Attenuation methods for quantifying gas saturation in organic-rich shale and tight gas formations
Quantitative interpretation of waveform attenuation for determining petrophysical properties remains one of the most challenging problems associated with rock physics. In this study, we extract $P$- and $S$-wave attenuations from monopole and dipole waveforms by median-frequency shift and multi-frequency inversion methods, respectively. Two effective methods are then proposed to compute gas saturation in organic-rich shale and tight gas formations from the full-waveform sonic attenuations. Crossplots of the $P$-to-$S$ wave attenuation ratio ( Qp-1/ Qs-1) and core gas saturation show a positive linear correlation. The Qp-1/ Qs-1 and neutron-density porosity difference exhibit an identical log trend across different formations. The coincidence of these two different hydrocarbon indicators implies that the Qp-1/ Qs-1 is most sensitive to pore-fluid saturation and less affected by variations in lithology. In the first method, the core-calibrated Qp-1/ Qs-1 yields an accurate estimate of gas saturation. The second method is suited for the absence of core saturation data, which employs the probability distribution of Qp-1/ Qs-1 for the evaluation of gas saturation. Compared to conventional resistivity methods, the proposed attenuation method, as a non-electric approach, provides more accurate gas saturation prediction for low-resistivity reservoir rocks. Finally, we analyze the characteristics of attenuation-saturation relations in low porosity rocks and discuss the possible attenuation mechanisms.