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Why we use Simpson and trapezoidal rule for hydrocarbon reservoir volume calculation? (CROSBI ID 610757)

Prilog sa skupa u zborniku | izvorni znanstveni rad | međunarodna recenzija

Malvić, Tomislav ; Novak Zelenika, Kristina Why we use Simpson and trapezoidal rule for hydrocarbon reservoir volume calculation? // Geomathematics - from theory to practice / Cvetković, Marko ; Novak Zelenika, Kristina ; Geiger, Janos (ur.). Opatija: Hrvatski geološki institut, 2014. str. 37-44

Podaci o odgovornosti

Malvić, Tomislav ; Novak Zelenika, Kristina

engleski

Why we use Simpson and trapezoidal rule for hydrocarbon reservoir volume calculation?

The calculation of hydrocarbon reservoir volume using solid is numerical integration problem. It is solved by numerical integration of function f(x), i.e. integrand, continuous in interval a<=x<=b. It includes approximation of f(x) with polynomial functions, like trapezoidal of Simpson formulas. Smaller calculation error can be reached by using Simpson rule based onto Lagrange polynomial. These two rules are regularly used for reservoir volume calculation, where trap anticline is approximated by frustum right circular cone. The error can be decreased with lowering equidistance between integrated areas.

Reservoir; volume; Simpson rule; trapezoidal rule.

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Podaci o prilogu

37-44.

2014.

objavljeno

Podaci o matičnoj publikaciji

Geomathematics - from theory to practice

Cvetković, Marko ; Novak Zelenika, Kristina ; Geiger, Janos

Opatija: Hrvatski geološki institut

978-953-95130-8-3

Podaci o skupu

6th HR-HU and 17th HU geomathematical congress

predavanje

21.05.2014-23.05.2014

Opatija, Hrvatska

Povezanost rada

Geologija