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DOI10.1016/j.advwatres.2020.103633
Nonmonotonic traveling waves in an unsaturated medium induced by a solid force and fluid mass sources
Zhang Y.; Ping P.
发表日期2020
ISSN0309-1708
卷号142
英文摘要The traveling wave responses in an unsaturated medium induced by a solid force and fluid mass sources are derived in 3D Green's functions using the Dirac Delta function decompositions. The wave behaviors are described in pore fluid pressures and solid frame displacement along with fluctuations of capillary pressure in response to time variant fluid injections and solid force loadings. These solutions are numerically calculated and analyzed for unconsolidated sands as a function of water saturation as representative examples. Our results reveal and validate four wave modes, a fast compressional wave (P1), two slow compressional waves (P2 and P3), and a shear wave. The P1 wave and shear wave can be effectively observed. The slow waves with diffusive characters bear low amplitudes and low velocities. The traveling waves in the pore fluid pressures and solid displacement are sensitive to the different sources and the water saturation. The solid force induces the total stress perturbation while the fluid mass sources directly make the volume strains in the fluid phases. This fluid-solid coupling difference causes the distinct traveling wave signature contrasts in the pore-fluid and solid-frame response amplitudes and tendencies with water retention. For the variation of water saturation, the traveling wave shows a nonmonotonic feature. The fluctuation of capillary pressure exhibits a concave upward relationship, which can further interpret the changes of wave amplitude with water saturation. A solid force may enhance the fluctuation. However, for high water saturation, the interactive fluid-solid effect by the solid force may break the fluid contact due to the extremely compressible air. © 2020
关键词AirCapillarityCapillary tubesDelta functionsShear waves3D Green's functionCompressional wavesDirac delta functionFluid-solid couplingPore fluid pressureSlow compressional waveSolid displacementsUnconsolidated sandsShear flowamplitudecapillary pressurecompressiondecomposition analysisforceGreen functionpore pressureunsaturated medium
语种英语
来源机构Advances in Water Resources
文献类型期刊论文
条目标识符http://gcip.llas.ac.cn/handle/2XKMVOVA/131772
推荐引用方式
GB/T 7714
Zhang Y.,Ping P.. Nonmonotonic traveling waves in an unsaturated medium induced by a solid force and fluid mass sources[J]. Advances in Water Resources,2020,142.
APA Zhang Y.,&Ping P..(2020).Nonmonotonic traveling waves in an unsaturated medium induced by a solid force and fluid mass sources.,142.
MLA Zhang Y.,et al."Nonmonotonic traveling waves in an unsaturated medium induced by a solid force and fluid mass sources".142(2020).
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