复杂地表静校正方法研究及应用
|
摘要
自20世纪60年代中期引入数字技术以来，尽管反射地震勘探静校正方法已经层出不穷，但是目前静校正问题仍然是地震资料处理的一个难题，尤其是复杂地表静校正问题。这主要表现在以下几个方面：
1、由于复杂近地表条件初至波能量特征、波形特征、相位特征变化较大，又经常受噪音的影响，所以初至波很难准确拾取。再加上目前地震采集多为三维勘探，数据量庞大，初至拾取效率不高。如何快速、准确地拾取初至是解决复杂地表静校正问题面临的第一个难题。目前初至波自动拾取方法的精度和效率已经无法满足这类复杂地表大数据量初至波拾取的要求。
2、折射波静校正是地表一致性静校正方法，常常以地面和折射面水平、速度横向不变作为前提条件。由于复杂地震勘探区域的地表起伏大，近地表厚度、速度变化复杂，致使接收到的反射波时距曲线发生畸变，叠加时不能同相叠加。对于这类实际生产中遇到的复杂地表静校正问题，目前人们都基本上无法摆脱浅层折射法的前提，认为不能进行比较复杂的近地表建模。为此，论文研究了在复杂地表情况下利用折射法建立近地表模型的几种方法，同时为折射法解决复杂地表静校正问题提供了理论上的依据和参考。
3、目前很多学者和专家都认为层析静校正能反演任意介质的近地表速度模型，是解决复杂地表静校正最理想的静校正方法。但是层析静校正具有多解性，大量的数学计算对计算机硬件和软件提出了很高的要求，且由于受到初至波拾取以及诸多因素的影响，最终反演结果不都尽如人意。
4、目前静校正很多方法是基于地表一致性假设的，即假定地震波在近地表层是垂直传播，但这种假设并不严格符合真实情况，这样静校正计算难免会产生误差。另外任何物理测量和估计都不可避免地会出现误差，静校正技术也不例外，同时静校正技术一般包括了模型反演和静校正量计算两个过程，这两个过程都有很多种方法和技术。这些方法和技术都会产生一定的累计误差，如何去选择这些方法，控制静校正误差，也是做好静校正必须面临的一个难题。
解决复杂地表静校正问题是一个很复杂的过程，任何想依靠其中一种静校正方法和技术去解决所有复杂地表静校正问题都是片面的、不切实际的想法。要想解决好复杂地表静校正问题，在野外：必须根据地震资料的近地表实际情况，利用尽可能多的近地表条件资料和信息；在室内：需要采用合理有效的配套静校正技术，同时尽量把每种静校正技术的误差降低到最小，才有希望解决好复杂地表静校正问题。论文正是从这一点出发，研究了一套解决复杂地表静校正问题的相关技术和方法，其中重点研究了发现静校正问题的静校正评价技术研究；提高静校正计算精度和效率的约束初至波自动拾取和能量相关综合初至波自动拾取研究；解决静校正问题的折射波建立复杂近地表模型研究；把静校正误差降低到最小的误差分析研究；维护静校正效果的相位调整反褶积静校正技术等几种静校正方法。
所以，本次工作主要在以下几个方面有所突破：①地震数据处理中静校正问题是否存在，需要一种或者多种静校正评价技术去衡量。本论文研究了几种不同种类的静校正评价方法，通过静校正曲线显示、拟合前后综合误差显示、静校正应用前后对比、以及叠加剖面对比去衡量和评价静校正效果，为地震数据处理发现静校正问题，选择合适的静校正技术解决问题提供帮助和支持。②为让地震数据初至波自动拾取尽可能达到静校正要求，论文提出了地表一致性约束初至波自动拾取和能量相关综合初至波自动拾取两种方法。其中地表一致性约束初至波自动拾取利用初至波地表一致性关系，通过种子炮的精确初至拾取进行外推，再用这个初至把非种子炮的初至拾取限制在在很小的范围内，这样可以避开噪声对初至拾取的影响，达到提高非种子炮初至波拾取效率和精度的目的。而能量相关综合初至波自动拾取是充分利用能量比值法和相关法的各自初至拾取优点，达到优化初至波拾取效率和精度的目的。这两种方法都具有很强抗噪音能力，在很大程度上减少了人工拾取初至的工作量。③对折射法建立复杂近地表模型以及相应的静校正问题研究了一套新的思路和想法。论文对折射法静校正的原理进行了深入的剖析，分析了现阶段由于人们对折射法认识不足暴露出的一些问题。论文把复杂地表情况分为地表倾斜、地表任意起伏、折射面倾斜、折射面任意起伏四种情况，并对这四种情况用折射法建立近地表模型进行理论推导、模型验证和实际地震数据应用分析，同时对建模时如何适应表层速度横向变化进行了探讨和研究。为如何灵活利用折射法原理建立相应的近地表模型，解决复杂地表静校正问题奠定了理论基础。④论文对初至波表层模型层析反演以及波场延拓静校正方法进行了理论上的推导，以及理论数据和实际地震数据分析，并对这类静校正技术具备了常规静校正技术所不具备的一些优势进行了研究。与此同时，论文对产生静校正计算误差的原因和情况进行了分析研究，通过对精确剥去风化层和粗略剥去风化层产生误差的分析结果，证明了部分回填法静校正方法更适用于非铅垂射线情况，但要想完全适合射线的非铅垂情况，必须采用波场延拓的静校正方法。论文误差分析研究为静校正计算如何减少误差奠定了理论基础⑤为减少人工拾取初至的工作量，本论文对波形时间运算进行了初步研究，并且把波形时间运算引入到了折射波静校正运算中。论文研究的波形时间运算初至波静校正方法是利用初至波的一整段波形，用褶积表示波形时间相加运算，用反褶积表示波形时间相减运算，这样静校正计算时差就是褶积或者反褶积后的一段波形。从而减免了初至波拾取的人工劳动⑥为尽量保证反褶积不影响静校正的效果，论文提出了一种基于相位调整的反褶积静校正技术。这种技术在反褶积的同时进行了反褶积因子的大小相位判断和调整，实现解决剩余短波长校正量的目的。这样提高了地震数据分辨率的同时又能提高地震数据信噪比。
Numerous static correction methods for reflection seismic exploration have beendeveloped since digital processing method was introduced into seismic data processing,which firstly occurred at1960s. Although in today static correction remains a challengein current seismic data processing, especially in those areas with complex topography.These difficulties are mainly classified as follows：
1. It’s hard to keep accurate first arrival picking due to rapidly change in headwave energy, waveform and phase consistence in those complex zones, whilstoccasionally impacted by the presence of strong near surface noises. Additionally,with huge data volume,at present, the efficiency has taken the first place intoconsideration for picking algorithms. Most current auto-pick schemes confrontdifficulty either in precision or efficiency when dealing with these circumstances.
2. Refraction static requires a horizontal refraction interface and no lateral velocityvariation, with a surface consistent assumption. These conditions are not satisfied withrugged topography and strong variations in thickness and velocities in low velocitylayers in complex surveys. Reflection hyperbola of seismic data distortions from thesesurveys make inconsistent event to stack, finally influence the imaging quality. Mostexperiential scholars in seismic survey domain believe that refraction methods werepoor in constructing complex near surface modes. However, we will show in ourresearch the ability to build a complex near surface velocity mode by using a refractionmethod.
3. Tomography has been used to invert near earth surface velocity model forarbitrary complex underground media and is considered as an idea way to resolve thestatic problem in complex surveys. But drawbacks such as uncertainties in tomography solution and huge amount of computation cost as well as first break picking errorsmake it hard to use, thus impede its industrial application.
4. Most current refraction solutions utilize surface consistent hypothesis, which donot always coincide with the real cases. Therefore errors are not avoidable in laterseismic data processing. Physical measurement errors aroused in field geometry alsoinvolved in static estimation. Moreover, more numerical errors are accumulated duringnear surface velocity inversion and static computation when handled by various staticmethods, thus impose bad influence on imaging qualities. So, how to choose properstatic methods to limit static error propagation is an important issue and has beencarefully investigated in our dissertation.
As is well known it is very hard to overcome those cumbersome circumstances.As a result we should never trap ourselves into a certain kind of static method. In fact,in the field investigation we need to examine the near surface conditions carefully andcollect as more information as required, and must select a composition of proper staticmethods in later data processing procedures. These works help us to lessen errors tolowest level thus attain a better static solution. In my thesis I probe a series of factorsthat influenced by the complex near-surface static problems includes: static estimatingmethods used to find out static solutions, constrained first wave auto-pick method and acombined energy ratio and normalized auto-correlation first break auto-pick method toimprove picking precision and efficiency, study concerning how to construct complexnear surface models by using refraction waves, and error analyze method to cut downerrors to the lowest level, and a minimum or maximum phase deconvolution operatoradjustment method to promote the static effect.
Innovations In my thesis are listed as follows: First, I investigate several staticeffect measurement methods，including static curve display, fitting error display,difference display before and after static application and stacking profile display toanalyze static correction effectiveness, and to help users to determine a better staticmethod; Second, I propose a new first arrival auto-pick scheme based onsurface-consistent constraints, and also a new auto-pick scheme containing acombination of energy ratio of envelopes and normalized auto-correlations. Theconstrained surface-consistent auto-pick method utilize the accurate picking of the seedshot to extrapolate and limit other non-seed shots. However, the new energy ratioauto-pick scheme combined the advantage of the conventional energy ratio auto-pickmethod and the auto-correlation auto-pick method to improve auto-pick precisions. Mytwo methods can tolerate more noisy seismic data, and reduce manual works significantly; Third, I suggest a new approach for constructing complex near-surfacemodels by using refraction method, and also comment some relative static issues. Ianalyze fundamental principles of refraction statics and dispose some problems due toinsufficient acknowledgement of the refraction. I categorize complex topography intofour types: surface undulating, random surface undulating, refractor undulating andrandom refractor undulating, and some theoretical derivation and field data applicationalso illustrated. A further discussion focus on how to satisfy lateral velocity variationswhen build the shallow model. Fourth, I derive travel time tomography statics formulaand wave equation datum correction formula theoretically, and also conduct somenumerical experiments, in order to offer explanation about their outperform thanconventional static correction methods. I also investigate how to eliminate errors invelocity model calculation and static estimations. Through the detailed comparison ofthe rough and precise strip weathering layers, I proved that partial-filling static only issuitable for vertical rays. In case of non-vertical ray occasions WED should be usedinstead; Fifth, I introduce a new kind of static method, named waveform time-shiftcomputation in first arrival wave statics. Here, it is the first to be introduced in currentrefraction statics industry. Waveform time-shift computation involves using a segmentof the first arrival waveform to compute the waveform time, in order to replace directtime algebraic operation, and the result is also a small segment of waveforms; Finally, Ishow a static technique based on the adjustment of minimum and maximum phasecorrection in deconvolution. In my thesis, I estimate weather it was minimum ormaximum phase in current deconvolution operator, and choose the right operator toimplement, and also adjust the phase of the deconvolution result in case of themaximum phase. The phase adjustment improve both the seismic data resolution andthe S/N ratios.
1、由于复杂近地表条件初至波能量特征、波形特征、相位特征变化较大，又经常受噪音的影响，所以初至波很难准确拾取。再加上目前地震采集多为三维勘探，数据量庞大，初至拾取效率不高。如何快速、准确地拾取初至是解决复杂地表静校正问题面临的第一个难题。目前初至波自动拾取方法的精度和效率已经无法满足这类复杂地表大数据量初至波拾取的要求。
2、折射波静校正是地表一致性静校正方法，常常以地面和折射面水平、速度横向不变作为前提条件。由于复杂地震勘探区域的地表起伏大，近地表厚度、速度变化复杂，致使接收到的反射波时距曲线发生畸变，叠加时不能同相叠加。对于这类实际生产中遇到的复杂地表静校正问题，目前人们都基本上无法摆脱浅层折射法的前提，认为不能进行比较复杂的近地表建模。为此，论文研究了在复杂地表情况下利用折射法建立近地表模型的几种方法，同时为折射法解决复杂地表静校正问题提供了理论上的依据和参考。
3、目前很多学者和专家都认为层析静校正能反演任意介质的近地表速度模型，是解决复杂地表静校正最理想的静校正方法。但是层析静校正具有多解性，大量的数学计算对计算机硬件和软件提出了很高的要求，且由于受到初至波拾取以及诸多因素的影响，最终反演结果不都尽如人意。
4、目前静校正很多方法是基于地表一致性假设的，即假定地震波在近地表层是垂直传播，但这种假设并不严格符合真实情况，这样静校正计算难免会产生误差。另外任何物理测量和估计都不可避免地会出现误差，静校正技术也不例外，同时静校正技术一般包括了模型反演和静校正量计算两个过程，这两个过程都有很多种方法和技术。这些方法和技术都会产生一定的累计误差，如何去选择这些方法，控制静校正误差，也是做好静校正必须面临的一个难题。
解决复杂地表静校正问题是一个很复杂的过程，任何想依靠其中一种静校正方法和技术去解决所有复杂地表静校正问题都是片面的、不切实际的想法。要想解决好复杂地表静校正问题，在野外：必须根据地震资料的近地表实际情况，利用尽可能多的近地表条件资料和信息；在室内：需要采用合理有效的配套静校正技术，同时尽量把每种静校正技术的误差降低到最小，才有希望解决好复杂地表静校正问题。论文正是从这一点出发，研究了一套解决复杂地表静校正问题的相关技术和方法，其中重点研究了发现静校正问题的静校正评价技术研究；提高静校正计算精度和效率的约束初至波自动拾取和能量相关综合初至波自动拾取研究；解决静校正问题的折射波建立复杂近地表模型研究；把静校正误差降低到最小的误差分析研究；维护静校正效果的相位调整反褶积静校正技术等几种静校正方法。
所以，本次工作主要在以下几个方面有所突破：①地震数据处理中静校正问题是否存在，需要一种或者多种静校正评价技术去衡量。本论文研究了几种不同种类的静校正评价方法，通过静校正曲线显示、拟合前后综合误差显示、静校正应用前后对比、以及叠加剖面对比去衡量和评价静校正效果，为地震数据处理发现静校正问题，选择合适的静校正技术解决问题提供帮助和支持。②为让地震数据初至波自动拾取尽可能达到静校正要求，论文提出了地表一致性约束初至波自动拾取和能量相关综合初至波自动拾取两种方法。其中地表一致性约束初至波自动拾取利用初至波地表一致性关系，通过种子炮的精确初至拾取进行外推，再用这个初至把非种子炮的初至拾取限制在在很小的范围内，这样可以避开噪声对初至拾取的影响，达到提高非种子炮初至波拾取效率和精度的目的。而能量相关综合初至波自动拾取是充分利用能量比值法和相关法的各自初至拾取优点，达到优化初至波拾取效率和精度的目的。这两种方法都具有很强抗噪音能力，在很大程度上减少了人工拾取初至的工作量。③对折射法建立复杂近地表模型以及相应的静校正问题研究了一套新的思路和想法。论文对折射法静校正的原理进行了深入的剖析，分析了现阶段由于人们对折射法认识不足暴露出的一些问题。论文把复杂地表情况分为地表倾斜、地表任意起伏、折射面倾斜、折射面任意起伏四种情况，并对这四种情况用折射法建立近地表模型进行理论推导、模型验证和实际地震数据应用分析，同时对建模时如何适应表层速度横向变化进行了探讨和研究。为如何灵活利用折射法原理建立相应的近地表模型，解决复杂地表静校正问题奠定了理论基础。④论文对初至波表层模型层析反演以及波场延拓静校正方法进行了理论上的推导，以及理论数据和实际地震数据分析，并对这类静校正技术具备了常规静校正技术所不具备的一些优势进行了研究。与此同时，论文对产生静校正计算误差的原因和情况进行了分析研究，通过对精确剥去风化层和粗略剥去风化层产生误差的分析结果，证明了部分回填法静校正方法更适用于非铅垂射线情况，但要想完全适合射线的非铅垂情况，必须采用波场延拓的静校正方法。论文误差分析研究为静校正计算如何减少误差奠定了理论基础⑤为减少人工拾取初至的工作量，本论文对波形时间运算进行了初步研究，并且把波形时间运算引入到了折射波静校正运算中。论文研究的波形时间运算初至波静校正方法是利用初至波的一整段波形，用褶积表示波形时间相加运算，用反褶积表示波形时间相减运算，这样静校正计算时差就是褶积或者反褶积后的一段波形。从而减免了初至波拾取的人工劳动⑥为尽量保证反褶积不影响静校正的效果，论文提出了一种基于相位调整的反褶积静校正技术。这种技术在反褶积的同时进行了反褶积因子的大小相位判断和调整，实现解决剩余短波长校正量的目的。这样提高了地震数据分辨率的同时又能提高地震数据信噪比。
Numerous static correction methods for reflection seismic exploration have beendeveloped since digital processing method was introduced into seismic data processing,which firstly occurred at1960s. Although in today static correction remains a challengein current seismic data processing, especially in those areas with complex topography.These difficulties are mainly classified as follows：
1. It’s hard to keep accurate first arrival picking due to rapidly change in headwave energy, waveform and phase consistence in those complex zones, whilstoccasionally impacted by the presence of strong near surface noises. Additionally,with huge data volume,at present, the efficiency has taken the first place intoconsideration for picking algorithms. Most current auto-pick schemes confrontdifficulty either in precision or efficiency when dealing with these circumstances.
2. Refraction static requires a horizontal refraction interface and no lateral velocityvariation, with a surface consistent assumption. These conditions are not satisfied withrugged topography and strong variations in thickness and velocities in low velocitylayers in complex surveys. Reflection hyperbola of seismic data distortions from thesesurveys make inconsistent event to stack, finally influence the imaging quality. Mostexperiential scholars in seismic survey domain believe that refraction methods werepoor in constructing complex near surface modes. However, we will show in ourresearch the ability to build a complex near surface velocity mode by using a refractionmethod.
3. Tomography has been used to invert near earth surface velocity model forarbitrary complex underground media and is considered as an idea way to resolve thestatic problem in complex surveys. But drawbacks such as uncertainties in tomography solution and huge amount of computation cost as well as first break picking errorsmake it hard to use, thus impede its industrial application.
4. Most current refraction solutions utilize surface consistent hypothesis, which donot always coincide with the real cases. Therefore errors are not avoidable in laterseismic data processing. Physical measurement errors aroused in field geometry alsoinvolved in static estimation. Moreover, more numerical errors are accumulated duringnear surface velocity inversion and static computation when handled by various staticmethods, thus impose bad influence on imaging qualities. So, how to choose properstatic methods to limit static error propagation is an important issue and has beencarefully investigated in our dissertation.
As is well known it is very hard to overcome those cumbersome circumstances.As a result we should never trap ourselves into a certain kind of static method. In fact,in the field investigation we need to examine the near surface conditions carefully andcollect as more information as required, and must select a composition of proper staticmethods in later data processing procedures. These works help us to lessen errors tolowest level thus attain a better static solution. In my thesis I probe a series of factorsthat influenced by the complex near-surface static problems includes: static estimatingmethods used to find out static solutions, constrained first wave auto-pick method and acombined energy ratio and normalized auto-correlation first break auto-pick method toimprove picking precision and efficiency, study concerning how to construct complexnear surface models by using refraction waves, and error analyze method to cut downerrors to the lowest level, and a minimum or maximum phase deconvolution operatoradjustment method to promote the static effect.
Innovations In my thesis are listed as follows: First, I investigate several staticeffect measurement methods，including static curve display, fitting error display,difference display before and after static application and stacking profile display toanalyze static correction effectiveness, and to help users to determine a better staticmethod; Second, I propose a new first arrival auto-pick scheme based onsurface-consistent constraints, and also a new auto-pick scheme containing acombination of energy ratio of envelopes and normalized auto-correlations. Theconstrained surface-consistent auto-pick method utilize the accurate picking of the seedshot to extrapolate and limit other non-seed shots. However, the new energy ratioauto-pick scheme combined the advantage of the conventional energy ratio auto-pickmethod and the auto-correlation auto-pick method to improve auto-pick precisions. Mytwo methods can tolerate more noisy seismic data, and reduce manual works significantly; Third, I suggest a new approach for constructing complex near-surfacemodels by using refraction method, and also comment some relative static issues. Ianalyze fundamental principles of refraction statics and dispose some problems due toinsufficient acknowledgement of the refraction. I categorize complex topography intofour types: surface undulating, random surface undulating, refractor undulating andrandom refractor undulating, and some theoretical derivation and field data applicationalso illustrated. A further discussion focus on how to satisfy lateral velocity variationswhen build the shallow model. Fourth, I derive travel time tomography statics formulaand wave equation datum correction formula theoretically, and also conduct somenumerical experiments, in order to offer explanation about their outperform thanconventional static correction methods. I also investigate how to eliminate errors invelocity model calculation and static estimations. Through the detailed comparison ofthe rough and precise strip weathering layers, I proved that partial-filling static only issuitable for vertical rays. In case of non-vertical ray occasions WED should be usedinstead; Fifth, I introduce a new kind of static method, named waveform time-shiftcomputation in first arrival wave statics. Here, it is the first to be introduced in currentrefraction statics industry. Waveform time-shift computation involves using a segmentof the first arrival waveform to compute the waveform time, in order to replace directtime algebraic operation, and the result is also a small segment of waveforms; Finally, Ishow a static technique based on the adjustment of minimum and maximum phasecorrection in deconvolution. In my thesis, I estimate weather it was minimum ormaximum phase in current deconvolution operator, and choose the right operator toimplement, and also adjust the phase of the deconvolution result in case of themaximum phase. The phase adjustment improve both the seismic data resolution andthe S/N ratios.
引文
[1]熊翥,地震数据数字处理应用技术[M],北京,石油工业出版社,1993.
[2]杨海申,蒋先艺,高彦林等,复杂区三维折射静校正技术与应用效果[J],石油地球物理勘探，2005,40(2),219~225.
[3]王克斌,赵灵芝,张旭民,折射静校正在苏里格气田三维处理中的应用[J],石油物探，2003,42(2),249~51,
[4]江玉乐,钟本善,折射初至同相轴自动拾取[J].物探化探计算技术,1995,17(3),59~67.
[5]夏竹,张少华,王学军，中国西部复杂地区近地表特征与表层结构探讨，石油地球物理勘探,2003,38(4),414~424
[6]于岚,层析反演静校正技术应用研究《中国石油大学硕士论文》,2008.
[7]雷栋,胡祥云,地震层析成像方法综述,地震研究,2006,29(4),418~426
[8]吕子强,初至波地震层析成像研究《中国地震局兰州地震研究所硕士论文》,2009.
[9] Rothman,D.H.Nonliner inversion statical mechanics and residual statics estimation, Geophysics,1985,50,2786~2796.
[10]孙安辉,区域地壳速度结构的天然地震成像研究《中国地震局地震预测研究所硕士论文》,2007
[11] Um, J. and Thurber, C. A fast algorithm for two-points seismic ray tracing[J],Bull. Seis.Soc.Am.,1987,79,972~986.
[12]Vidale, J Finite-difference calculation of travel times[J].Bull.Seic.Soc.Am.,1988,78,2062~2076.
[13] Asawaka, E.And awanaka,T.Seismic ray tracing using linear traveltime interpolation[J].Geophysics,1993,57(2),326~333.
[14] Zhao Z. F. Fang Y. F. and Chen B. F. A free curved wave field extrapolation algorithm. Presetedat73rd SEG annual meeting,2003.
[15] Coster H P,王友仁译,地形起伏地区的静校正和动校正,57届SEG年会论文集.
[16] Ali Ak, M. An analytical raypath approach to the refraction wavefront method［J］,GeophysicalProspecting,1990,38(5),971~982.
[17] Matsuoka,T.and Ezalca.T. Ray tracing using reciprocity, Geophysical Prospecting,1992,41,99~111.
[18] Jin S and Madariaga S，Nonlinear velocity inversion by a two step Monte Carlo method.Geoohvsics.1994.59(4).577~582.
[19]黄德济,贺振华,包吉山,地震勘探资料数字处理[M],地质出版社,1990.
[20] Lee S.Kesidual static correction computation based ou molecular dynamic [A],64th Annlnternat Mtg [C] Tulsa SEG1994,1517~1520.
[21]戴云,塔里木盆地长波长静校正研究.博士学位论文,成都理工大学,2000.
[22]林伯香,孙晶梅,徐颖等.复杂地表条件静校正中的3D表层速度层析反演研究[J],石油物探，2005,44(5),454~457.
[23]冯泽元,李培民,唐海忠等.利用层析反演技术解决山地复杂区静校正问题[J],石油物探，2005,44(3),454~457.
[24] Chunduru R K. Sen M K and Stoffa P L,Hybrid optimization methods for geophysicalinversion[J], Geophysia.1997,62(4),1196~1201.
[25]陈启元,王彦春,段云卿等.复杂山区的静校正方法探讨[J]石油物探,2001,40(1),73~81.
[26]庄东海,许云,乌达巴拉,地震道时窗属性特征检测初至时间的研究[J],江汉石油学院学报,1999,21(4),45~48.
[27]张霖斌,姚振兴,纪晨.地震初至波走时的有限差分计算,地球物理学进展,1996,11(4),47~52.
[28] Gelchinsky.B.and Shtirelman,V.Automatic picking of first arrival and parameterization oftravel-time curves,Geophysical Prospection [J],1983,31,915~928.
[20] Marsden.D,1993, Static corrections-a review, Part II: The Leading Edge,12,115~120.
[29]朱金明,王丽燕.地震波走时的有限差分法计算[J],地球物理学报,1992,35(1),86~92.
[30]李辉峰,邹强,金文昱,基于边缘检测的初至波自动拾取方法[J],石油物探2006，41(2),150~159.
[31]潘树林,高磊,周熙襄,钟本善,基于单道边界检测和样条插值的初至波自动拾取,2006，45(3),245~249.
[32] Murat.M.Eetal.Automated first arrival Picking: A neural network approach.GeophysicalProspecting,1992,40(6),587~604.
[33]姚姚,用人工神经网络自动拾取地震初至[J].石油地球物理勘探,1994,29(1),112~116.
[34]刘连升,约束初至拾取与初至波剩余静校正[J].石油地球物理勘探,1998,33(5),604~610.
[35] Sheriff..R..E.Encyclopedic Dictionary of Exploration Geophysics,Third Edition,SEG,1991.
[36] Mota.L,Determination of dip and depths of geological layers by the seismic refractionmethod[J],Geophysics,1954,19,242~254.
[37] Hampson, D. and Russell, R. First break interpretation using generalized linear inverse [C],第54届SEG年会论文集.北京:石油工业出版社,1985,224~226.
[38]Palmer.D.An introduction to the generalized reciprocal method of seismic refractioninterpretation[J],Geophysics,1981,46,1508~1518.
[39] Hampson.D. and Russell.B.First-break interpretation using generalized inversion[J]. J. Can.Soc.Exploe. Geophys.,1984,20,40~54.
[40] Stefani, J. P.rning-ray tomography[J]. Geophysics,1995,60(6),1917~1929.
[41]Schneider.W.and Kuo.S.Refraction modeling for static corrections,55th SEG meeting,Washington, Expanded Abstracts,1985,295~299.
[42]陈祖传,LVL折射新方法.石油地球物理勘探,1996,31(1),55~62.
[43]冯泽元，徐文荣.地震勘探野外静校正量误差分折[J],石油地球物理勘探.1993,28(4)500~506.
[44] Wilson, W. G., W. G. Laidlaw and K. Vasudevan,1994, Residual statics estimation using thegenetic algorithm: Geophysics,59,766~774.
[45]Banta,H.E.,A refraction theory adaptable to seismic weathering problem,Geophysics,1941,6,245~253.
[46] Docherty, P Solving for the thickness and velocity of the weathering layer using2-D refractiontomography[J]. Geophysics,1992,57,1307~1318..
[47]甘布尔采夫等.对比折射法,俞寿朋译,地质出版社,1955.
[48]娜少英,何瑞珠,王巍,张朝峰,王金党,李丽.复杂地表条件下的静校正方法研究[J]，河南石油,2002,16(3),236~246.
[49]郑鸿明,娄兵,蒋在超.复杂地貌地区地震资料处理中的静校正方法[J],新疆石油地质,2002,23(3),234~244.
[50]林依华,张中杰,尹成,周熙襄,复杂地形条件下静校正的综合寻优[[J],地球物理学报,2003，46(1),101~107.
[51]王顺国,复杂山区静校正方法研究及效果[J],石油物探,1998,37(4),93~103.
[52]Matsuoka.T.Taner.M.T.Hayashi.T.Ashida.Y.Watanabe.T.and.Kasumi.H..Imaging.of,refractedwaves by convolution,70th Ann. Internat.Mtg: SEG,2000,1311~1314.
[53]王有新,复杂地表情况静动校正方案[J],石油地球物理勘探,2002,37(2),105~109.
[54]王进海,关于动,静校正的思考[J],石油地球物理勘探,1999,34(增刊),18~26.
[55] Coster H P,王友仁译,地形起伏地区的静校正和动校正,1987,57届SEG年会论文集.
[56]刘冶凡,基于浮动基准面的两步法静校正[J].石油物探,1998,37(1),136~142.
[57]李福元,赵瑞培.复杂地表地震资料的地形校正[[J],石油地球物理勘探2002,37(增刊),31~35.
[58] Matsuoka,T.and Ezalca.T.Ray tracing using reciprocity,Geophysical Prospecting,1992,41,99~111.
[59]陈裕明,李晶,唐湘蓉等,最小时间两点射线追踪.石油地球物理勘探,2002,37(5),455~459.
[60] Parrell, R..C. and Euwema, R,N,折射波路径的地表一致性分解,《美国勘探地球物理学家学会第54届年会论文集(地震及专题部分)》,石油工业出版社,1985,82~84.
[61]许琨,吴律,王妙月,改进Moser法射线追踪.地球物理学进展,1998,13(4),60~64.
[62]卞爱飞,於文辉,三维最短路径法射线追踪及改进[J].天然气工业,2006,26(5),43~45.
[63]田玥,陈晓非,水平分层均匀介质中的快速两点间射线追踪方法[A],中国地球物理学会第十九届年会论文集,2003年,519~524.
[64] Chen B.F. Zhao Z.F.Zhao B.Qian Z.P.and Zhu G..M.Tuning constrained first-arrival tomography.Presented at72nd SEG annual meeting,2002,882~885.
[65]赵传雪,王丽,吴靖,江伟,有限差分波动方程基准面校正方法及其在丘陵地区的应用[J]，《石油物探》，2009,48(5),505~561.
[66]刘素芹,何潮观,仝兆岐,在频率-波数域实现波动方程基准面校正[J],《石油地球物理勘探》,2009,44(1),49~53.
[67] Yilmaz O, Lucas D. Prestack layer replacement[J], Geophysics,1986,51(7),1355~1405.
[68] Osypov K.Robust refraction tomography[c]Expanded Abstract of70th Annual Internet SEGMtg,2000,2032~2035.
[69] Nemeth T, Normark E, Qin FH. Dynamic smoothing in crosswell traveltime tomography.GEOPHYSICS,1997,62(1),168~176.
[70] Vasco,D.W.Peterson J.E. and Majer E.L, Beyond ray tomography: Wavepaths and Fresnelvolumes, Geophysics,1995,60(6),1790~1804.
[71] Wang,Y. and Housemann,G.A.,1995,Tomographic inversion of seismology,Geophys, J. Int.,100:255~274.
[72] Taner, M. T. et al, Surface consistent corrections, Geohpysics,1981,46(1),17~22.
[73]凌云.模型初至地表一致性静校正[[J].石油地球物理勘探,1992,27(3),351~360.
[74]刘伊克,常旭,工辉等,三维复杂地形近地表速度估算及地震层析静校正[J],地球物理学报.2001,44(2),272~278.
[75]李录明,罗省贤,等初至波表层模型层析反演[J],石油地球物理勘探,2000,35(5),559~564.
[76]波场延拓表层模型校正,李录明,罗省贤石油地球物理勘探,2001,36(5),572~583.
[77]陈仲侯,付唯一,浅层地震勘探[C],成都:成都地质学院,1986.
[78]熊翥,复杂地区地震数据处理思路[M].北京:石油工业出版社,2002.
[79]熊晓军,贺振华,黄德济,复杂地表的单程波动方程地震叠前正演[J],油气地球物理,2006,4（21）,14~17.
[80]熊晓军,贺振华,黄德济.复杂地表条件下的地震波场模拟方法研究[J],西安石油大学学报，2006,21(6),5~7.
[81]熊晓军,贺振华,黄德济,起伏地表混合法波场延拓与成像[J],天然气工业,2007,27（1）,44-46.
[82]熊高君,贺振华等.共炮记录正演模拟检波点下延记录原理[J],石油物探,1999,38(2),43-49.
[83] Gauthier, O., J. Virieux, and A. Tarantola, Two-dimenstional nonlinear inversion of seismicwaveforms--Numerical results: Geophysics,1986,51,1387~1403.
[84]杨锴,王华忠,程玖兵,等非水平观测面有限差分叠前波动方程基准面校正[J],石油地球物理勘探,2002,37(2),154~162.
[85]贺振华,黄德济,胡光岷等.复杂油气藏地震波场特征方法理论及应用[M],成都:四川科学技术出版社,1999.
[86]陆基孟,地震勘探原理(上册)[M],北京:石油大学出版社,1993.
[87] Yilmaz O Z. Seismic data analysis[M].Tulsa: Society of Exploration Geophysicists,2001.
[88]熊晓军,贺振华,黄德济,复杂地表的单程波动方程地震叠前正演[J],油气地球物理,2006，4(21),14~17.
[89] Qin F,Luo Y,Olsen K B,Cai W and Schuster GT．Finite-difference solution of the eikonalequation along expanding wavefronts.Geophysics,1992,57(3),478~487.
[90] Cao Shunhua,Stewart Greenhalgh.Finite difference solution of the eikonal equation using anefficie nt,first arrival,wavefront tracking scheme.Geophysics,1994,59(4),632~643.
[91] Ali Ak, M. An analytical raypath approach to the refraction wavefront method[J],GeophysicalProspecting,1990,38(5),971~982.
[92] Hudson J A. Wave speeds and attenuation of elastic wave in material containing cracks[J]，Geophysical Journal of the Royal Astronomiacl Society,1981,64(1),133~150.
[93] Dan Kosloff&Baysal E.Migration with the full wave-equation[J],Geophysics,1983,48(3),677~687.
[94] Alfonso Gonzalez-Serrano et al, Wave-equation velocity analysis[J],Geophysics,1984,49(9),1432~1456.
[95] Berryhill J R.Wave equation datuming before stack. Geophysics,1984,49(11),2064~2066.
[96] Kelly, K., R. Ward, S. Treitel and R. Alford, Synthetic seismograms: a finite-differenceapproach: Geophysics,1976,41,2~27.
[97] Qin F,Luo Y,Olsen K B,Cai W and Schuster GT．Finite-difference solution of the eikonalequation along expanding wavefronts.Geophysics,1992,57(3),478~487.
[98] Cao Shunhua,Stewart Greenhalgh,Finite difference solution of the eikonal equation using anefficie nt,first arrival,wavefront tracking scheme. Geophysics,1994,59(4),632~643.
[99]刘振宽,于晶,静校正综述,国外油气勘探，1994,4,493~505.
[100]吴伟,地震资料处理剩余静校正技术研究吴伟《中国海洋大学硕士论文》,2003
[101] Marsden, D, Static corrections-a review, Part II: The Leading Edge,1993,12,115~120.
[102]赵峰,郑鸿明.叠加法静校正[[J].石油地球物理勘探,2002,37(增刊),105~107.
[103] Moser,A,R.等:三维剩余静校正《美国勘探地球物理学家学会第54届年会论文集(地震及专题部分)》,石油工业出版社,1985,84~89.
[104]姚付生,巫盛洪,杨旭明,彭怀春.混合优化算法剩余静校正[J].石油地球物理勘探,2002,71~74.
[105]黄鑫，复杂地区低信噪比地震资料处理方法研究《成都理工大学硕士论文》,2009.
[106]李辉峰,非线性全局最优化方法在剩余静校正问题中的应用研究《成都理工大学博士论文》,2006
[107]彭真明,地震反演中的非线性优化方法及应用研究《成都理工学院博士论文》,2001.
[108]李大卫,王梦光,一种改进的混合遗传算法[[J],信息与控制,1997,26(6),449~454.
[109]姚付生,巫盛洪,杨旭明,彭怀春,混合优化算法剩余静校正,石油地球物理勘探[J],2002,37（增刊）71~74.
[110]梁艳春,周春光,李寿范,基于遗传算法函数优化问题的研究[J],软件学报,1997,8(8),701~708.
[111]彭真明,韩燕君,遗传算法及其在剩余静校正中的应用[J],断块油气田,1998,5(1),5~8
[112] Boschetti F, Dentith M C. and List R D. Inversion of seisnnic refraction data using geneticalgorithm[J], Geophysics.1996,61(6),1715~1727.
[113] Curtis A.and Snieder R..Reconditioning inverse problems using the genetic algorithms andrevised parameterization[J],Geophysics,199762(4),1524~1532.
[114] Glover F,Kelly J,Laguna M. Genetic algorithms and tabu search: hybrids for optimizations[J]Computers Op s. Res,199522(1),111~134.
[115] Home S and MoubethC,Inversion for anisatropy using genetic algorithms[J],Geophysicalprospecting1994,42,953~974.
[116] Porsani,M.J.andUrsin,B,1998,Mixed-phasedeconvolution,Geophysics,63,637~647.
[2]杨海申,蒋先艺,高彦林等,复杂区三维折射静校正技术与应用效果[J],石油地球物理勘探，2005,40(2),219~225.
[3]王克斌,赵灵芝,张旭民,折射静校正在苏里格气田三维处理中的应用[J],石油物探，2003,42(2),249~51,
[4]江玉乐,钟本善,折射初至同相轴自动拾取[J].物探化探计算技术,1995,17(3),59~67.
[5]夏竹,张少华,王学军，中国西部复杂地区近地表特征与表层结构探讨，石油地球物理勘探,2003,38(4),414~424
[6]于岚,层析反演静校正技术应用研究《中国石油大学硕士论文》,2008.
[7]雷栋,胡祥云,地震层析成像方法综述,地震研究,2006,29(4),418~426
[8]吕子强,初至波地震层析成像研究《中国地震局兰州地震研究所硕士论文》,2009.
[9] Rothman,D.H.Nonliner inversion statical mechanics and residual statics estimation, Geophysics,1985,50,2786~2796.
[10]孙安辉,区域地壳速度结构的天然地震成像研究《中国地震局地震预测研究所硕士论文》,2007
[11] Um, J. and Thurber, C. A fast algorithm for two-points seismic ray tracing[J],Bull. Seis.Soc.Am.,1987,79,972~986.
[12]Vidale, J Finite-difference calculation of travel times[J].Bull.Seic.Soc.Am.,1988,78,2062~2076.
[13] Asawaka, E.And awanaka,T.Seismic ray tracing using linear traveltime interpolation[J].Geophysics,1993,57(2),326~333.
[14] Zhao Z. F. Fang Y. F. and Chen B. F. A free curved wave field extrapolation algorithm. Presetedat73rd SEG annual meeting,2003.
[15] Coster H P,王友仁译,地形起伏地区的静校正和动校正,57届SEG年会论文集.
[16] Ali Ak, M. An analytical raypath approach to the refraction wavefront method［J］,GeophysicalProspecting,1990,38(5),971~982.
[17] Matsuoka,T.and Ezalca.T. Ray tracing using reciprocity, Geophysical Prospecting,1992,41,99~111.
[18] Jin S and Madariaga S，Nonlinear velocity inversion by a two step Monte Carlo method.Geoohvsics.1994.59(4).577~582.
[19]黄德济,贺振华,包吉山,地震勘探资料数字处理[M],地质出版社,1990.
[20] Lee S.Kesidual static correction computation based ou molecular dynamic [A],64th Annlnternat Mtg [C] Tulsa SEG1994,1517~1520.
[21]戴云,塔里木盆地长波长静校正研究.博士学位论文,成都理工大学,2000.
[22]林伯香,孙晶梅,徐颖等.复杂地表条件静校正中的3D表层速度层析反演研究[J],石油物探，2005,44(5),454~457.
[23]冯泽元,李培民,唐海忠等.利用层析反演技术解决山地复杂区静校正问题[J],石油物探，2005,44(3),454~457.
[24] Chunduru R K. Sen M K and Stoffa P L,Hybrid optimization methods for geophysicalinversion[J], Geophysia.1997,62(4),1196~1201.
[25]陈启元,王彦春,段云卿等.复杂山区的静校正方法探讨[J]石油物探,2001,40(1),73~81.
[26]庄东海,许云,乌达巴拉,地震道时窗属性特征检测初至时间的研究[J],江汉石油学院学报,1999,21(4),45~48.
[27]张霖斌,姚振兴,纪晨.地震初至波走时的有限差分计算,地球物理学进展,1996,11(4),47~52.
[28] Gelchinsky.B.and Shtirelman,V.Automatic picking of first arrival and parameterization oftravel-time curves,Geophysical Prospection [J],1983,31,915~928.
[20] Marsden.D,1993, Static corrections-a review, Part II: The Leading Edge,12,115~120.
[29]朱金明,王丽燕.地震波走时的有限差分法计算[J],地球物理学报,1992,35(1),86~92.
[30]李辉峰,邹强,金文昱,基于边缘检测的初至波自动拾取方法[J],石油物探2006，41(2),150~159.
[31]潘树林,高磊,周熙襄,钟本善,基于单道边界检测和样条插值的初至波自动拾取,2006，45(3),245~249.
[32] Murat.M.Eetal.Automated first arrival Picking: A neural network approach.GeophysicalProspecting,1992,40(6),587~604.
[33]姚姚,用人工神经网络自动拾取地震初至[J].石油地球物理勘探,1994,29(1),112~116.
[34]刘连升,约束初至拾取与初至波剩余静校正[J].石油地球物理勘探,1998,33(5),604~610.
[35] Sheriff..R..E.Encyclopedic Dictionary of Exploration Geophysics,Third Edition,SEG,1991.
[36] Mota.L,Determination of dip and depths of geological layers by the seismic refractionmethod[J],Geophysics,1954,19,242~254.
[37] Hampson, D. and Russell, R. First break interpretation using generalized linear inverse [C],第54届SEG年会论文集.北京:石油工业出版社,1985,224~226.
[38]Palmer.D.An introduction to the generalized reciprocal method of seismic refractioninterpretation[J],Geophysics,1981,46,1508~1518.
[39] Hampson.D. and Russell.B.First-break interpretation using generalized inversion[J]. J. Can.Soc.Exploe. Geophys.,1984,20,40~54.
[40] Stefani, J. P.rning-ray tomography[J]. Geophysics,1995,60(6),1917~1929.
[41]Schneider.W.and Kuo.S.Refraction modeling for static corrections,55th SEG meeting,Washington, Expanded Abstracts,1985,295~299.
[42]陈祖传,LVL折射新方法.石油地球物理勘探,1996,31(1),55~62.
[43]冯泽元，徐文荣.地震勘探野外静校正量误差分折[J],石油地球物理勘探.1993,28(4)500~506.
[44] Wilson, W. G., W. G. Laidlaw and K. Vasudevan,1994, Residual statics estimation using thegenetic algorithm: Geophysics,59,766~774.
[45]Banta,H.E.,A refraction theory adaptable to seismic weathering problem,Geophysics,1941,6,245~253.
[46] Docherty, P Solving for the thickness and velocity of the weathering layer using2-D refractiontomography[J]. Geophysics,1992,57,1307~1318..
[47]甘布尔采夫等.对比折射法,俞寿朋译,地质出版社,1955.
[48]娜少英,何瑞珠,王巍,张朝峰,王金党,李丽.复杂地表条件下的静校正方法研究[J]，河南石油,2002,16(3),236~246.
[49]郑鸿明,娄兵,蒋在超.复杂地貌地区地震资料处理中的静校正方法[J],新疆石油地质,2002,23(3),234~244.
[50]林依华,张中杰,尹成,周熙襄,复杂地形条件下静校正的综合寻优[[J],地球物理学报,2003，46(1),101~107.
[51]王顺国,复杂山区静校正方法研究及效果[J],石油物探,1998,37(4),93~103.
[52]Matsuoka.T.Taner.M.T.Hayashi.T.Ashida.Y.Watanabe.T.and.Kasumi.H..Imaging.of,refractedwaves by convolution,70th Ann. Internat.Mtg: SEG,2000,1311~1314.
[53]王有新,复杂地表情况静动校正方案[J],石油地球物理勘探,2002,37(2),105~109.
[54]王进海,关于动,静校正的思考[J],石油地球物理勘探,1999,34(增刊),18~26.
[55] Coster H P,王友仁译,地形起伏地区的静校正和动校正,1987,57届SEG年会论文集.
[56]刘冶凡,基于浮动基准面的两步法静校正[J].石油物探,1998,37(1),136~142.
[57]李福元,赵瑞培.复杂地表地震资料的地形校正[[J],石油地球物理勘探2002,37(增刊),31~35.
[58] Matsuoka,T.and Ezalca.T.Ray tracing using reciprocity,Geophysical Prospecting,1992,41,99~111.
[59]陈裕明,李晶,唐湘蓉等,最小时间两点射线追踪.石油地球物理勘探,2002,37(5),455~459.
[60] Parrell, R..C. and Euwema, R,N,折射波路径的地表一致性分解,《美国勘探地球物理学家学会第54届年会论文集(地震及专题部分)》,石油工业出版社,1985,82~84.
[61]许琨,吴律,王妙月,改进Moser法射线追踪.地球物理学进展,1998,13(4),60~64.
[62]卞爱飞,於文辉,三维最短路径法射线追踪及改进[J].天然气工业,2006,26(5),43~45.
[63]田玥,陈晓非,水平分层均匀介质中的快速两点间射线追踪方法[A],中国地球物理学会第十九届年会论文集,2003年,519~524.
[64] Chen B.F. Zhao Z.F.Zhao B.Qian Z.P.and Zhu G..M.Tuning constrained first-arrival tomography.Presented at72nd SEG annual meeting,2002,882~885.
[65]赵传雪,王丽,吴靖,江伟,有限差分波动方程基准面校正方法及其在丘陵地区的应用[J]，《石油物探》，2009,48(5),505~561.
[66]刘素芹,何潮观,仝兆岐,在频率-波数域实现波动方程基准面校正[J],《石油地球物理勘探》,2009,44(1),49~53.
[67] Yilmaz O, Lucas D. Prestack layer replacement[J], Geophysics,1986,51(7),1355~1405.
[68] Osypov K.Robust refraction tomography[c]Expanded Abstract of70th Annual Internet SEGMtg,2000,2032~2035.
[69] Nemeth T, Normark E, Qin FH. Dynamic smoothing in crosswell traveltime tomography.GEOPHYSICS,1997,62(1),168~176.
[70] Vasco,D.W.Peterson J.E. and Majer E.L, Beyond ray tomography: Wavepaths and Fresnelvolumes, Geophysics,1995,60(6),1790~1804.
[71] Wang,Y. and Housemann,G.A.,1995,Tomographic inversion of seismology,Geophys, J. Int.,100:255~274.
[72] Taner, M. T. et al, Surface consistent corrections, Geohpysics,1981,46(1),17~22.
[73]凌云.模型初至地表一致性静校正[[J].石油地球物理勘探,1992,27(3),351~360.
[74]刘伊克,常旭,工辉等,三维复杂地形近地表速度估算及地震层析静校正[J],地球物理学报.2001,44(2),272~278.
[75]李录明,罗省贤,等初至波表层模型层析反演[J],石油地球物理勘探,2000,35(5),559~564.
[76]波场延拓表层模型校正,李录明,罗省贤石油地球物理勘探,2001,36(5),572~583.
[77]陈仲侯,付唯一,浅层地震勘探[C],成都:成都地质学院,1986.
[78]熊翥,复杂地区地震数据处理思路[M].北京:石油工业出版社,2002.
[79]熊晓军,贺振华,黄德济,复杂地表的单程波动方程地震叠前正演[J],油气地球物理,2006,4（21）,14~17.
[80]熊晓军,贺振华,黄德济.复杂地表条件下的地震波场模拟方法研究[J],西安石油大学学报，2006,21(6),5~7.
[81]熊晓军,贺振华,黄德济,起伏地表混合法波场延拓与成像[J],天然气工业,2007,27（1）,44-46.
[82]熊高君,贺振华等.共炮记录正演模拟检波点下延记录原理[J],石油物探,1999,38(2),43-49.
[83] Gauthier, O., J. Virieux, and A. Tarantola, Two-dimenstional nonlinear inversion of seismicwaveforms--Numerical results: Geophysics,1986,51,1387~1403.
[84]杨锴,王华忠,程玖兵,等非水平观测面有限差分叠前波动方程基准面校正[J],石油地球物理勘探,2002,37(2),154~162.
[85]贺振华,黄德济,胡光岷等.复杂油气藏地震波场特征方法理论及应用[M],成都:四川科学技术出版社,1999.
[86]陆基孟,地震勘探原理(上册)[M],北京:石油大学出版社,1993.
[87] Yilmaz O Z. Seismic data analysis[M].Tulsa: Society of Exploration Geophysicists,2001.
[88]熊晓军,贺振华,黄德济,复杂地表的单程波动方程地震叠前正演[J],油气地球物理,2006，4(21),14~17.
[89] Qin F,Luo Y,Olsen K B,Cai W and Schuster GT．Finite-difference solution of the eikonalequation along expanding wavefronts.Geophysics,1992,57(3),478~487.
[90] Cao Shunhua,Stewart Greenhalgh.Finite difference solution of the eikonal equation using anefficie nt,first arrival,wavefront tracking scheme.Geophysics,1994,59(4),632~643.
[91] Ali Ak, M. An analytical raypath approach to the refraction wavefront method[J],GeophysicalProspecting,1990,38(5),971~982.
[92] Hudson J A. Wave speeds and attenuation of elastic wave in material containing cracks[J]，Geophysical Journal of the Royal Astronomiacl Society,1981,64(1),133~150.
[93] Dan Kosloff&Baysal E.Migration with the full wave-equation[J],Geophysics,1983,48(3),677~687.
[94] Alfonso Gonzalez-Serrano et al, Wave-equation velocity analysis[J],Geophysics,1984,49(9),1432~1456.
[95] Berryhill J R.Wave equation datuming before stack. Geophysics,1984,49(11),2064~2066.
[96] Kelly, K., R. Ward, S. Treitel and R. Alford, Synthetic seismograms: a finite-differenceapproach: Geophysics,1976,41,2~27.
[97] Qin F,Luo Y,Olsen K B,Cai W and Schuster GT．Finite-difference solution of the eikonalequation along expanding wavefronts.Geophysics,1992,57(3),478~487.
[98] Cao Shunhua,Stewart Greenhalgh,Finite difference solution of the eikonal equation using anefficie nt,first arrival,wavefront tracking scheme. Geophysics,1994,59(4),632~643.
[99]刘振宽,于晶,静校正综述,国外油气勘探，1994,4,493~505.
[100]吴伟,地震资料处理剩余静校正技术研究吴伟《中国海洋大学硕士论文》,2003
[101] Marsden, D, Static corrections-a review, Part II: The Leading Edge,1993,12,115~120.
[102]赵峰,郑鸿明.叠加法静校正[[J].石油地球物理勘探,2002,37(增刊),105~107.
[103] Moser,A,R.等:三维剩余静校正《美国勘探地球物理学家学会第54届年会论文集(地震及专题部分)》,石油工业出版社,1985,84~89.
[104]姚付生,巫盛洪,杨旭明,彭怀春.混合优化算法剩余静校正[J].石油地球物理勘探,2002,71~74.
[105]黄鑫，复杂地区低信噪比地震资料处理方法研究《成都理工大学硕士论文》,2009.
[106]李辉峰,非线性全局最优化方法在剩余静校正问题中的应用研究《成都理工大学博士论文》,2006
[107]彭真明,地震反演中的非线性优化方法及应用研究《成都理工学院博士论文》,2001.
[108]李大卫,王梦光,一种改进的混合遗传算法[[J],信息与控制,1997,26(6),449~454.
[109]姚付生,巫盛洪,杨旭明,彭怀春,混合优化算法剩余静校正,石油地球物理勘探[J],2002,37（增刊）71~74.
[110]梁艳春,周春光,李寿范,基于遗传算法函数优化问题的研究[J],软件学报,1997,8(8),701~708.
[111]彭真明,韩燕君,遗传算法及其在剩余静校正中的应用[J],断块油气田,1998,5(1),5~8
[112] Boschetti F, Dentith M C. and List R D. Inversion of seisnnic refraction data using geneticalgorithm[J], Geophysics.1996,61(6),1715~1727.
[113] Curtis A.and Snieder R..Reconditioning inverse problems using the genetic algorithms andrevised parameterization[J],Geophysics,199762(4),1524~1532.
[114] Glover F,Kelly J,Laguna M. Genetic algorithms and tabu search: hybrids for optimizations[J]Computers Op s. Res,199522(1),111~134.
[115] Home S and MoubethC,Inversion for anisatropy using genetic algorithms[J],Geophysicalprospecting1994,42,953~974.
[116] Porsani,M.J.andUrsin,B,1998,Mixed-phasedeconvolution,Geophysics,63,637~647.
© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号 地址：北京市海淀区学院路29号 邮编：100083 电话：办公室：(+86 10)66554848；文献借阅、咨询服务、科技查新：66554700 |