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DOI10.1029/2019JB018693
Effective Fluid Bulk Modulus in the Partially Saturated Rock and the Amplitude Dispersion Effects
Rozhko A.Y.
发表日期2020
ISSN21699313
卷号125期号:3
英文摘要Frequency dispersion is a well-known effect in geophysics, which means that waves of different wavelengths propagate at different velocities. Amplitude dispersion is a less-known effect, which means that waves of different amplitudes propagate at different velocities. Herewith, we consider the alteration of the interfacial energy during wave-induced two-phase fluid flow in a partially saturated rock and demonstrate that this leads to a nonlinear amplitude dispersion effect. When the wave amplitude is small, seismic waves cause bending of the interface menisci between immiscible fluids at the pore scale. However, when the wave amplitude is sufficiently large, the interface menisci will slip at the pore scale, causing attenuation of the elastic energy by the contact line friction mechanism. At the zero frequency limit, all viscous dissipation models predict zero attenuation of the elastic wave energy, while this approach predicts a nonzero attenuation due to a static contact angle hysteresis effect. Herein, we extend the Gassmann's theory with three extra terms, which can be obtained from standard laboratory tests: pore-size distribution and interfacial tension between immiscible fluids and rock wettability (advancing and receding contact angles). We derive closed-form analytical expressions predicting the effective fluid modulus in partially saturated rock, which falls between Voigt and Reuss averages. Next, we demonstrate that the nonlinear amplitude dispersion effect leads to energy transfer between different frequencies. This may explain the low-frequency microtremor anomalies, frequently observed above hydrocarbon reservoirs, when the low-frequency energy of ocean waves (0.1–1 Hz) is converted to higher frequencies (2–6 Hz) by partially saturated reservoirs. ©2020. The Authors.
英文关键词Gassmann's theory; interfacial energy; low-frequency attenuation; nonlinear energy transfer; partial saturation
语种英语
来源期刊Journal of Geophysical Research: Solid Earth
文献类型期刊论文
条目标识符http://gcip.llas.ac.cn/handle/2XKMVOVA/187933
作者单位Equinor ASA, Stavanger, Norway; Department of Energy Resources, University of Stavanger, Stavanger, Norway
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Rozhko A.Y.. Effective Fluid Bulk Modulus in the Partially Saturated Rock and the Amplitude Dispersion Effects[J],2020,125(3).
APA Rozhko A.Y..(2020).Effective Fluid Bulk Modulus in the Partially Saturated Rock and the Amplitude Dispersion Effects.Journal of Geophysical Research: Solid Earth,125(3).
MLA Rozhko A.Y.."Effective Fluid Bulk Modulus in the Partially Saturated Rock and the Amplitude Dispersion Effects".Journal of Geophysical Research: Solid Earth 125.3(2020).
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