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1.
柯璇  石颖 《地球物理学报》2017,60(11):4468-4479
通常工业界实现逆时偏移算法时采用有限差分数值方法模拟地震波场,波场模拟常常受稳定性条件限制,且易产生数值频散,成像精度降低.本文引入了一步法波场延拓方法,首先构建声波传播算子,借助Chebyshev多项式和Jacobi-Anger展开式近似传播算子中的e指数项,进而实现波场递推,该方法时间步长的选取不受稳定性条件限制而且不存在空间频散现象.本文将一步法波场延拓方法用于逆时偏移成像的波场模拟,并提出双缓冲区存储策略,在不增加计算量的前提下,大幅降低了逆时偏移方法的波场存储量.波场模拟和逆时偏移成像测试表明,本文提出的一步法波场延拓方法模拟地震波场精度高,消除了频散影响,可在较大时间步长的情况下实现高精度波场模拟;提出的基于一步法波场延拓的逆时偏移方法成像质量好;基于双缓冲区存储策略的逆时偏移成像方法存储成本低.  相似文献   

2.
数据自相关多次波偏移成像   总被引:1,自引:1,他引:0       下载免费PDF全文
在常规偏移方法中一般都需要压制地震数据中的多次波,仅利用一次波信息成像,把自由表面反射的多次波视为噪声,但是在多次波中也包含着地下结构信息,应该将其充分利用到成像中来.事实上,已经有不少成像方法试图利用多次波信息,但是大部分方法都需要对多次波进行预测.本文提出了基于傅里叶有限差分偏移算子的数据自相关偏移方法.在这种偏移方法中,对含有一次波和多次波的地震数据,分别进行下行和上行延拓,然后直接利用常规的互相关成像条件成像.由于波场延拓采用了傅里叶有限差分算子,其计算效率高,能够很好地对复杂介质中的地震数据进行延拓.在数值试验中,使用了一个含散射点的三层模型和Marmousi模型.合成数据测试结果表明,这种方法可以对更大范围的地下构造成像,比常规的只利用一次波的傅里叶有限差分法照明度更好,并且在浅层可以提供更高的分辨率.我们提出的数据自相关策略易于实现且避免了繁杂的多次波预测,这对于复杂地下构造成像可能有着重大意义.  相似文献   

3.
层间多次波模拟与影响分析   总被引:1,自引:0,他引:1       下载免费PDF全文
有效模拟层间多次波是压制层间多次波或分析层间多次波影响的基础.基于点震源的球面波理论,采用反射率法有效模拟了层间多次波.基于三层介质地质模型,利用本文方法模拟了考虑层间多次波条件下地震波传播特征,对多种层间多次波进行了有效识别,验证了方法的有效性.基于实际油田条件研究了煤层产生的多次波对下伏低速气层顶界面的一次波AVO(振幅随偏移距变化)的影响.模型模拟计算结果表明,利用本文研究的反射率法可以得到地震波场的完全解,包括地震波在地层中传播时形成的一次波、多次波和转换波信息,层间多次波的存在可以改变目标层的反射波波形特征、地震资料的频谱特征,并影响目标层AVO变化规律,从而很大程度上降低油气藏识别精度,增加钻探风险.  相似文献   

4.
地震数据中发育的层间多次波是影响速度分析和偏移成像的精度和可靠性的关键.通常情况下,层间多次波的动校正量、叠加速度和频率与一次波并无明显差异,从而对识别、预测和压制多次波带来了极大挑战.传统虚同相轴方法基于物理图像和定性公式,其预测的层间多次波振幅和相位精度难以满足实际需求,造成了其对匹配算法的过度依赖.本文针对传统虚同相轴方法的理论缺陷和计算精度问题,通过理论推导得到了新的自适应虚同相轴方法.相比于传统方法,自适应虚同相轴方法能够显著提高压制多次波能力,同时减少对匹配算法的依赖.本文给出了自适应虚同相轴方法的推导过程,并运用一维和二维模型算例验证了方法相较于传统虚同相轴方法的多次波预测精度优势.通过在PLUTO模型和实际陆地地震数据上的应用实例,证明了本文新研究的自适应虚同相轴方法对去除层间多次波,恢复并突出目标储层同相轴,提高地震成像分辨率的显著作用.  相似文献   

5.
串珠状溶洞模型介质波动方程正演与偏移   总被引:3,自引:2,他引:1       下载免费PDF全文
为了揭示溶洞储层的地震波场特征,该文采用相移加插值波场延拓算子,该算子能适应介质速度横向变化和纵向变化、对地层无倾角限制、保振幅且可以避免层间多次波的产生.然后用该算子对根据某地区奥陶系储层溶洞的地质特征所设计的五个串珠状溶洞地质模型进行正演和偏移,并分析波场特征.溶洞储层模型数值模拟的结果揭示了在不同大小、形状、间距、分布位置等情况下溶洞地震波场特征,得出了关于串珠状溶洞介质地震波场特征的一些有意义的结论和认识.  相似文献   

6.
在交错网格有限差分算法中,模型网格剖分原则与正演计算效率密切相关.当模型存在小型非均质体或者低降速层等情况,为保证精度,满足稳定性条件,需缩小网格步长,导致局部过采样,计算效率低下.为保证模拟精度的同时保持高计算效率,通常采用变化的空间网格与时间步长相结合的高阶有限差分模拟方法对波场进行模拟.然而,时空双变算法存在着交错网格固有缺点,在模拟非均匀性较强的复杂介质波场传播时,需对介质参数进行平均或内插.同时,该算法在空间与时间上的变网格实现极为复杂.为压制变网格引起的虚假反射,提升模拟精度和计算效率,本文在时空双变网格算法的基础上,采用旋转差分角度的方式,提出了旋转时空双变交错网格算法.该方法既保留了旋转网格和双变网格的优势,又简化了时空双变算法流程,更利于推广和应用.  相似文献   

7.
弹性波逆时偏移不受倾角和偏移孔径的限制,能够实现任意复杂构造的高精度多波成像,是目前最精确的多分量资料偏移成像方法之一.逆时偏移算法的核心是波场延拓,传统波场延拓以水平基准面为边界条件,基于固定采样步长进行规则网格剖分,采用阶梯近似法处理起伏地表和复杂构造界面时会产生台阶散射,严重影响起伏地表复杂构造的成像精度.基于无网格节点模型,定量分析了弹性波模拟中径向基函数有限差分法的频散关系和稳定性条件.基于此,提出一种基于QR径向基函数的高精度有限差分方法,并提出一种优化的起伏地表自适应节点剖分方法,推导了精确的无网格自由边界条件和弹性波无网格混合吸收边界条件,形成了新的基于无网格的起伏地表弹性波数值模拟方法.此外,本文将此无网格径向基函数有限差分方法应用于精确的纵横波场矢量分解公式,实现了起伏地表弹性波逆时偏移成像.通过对高斯山丘模型,起伏凹陷模型和起伏地表Marmousi-2模型进行数值试算,验证了本文方法的有效性和可行性.  相似文献   

8.
波场模拟中的数值频散分析与校正策略   总被引:22,自引:5,他引:17       下载免费PDF全文
波动方程有限差分法正演模拟,对认识地震波传播规律、进行地震属性研究、地震资料地质解释、储层评价等,均具有重要的理论和实际意义.但有限差分法本身固有存在着数值频散问题,数值频散在正演模拟中是一种严重的干扰,会降低波场模拟的精度与分辨率.针对TI介质波场模拟的交错网格有限差分方法,本文从空间网格离散、时间网格离散和算子近似等三个方面对其产生的数值频散进行了分析,并结合其他学者的研究成果给出了TI介质波场模拟中压制数值频散的方法与策略:在已知介质频散关系时,对差分算子可实施算子校正;通过提高差分方程的阶数来提高波场模拟精度;采用流体力学中守恒式方程的通量校正传输方法来压制波场模拟中的数值频散;在实际正演模拟时,采用交错网格高阶有限差分方程,不仅在空间上采用高阶差分,而且在时间上也要采用高阶差分,否则只在单一方向上(空间或时间)提高方程的阶数对压制数值频散也不会取得理想的效果.  相似文献   

9.
瞬变电磁虚拟波场的三维曲面延拓成像   总被引:7,自引:2,他引:5       下载免费PDF全文
根据瞬变电磁场扩散方程与波动方程间存在的数学对应形式,将已知瞬变电磁场数据转换为虚拟波场数据,在此基础上,提出了用克希霍夫积分法将所转换的波场从地面向地下反向延拓的方法.在延拓的数值计算中,为提高计算效率,采用三维边界元技术,把边界积分分解为诸三角单元积分的积分之和, 建立了曲面延拓方程式;通过地面测点的波场值,求出地下某一点的波场值,实现了地表为曲面的向下延拓成像计算.通过对理论模型计算和实际资料处理,证明了该方法可以增强瞬变电磁法识别地下电性分界面的能力,使瞬变电磁法对地下目标体的三维精细探测成为可能.  相似文献   

10.
在地震勘探中,层间多次波在地震剖面上形成的虚假界面会严重影响对地质构造的解释.由于层间多次波在走时、频率和形态上与一次波的差异较小,因此较难对层间多次波进行识别和压制.本文使用分层层间多次波预测方法与基于2D卷积信号盲分离的多次波自适应相减方法相结合的策略对层间多次波进行压制处理.首先推导并阐述了分层层间多次波预测方法的理论基础,然后对地下介质中存在的多个多次波产生界面实现了层间多次波的分层预测,最后采用基于2D卷积信号盲分离的多次波自适应相减方法对层间多次波进行压制,以更好的保护有效信号.分层预测的方法通过分离层间多次波产生层位,对目标层位产生的所有层间多次波直接进行预测,该方法避免了共聚焦点方法构建共聚焦点道集的聚焦运算,降低了计算成本,同时该方法是基于数据驱动的,算法容易实现.模型数据和实际地震资料试算结果表明,本文方法能直接利用地表数据对层间多次波进行压制,并有效的保护一次波.  相似文献   

11.
Surface‐related multiple elimination is the leading methodology for surface multiple removal. This data‐driven approach can be extended to interbed multiple prediction at the expense of a huge increase of the computational burden. This cost makes model‐driven methods still attractive, especially for the three dimensional case. In this paper we present a methodology that extends Kirchhoff wavefield extrapolation to interbed multiple prediction. In Kirchhoff wavefield extrapolation for surface multiple prediction a single round trip to an interpreted reflector is added to the recorded data. Here we show that interbed multiples generated between two interpreted reflectors can be predicted by applying the Kirchhoff wavefield extrapolation operator twice. In the first extrapolation step Kirchhoff wavefield extrapolation propagates the data backward in time to simulate a round trip to the shallower reflector. In the second extrapolation step Kirchhoff wavefield extrapolation propagates the data forward in time to simulate a round trip to the deeper reflector. In the Kirchhoff extrapolation kernel we use asymptotic Green's functions. The prediction of multiples via Kirchhoff wavefield extrapolation is possibly sped up by computing the required traveltimes via a shifted hyperbola approximation. The effectiveness of the method is demonstrated by results on both synthetic and field data sets.  相似文献   

12.
基于自适应优化有限差分方法的全波VSP逆时偏移   总被引:1,自引:1,他引:0       下载免费PDF全文
与地面地震资料相比,VSP资料具有分辨率高、环境噪声小及能更好地反映井旁信息等优点.常规VSP偏移主要对上行反射波进行成像,存在照明度低、成像范围受限等问题.为了增加照明度、拓宽成像范围、提高成像精度,本文采用直达波除外的所有声波波场数据(全波),包括一次反射波、多次反射波等进行叠前逆时偏移成像.针对逆时偏移中的四个关键问题,即波场延拓、吸收边界条件、成像条件及低频噪声的压制,本文分别采用自适应变空间差分算子长度的优化有限差分方法(自适应优化有限差分方法)求解二维声波波动方程以实现高精度、高效率的波场延拓,采用混合吸收边界条件压制因计算区域有限所引起的人工边界反射,采用震源归一化零延迟互相关成像条件进行成像,采用拉普拉斯滤波方法压制逆时偏移中产生的低频噪声.本文对VSP模型数据的逆时偏移成像进行了分析,结果表明:自适应优化有限差分方法比传统有限差分方法具有更高的模拟精度与计算效率,适用于VSP逆时偏移成像;全波场VSP逆时偏移成像比上行波VSP逆时偏移的成像范围大、成像效果好;相对于反褶积成像条件,震源归一化零延迟互相关成像条件具有稳定性好、计算效率高等优点.将本文方法应用于某实际VSP资料的逆时偏移成像,进一步验证了本文方法的正确性和有效性.  相似文献   

13.
海水与空气间的强波阻抗界面使得海洋地震数据普遍发育自由表面相关多次波,多次波信息的利用是提高海洋地震资料成像品质的新突破点.近年来发展了一系列多次波成像方法,干涉假象是制约其应用推广的关键问题之一.为了避免假象影响,本文提出了不同阶次自由表面相关多次波预测与成像方法,首先,修改了传统SRME(表面相关多次波衰减)方法中的边界条件,通过多次波升阶次与匹配相减的方法预测出不同阶次自由表面相关多次波;其次,基于单程波偏移算子和"面炮"偏移策略,以一次反射波或第(N-1)阶自由表面相关多次波为下行波场正向延拓,以第1阶多次或第N阶多次波为上行波场逆向延拓,并在每一层互相关成像得到第1阶或N阶多次波单独成像.本方法避免了低阶多次波和高阶多次波产生的相关假象,且相对于全波算子的偏移方法具有较高的计算效率,增强了多次波成像方法的实用性.单层模型和三层模型测试验证了本方法的正确性,并在我国某深海探区实际资料处理中得到了成功应用.相对于传统一次波成像,分阶次多次波成像具有更高的照明均衡度、垂向分辨率和信噪比.本研究表明,海洋多次波成像是一次波成像的有力补充,对于稳定海底沉积的深海地区,具有一定的应用前景.  相似文献   

14.
Multiple scattering is usually ignored in migration algorithms, although it is a genuine part of the physical reflection response. When properly included, multiples can add to the illumination of the subsurface, although their crosstalk effects are removed. Therefore, we introduce full‐wavefield migration. It includes all multiples and transmission effects in deriving an image via an inversion approach. Since it tries to minimize the misfit between modeled and observed data, it may be considered a full waveform inversion process. However, full‐wavefield migration involves a forward modelling process that uses the estimated seismic image (i.e., the reflectivities) to generate the modelled full wavefield response, whereas a smooth migration velocity model can be used to describe the propagation effects. This separation of modelling in terms of scattering and propagation is not easily achievable when finite‐difference or finite‐element modelling is used. By this separation, a more linear inversion problem is obtained. Moreover, during the forward modelling, the wavefields are computed separately in the incident and scattered directions, which allows the implementation of various imaging conditions, such as imaging reflectors from below, and avoids low‐frequency image artefacts, such as typically observed during reverse‐time migration. The full wavefield modelling process also has the flexibility to image directly the total data (i.e., primaries and multiples together) or the primaries and the multiples separately. Based on various numerical data examples for the 2D and 3D cases, the advantages of this methodology are demonstrated.  相似文献   

15.
尤加春  曹俊兴  王俊 《地球物理学报》1954,63(10):3838-3848
叠前深度偏移理论及方法一直是地震数据成像中研究的热点问题.业界对单程波叠前深度偏移方法和逆时深度偏移开展了深入的研究,但对双程波方程波场深度延拓理论及成像方法的研究还鲜有报道.本文以地表记录的波场值为基础,利用单程波传播算子估计波场对深度的偏导数,为在深度域求解双程波方程提供充分的边界条件,并提出利用矩阵分解理论实现双程波方程的波场深度外推.通过对强速度变化介质中传播波场的计算,与传统的单程波偏移方法相比,本文提出的偏移方法计算的波场与常规有限差分技术计算的波场相一致,证明了本方法计算的准确性.通过对SEAM模型的成像,在相同的成像参数下,与传统的单程波偏移算法和逆时深度偏移算法方法相比,本文提出的偏移方法能够提供更少的虚假成像和更清晰的成像结果.本文所提偏移算法具有深度偏移和双程波偏移的双重特色,推动和发展了双程波叠前深度偏移的理论和实践.  相似文献   

16.
本文建立了无分裂复频移卷积完全匹配层(CFS-CPML)吸收边界条件,利用交错网格下的高精度有限差分格式对黏弹性介质中的勒夫波场进行了数值模拟;分析了松弛机制个数对品质因子拟合精度的影响,验证了CFS-CPML边界条件对大角度掠射波的吸收效果.数值结果表明:本文方法所使用的5个松弛机制和空间4阶差分精度,即可在保证计算效率的前提下满足目前理论研究的需要;随着品质因子的减小,频散特征曲线的相速度逐渐向增高的方向偏离理论频散特征曲线的相速度,且各模式的高频能量也随之减弱.本文结果可为发展高精度的面波反演方法提供必要的理论依据.   相似文献   

17.
It is important to include the viscous effect in seismic numerical modelling and seismic migration due to the ubiquitous viscosity in an actual subsurface medium. Prestack reverse‐time migration (RTM) is currently one of the most accurate methods for seismic imaging. One of the key steps of RTM is wavefield forward and backward extrapolation and how to solve the wave equation fast and accurately is the essence of this process. In this paper, we apply the time‐space domain dispersion‐relation‐based finite‐difference (FD) method for visco‐acoustic wave numerical modelling. Dispersion analysis and numerical modelling results demonstrate that the time‐space domain FD method has great accuracy and can effectively suppress numerical dispersion. Also, we use the time‐space domain FD method to solve the visco‐acoustic wave equation in wavefield extrapolation of RTM and apply the source‐normalized cross‐correlation imaging condition in migration. Improved imaging has been obtained in both synthetic and real data tests. The migration result of the visco‐acoustic wave RTM is clearer and more accurate than that of acoustic wave RTM. In addition, in the process of wavefield forward and backward extrapolation, we adopt adaptive variable‐length spatial operators to compute spatial derivatives to significantly decrease computing costs without reducing the accuracy of the numerical solution.  相似文献   

18.
Currently, the study on the active fault in the land areas is relatively mature, while there is still lack of detection and research on active faults in the sea areas. Marine exploration, which is different from land areas, has a prominent problem due to the existence of strong reflecting interfaces such as water surface and seafloor in the sea, thus the recording is often accompanied by interference of multiples on seafloor reflections. In addition, because of the characteristics of marine seismic exploration, the source exciting in the water and the geophone receiving in the water, ghost wave usually can be recorded simultaneously during the reflected wave propagation. This phenomenon makes it difficult to distinguish the effective waves and the noise, and has always plagued the data and seriously affects the quality of records. In the offshore and other regions of complex structures, such as inclined interfaces, it is difficult to eliminate the interference of multiples accurately by traditional multiples suppression methods, which are based on the horizontal interface assumption. This paper combines the sea area seismic data and its acquisition method, uses simplified model to simulate the multiples based on the time-distance analysis of multiples and their ghost wave in inclined interface. The time-distance characteristics of the multiples and their ghost waves from different interfaces(including the inclined interface)are obtained, and they are consistent with the actual records. The multiples time-distance simulation can help to distinguish the causes of reflected waves, summarize the multiple-wave time-distance characteristics from different interfaces(including inclined interfaces), and analyze the relationship between the characteristics of multiple waves and primary waves. In particular, this simulation has a significant effect on characterizing the internal multiples that are difficult to identify due to inconspicuous periodicity and the multiples of the inclined interface which present the phenomenon that the vertex of the time-distance curve is shifted. On this basis, relying on the time-distance analysis of ghost wave, we analyze the travel time difference characteristics between reflected waves and their accompanying ghost waves. The differences of the travel time characteristics of different orders ghost wave and reflected wave are summarized and the symmetry of the travel time difference between inclined interface and horizontal interface of ghost waves and reflected waves is analyzed. We simulate the distraction of the ghost wave event with the event of the reflected wave and analyze the influence of the ghost wave on the sea area seismic records. These results can improve the practical interpretation of seismic data. At last, the time-distance information is used to synthesize sea area seismic records, which can help us carry out the effective data processing and understand the characteristics of the time-distance and velocity of multiples in different interfaces and the layer artifact caused by multiples. This study combines the time-distance simulation of multiples and their ghost wave with conventional seismic data processing to analyze the pre-stack and post-stack features of multiple waves and their ghost waves in the seismic records of the sea area. The results of this study are conducive to the effective identification of multiples in seismic records in the sea, provide a theoretical basis for multi-wave suppression and prediction, and may facilitate the future study of sea-area seismic activity detection.  相似文献   

19.
随着能源和资源勘查开采工作的深入,地形强烈起伏的盆山耦合地区的地震资料处理解释技术正日益成为山地地震勘探面临的重要挑战.逆时偏移方法作为精确的地震偏移成像方法之一,能对地下结构进行高精度成像.逆时偏移的核心是地震波场延拓,由于传统的地震波场延拓技术往往基于水平地表条件,相应的方法在直接处理强地形起伏条件下的地震资料时往往存在一定的精度损失.本文引入一种精度无损的处理起伏边界的模型参数化方法:基于贴体网格的地形"平化"策略发展了与地形有关的地震波波动方程数值模拟方法,采用零延迟归一化互相关成像条件实现了起伏地表条件下的弹性波场逆时偏移成像.对工业界的标准Marmousi模型和盐丘模型进行改造,获得了相应起伏地形条件下的复杂几何模型,开展了起伏地表下的地震偏移成像数值试验.结果表明基于贴体网格"平化"策略的逆时偏移成像方法具有较高的灵活性,可适应不同类型起伏地表采集的地震资料,显示出该方法在地震勘探领域的良好应用前景.  相似文献   

20.
We present a layer-stripping method of migration for irregularly layered media in which first-order velocity discontinuities separate regions of constant or smoothly varying velocity. We use the reverse-time method to migrate seismic data layer by layer, from the surface downwards. As part of the migration of a given layer, the bottom boundary of the layer is defined based on power in the migrated signal, and a seismic section is collected along it. This new section serves as the boundary condition for migration in the next layer. This procedure is repeated for each layer, with the final image formed from the individual layer images. Layer-stripping migration consists of three steps: (1) layer definition, (2) wavefield extrapolation and imaging, and (3) boundary determination. The migration scheme when used with reverse-time extrapolation is similar to datuming with an imaging condition. The reverse-time method uses an explicit fourth-order time, tenth-order space, finite-difference approximation to the scalar wave equation. The advantages of layer-stripping reverse-time migration are: (1) it preserves the benefits of the reverse-time method by handling strong velocity contrasts between layers and steeply dipping structures; (2) it reduces computer memory and saves computation time in high-velocity layers, and (3) it allows interpretational control of the image. Post-stack layer-stripping reverse-time migration is illustrated with a synthetic CMP data example. Prestack migration is illustrated with a synthetic data set and with a marine seismic reflection profile across the Santa Maria Basin and the Hosgri Fault in central California.  相似文献   

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