煤层陷落柱散射波数值模拟与成像

煤层陷落柱是煤田勘探开发中常见的一种典型的非均匀地质体.由于来自陷落柱的反射信号少、反射能量弱,使得基于反射波原理的常规地震成像方法难以有效识别陷落柱.本文以散射波理论为基础,采用数值模拟方法,研究了陷落柱的散射波场特征,研究表明地面接收的波场中含有来自陷落柱陡倾角界面的散射波场.通过共散射点道集波场的模拟,可以清晰地识别散射波,获得地下散射点和非均匀地质体的信息,判断散射点的位置,从而勾画出不均匀地质体的形态.采用等效偏移距假设抽取共散射点道集,在此基础上进行叠前偏移,对陷落柱成像;模拟与实际数据成像结果对比表明此方法能够合理地提取散射点的散射波场信息,对陷落柱形态及内部结构准确成像,是一种有效的煤田陷落柱成像方法.     

叠前地震数据特征波场分解、偏移成像与层析反演

本文提出了一套叠前地震数据稀疏表达(特征波场合成)、深度偏移成像和层析成像的处理流程.不同于传统的变换域中的数据稀疏表达理论,本文利用局部平面波的传播方向(慢度矢量),在中心炮检点处同时进行波束合成,从而将地震数据投影到局部平面波域(高维空间)中.由于波束合成后的地震数据描述了局部平面波的方向特征,因此称之为特征波场.然而波束合成算法需要估计局部平面波的慢度矢量.当地震数据受噪声干扰时,难以在常规τ-p谱中自动估计局部平面波的射线参数(慢度矢量).本文提出了基于反演理论的特征波场合成方法,可以同时反演局部平面波及其传播方向,从而提高特征波合成的自动化程度并保持方法的稳健性.通过特征波场合成,可以将地震数据分解为单独的震相(波形).这样的数据可以直接用来成像及反演.在局部平面波域中,由于局部平面波的入射与出射射线参数已知,传统的Kirchhoff叠前深度偏移(PSDM)和高斯束/控制束PSDM可以实现从"沿等时面的画弧"到"向反射点(段)的直接投影"的转变,叠前偏移的效率以及成像质量可以同时提高.此外,特征波场与地下反射点(段)的一对一映射关系使得叠前深度偏移与层析成像融为一体,可以极大地提高速度反演的效率.数值试验证明了特征波场合成、叠前深度成像以及层析反演的有效性.     

时间二阶积分波场的全波形反演

通过对波场的时间二阶积分运算以增强地震数据中的低频成分,提出了一种可有效减小对初始速度模型依赖性的地震数据全波形反演方法—时间二阶积分波场的全波形反演方法.根据散射理论中的散射波场传播方程,推导出时间二阶积分散射波场的传播方程,再利用一阶Born近似对时间二阶积分散射波场传播方程进行线性化.在时间二阶积分散射波场传播方程的基础上,利用散射波场反演地下散射源分布,再利用波场模拟的方法构建地下入射波场,然后根据时间二阶积分散射波场线性传播方程中散射波场与入射波场、速度扰动间的线性关系,应用类似偏移成像的公式得到速度扰动的估计,以此建立时间二阶积分波场的全波形迭代反演方法.最后把时间二阶积分波场的全波形反演结果作为常规全波形反演的初始模型可有效地减小地震波场全波形反演对初始模型的依赖性.应用于Marmousi模型的全频带合成数据和缺失4Hz以下频谱成分的缺低频合成数据验证所提出的全波形反演方法的正确性和有效性,数值试验显示缺失4Hz以下频谱成分数据的反演结果与全频带数据的反演结果没有明显差异.     

再论地震数据偏移成像

利用地震波正向传播方程对属于波形线性反演问题近似求解方法的地震数据偏移成像进行重新推导,得到了适合散射地震数据的散射偏移成像方法和适合反射地震数据的反射偏移成像方法.以地震波传播的散射理论为出发点,首先根据描述一次散射波正向传播的线性方程研究建立散射地震数据的偏移成像方法理论;利用高频近似对产生散射波场的地下速度扰动函数的空间变化进行近似,推导出地下反射率函数,再由散射波传播方程推导出基于反射率函数的反射波传播方程,然后根据描述一次反射波正向传播的线性方程研究建立反射地震数据的偏移成像方法理论.本文指出和修正了Claerbout偏移成像方法中的不足,提出的地震数据偏移成像方法是对当前偏移成像方法理论的完善,使反射地震数据偏移成像具有了更坚实的数学物理理论基础,得到的偏移成像结果相位正确、位置准确、分辨率提高.     

基于复数波场分解的VSP逆时偏移方法研究

相比地面地震勘探,垂直地震剖面(VSP)资料信噪比高,从VSP偏移结果中能够准确地识别井旁小的地质构造.在VSP偏移方法中,VSP逆时偏移方法基于双程波动方程,具有成像精确且无倾角限制、适应任意复杂速度模型等诸多优点,受到人们广泛关注.传统的VSP逆时偏移方法会在成像剖面上产生低频噪声,同时井中检波点分布位置附近会产生井轨迹噪声,严重影响了成像剖面的质量.在本文中,我们利用优化时空域频散关系求解差分系数,提高数值模拟精度;采用混合吸收边界条件压制边界反射,减少边界反射对成像的影响;通过Hilbert变换来构建复数波场,利用波场分解成像条件进行VSP逆时偏移成像,来压制低频噪声和井轨迹噪声.数值模型和实际资料测试表明,基于复数波场分解成像方法能够实现高精度的VSP逆时偏移,并且能够有效地压制VSP逆时偏移中的低频成像噪声和井轨迹噪声;相比地面地震逆时偏移,本文方法能够对井旁构造和盐丘下构造取得更清晰的成像结果.     

基于机器学习的时间反转散射体检测方法

地下小尺度散射体的检测和识别对于提高地震勘探的分辨率具有重要意义,目前业界普遍采用绕射波分离及成像方法检测地下散射体,而绕射波成像的质量主要取决于绕射波和反射波波场分离的程度.本文将被动源震源定位问题中常用的时间反转原理引入到地下散射体检测中,首先通过分析被动源和主动源模型反传波场的聚焦状态,验证了时间反转原理应用于地下散射体检测中的可行性;并引入机器学习中的朴素贝叶斯分类算法,给出适用于时间反转散射体检测的分类算法框架,计算模型中每个点成为散射体的概率,最终检测出地下散射体最有可能存在的位置.散射体模型和Sigsbee2a模型的试算结果证实了本文方法在不需对反射波和绕射波分离的情况下,即可实现对地下散射体的检测和定位,同时由于考虑了多次散射的影响,检测结果能准确反映地下散射体的位置.     

基于高斯束与高斯波包的Gabor框架散射波模拟方法

在给出真实模型和相应光滑背景模型的情况下,如何计算扰动模型(散射体)产生的散射波场是一个有实际意义的正演问题.在Gabor变换域描述散射体,且入射波场为短时宽带信号时,散射波场可以在频率域用高斯束或时间域用高斯波包描述.相对于波动方程方法,高斯束和高斯波包的计算效率更高;背景模型光滑时,高斯束和高斯波包方法的精度也接近波动方程方法.文中导出了声波假设下应用高斯束和高斯波包计算散射波的方法.测试分析了高斯波包的计算精度.给出了一般散射体的散射波模拟策略.同时针对一个理论模型完成了本文方法计算散射波的实验,实验结果表明高斯波包散射波计算方法是有效可行的.     

地震逆散射偏移与反演综述

随着油气勘探领域逐渐向深层、复杂型、隐蔽性油气藏转移,油气资源的勘探难度越来越大,传统反射地震勘探技术难以满足日益增长的油气勘探需求,亟需发展适合复杂地质构造的地震波偏移反演新技术.针对地球深部非均匀结构体引起的地震散射波,发展地震逆散射偏移反演理论和技术将有可能解决复杂构造成像反演的技术难题.本文回顾地震波逆散射偏移反演理论的发展历史和基本原理,以逆广义Radon变换求解线性化逆散射问题为基础,介绍逆散射理论在介质结构成像、物性参数反演、多次波衰减等方面的技术延伸,同时将其应用到合成数据和实际数据资料,探讨地震勘探逆散射方法的技术优势和应用潜力.     

基于Hilbert变换的全波场分离逆时偏移成像

逆时偏移方法利用双程波算子模拟波场的正向和反向传播,通常采用互相关成像条件获得偏移剖面,是一种高精度的成像方法.但是传统的互相关成像条件会在偏移结果中产生低频噪声;此外,如果偏移速度中存在剧烈速度变化还可能进一步产生偏移假象.为了提高逆时偏移的成像质量,可在成像过程中先对震源波场和检波点波场分别进行波场分离,然后选择合适的波场成分进行互相关成像.本文基于Hilbert变换,推导了可在偏移过程中进行上下行和左右行波场分离的高效波场分离公式以及相应的成像条件,结合Sigsbee 2B合成数据,给出了不同波场成分的互相关成像结果.数值算例结果表明,采用本文提出的高效波场分离算法以及合理的波场成分互相关成像条件可以获得高信噪比的成像结果.     

逆散射理论的发展及应用前景

逆散射理论作为量子力学发展的产物,目前在地震数据处理方面得到了较为广泛的应用.逆散射成像是通过散射体外部场的探测来获得散射体内部的信息,它是近年来发展比较迅速的一种成像方法,其突出的应用是运用逆散射序列中的一阶近似项进行深度成像.本文对逆散射理论在国内外的发展历程进行较为系统的概括和总结,在此基础上,对逆散射理论的应用前景进行了分析.逆散射理论在多次波的压制、界面奇性反演、大扰动深度成像等方面具有广阔的应用前景.     

地震波散射理论及应用研究综述

回顾了地震波散射的概念、研究历史及分类.对散射理论及应用研究成果进行了系统评述，特别对前人关于散射波数值模拟和应用研究的不足进行了总结：(1)观测系统设计不合理；(2)对散射波的特征研究缺乏系统性；(3)对复杂散射波场的识别方法没有进行系统研究；(4)适合散射成像的处理软件还有待开发.并介绍了作者关于地震散射波场特征数值模拟研究的初步成果.     

地震多级散射波正演模拟方法

地震波在穿越地下散射体群时会产生多级散射波,分析其地震响应特征,可推断散射体的分布情况和性质。本文从二维标量波动方程出发,结合地震散射理论和波恩近似理论,推导了多级散射波方程。在此基础上,采用高阶有限差分法对双点散射体模型和复杂散射体模型进行数值模拟,分析了多级散射波的传播规律和波场特征,并通过抽取多级散射记录和各级散射记录的单道记录与参考单道记录的对比,验证了本文推导散射波方程的准确性。      

Seismic diffraction tomography technique using very fast simulated annealing method for delineating small subsurface features

Diffraction, once considered noise rather than signal in seismic tomography, has recently been successfully used for delineating smaller objects whose size is comparable to or less than the wavelength of the incident seismic wave. But Most of the seismic diffraction tomography works are based on Born's and Rytov's approximation of weak scattering to linearize the expression for the scattered field due to an object and this is the basis of Fourier Diffraction Theorem. However, In this paper, we used the amplitude of the total scattered wave field without considering any approximation of weak scattering to obtain the synthetic scattered field data for forward modeling. These synthetic data are then inversed by Very Fast Simulated Annealing method which is a nonlinear inversion technique to obtain the unknown model parameters. This algorithm is applicable to both weak as well as strong scatterers. The simulated results give fairly good estimate for unknown model parameters of the scattering object within acceptable error limits.     

TIME MIGRATION—SOME RAY THEORETICAL ASPECTS*

Using an elementary theory of migration one can consider a reflecting horizon as a continuum of scattering centres for seismic waves. Reflections arising at interfaces can thus be looked upon as the sum of energy scattered by interface points. The energy from one point is distributed among signals upon its reflection time surface. This surface is usually well approximated by a hyperboloid in the vicinity of its apex. Migration aims at focusing the scattered energy of each depth point into an image point upon the reflection time surface. To ensure a complete migration the image must be vertical above the depth point. This is difficult to achieve for subsurface interfaces which fall below laterally in-homogeneous velocity media. Migration is hence frequently performed for these interfaces as well by the Kirchhoff summation method which systematically sums signals into the apex of the approximation hyperboloid even though the Kirchhoff integral is in this case not strictly valid. For a multilayered subsurface isovelocity layer model with interfaces of a generally curved nature this can only provide a complete migration for the uppermost interface. Still there are various advantages gained by having a process which sums signals consistently into the minimum of the reflection time surface. The position of the time surface minimum is the place where a ray from the depth point emerges vertically to the surface. The Kirchhoff migration, if applied to media with laterally inhomogeneous velocity, must necessarily be followed by a further time-to-depth migration if the true depth structure is to be recovered. Primary normal reflections and their respective migrated reflections have a complementary relationship to each other. Normal reflections relate to rays normal to the reflector and migrated reflections relate to rays normal to the free surface. Ray modeling is performed to indicate a new approach for simulating seismic reflections. Commonly occuring situations are investigated from which lessons can be learned which are of immediate value for those concerned with interpreting time migrated reflections. The concept of the ‘image ray’ is introduced.     

半无限空间中圆形孔洞周围SH波的散射

建立了求解在含有圆形孔洞的弹性半空间中SH波散射与圆形孔洞附近动应力集中问题的解析方法。利用SH波散射的对称性和多极坐标的方法，构造了一个可以预先满足半空间自由表面上应力自由边界条件的圆形孔洞对SH波散射的波函数。利用这一波函数，则可将该问题转化成对一个圆形孔洞散射的求解问题。该问题的解答最终又可归结为对一组无究代数方程组的求解问题，并可利用截断有限项的方法对其进行计算，最后给出了有关圆形也洞附近动应力集中问题的算例和数值结果，并讨论了波数与圆孔至自由边界距离变化对动应力集中的影响。     

Image enhancement by multi‐parameter characterization of common image gathers

We present an innovative approach for seismic image enhancement using multi‐parameter angle‐domain characterization of common image gathers. A special subsurface angle‐domain imaging system is used to generate the multi‐parameter common image gathers in a summation‐free image space. The imaged data associated with each common image gathers depth point contain direction‐dependent opening‐angle image contributions from all the available incident and scattered wave‐pairs at this point. Each direction‐dependent opening‐angle data can be differently weighted according to its coherency measure. Once the optimal migration velocity is used, it is assumed that in the actual specular direction, the coherency measure (semblance) along reflection events, from all available opening angles and opening azimuths, is larger than that along non‐specular directions. The computed direction‐dependent semblance attribute is designed to operate as an imaging filter which enhances specular migration contributions and suppresses all others in the final migration image. The ability to analyse the structural properties of the image points by the multi‐parameter common image gather allows us to better handle cases of complicated wave propagation and to improve the image quality at poorly illuminated regions or near complex structures. The proposed method and some of its practical benefits are demonstrated through detailed analysis of synthetic and real data examples.     

A matched-filter approach to wave migration

Wave migration is a technique in which the reflectivity of the Earth is interpreted by extrapolating the fields measured on the surface into the ground. The motivation of this paper is to develop a generalized imaging algorithm based on a matched-filter that shows a mathematical connection between currently used migration techniques. The filter is determined by estimating the received signal when a specific test target exists in the ground. To keep the method general, a point scatterer is used as this target, while distributed objects are modeled without changing the filter characteristics by a collection of independent point scatterers. Also, the specific forms of the Green's functions, which describe wave propagation in the ground, are not included in the formation of this approach leaving more freedom in the implementation. When the filter is applied to measured data of a monostatic survey, the resulting method becomes a forward scattering problem in which these data become time-reversed current sources. Next, specific forward scattering techniques are applied to this matched-filter approach and the resulting methods are compared to traditional migration techniques. In doing so, we find that the general form of most migration techniques can be shown using a matched-filter, while the major differences lie in the actual interpretation of the wave propagation that is used to implement the filter. The similarities of the matched-filter-based approaches to traditional techniques are used to show a connection and general overview of wave migration. Finally, these methods are applied to data collected over pipes buried in sand.