Abstract：

　　In order to describe seismic energy transport in exploration fields full of small-scale heterogeneities, the acoustic radiative transfer theory in seismology is introduced into frequency zones of seismic exploration. In this paper, the acoustic radiative transfer theory based on Born scattering coefficients in 2-D random media are given, and the Monte-Carlo simulation is briefly presented to solve the radiative transfer equation. In order to verify the radiative transfer method, Monte-Carlo solutions of the radiative transfer equation are compared with finite difference solutions of the acoustic wave equation, and we find a good coincidence of the two theories. Meanwhile, the Monte-Carlo radiative transfer simulation costs less time than the finite difference simulation of acoustic wave equations. Thus, it is a good option to apply Monte-Carlo radiative transfer simulation to model the energy transport of seismic scattering waves in complex heterogeneous reservoirs. Furthermore, we use a grid search procedure based on Monte-Carlo radiative transfer simulation to infer the stochastic parameters - the correlation length and the fluctuation strength from the observed seismic scattering data acquired in the physical experiment. The estimated results agree with the true values of the physical sample, which indicate that the Monte-Carlo radiative transfer simulation can be used to invert the stochastic parameters of heterogeneous reservoirs.

Key words：Born scattering coefficient random medium radiative transfer theory Monte-Carlo simulation Received: 23 November 2016

Received： 23 November 2016

Corresponding Authors：MENG Xiangcui, mengxiangcui35105@163.com

Cite this article：MENG Xiangcui,WANG Shangxu,TANG Genyang等. Monte-Carlo radiative transfer simulation of acoustic waves in two-dimensional random media and it’s application[J]. Petroleum Science Bulletin, 2017, 2(2): 199-209.

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