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二維隨機(jī)介質(zhì)中的聲波輻射傳輸蒙特卡洛數(shù)值模擬及應(yīng)用
孟祥翠1, 2,,王尚旭1, 2,,唐跟陽(yáng)1, 2,,劉志遠(yuǎn)3
1 中國(guó)石油大學(xué)(北京)CNPC物探重點(diǎn)實(shí)驗(yàn)室, 北京 102249 2 中國(guó)石油大學(xué)(北京)油氣資源與探測(cè)國(guó)家重點(diǎn)實(shí)驗(yàn)室, 北京 102249 3 中國(guó)石化石油勘探開(kāi)發(fā)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? 為了模擬富含小尺度非均質(zhì)體的勘探區(qū)內(nèi)地震波能量的變化,,本文將天然地震中的輻射傳輸理論引入到地震勘探頻段內(nèi),給出了基于Born散射系數(shù)的二維聲波輻射傳輸方程,,并介紹了蒙特卡洛數(shù)值模擬的思路,。為了檢驗(yàn)基于Born散射系數(shù)的聲波輻射傳輸蒙特卡洛方法的正確性和實(shí)用性,將輻射傳輸蒙特卡洛模擬的結(jié)果與聲波方程有限差分模擬的結(jié)果進(jìn)行對(duì)比,。結(jié)果表明,,輻射傳輸蒙特卡洛模擬的結(jié)果與聲波有限差分模擬的結(jié)果基本吻合。同時(shí),,相比于聲波方程有限差分?jǐn)?shù)值模擬,輻射傳輸蒙特卡洛模擬的計(jì)算成本遠(yuǎn)小于聲波有限差分?jǐn)?shù)值模擬,。因此,,對(duì)于復(fù)雜的非均質(zhì)儲(chǔ)層,輻射傳輸蒙特卡洛模擬是一種有效的地震散射波能量建模方法,。而且,,對(duì)于物理模型實(shí)驗(yàn)觀測(cè)到的地震散射波的數(shù)據(jù),我們采用基于輻射傳輸蒙特卡洛模擬的網(wǎng)格掃描方法來(lái)估算非均勻介質(zhì)的統(tǒng)計(jì)參數(shù)-相關(guān)長(zhǎng)度和擾動(dòng)強(qiáng)度,。計(jì)算結(jié)果與物理模型的真實(shí)值基本吻合,,表明輻射傳輸蒙特卡洛模擬可以被用來(lái)估算非均質(zhì)儲(chǔ)層的統(tǒng)計(jì)參數(shù)。
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關(guān)鍵詞 : Born散射系數(shù), 隨機(jī)介質(zhì), 輻射傳輸理論, 蒙特卡洛模擬
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: ? ?
基金資助:國(guó)家重點(diǎn)基礎(chǔ)研究發(fā)展計(jì)劃項(xiàng)目(2013CB228600)以及國(guó)家自然科學(xué)基金(41304042)共同資助
通訊作者: 孟祥翠, [email protected]
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孟祥翠,王尚旭,,唐跟陽(yáng),,劉志遠(yuǎn). 二維隨機(jī)介質(zhì)中的聲波輻射傳輸蒙特卡洛數(shù)值模擬及應(yīng)用[J]. 石油科學(xué)通報(bào), 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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