Sammendrag
A statistical methodology was presented for interpreting dynamic-to-static relationships. Respecting the importance of the Young’s modulus in seismic geomechanics, as case study was performed on the dynamic-to-static Young’s modulus conversion. To this end, six core samples from the studied oilfield were selected and in-situ stress curves were obtained. Next, in order to obtain static properties of the selected rocks, rock mechanics test were carried out under reservoir condition. In the same way, dynamic test was further performed using ultrasonic in the laboratory. Once finished with obtaining the static and dynamics values, simple linear regression and forward and backward stepwise multiple linear regressions were developed. Then empirical equations were developed for obtaining static Young’s modulus based on dynamic Young’s modulus, density, and porosity. Next, the developed formulations were interpreted by the analysis of variance (ANOVA). The results showed that, due to the small sample size, the regression analysis alone could not provide significant relationships, highlighting the important roles of other statistical methods (e.g., F-test and t-test) in the reliability evaluation of the relationships. The findings of the present article provide a methodology for obtaining regression-based relationships for seismic geomechanics and reservoir modelling applications, especially where limited core samples are available.
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