Study on the scales of heterogeneous geologic bodies in random media
Li Can-Ping1 and Liu Xue-Wei2
1. Laboratory of Ocean Remote Sensing and Information Technology, Guangdong Ocean University, Zhanjiang 524088, Guangdong, China.
2. School of Geophysics and Information Technology, China University of Geosciences (Beijing), Beijing 100083, China.
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.
This research is sponsored by the 973 Program (No. 2009CB219505) and the Talents Introduction Special Project of Guangdong Ocean University (No. 0812182).
Cite this article:
LI Can-苹,LIU Xue-Wei. Study on the scales of heterogeneous geologic bodies in random media[J]. APPLIED GEOPHYSICS, 2011, 8(4): 363-369.
2011, Vol. 8 
