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Application of Simpson´s and trapezoidal formulas for volume calculation of subsurface structures - recommendations


Pavičić, Josipa; Andreić, Željko; Malvić, Tomislav; Rajić, Rajna; Velić, Josipa
Application of Simpson´s and trapezoidal formulas for volume calculation of subsurface structures - recommendations // Mathematical methods and terminology in geology 2018 / Malvić, Tomislav ; Velić, Josipa ; Rajna, Rajić (ur.).
Zagreb: Rudarsko-geološko-naftni fakultet Sveučilišta u Zagrebu, 2018. str. 15-26 (predavanje, međunarodna recenzija, cjeloviti rad (in extenso), znanstveni)


Naslov
Application of Simpson´s and trapezoidal formulas for volume calculation of subsurface structures - recommendations

Autori
Pavičić, Josipa ; Andreić, Željko ; Malvić, Tomislav ; Rajić, Rajna ; Velić, Josipa

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
Mathematical methods and terminology in geology 2018 / Malvić, Tomislav ; Velić, Josipa ; Rajna, Rajić - Zagreb : Rudarsko-geološko-naftni fakultet Sveučilišta u Zagrebu, 2018, 15-26

ISBN
978-953-6923-40-3

Skup
2nd Croatian scientific congress from geomathematics and terminology in geology

Mjesto i datum
Zagreb, Hrvatska, 6.10.2018

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Anticline, numerical integration, trapezoidal rule, Simpson´s rule

Sažetak
In nature most of the subsurface geological structures have an asymmetric shape. To estimate volume of such structures numerical integration is used. Two methods have been analysed for volume estimation of geological structures: trapezoidal and Simpson´s method. Both methods estimate the volume of the structure, because they have a certain error in the calculation. Two examples of the hypothetical hydrocarbon reservoirs are presented: massive and layered ones. Volume differences obtained by trapezoidal and Simpson formulas mostly are not high. Larger number of sections, generally, would lead to smaller differences between volumes calculated by trapezoidal and Simpson rules. In even number of sections, the recommendation is to apply Simpson and top formulas. If no. of sections is odd, the combination of Simpson formula for sections, trapezoidal for -th section and top formulas for the rest is appropriate.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Geologija



POVEZANOST RADA


Projekt / tema
195-1951293-0237 - Stratigrafska i geomatematička istraživanja naftnogeoloških sustava u Hrvatskoj (Josipa Velić, )

Ustanove
Rudarsko-geološko-naftni fakultet, Zagreb

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Conference Proceedings Citation Index - Science (CPCI-S)