{"title":"积分非局部边界条件下稳态流动的计算模型","authors":"Altyngazy Karimov, Alexei Kavokin, Saule Kattabekova","doi":"10.1109/icecco53203.2021.9663789","DOIUrl":null,"url":null,"abstract":"A finite-difference numerical method for solving the model represented by the Poisson equation with integral non-local boundary conditions is considered. The model describes the steady flow of fluid near the well under the condition of a known total flow both on the well contour and on the permeable part of the domain boundary. The model describes one of the possible situations in well-logged oil production. The problems of existence and uniqueness of the solution to this problem are discussed. Peaceman–Rachford type method used to construct a difference scheme.","PeriodicalId":331369,"journal":{"name":"2021 16th International Conference on Electronics Computer and Computation (ICECCO)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2021-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Computational model of stationary flow with integral nonlocal boundary conditions\",\"authors\":\"Altyngazy Karimov, Alexei Kavokin, Saule Kattabekova\",\"doi\":\"10.1109/icecco53203.2021.9663789\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A finite-difference numerical method for solving the model represented by the Poisson equation with integral non-local boundary conditions is considered. The model describes the steady flow of fluid near the well under the condition of a known total flow both on the well contour and on the permeable part of the domain boundary. The model describes one of the possible situations in well-logged oil production. The problems of existence and uniqueness of the solution to this problem are discussed. Peaceman–Rachford type method used to construct a difference scheme.\",\"PeriodicalId\":331369,\"journal\":{\"name\":\"2021 16th International Conference on Electronics Computer and Computation (ICECCO)\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-11-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2021 16th International Conference on Electronics Computer and Computation (ICECCO)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/icecco53203.2021.9663789\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2021 16th International Conference on Electronics Computer and Computation (ICECCO)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/icecco53203.2021.9663789","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Computational model of stationary flow with integral nonlocal boundary conditions
A finite-difference numerical method for solving the model represented by the Poisson equation with integral non-local boundary conditions is considered. The model describes the steady flow of fluid near the well under the condition of a known total flow both on the well contour and on the permeable part of the domain boundary. The model describes one of the possible situations in well-logged oil production. The problems of existence and uniqueness of the solution to this problem are discussed. Peaceman–Rachford type method used to construct a difference scheme.