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Mathematical Modeling of the Heavy Oil Production with Hydraulic Fracturing under Radio-Frequency Electromagnetic Irradiation
The paper discusses the results of mathematical modeling of the flows of heavy oil to a fractured well under radio-frequency electromagnetic irradiation. We consider an element of a development system with several fractured wells. The fractures have the same geometry and properties and are directed...
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Published in: | Journal of applied and industrial mathematics 2023-03, Vol.17 (1), p.32-42 |
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container_title | Journal of applied and industrial mathematics |
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creator | Davletbaev, A. Ya Kovaleva, L. A. Mukhametova, Z. S. |
description | The paper discusses the results of mathematical modeling of the flows of heavy oil to a fractured well under radio-frequency electromagnetic irradiation. We consider an element of a development system with several fractured wells. The fractures have the same geometry and properties and are directed along the regional stresses. The model takes into account the effects of thermal expansion of oil, the dependence of the viscosity of fluid on temperature, and the influence of the surrounding wells on the nonstationary pressure and temperature distributions around the producing well under thermal influence. Numerical calculations of variants with various fracture conductivities are carried out, the processes of mass and heat transfer around the fractured well are investigated, and comparative calculations with “cold” production are performed. |
doi_str_mv | 10.1134/S1990478923010040 |
format | article |
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Ya ; Kovaleva, L. A. ; Mukhametova, Z. S.</creator><creatorcontrib>Davletbaev, A. Ya ; Kovaleva, L. A. ; Mukhametova, Z. S.</creatorcontrib><description>The paper discusses the results of mathematical modeling of the flows of heavy oil to a fractured well under radio-frequency electromagnetic irradiation. We consider an element of a development system with several fractured wells. The fractures have the same geometry and properties and are directed along the regional stresses. The model takes into account the effects of thermal expansion of oil, the dependence of the viscosity of fluid on temperature, and the influence of the surrounding wells on the nonstationary pressure and temperature distributions around the producing well under thermal influence. Numerical calculations of variants with various fracture conductivities are carried out, the processes of mass and heat transfer around the fractured well are investigated, and comparative calculations with “cold” production are performed.</description><identifier>ISSN: 1990-4789</identifier><identifier>EISSN: 1990-4797</identifier><identifier>DOI: 10.1134/S1990478923010040</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Development systems ; Hydraulic fracturing ; Irradiation ; Mathematical analysis ; Mathematical models ; Mathematics ; Mathematics and Statistics ; Radio frequency ; Thermal expansion</subject><ispartof>Journal of applied and industrial mathematics, 2023-03, Vol.17 (1), p.32-42</ispartof><rights>Pleiades Publishing, Ltd. 2023</rights><rights>Pleiades Publishing, Ltd. 2023.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c1830-75b14e29a57144c5360c902ec1ee50d868109246b85e54e70b136256ef7e65363</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Davletbaev, A. Ya</creatorcontrib><creatorcontrib>Kovaleva, L. A.</creatorcontrib><creatorcontrib>Mukhametova, Z. S.</creatorcontrib><title>Mathematical Modeling of the Heavy Oil Production with Hydraulic Fracturing under Radio-Frequency Electromagnetic Irradiation</title><title>Journal of applied and industrial mathematics</title><addtitle>J. Appl. Ind. Math</addtitle><description>The paper discusses the results of mathematical modeling of the flows of heavy oil to a fractured well under radio-frequency electromagnetic irradiation. We consider an element of a development system with several fractured wells. The fractures have the same geometry and properties and are directed along the regional stresses. The model takes into account the effects of thermal expansion of oil, the dependence of the viscosity of fluid on temperature, and the influence of the surrounding wells on the nonstationary pressure and temperature distributions around the producing well under thermal influence. Numerical calculations of variants with various fracture conductivities are carried out, the processes of mass and heat transfer around the fractured well are investigated, and comparative calculations with “cold” production are performed.</description><subject>Development systems</subject><subject>Hydraulic fracturing</subject><subject>Irradiation</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Radio frequency</subject><subject>Thermal expansion</subject><issn>1990-4789</issn><issn>1990-4797</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNp1UMtKw0AUHUTBUvsB7gZcR-edzFJKawstio91mExu25E0UyeJkoX_7oSKLsTVuRzO43IQuqTkmlIubp6o1kSkmWacUEIEOUGjgUpEqtPTnzvT52jSNK4gnDLFlWIj9Lk27Q72pnXWVHjtS6hcvcV-gyONF2Dee3zvKvwQfNnZ1vkaf7h2hxd9GUxXOYvnwdi2C4Orq0sI-NGUzifzAG8d1LbHswpsG_zebGuINXgZQlSYIesCnW1M1cDkG8foZT57ni6S1f3dcnq7SizNOElSWVABTBuZUiGs5IpYTRhYCiBJmamMEs2EKjIJUkBKCsoVkwo2Kaio5mN0dcw9BB-_atr81XehjpU5yxhXQsgIY0SPKht80wTY5Ifg9ib0OSX5MHT-Z-joYUdPcxgmgPCb_L_pC2wHf4U</recordid><startdate>20230301</startdate><enddate>20230301</enddate><creator>Davletbaev, A. 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S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c1830-75b14e29a57144c5360c902ec1ee50d868109246b85e54e70b136256ef7e65363</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Development systems</topic><topic>Hydraulic fracturing</topic><topic>Irradiation</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Radio frequency</topic><topic>Thermal expansion</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Davletbaev, A. Ya</creatorcontrib><creatorcontrib>Kovaleva, L. A.</creatorcontrib><creatorcontrib>Mukhametova, Z. S.</creatorcontrib><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><jtitle>Journal of applied and industrial mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Davletbaev, A. Ya</au><au>Kovaleva, L. A.</au><au>Mukhametova, Z. S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Mathematical Modeling of the Heavy Oil Production with Hydraulic Fracturing under Radio-Frequency Electromagnetic Irradiation</atitle><jtitle>Journal of applied and industrial mathematics</jtitle><stitle>J. Appl. Ind. Math</stitle><date>2023-03-01</date><risdate>2023</risdate><volume>17</volume><issue>1</issue><spage>32</spage><epage>42</epage><pages>32-42</pages><issn>1990-4789</issn><eissn>1990-4797</eissn><abstract>The paper discusses the results of mathematical modeling of the flows of heavy oil to a fractured well under radio-frequency electromagnetic irradiation. We consider an element of a development system with several fractured wells. The fractures have the same geometry and properties and are directed along the regional stresses. The model takes into account the effects of thermal expansion of oil, the dependence of the viscosity of fluid on temperature, and the influence of the surrounding wells on the nonstationary pressure and temperature distributions around the producing well under thermal influence. Numerical calculations of variants with various fracture conductivities are carried out, the processes of mass and heat transfer around the fractured well are investigated, and comparative calculations with “cold” production are performed.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S1990478923010040</doi><tpages>11</tpages></addata></record> |
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subjects | Development systems Hydraulic fracturing Irradiation Mathematical analysis Mathematical models Mathematics Mathematics and Statistics Radio frequency Thermal expansion |
title | Mathematical Modeling of the Heavy Oil Production with Hydraulic Fracturing under Radio-Frequency Electromagnetic Irradiation |
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