{"title":"带电有损介质中直流势场的建模方法","authors":"Jinghe Li, Zhanxiang He, Hanying Bai","doi":"10.1093/jge/gxad065","DOIUrl":null,"url":null,"abstract":"Abstract Numerical modeling of the direct current (DC) potential field for the mise-a-la-masse (MALM) method traditionally depends on the specific source under loss-free dielectric consideration. In this paper, we propose a numerical technique for modeling DC potential fields in charged lossy dielectric media. A numerical solver of charged current transportation is first presented using finite different method, then the DC potential is integrated from all unit current elements with the Legendre function polynomial. A new preconditioner is also proposed for MALM surveying to reduce the condition number to accurately solve the equation. This new technique is verified through comparisons with numerical cases and field surveys. The basic problem formulation is general, but it is directly applicable in MALM surveying as a geophysical technique where the DC potential produced by charged lossy dielectric media is of interest.","PeriodicalId":54820,"journal":{"name":"Journal of Geophysics and Engineering","volume":"4 1","pages":"0"},"PeriodicalIF":1.6000,"publicationDate":"2023-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A method for modeling DC potential fields in charged lossy dielectric media\",\"authors\":\"Jinghe Li, Zhanxiang He, Hanying Bai\",\"doi\":\"10.1093/jge/gxad065\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract Numerical modeling of the direct current (DC) potential field for the mise-a-la-masse (MALM) method traditionally depends on the specific source under loss-free dielectric consideration. In this paper, we propose a numerical technique for modeling DC potential fields in charged lossy dielectric media. A numerical solver of charged current transportation is first presented using finite different method, then the DC potential is integrated from all unit current elements with the Legendre function polynomial. A new preconditioner is also proposed for MALM surveying to reduce the condition number to accurately solve the equation. This new technique is verified through comparisons with numerical cases and field surveys. The basic problem formulation is general, but it is directly applicable in MALM surveying as a geophysical technique where the DC potential produced by charged lossy dielectric media is of interest.\",\"PeriodicalId\":54820,\"journal\":{\"name\":\"Journal of Geophysics and Engineering\",\"volume\":\"4 1\",\"pages\":\"0\"},\"PeriodicalIF\":1.6000,\"publicationDate\":\"2023-09-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Geophysics and Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1093/jge/gxad065\",\"RegionNum\":3,\"RegionCategory\":\"地球科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"GEOCHEMISTRY & GEOPHYSICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Geophysics and Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1093/jge/gxad065","RegionNum":3,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"GEOCHEMISTRY & GEOPHYSICS","Score":null,"Total":0}
A method for modeling DC potential fields in charged lossy dielectric media
Abstract Numerical modeling of the direct current (DC) potential field for the mise-a-la-masse (MALM) method traditionally depends on the specific source under loss-free dielectric consideration. In this paper, we propose a numerical technique for modeling DC potential fields in charged lossy dielectric media. A numerical solver of charged current transportation is first presented using finite different method, then the DC potential is integrated from all unit current elements with the Legendre function polynomial. A new preconditioner is also proposed for MALM surveying to reduce the condition number to accurately solve the equation. This new technique is verified through comparisons with numerical cases and field surveys. The basic problem formulation is general, but it is directly applicable in MALM surveying as a geophysical technique where the DC potential produced by charged lossy dielectric media is of interest.
期刊介绍：
Journal of Geophysics and Engineering aims to promote research and developments in geophysics and related areas of engineering. It has a predominantly applied science and engineering focus, but solicits and accepts high-quality contributions in all earth-physics disciplines, including geodynamics, natural and controlled-source seismology, oil, gas and mineral exploration, petrophysics and reservoir geophysics. The journal covers those aspects of engineering that are closely related to geophysics, or on the targets and problems that geophysics addresses. Typically, this is engineering focused on the subsurface, particularly petroleum engineering, rock mechanics, geophysical software engineering, drilling technology, remote sensing, instrumentation and sensor design.
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