A Discussion on the Formula Construction of the BISQ Model
CUI Zhi-Wen** , WANG Ke-Xie
Department of Acoustics and Microwave Physics, College of Physics, Jilin University, Changchun 130012
Abstract :The formula construction of the unified model with the squirt and the Biot mechanism, i.e. the BISQ model [Geophysics 58 (1993) 524], is discussed. The inconsistent formula construction caused by the self-contradictions of key assumptions is pointed out and demonstrated. Once the deformation of the solid skeleton is assumed to be in the uniaxial mode, the deformation of pore fluid is not able to be non-uniaxial at all, but must be uniaxial. Therefore, the expected results in the BISQ model's paper are doubtful and this model needs to be improved. A combination of the two mechanisms simultaneously in theory is significant and still needs more research.
收稿日期: 2012-02-27
出版日期: 2012-10-01
:
43.20.Bi
(Mathematical theory of wave propagation)
43.20.Jr
(Velocity and attenuation of elastic and poroelastic waves)
91.60.Lj
(Acoustic properties)
[1] Biot M A 1956 J. Acoust. Soc. Am. 28 168 [2] Biot M A 1956 J. Acoust. Soc. Am. 28 179 [3] Biot M A 1962 J. Appl. Phys. 33 1482 [4] Dvorkin J and Nur A 1993 Geophysics 58 524 [5] Dvorkin J, Nolen-Hoeksema R and Nur A 1994 Geophysics 59 428 [6] Parra J O 1997 Geophysics 62 309 [7] Parra J O 2000 Geophysics 65 202 [8] Yang D H and Zhang Z J 2002 Wave Motion 35 223 [9] Diallo M S and Appel E 2000 J. Appl. Geophys. 44 313 [10] Diallo M S 2003 Wave Motion 35 223 [11] Cheng Y F, Yang D H and Yang H Z 2002 Chin. Phys. Lett. 19 445 [12] Nie J X, Yang D H and Yang H Z 2004 Chin. Phys. Lett. 21 572 [13] Cui Z W, Wang K X, Cao Z L and Hu H S 2004 Acta Phys. Sin. 53 3083 (in Chinese) [14] Nie J X and Yang D H 2008 Chin. Phys. Lett. 25 3079 [15] Li H X and Tao C H 2009 Acta Phys. Sin. 58 2836 (in Chinese) [16] Cui Z W, Liu J X, Wang C X and Wang K X 2010 Acta Phys. Sin. 59 8655 (in Chinese) [17] Zhang X W, Wang D L, Wang Z J and Hao Q 2010 Chin. J. Geophys. 53 2452 [18] Yang K D, Song G J and Li J S 2011 Chin. J. Geophys. 54 1348 [19] Marketos G and Best A I 2010 J. Geophys. Res. 115 B06209 [20] Tang X M 2011 Sci. Chin. Earth. Sci. 41 784 [21] Gurevich and Lopatnikov 1995 Geophys. J. Int. 121 913
[1]
. [J]. 中国物理快报, 2018, 35(8): 84301-.
[2]
. [J]. 中国物理快报, 2017, 34(7): 74302-.
[3]
. [J]. 中国物理快报, 2015, 32(12): 124304-124304.
[4]
. [J]. 中国物理快报, 2015, 32(09): 94301-094301.
[5]
. [J]. 中国物理快报, 2014, 31(09): 94302-094302.
[6]
. [J]. 中国物理快报, 2014, 31(06): 64301-064301.
[7]
. [J]. 中国物理快报, 2014, 31(05): 54301-054301.
[8]
. [J]. 中国物理快报, 2013, 30(12): 124303-124303.
[9]
. [J]. Chin. Phys. Lett., 2012, 29(12): 124301-124301.
[10]
. [J]. 中国物理快报, 2012, 29(10): 100602-100602.
[11]
DAI Yu-Rong1 , DING De-Sheng2,3** . Further Notes on the Gaussian Beam Expansion [J]. 中国物理快报, 2012, 29(2): 24301-024301.
[12]
FAN Li**;ZHANG Shu-Yi;ZHANG Hui
. Transmission Characteristics in Tubular Acoustic Metamaterials Studied with Fluid Impedance Theory [J]. 中国物理快报, 2011, 28(10): 104301-104301.
[13]
LIU Wei;YANG Jun. A Simple and Accurate Method for Calculating the Gaussian Beam Expansion Coefficients [J]. 中国物理快报, 2010, 27(12): 124301-124301.
[14]
LIANG Bin;ZOU Xin-Ye;CHENG Jian-Chun. Phase Transition in Acoustic Localization in a Soft Medium Permeated with Air Bubbles [J]. 中国物理快报, 2009, 26(2): 24301-024301.
[15]
ZHANG Qin-Lei;YANG Guang-Can. Experimental Investigation of Energy Level Dynamics in luminium Blocks with Temperature Distribution [J]. 中国物理快报, 2008, 25(8): 2961-2964.