{"title":"利用地面探地雷达数据测量储层电导率","authors":"M. Shishlenin, Aliya Shakhatova, T. Mirgalikyzy","doi":"10.32523/2306-6172-2023-11-1-124-138","DOIUrl":null,"url":null,"abstract":"In this article we consider a mathematical model of interpretation of a geoelectric section based on georadar data. One of the reasons preventing the spread of GPR technologies is the complexity of data interpretation, which requires the involvement of highly qualified specialists. In this regard, the study of the mathematical model and comparison with real georadar data expands the possibilities of interpretation of the georadar. To test the algorithm for solving the inverse problem of determining the electrical conductivity of layered media, data from exploration wells of the Karaganda coal basin field were used. We assume that the medium is horizontally layered and the electromagnetic pa- rameters of the medium depend only the depth. The problem of determining the conductivity is reduced to the problem of minimizing the cost functional by the gra- dient method. The gradient of the functional is calculated through the solution of the adjoint problem, the results of numerical calculations are given.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":" ","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"RECOVERING OF THE RESERVOIR CONDUCTIVITY BY MEASUREMENTS ON THE SURFACE USING GPR DATA\",\"authors\":\"M. Shishlenin, Aliya Shakhatova, T. Mirgalikyzy\",\"doi\":\"10.32523/2306-6172-2023-11-1-124-138\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article we consider a mathematical model of interpretation of a geoelectric section based on georadar data. One of the reasons preventing the spread of GPR technologies is the complexity of data interpretation, which requires the involvement of highly qualified specialists. In this regard, the study of the mathematical model and comparison with real georadar data expands the possibilities of interpretation of the georadar. To test the algorithm for solving the inverse problem of determining the electrical conductivity of layered media, data from exploration wells of the Karaganda coal basin field were used. We assume that the medium is horizontally layered and the electromagnetic pa- rameters of the medium depend only the depth. The problem of determining the conductivity is reduced to the problem of minimizing the cost functional by the gra- dient method. The gradient of the functional is calculated through the solution of the adjoint problem, the results of numerical calculations are given.\",\"PeriodicalId\":42910,\"journal\":{\"name\":\"Eurasian Journal of Mathematical and Computer Applications\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2023-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Eurasian Journal of Mathematical and Computer Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.32523/2306-6172-2023-11-1-124-138\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Eurasian Journal of Mathematical and Computer Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.32523/2306-6172-2023-11-1-124-138","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
RECOVERING OF THE RESERVOIR CONDUCTIVITY BY MEASUREMENTS ON THE SURFACE USING GPR DATA
In this article we consider a mathematical model of interpretation of a geoelectric section based on georadar data. One of the reasons preventing the spread of GPR technologies is the complexity of data interpretation, which requires the involvement of highly qualified specialists. In this regard, the study of the mathematical model and comparison with real georadar data expands the possibilities of interpretation of the georadar. To test the algorithm for solving the inverse problem of determining the electrical conductivity of layered media, data from exploration wells of the Karaganda coal basin field were used. We assume that the medium is horizontally layered and the electromagnetic pa- rameters of the medium depend only the depth. The problem of determining the conductivity is reduced to the problem of minimizing the cost functional by the gra- dient method. The gradient of the functional is calculated through the solution of the adjoint problem, the results of numerical calculations are given.
期刊介绍:
Eurasian Journal of Mathematical and Computer Applications (EJMCA) publishes carefully selected original research papers in all areas of Applied mathematics first of all from Europe and Asia. However papers by mathematicians from other continents are also welcome. From time to time Eurasian Journal of Mathematical and Computer Applications (EJMCA) will also publish survey papers. Eurasian Mathematical Journal publishes 4 issues in a year. A working language of the journal is English. Main topics are: - Mathematical methods and modeling in mechanics, mining, biology, geophysics, electrodynamics, acoustics, industry. - Inverse problems of mathematical physics: theory and computational approaches. - Medical and industry tomography. - Computer applications: distributed information systems, decision-making systems, embedded systems, information security, graphics.