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《Chinese Journal of Geophysics》 2012-01
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Velocity dispersion and attenuation of P waves in partially-saturated rocks:Wave propagation equations in double-porosity medium

BA Jing1,Carcione J M2,CAO Hong1,DU Qi-Zhen3,YUAN Zhen-Yu3,LU Ming-Hui1 1 Geophysical Department,RIPED,PetroChina,Beijing 100083,China 2 Istituto Nazionale di Oceanografia e di Geofisica Sperimentale(OGS),Borgo Grotta Gigante 42c,34010 Sgonico,Trieste,Italy 3 School of Geosciences,China University of Petroleum(East China),Qingdao 266555,China  
The dynamic process of P-wave-induced local fluid flow in partially-saturated rocks is described by introducing Rayleigh's theory into poroelastic equations.The wave propagation equations in double-porosity medium(Biot-Rayleigh Equations) are derived from Hamilton's principle of classic mechanics.This thoery benefits from concise mathematical expressions and fewer coefficients.All relevant coefficients in expressions can be determined by measuring rock fundamental properties,so that the Biot-Rayleigh equations are physically realizable.Comparisons with the former theories in literature have preliminarily proved the validity of this theory.An analysis on the sandstone reservoirs of the three districts shows: seismic-band P waves are sensitive to gas in reservoir,but are not so efficient to quantitatively indicate gas saturation,and P-wave dispersion and attenuation are more significant in seismic band for lower porosity sandstones;the CH4-saturated and CO2-saturated reservoirs share the same 3rd type of AVO characteristics and can hardly be discriminated based on the traditional pre-stack analysis;the theory successfully predicts the trends and the multi-frequency-band experimental observed characteristics of P wave velocity variation in relation to water saturation and frequency.
【Fund】: 973项目(2007CB209505);; 自然科学基金项目(41104066);; 中国石油天然气集团公司“十二五”基础研究项目(2011A-3601);; 中国石油勘探开发研究院中青年创新基金(2010-A-26-01)资助
【CateGory Index】: P631.4
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