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A wave propagation model with the Biot and the fractional viscoelastic mechanisms

查看全文 作　　者：Jiaming [1]YANG;Dinghui [1]YANG;Hongwei [2]HAN;Lingyun [3]QIU;Yuanfeng [2]CHENG 高影响力作者 机构地区：[1]Department of Mathematical Sciences,Tsinghua University,Beijing 100084,China;[2]Shengli Geophysical Research Institute of SINOPEC,Dongying 257000,China;[3]Yau Mathematical Sciences Center,Tsinghua University,Beijing 100084,China高影响力机构 出　　处：《Science China Earth Sciences》索引2021年第64卷第3期,共13页高影响力期刊 基　　金：the National Natural Science Foundation of China(Grant Nos.91730306 and 41390452);the Shengli Oilfield Company(Grant No.30200020-18ZC0613-0030)。 摘　　要：Energy loss in porous media containing fluids is typically caused by a variety of dynamic mechanisms.In the Biot theory,energy loss only includes the frictional dissipation between the solid phase and the fluid phase,resulting in underestimation of the dispersion and attenuation of the waves in the low frequency range.To develop a dynamic model that can predict the high dispersion and strong attenuation of waves at the seismic band,we introduce viscoelasticity into the Biot model and use fractional derivatives to describe the viscoelastic mechanism,and finally propose a new wave propagation model.Unlike the Biot model,the proposed model includes the intrinsic dissipation of the solid frame.We investigate the effects of the fractional order parameters on the dispersion and attenuation of the P-and S-waves using several numerical experiments.Furthermore,we use several groups of experimental data from different fluid-saturated rocks to testify the validity of the new model.The results demonstrate that the new model provides more accurate predictions of high dispersion and strong attenuation of different waves in the low frequency range. 关 键 词：Poroviscoelasticity Wave propagation Dispersion and attenuation Fractional derivative
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