engleski

Improvements in application of Simpson’s and trapezoidal formulas for volume calculations of subsurface structures

In nature, most of the subsurface geological structures have an asymmetric shape. To estimate the 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. Differences between volume calculations obtained by trapezoidal and Simpson formulas mostly are not significant. Larger number of sections generally leads 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 number of sections is odd, the combination of Simpson's formula for “n-1" sections, trapezoidal for “n-th” section and top formulas for the rest is appropriate.

Simpson’s and trapezoidal formulas ; volume calculations ; subsurface

Bronze medal awarded on international exhibition of innovations INOVA 2018, Zagreb.