engleski

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

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.

anticline, numerical integration, trapezoidal rule, Simpson´s rule

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