横观各向同性含液饱和多孔介质中应力波传播的特征分析

刘颖; 刘凯欣

横观各向同性含液饱和多孔介质中应力波传播的特征分析

刘颖^1,2,
刘凯欣¹

1.
北京大学力学与工程科学系, 北京100871;2.山东理工大学机械工程系, 山东淄博 255000

基金项目: 国家自然科学基金资助项目(10232040,0302002);国家杰出青年科学基金资助项目(10025212)

详细信息

作者简介:
刘颖(1973- ),女,山东潍坊人,讲师,博士(联系人.Tel:+86-10-62765844;E-mail:y_liu@mail.china.com).

中图分类号: O313
计量
- 文章访问数: 2772
- HTML全文浏览量: 148
- PDF下载量: 722
- 被引次数: 0
出版历程
- 收稿日期: 2002-12-03
- 修回日期: 2003-11-18
- 刊出日期: 2004-06-15

Characteristic Analysis for Stress Wave Propagation in Transversely Isotropic Fluid-Saturated Porous Media

LIU Ying^1,2,
LIU Kai-xin¹

1.
Department of Mechanics and Engineering Science, Peking University, Beijing 100871, P. R. China;

摘要

摘要: 根据广义特征理论，对横观各向同性含液饱和多孔介质中应力波传播特性进行了特征分析．给出了特征曲面的微分方程以及沿次特征线的相容条件，得到了波阵面的解析表达式．详细地讨论了应力波在横观各向同性含液饱和多孔介质中传播时，其速度曲面和波阵面的形状及性质．分析结果亦表明，纯固体中应力波传播的特征方程，是含液饱和多孔介质中应力波特征方程的特例．
- 特征分析 /
- 波阵面 /
- 含液饱和多孔介质 /
- 横观各向同性 /
- 应力波
Abstract: According to generalized characteristic theory, a characteristic analysis for stress wave propagation in transversely isotropic fluid-saturated porous media was performed. The characteristic differential equations and compatibility relations along bicharacteristics were deduced and the analytical expressions for wave surfaces were obtained. The characteristic and shapes of the velocity surfaces and wave surfaces in the transversely isotropic fluid-saturated porous media were discussed in detail. The results also show that the characteristic equations for stress waves in pure solids are particular cases of the characteristic equations for fluid-saturated porous media.
- characteristic analysis /
- wave surface /
- fluid-saturated porous medium /
- transversely isotropic /
- stress wave

HTML全文

参考文献(16)

[1]	Ting T C T. Characteristic forms of differential equations for wave propagation in nonlinear media[J].J Appl Mech,1981,48(4):743—748. doi: 10.1115/1.3157726
[2]	Biot M A. Theory of propagation of elastic waves in a fluid-saturated porous solid—Ⅰ:Low frequency range[J].J Acoust Soc Am,1956,28(2):168—178. doi: 10.1121/1.1908239
[3]	Biot M A. Theory of propagation of elastic waves in a fluid-saturated porous solid—Ⅱ:High frequency range[J].J Acoust Soc Am,1956,28(2):179—191. doi: 10.1121/1.1908241
[4]	Biot M A. Mechanics of deformation and acoustic propagation in porous dissipative media[J].J Appl Phys,1962,33(4):1482—1498. doi: 10.1063/1.1728759
[5]	Biot M A. Generalized theory of acoustic propagation in porous dissipative media[J].J Acoust Soc Am, 1962,34(9):1254—1264. doi: 10.1121/1.1918315
[6]	Plona T J. Observation of a second bulk compressional wave in porous medium at ultrasonic frequencies[J].Appl Phys Lett,1980,36(4):259—261. doi: 10.1063/1.91445
[7]	Auriault J L, Borne L,Chambon R. Dynamics of porous saturated media, checking of the generalized law of Darcy[J].J Acoust Soc Am,1985,77(5):1641—1950. doi: 10.1121/1.391962
[8]	Johnson D L. Theory of dynamic permeability and tortuosity in fluid-saturated porous media[J].J Fluid Mech,1987,176(3):379—402. doi: 10.1017/S0022112087000727
[9]	Schmitt P D. Acoustic multipole logging in transversely isotropic poroelastic formation[J].J Acoust Soc Am,1989,86(6):2397—2421. doi: 10.1121/1.398448
[10]	Sharma M D,Gogna M L. Wave propagation in anisotropic liquid-saturated porous solids[J].J Acoust Soc Am,1991,90(2):1068—1073. doi: 10.1121/1.402295
[11]	Liu Y, Liu K,Tanimura S. Wave propagation in transversely isotropic fluid-saturated poroelastic media[J].JSME International Journal,2002,45(3): 348—355. doi: 10.1299/jsmea.45.348
[12]	Simon B R,Zienkiewicz O C,Paul D K. An analytical solution for the transient response of saturated porous elastic solids[J].Intel J Numer Anal Mat,1984,8(4):381—398. doi: 10.1002/nag.1610080406
[13]	José M Carcione. Wave propagation in anisotropic, saturated porous media: plane-wave theory and numerical simulation[J].J Acoust Soc Am,1996,99(5): 2665—2666.
[14]	丁启财. 固体中的非线性波[M]. 北京：中国友谊出版社，1985.
[15]	Courant R,Hilbert D. Methods of Mathematical Physics,Ⅱ[M].New York:Wiley-Interscience,1962.
[16]	Moon F C. Wave surfaces due to impact on anisotropic plates[J].J Compos Mater,1972,6(1):62—79. doi: 10.1177/002199837200600106

施引文献

资源附件(0)

访问统计

计量

文章访问数: 2772
HTML全文浏览量: 148
PDF下载量: 722
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

留言板

横观各向同性含液饱和多孔介质中应力波传播的特征分析

作者简介:
刘颖(1973- ),女,山东潍坊人,讲师,博士(联系人.Tel:+86-10-62765844;E-mail:y_liu@mail.china.com).

计量

Characteristic Analysis for Stress Wave Propagation in Transversely Isotropic Fluid-Saturated Porous Media

计量

目录

留言板

横观各向同性含液饱和多孔介质中应力波传播的特征分析

作者简介: 刘颖(1973- ),女,山东潍坊人,讲师,博士(联系人.Tel:+86-10-62765844;E-mail:y_liu@mail.china.com).

计量

出版历程

Characteristic Analysis for Stress Wave Propagation in Transversely Isotropic Fluid-Saturated Porous Media

计量

出版历程

目录

作者简介:
刘颖(1973- ),女,山东潍坊人,讲师,博士(联系人.Tel:+86-10-62765844;E-mail:y_liu@mail.china.com).