| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
|
|
|
|
Analysis of the Attenuation Characteristics of an Elastic Wave Due to the Wave-Induced Fluid Flow in Fractured Porous Media |
| WANG Ding1,3**, WANG Li-Ji2, ZHANG Mei-Gen1 |
1Key Laboratory of Petroleum Resources Research, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029
2Key Laboratory of Middle Atmosphere and Global Environment Observation, Institute of Atmospheric Physics, Chinese Academy of sciences, Beijing 100029
3University of Chinese Academy of Sciences, Beijing 100049
|
|
| Cite this article: |
|
WANG Ding, WANG Li-Ji, ZHANG Mei-Gen 2014 Chin. Phys. Lett. 31 044301 |
|
|
|
|
Abstract A theoretical model is presented to describe the elastic wave propagation characteristics in porous media of periodically arranged fractures. The effects of fracture geometric parameters on a compressional wave (p-wave) are considered through analysis of the wave induced fluid flow (WIFF) process between the fractures and the background media. The diffusion equation in porous media is used to reveal how the entire diffusion process affects the wave propagation. When the thickness proportion of fractures tends to 0 and 1, the WIFF does not take place almost between fractures and background matrix porosity, and therefore the media elasticity modulus is perfectly elastic. When the fracture thickness fraction achieves a certain value, the peak of the attenuation curve reaches the maximum value at a particular frequency, which is controlled by the fluid mass conservation and stress continuity conditions on each fracture boundary. That is, the inter-coupling of fluid diffusion between the adjacent layers is important for waves attenuation. Physically speaking, the dissipation of a wave is associated with the fluid flux essentially.
|
|
|
Received: 19 November 2013
Published: 25 March 2014
|
|
| PACS: |
43.20.Hq
|
(Velocity and attenuation of acoustic waves)
|
| |
47.85.-g
|
(Applied fluid mechanics)
|
| |
92.05.Jn
|
(Ocean energy extraction)
|
|
|
|
|
|
[1] Biot M A 1956 J. Acoust. Soc. Am. 28 168
[2] Biot M A 1962 J. Appl. Phys. 33 1482
[3] Norris A N 1993 J. Acoust. Soc. Am. 94 359
[4] White J E 1975 Geophysics 40 224
[5] Brajanovski M, Gurevich B and Schoenberg M 2005 Geophys. J. Int. 163 372
[6] Müller T M, Gurevich B and Lebedev M 2010 Geophysics 75 A147
[7] Dvorkin J, Mavko G and Nur A 1995 Geophysics 60 97
[8] Pride S R, Berryman J G and Harris J M 2004 J. Geophys. Res. 109 B01201
[9] Hudson J A, Liu E R and Crampin S 1996 Geophys. J. Int. 124 105
[10] Nie J X, Yang D H and Yang H Z 2004 Chin. Phys. Lett. 21 572
[11] Gurevich B, Zyrianov V B and Lopatnikov S L 1997 Geophys. J. Int. 62 319
[12] Müller T M, Gurevich B and Shapiro S A 2008 Adv. Geophys. 50 123
[13] Gurevich B, Brajanovski M and Galvin R J 2009 Geophys. Prospect. 57 225
[14] White J E, Mikhaylova N G and Lyakhovitskiy F M 1976 Phys. Solid Earth. 11 654
[15] Pride S R and Masson Y J 2006 Phys. Rev. Lett. 97 184301
[16] Pride S R 2005 Hydrogeophysics (Netherlands: Springer)
[17] Kozlov E 2007 Geophysics 72 SM281
[18] Grochau M and Gurevich B 2009 Geophys. Prospect. 57 75
[19] Nelson R A 1985 Geologic Analysis of Naturally Fractured Reservoirs (Houston: Gulf)
[20] Snow D T 1969 Water. Resources Res. 5 1273
[21] Chapman M 2003 Geophys. Prospect. 51 369
[22] Müller T B and Rother E 2006 Geophys. Res. Lett. 33 L16305
[23] Biot M A 1941 J. Appl. Phys. 12 155
[24] Gassmann F 1951 Viertel. Naturforsch. Ges. Zürich. 96 1
[25] Johnson D L 2001 J. Acoust. Soc. Am. 110 682
[26] Saar M O and Manga M 1999 Geophys. Res. Lett. 26 111
[27] Costa A 2006 Geophys. Res. Lett. 33 L02318
[28] Brajanovski M, Müller T B and Gurevich B 2006 Geophys. J. Int. 166 574 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
