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Chin. Phys. B, 2020, Vol. 29(6): 064301    DOI: 10.1088/1674-1056/ab888b

Frequency-dependent reflection of elastic wave from thin bed in porous media

Hong-Xing Li(李红星)1, Chun-Hui Tao(陶春辉)2,3, Cai Liu(刘财)4, Guang-Nan Huang(黄光南)1, Zhen-An Yao(姚振岸)1
1 State Key Laboratory of Nuclear Resources and Environment, East China University of Technology, Nanchang 330013, China;
2 Key Laboratory of Submarine Geosciences, Second Institute of Oceanography, Ministry of Natural Resources, Hangzhou 310012, China;
3 School of Oceanography, Shanghai Jiao Tong University, Shanghai 200240, China;
4 Department of Geophysics, Jilin University, Changchun 130026, China
Abstract  The reflection of elastic wave from thin bed in porous media is important for oil and gas reservoir seismic exploration. The equations for calculating frequency-dependent reflection amplitude versus incident angle (FDAVA) from thin bed in porous media are obtained based on porous media theory. Some conclusions are obtained from numerical analysis, specifically, slow compression wave may be ignored when considering boundary conditions in most situations; the dispersion of reflection from thin bed is much higher than that from thick layer and is periodic in frequency domain, which is affected by the thickness of thin bed, velocity, and incident angle; the reflection amplitude envelope in frequency domain decays exponentially, which is affected by the thickness of thin bed, attenuation, and incident angle; the reflection amplitude increases with thickness of thin bed increasing, and then it decreases when the thickness reaches to a quarter of wavelength.
Keywords:  frequency-dependent reflection      porous media      thin bed      reservoir  
Received:  15 January 2020      Revised:  31 March 2020      Accepted manuscript online: 
PACS:  43.20.Gp (Reflection, refraction, diffraction, interference, and scattering of elastic and poroelastic waves)  
  43.20.El (Reflection, refraction, diffraction of acoustic waves)  
  82.33.Ln (Reactions in sol gels, aerogels, porous media)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 41764006, 41364004, and 41504095), the Chinese Study Abroad Fund (Grant No. 201508360117), the National Key Research and Development Program of China (Grant No. 2018YFC0309901), and the COMRA Major Project, China (Grant No. DY135-S1-01-01).
Corresponding Authors:  Chun-Hui Tao     E-mail:

Cite this article: 

Hong-Xing Li(李红星), Chun-Hui Tao(陶春辉), Cai Liu(刘财), Guang-Nan Huang(黄光南), Zhen-An Yao(姚振岸) Frequency-dependent reflection of elastic wave from thin bed in porous media 2020 Chin. Phys. B 29 064301

[1] Meissner R and Meixner E 1969 Geophys. Prospect. 17 1
[2] Widess M B 1973 Geophysics 38 1176
[3] Kallweit R S 1982 Geophysics 47 1035
[4] Chung H M and Lawton D C 1995 Geophysics 60 223
[5] Liu Y and Schmitt D R 2003 Geophysics 68 1161
[6] Yang C, Wang Y and Wang Y H 2016 Geophysics 81 N31
[7] Lu Y F and Han Y P 2019 Chin. Phys. B 28 024202
[8] Gassmann F 1951 Geophysics 16 673
[9] Biot M A 1956 J. Acoust. Soc. Am. 28 168
[10] Biot M A 1956 J. Acoust. Soc. Am. 28 179
[11] Biot M A 1962 J. Acoust. Soc. Am. 34 1254
[12] Biot M A 1968 J. Acoust. Soc. Am. 44 1616
[13] Mavko G and Nur A 1975 J. Geophys. Res. 80 1444
[14] Mavko G and Nur A 1979 Geophysics 44 161
[15] White J E 1975 Geophysics 40 224
[16] Dvorkin J and Nur A 1993 Geophysics 58 524
[17] Johnson D L 2001 J. Acoust. Soc. Am. 110 682
[18] Berryman J G and Wang H F 2000 Int. J. Mech. Min. 37 63
[19] Pride S R, Berryman J G and Harris J M 2004 J. Geophys. Res.: Solid Earth 109 1
[20] Tao C H, Li H X, Deng X M, Zhou J P, Fu S S, Wilkens R H, Gu C H and He Y H 2010 Chin. Ocean Eng. 24 381
[21] Ba J, Carcione J M, Cao H, Du Q Z, Yuan Z Y and Lu M H 2012 Chin. J. Geophys. 55 219 (in Chinese)
[22] Spano T J T 2009 Transp. Porous Med. 79 135
[23] Chichinina T I, Obolentseva I R and Ronquillo J G 2009 Transp. Porous Med. 79 1
[24] Li H X, Tao C H, Goloshubin G, Liu C, Shi S H, Huang G N, Zhang H, Zhang J and Zhang X F 2018 Phys. Acoust. 64 453
[25] Qiu H M, Xia T D, He S H and Chen W Y 2018 Acta Phys. Sin. 67 204302 (in Chinese)
[26] Silin D B and Goloshubin G M 2010 Transp. Porous. Med. 83 233
[27] Arora A and Tomar S K 2010 Transp. Porous Med. 85 375
[28] Carcione J M, Morency C and Santos J E 2010 Geophysics 75 229
[29] Li H X, Gui L F, Tao C H and Liu C 2015 Acta Petrolei. Sin. 36 1108 (in Chinese)
[30] Li H X, Tao C H, Liu C, Goloshubin G, Huang G N, Zhang H, Shi S H, Zhang J and Zhang X F 2019 J. Porous Media 22 435
[31] Wang T, Zheng K C, Jia Y P, Fu C L, Gong Z J and Wu W F 2017 Chin. Phys. B 26 074701
[32] Chapman M, Liu R and Li X Y 2005 Leading Edge 24 1120
[33] Chapman M, Liu E R and Li X Y 2006 Geophys. J. Int. 167 89
[34] Ren H T, Goloshubin G and Hilterman F J 2009 Geophysics 74 N41
[35] Silin D B, Korneev V A, Goloshubin G M and Patzek T W 2006 Transp. Porous Med. 62 283
[36] Quinta B 2012 J. Appl. Geophys. 82 119
[37] Chabyshova E and Goloshubin G M 2014 Geophysics 79 417
[38] Guo Z Q, Liu C, Li X Y and Lan H T 2016 Chin. J. Geophys. 59 664 (in Chinese)
[39] Zhang Y, Wang H N, Tao H G and Yang S W 2012 Chin. J. Geophys. 55 2141 (in Chinese)
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