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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Main Authors: Tomislav Malvić, Rajna Rajić, Petra Slavinić, Kristina Novak Zelenika
Format: Article
Language:English
Published: University of Zagreb 2014-12-01
Series:Rudarsko-geološko-naftni Zbornik
Subjects:
Online Access:http://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=199041&lang=en
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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.
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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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