\u0438\u044f \u0438\u043d\u0436\u0438\u043d\u0438\u0440\u0438\u043d\u0433\u0430 \u043d\u0435\u0444\u0442\u044f\u043d\u044b\u0445 \u0438 \u0433\u0430\u0437\u043e\u0432\u044b\u043c \u043c\u0435\u0441\u0442\u043e\u0440\u043e\u0436\u0434\u0435\u043d\u0438\u0439","publisher":{"@id":"https:\/\/academyoge.com\/#organization"},"alternateName":"\u0410\u0418\u041d\u0413\u041c","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/academyoge.com\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/academyoge.com\/#organization","name":"\u0410\u043a\u0430\u0434\u0435\u043c\u0438\u044f \u0418\u041d\u0413\u041c","url":"https:\/\/academyoge.com\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/academyoge.com\/#\/schema\/logo\/image\/","url":"https:\/\/academyoge.com\/wp-content\/uploads\/2024\/12\/cropped-logo-oil.jpg","contentUrl":"https:\/\/academyoge.com\/wp-content\/uploads\/2024\/12\/cropped-logo-oil.jpg","width":500,"height":500,"caption":"\u0410\u043a\u0430\u0434\u0435\u043c\u0438\u044f \u0418\u041d\u0413\u041c"},"image":{"@id":"https:\/\/academyoge.com\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/academyoge.com\/#\/schema\/person\/51bea91e3a14f76993477d9d9134ccad","name":"Admin","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/academyoge.com\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/dcb0c065895d76649e7aee05409f2a07?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/dcb0c065895d76649e7aee05409f2a07?s=96&d=mm&r=g","caption":"Admin"}}]}},"publishpress_future_action":{"enabled":false,"date":"2026-06-22 12:14:53","action":"change-status","newStatus":"draft","terms":[],"taxonomy":"category"},"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/academyoge.com\/en\/wp-json\/wp\/v2\/posts\/7107","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/academyoge.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/academyoge.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/academyoge.com\/en\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/academyoge.com\/en\/wp-json\/wp\/v2\/comments?post=7107"}],"version-history":[{"count":3,"href":"https:\/\/academyoge.com\/en\/wp-json\/wp\/v2\/posts\/7107\/revisions"}],"predecessor-version":[{"id":7270,"href":"https:\/\/academyoge.com\/en\/wp-json\/wp\/v2\/posts\/7107\/revisions\/7270"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/academyoge.com\/en\/wp-json\/wp\/v2\/media\/4862"}],"wp:attachment":[{"href":"https:\/\/academyoge.com\/en\/wp-json\/wp\/v2\/media?parent=7107"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/academyoge.com\/en\/wp-json\/wp\/v2\/categories?post=7107"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/academyoge.com\/en\/wp-json\/wp\/v2\/tags?post=7107"},{"taxonomy":"metki-dlia-raspisaniia","embeddable":true,"href":"https:\/\/academyoge.com\/en\/wp-json\/wp\/v2\/metki-dlia-raspisaniia?post=7107"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}