Characteristics of high frequency ultra-acoustic wave spectrum and pore size in low-permeability sandstone

Tian, W., Wang, Y., Zhou, T., Xie, C., Guan, Z., Liu, H. and Xu, K., 2017. Characteristics of high-frequency ultra-acoustic wave spectrum and pore size in low-permeability sandstone. Journal of Seismic Exploration, 26: 399-410. In the study of reservoir geophysics, elastic models of porous medium are commonly used in investigating reservoir geophysics of underground formations. In this work, we investigated the effect of pressure and pore size on acoustic frequency response in low-permeability sandstone. For a 0.5-3 ws pulse width and 725-4351 psi pressure, the dominant frequency and the bandwidth of the transmitted waves are sensitive to the median throat radius, which suggests that the dominant frequency and bandwidth of acoustic log data may depend on microporosity. To characterize the differences between transmitted and incident waves, we defined a new parameter, the spectrum ratio Q, which is the ratio of dominant frequency and bandwidth. Experimental results suggest that the relation between Q and the median throat radius, i.e., the Q-R function, is linear. The spectrum ratio Q also varies linearly with pressure. By establishing relationship between high-frequency ultra-acoustic wave spectra and pore size in low-permeability sandstone, our work suggests acoustic logging data can possibly be used to infer sandstone pore throat size for laboratory studies. Expanded laboratory studies are justified.
- Aki, K., 1980. Scattering and attenuation of shear waves in the lithosphere. J. Geophys. Res., Part
- B: Solid Earth, 85(B11): 6496-6504.
- Ba, J., Yan, X.F., Chen, Z.Y., Xu, G.C., Bian, C.S., Cao, H. and Yao, F.C., 2013. Rock physics
- mode] and gas saturation inversion for heterogeneous gas reservoirs. Chin. J. Geophys.
- (Chin. Ed.), 56: 1696-1706.
- Berryman, J.G., 1980a. Long-wavelength propagation in composite elastic media. Il: Ellipsoidal
- 'inclusions. J. Acoust. Soc. Am., 68: 1820-1831.
- Berryman, J.G., 1980b. Long-wavelength propagation in composite elastic media. 1: Spherical
- inclusions. J. Acoust. Soc. Am., 68: 1809-1819.
- Berryman, J.G., 1980c. Confirmation of Biot’s theory. Appl. Phys. Lett., 37: 382-384.
- Berryman, J.G. and Wang, H.F., 2001. Dispersion in poroelastic systems. Phys. Rev. E., 64:
- Biot, M.A., 1962a. Generalized theory of acoustic propagation in perous dissipative media. J
- Acoust. Soc. Am., 34: 1254-1264.
- Biot, M.A., 1962b. Mechanics of deformation and acoustic propagation in porous media. J. Appl.
- Phys., 33: 1482-1489.
- HIGH-FREQUENCY WAVE SPECTRUM 409
- Bracewell, R.N. and Kahn, P.B., 1987. The Fourier Transform and its Applications. McGraw Hill,
- New York.
- Carcione, J.M., 2001. Energy balance and fundamental relations in dynamic anisotropic
- poro-viscoelasticity. Proc.: Mathemat., Phys. Engin. Sci., 457: 331-348.
- Carcione, J.M. and Seriani, G., 2001. Wave simulation in frozen porous media. J. Computat. Phys. ,
- 170: 676-695.
- Carcione, J.M., Cavallini, F., Santos, J.E., Ravazzoli, C.L. and Gauzellino, P.M., 2004. Wave
- propagation in partially saturated porous media: simulation of a second slow wave. Wave
- Motion, 39: 227-240.
- Cheng, Y.M., Lee, W.J. and McVay, D.A., 2005. Fast-Fourier-transform-based deconvolution for
- interpretation of pressure-transient-test data dominated by wellbore storage. SPE Reserv.
- Evaluat. Engin., 8: 224-239.
- Dutta, N.C. and Odé, H., 1979a. Attenuation and dispersion of compressional waves in fluid-filled
- porous rocks with partial gas saturation (White model)-Part II: Results. Geophysics, 44:
- 1789-1805.
- Dutta, N.C. and Odé, H., 1979b. Attenuation and dispersion of compressional waves in fluid-filled
- porous rocks with partial gas saturation (White model)-Part I: Biot theory. Geophysics, 44:
- 1777-1788.
- Dvorkin, J. and Nur, A., 1993. Dynamic poroelasticity: A unified model with the squirt and the Biot
- mechanisms. Geophysics, 58: 524-533.
- Geerits, T.W. and Kelder, O., 1997. Acoustic wave propagation through porous media: Theory and
- experiments. J. Acoust. Soc. Am., 102: 2495-2510.
- Hu, X., Li, C., Li, X. and Du, H., 2004. Experiments on acoustic characters of low porous and
- permeable sandstones. Well Logg. Technol., 28: 273-276.
- Li, C., Yu, C., Zhang, Y., Hu, X. and Shen, Y., 1999. Effects of center frequency shift on
- acoustic spectrum of rock and its application. Well Logg. Technol., 23: 253.
- Liu, T., Xu, M., Hu, D. and Geng, Z., 2000. Study on acoustic spectral characteristics of
- weathered granite. Geol. J. China Univ., 6: 588-594.
- Liu, Y. and Zhao, M., 2006. Research overview of the relation between ultrasonic parameters and
- stress on rock. J. Chongqing Jiaotong Univ., 25(3): 54-58.
- Mavko, G. and Jizba, D., 1991. Estimating grain-scale fluid effects on velocity dispersion in rocks.
- Geophysics, 56: 1940-1949.
- Mavko, G. and Jizba, D., 1994. The relation between seismic P- and S-wave velocity dispersion in
- saturated rocks. Geophysics, 59: 87-92.
- Mavko, G. and Nolen-Hoeksema, R., 1994. Estimating seismic velocities at ultrasonic frequencies
- in partially saturated rocks. Geophysics, 59: 252-258.
- Odé, H. and Dutta, N.C., 1980. Acoustic properties of fluid filled porous rocks. J. Acoust. Soc.
- Am., 68: S1.
- Plona, T.J., 1980. Observation of a second bulk compressional wave in a porous medium at
- ultrasonic frequencies. Appl. Phys. Lett., 36: 259-261.
- Pride, S., Berryman, J. and Harris, J., 2004. Seismic attenuation due to wave-induced flow. J.
- Geophys. Res. - Solid Earth, 109: B1201.
- Ramirez, R.W., 1985. The FFT. Fundamental and Concepts. Prentice-Hall, New Jersey.
- Santos, J.E., Ravazzoli, C.L., Gauzellino, P.M., Carcione, J.M. and Cavallini, F., 2004.
- Simulation of waves in poro-viscoelastic rocks saturated by immiscible fluids. Numerical
- evidence of a second slow wave. J. Computat. Acoust., 12: 1-21.
- Smith, T., Sondergeld, C. and Rai, C., 2003. Gassmann fluid substitutions: A tutorial. Geophysics,
- 68: 430-440.
- Spiess, V. and Mayer, L., 2003. Surface, subsurface, and deep imaging: Acquisition, processing,
- and interpretation of seismic and acoustic data. Energy Explor. Exploit., 21: 303-307.
- White, J.E., 1975a. Low-frequency seismic waves in fluid-saturated layered rocks. J. Acoust. Soc.
- Am., 57: 654-659.
- 410 TIAN, WANG, ZHOU, XIE, GUAN, LIU & XU
- White, J.E., 1975b. Computed seismic speeds and attenuation in rocks with partial gas saturation.
- Geophysics, 40: 224-232.
- Wu, X., Ling, K. and Liu, D., 2013. Deepwater-reservoir characterization by use of tidal signal
- extracted from permanent downhole pressure gauge. SPE Res. Evaluat. Engin., 16: 390-400.
- Xu, J., Liu, L., Wang, G. and Su, B., 2010. Research on stratigraphic division and sand bed
- correlation based on 'three instantaneous' attribute spectra of logging data. Energy Explor.
- Exploit., 28: 467-481.
- Yu, J., Guo, K., Yuan, X., Fu, W. and Xun, Z., 2010. Wavelet denoising of well logs and its
- geological performance. Energy Explor. Exploit., 28: 87-95.