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首页» 过刊浏览» 2017» Vol. 2» Issue (2) 199-209     DOI : 10.3969/j.issn.2096-1693.2017.02.019
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二维随机介质中的声波辐射传输蒙特卡洛数值模拟及应用
孟祥翠1, 2,王尚旭1, 2,唐跟阳1, 2,刘志远3
1 中国石油大学(北京)CNPC物探重点实验室, 北京 102249 2 中国石油大学(北京)油气资源与探测国家重点实验室, 北京 102249 3 中国石化石油勘探开发研究院, 北京 100083
Monte-Carlo radiative transfer simulation of acoustic waves in two-dimensional random media and it’s application
MENG Xiangcui1,2, WANG Shangxu1,2, TANG Genyang1,2, LIU Zhiyuan3
1 CNPC Key Lab of Geophysical exploration, China University of Petroleum-Beijing, Beijing 102249, China 2 State Key Laboratory of Petroleum Resource and Prospecting, China University of Petroleum-Beijing, Beijing 102249, China 3 Sinopec Petroleum Exploration and Production Research Institute, Beijing 100083, China

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摘要  为了模拟富含小尺度非均质体的勘探区内地震波能量的变化,本文将天然地震中的辐射传输理论引入到地震勘探频段内,给出了基于Born散射系数的二维声波辐射传输方程,并介绍了蒙特卡洛数值模拟的思路。为了检验基于Born散射系数的声波辐射传输蒙特卡洛方法的正确性和实用性,将辐射传输蒙特卡洛模拟的结果与声波方程有限差分模拟的结果进行对比。结果表明,辐射传输蒙特卡洛模拟的结果与声波有限差分模拟的结果基本吻合。同时,相比于声波方程有限差分数值模拟,辐射传输蒙特卡洛模拟的计算成本远小于声波有限差分数值模拟。因此,对于复杂的非均质储层,辐射传输蒙特卡洛模拟是一种有效的地震散射波能量建模方法。而且,对于物理模型实验观测到的地震散射波的数据,我们采用基于辐射传输蒙特卡洛模拟的网格扫描方法来估算非均匀介质的统计参数-相关长度和扰动强度。计算结果与物理模型的真实值基本吻合,表明辐射传输蒙特卡洛模拟可以被用来估算非均质储层的统计参数。
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关键词 : Born散射系数, 随机介质, 辐射传输理论, 蒙特卡洛模拟
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
收稿日期: 2016-11-23     
PACS:    
基金资助:国家重点基础研究发展计划项目(2013CB228600)以及国家自然科学基金(41304042)共同资助
通讯作者: 孟祥翠, mengxiangcui35105@163.com
引用本文:   
孟祥翠,王尚旭,唐跟阳,刘志远. 二维随机介质中的声波辐射传输蒙特卡洛数值模拟及应用[J]. 石油科学通报, 2017, 2(2): 199-209. MENG Xiangcui, WANG Shangxu, TANG Genyang, LIU Zhiyuan. Monte-Carlo radiative transfer simulation of acoustic waves in two-dimensional random media and it’s application. Petroleum Science Bulletin, 2017, 2(2): 199-209.
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