{"title":"Elastic seepage in a fracture located in an oil or gas reservoir","authors":"Z.M. Nagaeva , V.Sh. Shagapov","doi":"10.1016/j.jappmathmech.2017.08.013","DOIUrl":null,"url":null,"abstract":"<div><p>Problems concerning the extraction of the fluid from an oil well under conditions of a constant pressure drop<span> or a constant flow rate are considered on the basis of a model describing a seepage flow in a fracture located in an oil or gas reservoir. Exact solutions are obtained and, on the basis of these solutions, the effect of the collecting characteristics of the reservoir and the fracture is analysed as well as the effect of the rheological properties of the saturating fluid on the evolution of the pressure in the fracture, the output from the oil well and the dynamics of the pressure in the oil well.</span></p></div>","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"81 3","pages":"Pages 214-222"},"PeriodicalIF":0.0000,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2017.08.013","citationCount":"11","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Pmm Journal of Applied Mathematics and Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0021892817300795","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 11
Abstract
Problems concerning the extraction of the fluid from an oil well under conditions of a constant pressure drop or a constant flow rate are considered on the basis of a model describing a seepage flow in a fracture located in an oil or gas reservoir. Exact solutions are obtained and, on the basis of these solutions, the effect of the collecting characteristics of the reservoir and the fracture is analysed as well as the effect of the rheological properties of the saturating fluid on the evolution of the pressure in the fracture, the output from the oil well and the dynamics of the pressure in the oil well.
期刊介绍：
This journal is a cover to cover translation of the Russian journal Prikladnaya Matematika i Mekhanika, published by the Russian Academy of Sciences and reflecting all the major achievements of the Russian School of Mechanics.The journal is concerned with high-level mathematical investigations of modern physical and mechanical problems and reports current progress in this field. Special emphasis is placed on aeronautics and space science and such subjects as continuum mechanics, theory of elasticity, and mathematics of space flight guidance and control.
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