搜索

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

气泡线性振动对含气泡水饱和多孔介质声传播的影响

郑广赢 黄益旺

引用本文:
Citation:

气泡线性振动对含气泡水饱和多孔介质声传播的影响

郑广赢, 黄益旺

Effect of linear bubble vibration on wave propagation in unsaturated porous medium containing air bubbles

Zheng Guang-Ying, Huang Yi-Wang
PDF
导出引用
  • 为了研究孔隙水含少量气泡时多孔介质中波的传播,本文在Biot模型的基础上,将孔隙水中气泡的体积振动融合到多孔介质的孔隙流体渗流连续性方程中,从而得到了考虑气泡体积振动的孔隙流体渗流连续性方程.在此基础上,根据气泡线性振动下气泡瞬时半径和介质背景压力的关系,以及多孔介质运动方程和流体介质运动方程,导出了受气泡影响下多孔介质位移矢量波动方程,建立了非水饱和多孔介质声速频散和衰减预报模型.气泡的存在增大了孔隙水的压缩率,导致含气泡水饱和多孔介质声速的降低.当声波频率等于气泡的共振频率时,在声波激励下,介质呈现高频散,且孔隙水中的气泡产生共振,吸收截面达到最大,使得多孔介质的声衰减也达到最大.文中数值分析验证了上述结论,表明了气泡含量、大小和驱动声场频率是影响声波在含少量气泡的水饱和多孔介质中传播的主要因素.
    Biot model has widely been used in geophysics, petroleum engineering, civil engineering, and ocean engineering since it was presented, and thus the research on the wave propagation in saturated porous medium has made much progress. However, fully saturated porous medium is rarely found in nature. Almost all the rocks or soils contain two kinds of fluids, such as gas and petroleum. Many researches have been done on the wave propagation in unsaturated porous medium. As is well known, a small volume of gas bubbles existing in a liquid can greatly change the velocity and attenuation of acoustic wave in the liquid. Evidences are beginning to be accumulated that the velocity and attenuation of acoustic wave in a saturated marine sediment can be affected by the gas bubbles existing in the saturated liquid. To investigate the sound propagation in a porous medium when the pore water contains a small number of air bubbles, in this paper we integrate the volume vibrations of bubbles in pore water into the continuity equation of pore-fluid filtration in porous medium based on Biot theory, so as to obtain the continuity equation of pore-fluid filtration with bubble volume vibration. On this basis, according to the relationship between the instantaneous radius of bubble and the background pressure of the medium under the linear vibration of bubble, as well as the equations of motion of the fluid medium and porous medium, a new displacement vector wave equation of porous medium under the influence of bubble is derived, which establishes the model for the sound velocity dispersion and attenuation prediction under the unsaturated porous medium. The presence of air bubbles increases the compressibility of pore fluid, which leads to the decrease in the sound velocity of the bubbly saturated porous medium. When the wave frequency equals the resonance frequency of the bubbles, the bubbles in pore water will produce resonance; the medium will present high dispersion and the velocity can greatly exceed the gas-free velocity. However, these have not been measured in field data. The absorption cross section of the air bubble can reach a maximum value, which leads to the maximum attenuation of the porous medium. It should be noted that the attenuation coefficient calculated with this model is related to the damping of the bubble motion due to radiation, thermal and internal friction, and the dissipation of the relative motion between the pore water and porous solid frame. The obtained numerical analysis is consistent with the above conclusion, which indicates that the volume concentration, the bubble size and the excitation frequency of the sound field are important parameters affecting the sound wave propagation in the saturated porous medium containing few bubbles.
      通信作者: 黄益旺, huangyiwang@hrbeu.edu.cn
    • 基金项目: 国家自然科学基金(批准号:11274078)资助的课题.
      Corresponding author: Huang Yi-Wang, huangyiwang@hrbeu.edu.cn
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11274078).
    [1]

    Biot M A 1956 J. Acoust. Soc. Am. 28 168

    [2]

    Biot M A 1956 J. Acoust. Soc. Am. 28 179

    [3]

    Domenico S N 1974 Geophysics 39 759

    [4]

    Domenico S N 1976 Geophysics 41 882

    [5]

    Domenico S N 1977 Geophysics 42 1339

    [6]

    Gassmann F 1951 Geophysics 16 673

    [7]

    Geertsma J 1961 Geophysics 26 169

    [8]

    Santos J E, Corbero J M, Jim D J 1990 J. Acoust. Soc. Am. 87 1428

    [9]

    Santos J E, Jim D J, Corbero J M, Lovera O M 1990 J. Acoust. Soc. Am. 87 1439

    [10]

    Ravazzoli C L, Santos J E, Carcione J M 2003 J. Acoust. Soc. Am. 113 1801

    [11]

    Carcione J M, Cavallini F, Santos J E, et al. 2004 Wave Motion 39 227

    [12]

    Li B Z 2007 Ph. D. Dissertation (Hangzhou:Zhejiang University) (in Chinese)[李保忠2007博士学位论文(杭州:浙江大学)]

    [13]

    Commander K W, Prosperetti A 1989 J. Acoust. Soc. Am. 85 732

    [14]

    Prosperetti A, Crum L A, Commander K W 1988 J. Acoust. Soc. Am. 83 502

    [15]

    Wang Y, Lin S Y, Zhang X L 2013 Acta Phys. Sin. 62 064304 (in Chinese)[王勇, 林书玉, 张小丽2013物理学报62 064304]

    [16]

    Wang Y, Lin S Y, Zhang X L 2014 Acta Phys. Sin. 63 034301 (in Chinese)[王勇, 林书玉, 张小丽2014物理学报63 034301]

    [17]

    Bedford A, Stem M 1983 J. Acoust. Soc. Am. 73 409

    [18]

    Anderson A L, Hampton L D 1980 J. Acoust. Soc. Am. 67 1865

    [19]

    Anderson A L, Hampton L D 1980 J. Acoust. Soc. Am. 67 1890

    [20]

    Stoll R D 1974 Acoustic Waves in Saturated Sediments (New York:Plenum Press) pp19-39

  • [1]

    Biot M A 1956 J. Acoust. Soc. Am. 28 168

    [2]

    Biot M A 1956 J. Acoust. Soc. Am. 28 179

    [3]

    Domenico S N 1974 Geophysics 39 759

    [4]

    Domenico S N 1976 Geophysics 41 882

    [5]

    Domenico S N 1977 Geophysics 42 1339

    [6]

    Gassmann F 1951 Geophysics 16 673

    [7]

    Geertsma J 1961 Geophysics 26 169

    [8]

    Santos J E, Corbero J M, Jim D J 1990 J. Acoust. Soc. Am. 87 1428

    [9]

    Santos J E, Jim D J, Corbero J M, Lovera O M 1990 J. Acoust. Soc. Am. 87 1439

    [10]

    Ravazzoli C L, Santos J E, Carcione J M 2003 J. Acoust. Soc. Am. 113 1801

    [11]

    Carcione J M, Cavallini F, Santos J E, et al. 2004 Wave Motion 39 227

    [12]

    Li B Z 2007 Ph. D. Dissertation (Hangzhou:Zhejiang University) (in Chinese)[李保忠2007博士学位论文(杭州:浙江大学)]

    [13]

    Commander K W, Prosperetti A 1989 J. Acoust. Soc. Am. 85 732

    [14]

    Prosperetti A, Crum L A, Commander K W 1988 J. Acoust. Soc. Am. 83 502

    [15]

    Wang Y, Lin S Y, Zhang X L 2013 Acta Phys. Sin. 62 064304 (in Chinese)[王勇, 林书玉, 张小丽2013物理学报62 064304]

    [16]

    Wang Y, Lin S Y, Zhang X L 2014 Acta Phys. Sin. 63 034301 (in Chinese)[王勇, 林书玉, 张小丽2014物理学报63 034301]

    [17]

    Bedford A, Stem M 1983 J. Acoust. Soc. Am. 73 409

    [18]

    Anderson A L, Hampton L D 1980 J. Acoust. Soc. Am. 67 1865

    [19]

    Anderson A L, Hampton L D 1980 J. Acoust. Soc. Am. 67 1890

    [20]

    Stoll R D 1974 Acoustic Waves in Saturated Sediments (New York:Plenum Press) pp19-39

  • [1] 孙冠文, 崔寒茵, 李超, 林伟军. 火星大气频散声速剖面建模方法及其对声传播路径的影响. 物理学报, 2022, 71(24): 244304. doi: 10.7498/aps.71.20221531
    [2] 侯森, 胡长青, 赵梅. 利用声衰减反演气泡群分布的方法研究. 物理学报, 2021, 70(4): 044301. doi: 10.7498/aps.70.20201385
    [3] 东蕊, 刘成成, 蔡勋兵, 邵留磊, 李博艺, 他得安. 超声背散射骨质评价中的频散衰减测量与补偿. 物理学报, 2019, 68(18): 184301. doi: 10.7498/aps.68.20190599
    [4] 王婷, 崔志文, 刘金霞, 王克协. 含少量气泡流体饱和孔隙介质中的弹性波. 物理学报, 2018, 67(11): 114301. doi: 10.7498/aps.67.20180209
    [5] 管义钧, 孙宏祥, 袁寿其, 葛勇, 夏建平. 近表面层黏性模量梯度变化的复合平板中激光热弹激发声表面波的传播特性. 物理学报, 2016, 65(22): 224201. doi: 10.7498/aps.65.224201
    [6] 杨瑞科, 李茜茜, 姚荣辉. 沙尘大气电磁波多重散射及衰减. 物理学报, 2016, 65(9): 094205. doi: 10.7498/aps.65.094205
    [7] 周聪, 王庆良. 考虑频散效应的一维非线性地震波数值模拟. 物理学报, 2015, 64(23): 239101. doi: 10.7498/aps.64.239101
    [8] 张俊杰. 基于波传播法的周期复合板振动带隙衰减特性研究. 物理学报, 2014, 63(22): 224302. doi: 10.7498/aps.63.224302
    [9] 王成会, 程建春. 弹性微管内气泡的非线性受迫振动. 物理学报, 2013, 62(11): 114301. doi: 10.7498/aps.62.114301
    [10] 马春光, 赵青, 罗先刚, 何果, 郑灵, 刘建卫. 毫米波在等离子体中的衰减特性研究. 物理学报, 2011, 60(5): 055201. doi: 10.7498/aps.60.055201
    [11] 满达夫, 那仁满都拉. 具有能量输入/输出的固体层中孤立波的传播及相互作用特性. 物理学报, 2010, 59(1): 60-66. doi: 10.7498/aps.59.60
    [12] 张景川, 袁萍, 欧阳玉花. 雷声在大气中传播的吸收衰减特性研究. 物理学报, 2010, 59(11): 8287-8392. doi: 10.7498/aps.59.8287
    [13] 赵学燕, 袁萍, 王杰, 申晓志, 郭逸潇, 乔红贞. 闪电消散过程等离子体温度衰减规律的理论研究. 物理学报, 2009, 58(5): 3243-3247. doi: 10.7498/aps.58.3243
    [14] 宫玉彬, 邓明金, 段兆云, 吕明毅, 魏彦玉, 王文祥. 衰减器对螺旋线慢波结构高频特性影响的理论研究. 物理学报, 2007, 56(8): 4497-4503. doi: 10.7498/aps.56.4497
    [15] 杜启振, 杨慧珠. 线性黏弹性各向异性介质速度频散和衰减特征研究. 物理学报, 2002, 51(9): 2101-2108. doi: 10.7498/aps.51.2101
    [16] 姜文红, 罗四维, 中村庆久. 写磁头对记录介质中输出信号的影响. 物理学报, 2002, 51(1): 167-170. doi: 10.7498/aps.51.167
    [17] 王海宇, 黄世华. 非指数光子回波衰减的理论研究. 物理学报, 1997, 46(6): 1108-1113. doi: 10.7498/aps.46.1108
    [18] 朱贤方, 水嘉鹏. 自由衰减法测量线性内耗的准确公式. 物理学报, 1996, 45(6): 1010-1015. doi: 10.7498/aps.45.1010
    [19] 钱祖文. 颗粒介质中声衰减的浓悬浮粒子理论及其应用. 物理学报, 1988, 37(1): 64-70. doi: 10.7498/aps.37.64
    [20] 赵玉芝, 冷忠昂. 反铁磁体中电磁振荡的频散和衰减. 物理学报, 1962, 18(3): 167-174. doi: 10.7498/aps.18.167
计量
  • 文章访问数:  4974
  • PDF下载量:  251
  • 被引次数: 0
出版历程
  • 收稿日期:  2016-06-20
  • 修回日期:  2016-09-07
  • 刊出日期:  2016-12-05

/

返回文章
返回