THEORY AND APPLICATION OF FRACTIONAL STEP CHARACTERISTIC FINITE DIFFERENCE METHOD IN NUMERICAL SIMULATION OF SECOND ORDER ENHANCED OIL PRODUCTION
A kind of second-order implicit fractional step characteristic finite difference method is presented in this paper for the numerically simulation coupled system of enhanced （chemical） oil production in porous media. Some techniques, such as the calculus of variations, energy analysis method, commuta...
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| Veröffentlicht in: | Acta mathematica scientia 2015-11, Vol.35 (6), p.1547-1565 |
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| container_issue | 6 |
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| container_title | Acta mathematica scientia |
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| creator | 袁益让 程爱杰 羊丹平 李长峰 |
| description | A kind of second-order implicit fractional step characteristic finite difference method is presented in this paper for the numerically simulation coupled system of enhanced （chemical） oil production in porous media. Some techniques, such as the calculus of variations, energy analysis method, commutativity of the products of difference operators, decomposition of high-order difference operators and the theory of a priori estimates are introduced and an optimal order error estimates in l^2 norm is derived. This method has been applied successfully to the numerical simulation of enhanced oil production in actual oilfields, and the simulation results ate quite interesting and satisfactory. |
| doi_str_mv | 10.1016/S0252-9602(15)30073-4 |
| format | Article |
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Some techniques, such as the calculus of variations, energy analysis method, commutativity of the products of difference operators, decomposition of high-order difference operators and the theory of a priori estimates are introduced and an optimal order error estimates in l^2 norm is derived. This method has been applied successfully to the numerical simulation of enhanced oil production in actual oilfields, and the simulation results ate quite interesting and satisfactory.</description><identifier>ISSN: 0252-9602</identifier><identifier>EISSN: 1572-9087</identifier><identifier>DOI: 10.1016/S0252-9602(15)30073-4</identifier><language>eng</language><publisher>Elsevier Ltd</publisher><subject>65M06 ; 65N30 ; 76M25 ; 76S05 ; application in actual oilfields ; enhanced (chemical) oil production ; optimal order l2 estimate ; second-order implicit characteristic fractional step differences ; three-dimensional porous coupled system ; 二阶 ; 分数 ; 应用 ; 强化采油 ; 数值模拟 ; 有限差分法 ; 特性 ; 阶跃</subject><ispartof>Acta mathematica scientia, 2015-11, Vol.35 (6), p.1547-1565</ispartof><rights>2015 Wuhan Institute of Physics and Mathematics</rights><rights>Copyright © Wanfang Data Co. Ltd. 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This method has been applied successfully to the numerical simulation of enhanced oil production in actual oilfields, and the simulation results ate quite interesting and satisfactory.</description><subject>65M06</subject><subject>65N30</subject><subject>76M25</subject><subject>76S05</subject><subject>application in actual oilfields</subject><subject>enhanced (chemical) oil production</subject><subject>optimal order l2 estimate</subject><subject>second-order implicit characteristic fractional step differences</subject><subject>three-dimensional porous coupled system</subject><subject>二阶</subject><subject>分数</subject><subject>应用</subject><subject>强化采油</subject><subject>数值模拟</subject><subject>有限差分法</subject><subject>特性</subject><subject>阶跃</subject><issn>0252-9602</issn><issn>1572-9087</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><recordid>eNqFUc1unDAQtqpW6jbJI1SyemoOJGNjbDhVCEyxxMKKZQ89WawxKVHKtpA2yWP0jWt201xzGs_o-xnPh9BHAlcECL_eAg2oF3Ggn0lw6QMI32Nv0IoEwo0hFG_R6gXyHn2Y51twPMrZCv1tclnV33BcpjjebAqVxI2qSlxlOKvjZHnHBd42coOTPF4mslbbRiU4U6VqJE5VlslalonEa9nkVYpVicvd2sGShanWu-JFciuTyhlVdSprLMs8djTXqgJv6irdHe3O0bu-vZvtxXM9Q7tMNknuFdXXRdIzvoB7r_P7PQATDAgzIWVRz0lvfMN51EW0bVtuSM9balln-y6wIXfoPfAwpHvBI_DP0OVJ96Ed-3a80beH39PoHPX8-HD3uNeWAgnAnYw4bHDCmukwz5Pt9c9p-NFOT5qAXjLQxwz0cmBNAn3MQDPH-3LiWfeRP4Od9GwGOxrbDZM197o7DK8qfHp2_n4Yb34Nbs__1pxzwUgkhP8PQqiNbA</recordid><startdate>20151101</startdate><enddate>20151101</enddate><creator>袁益让 程爱杰 羊丹平 李长峰</creator><general>Elsevier Ltd</general><general>Institute of Mathematics, Shandong University, Jinan 250100, China%Institute of Mathematics, Shandong University, Jinan 250100, China</general><general>School of Economics, Shandong University, Jinan 250100, China</general><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>~WA</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>2B.</scope><scope>4A8</scope><scope>92I</scope><scope>93N</scope><scope>PSX</scope><scope>TCJ</scope></search><sort><creationdate>20151101</creationdate><title>THEORY AND APPLICATION OF FRACTIONAL STEP CHARACTERISTIC FINITE DIFFERENCE METHOD IN NUMERICAL SIMULATION OF SECOND ORDER ENHANCED OIL PRODUCTION</title><author>袁益让 程爱杰 羊丹平 李长峰</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c370t-d3fb00474014c8249f61fc3c669d92aaa6c1f6a2e4defd5e86004b06882b76903</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>65M06</topic><topic>65N30</topic><topic>76M25</topic><topic>76S05</topic><topic>application in actual oilfields</topic><topic>enhanced (chemical) oil production</topic><topic>optimal order l2 estimate</topic><topic>second-order implicit characteristic fractional step differences</topic><topic>three-dimensional porous coupled system</topic><topic>二阶</topic><topic>分数</topic><topic>应用</topic><topic>强化采油</topic><topic>数值模拟</topic><topic>有限差分法</topic><topic>特性</topic><topic>阶跃</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>袁益让 程爱杰 羊丹平 李长峰</creatorcontrib><collection>维普_期刊</collection><collection>中文科技期刊数据库-CALIS站点</collection><collection>维普中文期刊数据库</collection><collection>中文科技期刊数据库- 镜像站点</collection><collection>CrossRef</collection><collection>Wanfang Data Journals - Hong Kong</collection><collection>WANFANG Data Centre</collection><collection>Wanfang Data Journals</collection><collection>万方数据期刊 - 香港版</collection><collection>China Online Journals (COJ)</collection><collection>China Online Journals (COJ)</collection><jtitle>Acta mathematica scientia</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>袁益让 程爱杰 羊丹平 李长峰</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>THEORY AND APPLICATION OF FRACTIONAL STEP CHARACTERISTIC FINITE DIFFERENCE METHOD IN NUMERICAL SIMULATION OF SECOND ORDER ENHANCED OIL PRODUCTION</atitle><jtitle>Acta mathematica scientia</jtitle><addtitle>Acta Mathematica Scientia</addtitle><date>2015-11-01</date><risdate>2015</risdate><volume>35</volume><issue>6</issue><spage>1547</spage><epage>1565</epage><pages>1547-1565</pages><issn>0252-9602</issn><eissn>1572-9087</eissn><abstract>A kind of second-order implicit fractional step characteristic finite difference method is presented in this paper for the numerically simulation coupled system of enhanced （chemical） oil production in porous media. Some techniques, such as the calculus of variations, energy analysis method, commutativity of the products of difference operators, decomposition of high-order difference operators and the theory of a priori estimates are introduced and an optimal order error estimates in l^2 norm is derived. This method has been applied successfully to the numerical simulation of enhanced oil production in actual oilfields, and the simulation results ate quite interesting and satisfactory.</abstract><pub>Elsevier Ltd</pub><doi>10.1016/S0252-9602(15)30073-4</doi><tpages>19</tpages></addata></record> |
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| ispartof | Acta mathematica scientia, 2015-11, Vol.35 (6), p.1547-1565 |
| issn | 0252-9602 1572-9087 |
| language | eng |
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| source | Elsevier ScienceDirect Journals Complete; Alma/SFX Local Collection |
| subjects | 65M06 65N30 76M25 76S05 application in actual oilfields enhanced (chemical) oil production optimal order l2 estimate second-order implicit characteristic fractional step differences three-dimensional porous coupled system 二阶 分数 应用 强化采油 数值模拟 有限差分法 特性 阶跃 |
| title | THEORY AND APPLICATION OF FRACTIONAL STEP CHARACTERISTIC FINITE DIFFERENCE METHOD IN NUMERICAL SIMULATION OF SECOND ORDER ENHANCED OIL PRODUCTION |
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