本文選題：TTI介質(zhì)　切入點(diǎn)：正演模擬　出處：《石油地球物理勘探》2017年05期 　論文類(lèi)型：期刊論文

【摘要】：針對(duì)TTI介質(zhì)交錯(cuò)網(wǎng)格高階有限差分正演模擬精度低及矢量波型分離不徹底的問(wèn)題,發(fā)展了一種TTI介質(zhì)Lebedev網(wǎng)格高階有限差分正演模擬方法及矢量波型分離一體化處理流程。首先從一階偏導(dǎo)數(shù)彈性波速度—應(yīng)力方程出發(fā),構(gòu)建了TTI介質(zhì)Lebedev網(wǎng)格高階差分波場(chǎng)遞推格式;然后借助Low-rank分解策略處理由極化矢量構(gòu)成的空間—波數(shù)域分離算子,進(jìn)而對(duì)速度分量實(shí)施縱、橫波型分離;最終實(shí)現(xiàn)了Lebedev網(wǎng)格高階差分方案與縱、橫波分離模擬思路的有機(jī)結(jié)合,形成了復(fù)雜TTI介質(zhì)高精度正演模擬與波型分離一體化處理流程。在實(shí)現(xiàn)方法的基礎(chǔ)上,對(duì)均勻介質(zhì)、層狀介質(zhì)以及復(fù)雜BP2007模型進(jìn)行了正演及分離測(cè)試。計(jì)算結(jié)果表明:選取Lebedev網(wǎng)格高階有限差分能夠減小交錯(cuò)網(wǎng)格剖分方式帶來(lái)的插值誤差,從而獲得高精度矢量波場(chǎng);其次,通過(guò)應(yīng)用Low-rank分解波型分離方法能夠?qū)崿F(xiàn)矢量波徹底分離,得到完全解耦的縱、橫波場(chǎng);文中方法對(duì)非均勻復(fù)雜模型具有良好的適應(yīng)能力。
[Abstract]:In order to solve the problem of low precision of forward modeling and incomplete separation of vector wave pattern in TTI medium staggered grid high order finite difference modeling, A high order finite difference forward modeling method for Lebedev mesh in TTI medium and an integrated treatment process of vector wave separation are developed. Firstly, based on the first order partial derivative elastic wave velocity-stress equation, The high-order differential wave field recursive scheme of Lebedev mesh in TTI medium is constructed, and then the space-wavenumber domain separation operator composed of polarization vector is processed by Low-rank decomposition strategy, and the velocity components are separated by longitudinal and S-wave patterns. Finally, the organic combination of high-order difference scheme of Lebedev grid and the train of thought of longitudinal and S-wave separation simulation is realized, and the integrated processing flow of high precision forward modeling and wave type separation of complex TTI medium is formed. The forward modeling and separation test of layered medium and complex BP2007 model are carried out. The results show that the interpolation error caused by interlaced mesh generation can be reduced by Lebedev mesh high-order finite-difference method, and the high precision vector wave field can be obtained. The complete separation of vector waves can be achieved by using the Low-rank decomposition wave pattern separation method, and the fully decoupled longitudinal and shear wave fields can be obtained, and the proposed method has a good adaptability to the non-uniform complex model.
【作者單位】： 中國(guó)石油大學(xué)(華東)地球科學(xué)與技術(shù)學(xué)院地球物理系;中海油研究總院;
【基金】：國(guó)家重點(diǎn)基礎(chǔ)研究發(fā)展計(jì)劃項(xiàng)目(2014CB239006) 國(guó)家自然基金項(xiàng)目(41274124) 中央高校科研業(yè)務(wù)費(fèi)專(zhuān)項(xiàng)基金項(xiàng)目(R1401005A) 中國(guó)石油大學(xué)(華東)研究生創(chuàng)新工程資助項(xiàng)目(YCXJ2016005)聯(lián)合資助
【分類(lèi)號(hào)】：P631.4

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