Two-phase pore-fluid distribution in fractured media: acoustic wave velocity vs saturation
Duan Xi1,2 and Liu Xiang-Jun1
1. Department of Geosciences, Southwest Petroleum University, Chengdu 610500, China.
2. Department of Science, Southwest Petroleum University, Chengdu 610500, China.
Abstract：
The acoustic wave velocity varies with fluid saturation and pore-fluid distribution. We use a P-wave source and the staggered grid finite-difference method, with second-order accuracy in time and eighth-order accuracy in space, to simulate the acoustic wave field in a fractured medium that is saturated with a two-phase pore fluid (gas & water). Further, we analyze the variation of acoustic wave velocity with saturation for different pore-fluid distribution modes. The numerical simulation method is simple and yields accurate results.
. Two-phase pore-fluid distribution in fractured media: acoustic wave velocity vs saturation[J]. APPLIED GEOPHYSICS, 2018, 15(2): 311-317.
[1]
Berenger, J. P., 1994, A perfectly matched layer for absorption of electromagnetic waves: Journal of Computational Physics, 114(2), 185−200.
[2]
Birch, F., 1961, The velocity of compressional waves in rocks to 10 kb: Journal of Geophysical Research, 66, 2199−2224.
[3]
Cadoret, T., Mavko, G., and Zinszner, B., 1998, Fluid distribution effect on sonic attenuation in partially saturated limestones: Geophysics, 63(1), 154−160.
[4]
Carcione, J. M., and Picotti, S., 2006, P-wave seismic attenuation by slow-wave diffusion: effects of inhomogeneous rock properties: Geophysics, 71(3), O1−O8.
[5]
Chapman, M., Liu, E., and Li, X., 2006, The influence of fluid-sensitive dispersion and attenuation on AVO analysis: Geophysical Journal International, 167(1), 89−105.
[6]
Collino, F., and Tsogka, C., 2001, Application of the perfectly matched absorbing layer model to the linear elastodynamic problem in anisotropic heterogeneous media: Geophysics, 66(1), 294−307.
[7]
Domenico, S. N., 1974, Effects of water saturation on seismic reflectivity of sand reservois encased in shale: Geophysics, 39(6), 759−769.
[8]
Dong, L. G., Ma, Z. T., and Cao, J. Z., 2000, A study on stability of the staggered-grid high-order difference method of first-order elastic wave equation: Chinese Journal of Geophysics, 43(6), 856−864.
[9]
Levander, A. R., 1988, Fourth-order finite-difference P-SV seismograms: Geophysics, 53(11), 1425−1436.
[10]
Liu, X. F., Sun, J. M., and Wang, H. T., 2009, Numerical simulation of rock electrical properties based on digital cores: Applied Geophysics, 6(1), 1−7.
[11]
Masson, Y. J., and Pride, S. R., 2007, Poroelastic finite difference modeling of seismic attenuation and dispersion due to mesoscopic-scale heterogeneity: Journal of Geophysical Research, 112, B03204.
[12]
Müller, M. T., Gurevich, B., and Lebedev, M., 2010, Seismic wave attenuation and dispersion resulting from wave induced flow in porous rocks: a review: Geophysics, 75(5), 75A147−75A164.
[13]
Picotti, S., Carcione, J. M., Rubino, J. G., et al., 2010, A viscoelastic representation of wave attenuation in porous media: Computers & Geosciences, 36(1), 44−53.
[14]
Ricker, N., 1953, The form and laws of propagation of seismic wavelets: Geophysics, 18(1), 10−40.
[15]
Rubino, J. G., Ravazzoli, C. L., and Santos, J. E., 2009, Equivalent viscoelastic solids for heterogeneous fluid-saturated porous rocks: Geophysics, 74(1), N1−N13.
[16]
Spedding, P. L., and Spence, D. R., 1993, Flow regime in two-phase gas liquid flow: International Journal of Multiphase Flow, 19, 245−280.
[17]
Shi, G., Shen, W. L., and Yang, D. Q., 2003, The relationship of wave velocities with saturation and fluid distribution in pore space: Chinese Journal of Geophysics, 46(1), 138−142.
[18]
Toms, J., Müller, M. T., Ciz, R., et al., 2006, Comparative review of theoretical models for elastic wave attenuation and dispersion in partially saturated rocks: Soil Dynamics and Earthquake Engineering, 26(6/7), 548−565.
White, J. E., 1975, Computed seismic speeds and attenuation in rocks with partial gas saturation: Geophysics, 40(2), 224−232.
[21]
White, J. E., Mihailova, N., and Lyakhovitsky, F. M., 1975, Low-frequency seismic waves in fluid-saturated layered rocks: Journal of the Acoustical Society of America, 57(S1), S30.
[22]
Yu, S. P., 1996, Wide-band Ricker wavelet: Oil Geophysical Prospecting (In Chinese), 31(5), 605−615.
[23]
Zhao, A., Han, Y. F., Ren, Y. Y., et al., 2016, Ultrasonic method for measuring water holdup of low velocity and high-water-cut oil-water two-phase flow: Applied Geophysics, 13(1), 179−193.
[24]
Zhu, W., and Shan, R., 2016, Transmitted ultrasonic wave simulation and precision analysis of 3D digital cores: Applied Geophysics, 13(2), 375−381.
2018, Vol. 15 
