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.
This research was supported by the National Natural Science Foundation of China (No. 51134004).
Cite this article:
. Two-phase pore-fluid distribution in fractured media: acoustic wave velocity vs saturation[J]. APPLIED GEOPHYSICS, 2018, 15(2): 311-317.
Berenger, J. P., 1994, A perfectly matched layer for absorption of electromagnetic waves: Journal of Computational Physics, 114(2), 185−200.
Birch, F., 1961, The velocity of compressional waves in rocks to 10 kb: Journal of Geophysical Research, 66, 2199−2224.
Cadoret, T., Mavko, G., and Zinszner, B., 1998, Fluid distribution effect on sonic attenuation in partially saturated limestones: Geophysics, 63(1), 154−160.
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.
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.
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.
Domenico, S. N., 1974, Effects of water saturation on seismic reflectivity of sand reservois encased in shale: Geophysics, 39(6), 759−769.
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.
Levander, A. R., 1988, Fourth-order finite-difference P-SV seismograms: Geophysics, 53(11), 1425−1436.
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.
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.
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.
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.
Ricker, N., 1953, The form and laws of propagation of seismic wavelets: Geophysics, 18(1), 10−40.
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.
Spedding, P. L., and Spence, D. R., 1993, Flow regime in two-phase gas liquid flow: International Journal of Multiphase Flow, 19, 245−280.
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.
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.