Abstract
In order to study the scale characteristics of heterogeneities in complex media, a random medium is constructed using a statistical method and by changing model parameters (autocorrelation lengths a and b), the scales of heterogeneous geologic bodies in the horizontal and the vertical Cartesian directions may be varied in the medium. The autocorrelation lengths a and b represent the mean scale of heterogeneous geologic bodies in the horizontal and vertical Cartesian directions in the random medium, respectively. Based on this model, the relationship between model autocorrelation lengths and heterogeneous geologic body scales is studied by horizontal velocity variation and standard deviation. The horizontal velocity variation research shows that velocities are in random perturbation. The heterogeneous geologic body scale increases with increasing autocorrelation length. The recursion equation for the relationship between autocorrelation lengths and heterogeneous geologic body scales is determined from the velocity standard deviation research and the actual heterogeneous geologic body scale magnitude can be estimated by the equation.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Aki, K., 1969, Analysis of seismic coda of local earthquakes as scattered waves: J. Geophys. Res., 74, 615–631.
Aki, K., and Chouet, B., 1975, Origin of coda waves, source attenuation, and scattering effects: J. Geophys. Res., 80, 3322–3342.
Aki, K., and Richards, P. G., 1980, Quantitative seismology: Theory and methods: Vols. 1 and 2: W. H. Freeman and Comp., San Francisco.
Birch, F., 1961, The velocity of compressional waves in rocks to 10 kilobars, Part 2: J. Geophys. Res., 66, 2199–2224.
Chen, K. Y., 2011, Numerical simulation analysis of interwell elastic wave field scattering characteristics: Lithologic reservoirs (in Chinese), 23(3), 91–96.
Eaton, D. W., 1999, Weak elastic-wave scattering from massive sulfide orebodies: Geophysics, 64(1), 289–299.
Frankel, A., and Clayton, R. W., 1984, A finite-difference simulation of wave propagation in two-dimensional random media: Bull. Seis. Soc. Am., 74, 2167–2186.
Frankel, A., and Clayton, R. W., 1986, Finite-difference simulations of seismic scattering: Implications for the propagation of short-period seismic waves in the crust and models of crustal heterogeneity: J. Geophys. Res., 91, 6465–6489.
Hu, M. S., Pan, D. M., and Li, J. J., 2010, Numerical simulation scattered imaging in deep mines: Applied Geophysics, 7(3), 272–282.
Ikelle, L. T., Yung, S. K. and Daube. F., 1993, 2-D random media with ellipsoidal autocorrelation functions: Geophysics, 58(9), 1359–1372.
Korn, M., 1993, Seismic wave in random media: Journal of Applied Geophysics, 29, 247–269
Lei, L., Yin, X. Y., and Zhang, H. M., 2011, Forward modeling of seismic scattered wave field of porous medium: Special Oil and Gas Reservoirs (in Chinese), 18(3), 64–67.
Li, C. P., 2006, A study on corresponding relationship between scattering wave characteristics and heterogeneous geologic bodies: PhD thesis, China University of Geosciences (Beijing), Beijing.
Liu, T. H., 2010, High precision numerical modeling of seismic scattering wave: Chinese Journal of Engineering Geophysics (in Chinese), 7(6), 699–703.
Wu, R. S., Aki, K. and Richards, P., (Li, Y. C., and Lu, S. D., Translation), 1993, Scattering and attenuation of seismic waves: Seismic Press, Beijing.
Wu, R. S., and Aki, K., 1985, Scattering characteristics of elastic waves by an elastic heterogeneity: Geophysics, 50(4), 582–595.
Wu, R. S., 1985, Multiple scattering and energy transfer of seismic waves — Separation of scattering effect from intrinsic attenuation — Theoretical modeling: Geophys. J. R. Astron. Soc, 82, 57–80.
Wu, R. S., 1989, The perturbation method in elastic wave scattering: Pure Appl. Geophys., 131, 605–637.
Wu, H. Z., Fu, L. Y., and Lan, X. W., 2008, Analysis of reservoir heterogeneity based on random media models: Progress in Geophysics, 23(3), 793–799.
Xi, X., and Yao, Y., 2001, 2-D random media and wave equation forward modeling: Oil Geophysical Prospecting, 36(5), 546–552.
Xi, X., and Yao, Y., 2005, Non-stationary random medium model: Oil Geophysical Prospecting, 40(1), 71–75.
Zhang, G. Y., and Zeng, X. W., 2003, 2 — D random model for cracked media: Journal of National University of Defense Technology, 25(2), 1–4.
Zeng, Y. H., Su, F., and Aki, K., 1991, Scattering wave energy propagation in a random isotropic scattering medium: J. Geophys. Res., B, Solid Earth and Planets, 96(2), 607–619.
Author information
Authors and Affiliations
Additional information
This research is sponsored by the 973 Program (No. 2009CB219505) and the Talents Introduction Special Project of Guangdong Ocean University (No. 0812182).
Li Can-Ping received a PhD degree in earth exploration and information technology from China University of Geosciences in 2006. She is currently a lecturer at Guangdong Ocean University, China. Her research interests include the scattered wave seismic exploration and numerical modeling studies for marine gas hydrate exploration.
Rights and permissions
About this article
Cite this article
Li, CP., Liu, XW. Study on the scales of heterogeneous geologic bodies in random media. Appl. Geophys. 8, 363–369 (2011). https://doi.org/10.1007/s11770-011-0299-8
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11770-011-0299-8