NUMERICAL INTEGRATION IN VOLUME CALCULATION OF IRREGULAR ANTICLINES
The volume of geological structures is often calculated by using the definite integral. Though in some cases the integral can be solved analytically, in practice we usually approximate its value by numerical integration techniques. The application of definite integral in volume calculation is illust...
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| Format: | Article |
| Language: | English |
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University of Zagreb
2014-12-01
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| Series: | Rudarsko-geološko-naftni Zbornik |
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| Online Access: | http://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=199041&lang=en |
| _version_ | 1827163485968007168 |
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| author | Tomislav Malvić Rajna Rajić Petra Slavinić Kristina Novak Zelenika |
| author_facet | Tomislav Malvić Rajna Rajić Petra Slavinić Kristina Novak Zelenika |
| author_sort | Tomislav Malvić |
| collection | DOAJ |
| description | The volume of geological structures is often calculated by using the definite integral. Though in some cases the integral can be solved analytically, in practice we usually approximate its value by numerical integration techniques. The application of definite integral in volume calculation is illustrated by two examples. The volume of Mount Fuji, the world-known “conic” geomorphological structure, is calculated by analytical integration. Two basic numerical integration methods, that is, the trapezoidal and Simpson’s rule are applied to subsurface hydrocarbon reservoir volume calculation, where irregular anticline is approximated by a frustum of a right circular cone. |
| first_indexed | 2024-03-12T19:18:36Z |
| format | Article |
| id | doaj.art-4d2e5a5978d34ff39766b5ce7bf5dbf7 |
| institution | Directory Open Access Journal |
| issn | 0353-4529 1849-0409 |
| language | English |
| last_indexed | 2025-03-21T01:01:28Z |
| publishDate | 2014-12-01 |
| publisher | University of Zagreb |
| record_format | Article |
| series | Rudarsko-geološko-naftni Zbornik |
| spelling | doaj.art-4d2e5a5978d34ff39766b5ce7bf5dbf72024-08-03T04:24:02ZengUniversity of ZagrebRudarsko-geološko-naftni Zbornik0353-45291849-04092014-12-0129118NUMERICAL INTEGRATION IN VOLUME CALCULATION OF IRREGULAR ANTICLINESTomislav Malvić0Rajna Rajić1Petra Slavinić2Kristina Novak Zelenika3Faculty of Mining, Geology and Petroleum Engineering, University of Zagreb, Pierottijeva 6, Zagreb, CroatiaFaculty of Mining, Geology and Petroleum Engineering, University of Zagreb, Pierottijeva 6, Zagreb, CroatiaStudent of Faculty of Geodesy, University of Zagreb, Kačićeva 26, Zagreb, CroatiaINA - Industrija nafte d.d., Šubićeva 29, Zagreb, CroatiaThe volume of geological structures is often calculated by using the definite integral. Though in some cases the integral can be solved analytically, in practice we usually approximate its value by numerical integration techniques. The application of definite integral in volume calculation is illustrated by two examples. The volume of Mount Fuji, the world-known “conic” geomorphological structure, is calculated by analytical integration. Two basic numerical integration methods, that is, the trapezoidal and Simpson’s rule are applied to subsurface hydrocarbon reservoir volume calculation, where irregular anticline is approximated by a frustum of a right circular cone.http://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=199041&lang=enirregular anticlinehydrocarbon reservoirFuji Mt.volumetrapezoidal ruleSimpson’s rule |
| spellingShingle | Tomislav Malvić Rajna Rajić Petra Slavinić Kristina Novak Zelenika NUMERICAL INTEGRATION IN VOLUME CALCULATION OF IRREGULAR ANTICLINES Rudarsko-geološko-naftni Zbornik irregular anticline hydrocarbon reservoir Fuji Mt. volume trapezoidal rule Simpson’s rule |
| title | NUMERICAL INTEGRATION IN VOLUME CALCULATION OF IRREGULAR ANTICLINES |
| title_full | NUMERICAL INTEGRATION IN VOLUME CALCULATION OF IRREGULAR ANTICLINES |
| title_fullStr | NUMERICAL INTEGRATION IN VOLUME CALCULATION OF IRREGULAR ANTICLINES |
| title_full_unstemmed | NUMERICAL INTEGRATION IN VOLUME CALCULATION OF IRREGULAR ANTICLINES |
| title_short | NUMERICAL INTEGRATION IN VOLUME CALCULATION OF IRREGULAR ANTICLINES |
| title_sort | numerical integration in volume calculation of irregular anticlines |
| topic | irregular anticline hydrocarbon reservoir Fuji Mt. volume trapezoidal rule Simpson’s rule |
| url | http://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=199041&lang=en |
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