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WO2016008100A1 - Three-dimensional seismic anisotropic medium reverse time migration imaging method and device - Google Patents

Three-dimensional seismic anisotropic medium reverse time migration imaging method and device Download PDF

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Publication number
WO2016008100A1
WO2016008100A1 PCT/CN2014/082257 CN2014082257W WO2016008100A1 WO 2016008100 A1 WO2016008100 A1 WO 2016008100A1 CN 2014082257 W CN2014082257 W CN 2014082257W WO 2016008100 A1 WO2016008100 A1 WO 2016008100A1
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Prior art keywords
shot
sin
imaging
reverse time
time migration
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PCT/CN2014/082257
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French (fr)
Chinese (zh)
Inventor
杨顺伟
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杨顺伟
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Priority to CN201480002794.3A priority Critical patent/CN104937440A/en
Priority to PCT/CN2014/082257 priority patent/WO2016008100A1/en
Publication of WO2016008100A1 publication Critical patent/WO2016008100A1/en

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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01VGEOPHYSICS; GRAVITATIONAL MEASUREMENTS; DETECTING MASSES OR OBJECTS; TAGS
    • G01V1/00Seismology; Seismic or acoustic prospecting or detecting
    • G01V1/28Processing seismic data, e.g. for interpretation or for event detection

Definitions

  • the present invention relates to the field of reflected wave seismic data processing technology, and in particular to a method and apparatus for inverse time migration imaging of a three-dimensional seismic anisotropic medium. Background technique
  • Seismic anisotropy of the Earth's medium has proven to be ubiquitous, but seismic exploration often considers the Earth's approximation as an isotropic medium. In the past, this approximation simplifies the problems and formulas of seismic processing interpretation, but in the pursuit of fine reservoir exploration today, some seismic media are neglected (such as thin interbedded sandstone reservoir media, layered shale media, carbonates).
  • the anisotropy of cracks in the rock - karst reservoir media and igneous reservoir media developed by the fracture may cause large errors in seismic interpretation, and one of the errors in seismic data processing is partial Dislocation resulting from the displacement of the fault. Therefore, it is quite necessary and urgent to study anisotropic seismic exploration techniques.
  • the main object of the embodiments of the present invention is to provide a three-dimensional seismic anisotropic medium reverse time migration imaging method and device, which can solve the mutation position of the symmetry axis inclination parameter profile in the prior art when performing the shot wave field simulation. There is a problem of computational instability.
  • an embodiment of the present invention provides a three-dimensional seismic anisotropic medium reverse time migration imaging method, including:
  • the wavelet is placed at the corresponding shot position of the gun, and the second-order partial differential equation is used to simulate the shot wave field; the coupled second-order partial differential equation is applied to the corresponding gun data of the gun,
  • the gun performs the wave field simulation of the detection point; the cross-correlation imaging condition is used to image the result of the wave field simulation of the shot point and the result of the wave field simulation of the detection point, and the single shot reverse time migration result of the gun is obtained;
  • the single shot reverse time offset results of all the shots are superimposed to form a reverse time offset imaging profile
  • ⁇ and ⁇ are respectively Thomson anisotropic parameters corresponding to the imaging space;
  • ⁇ and ⁇ are the symmetry axis inclination angle parameters and the symmetry axis azimuth angle parameters corresponding to the imaging space, respectively.
  • the invention also provides a three-dimensional seismic anisotropic medium reverse time migration imaging device, comprising:
  • a gun determination module for determining all guns that require reverse time migration imaging
  • the single shot processing module is used to perform the following processing steps for each shot:
  • the wavelet is placed at the corresponding shot position of the gun, and the coupled second-order partial differential equation is used to simulate the shot wave field; the corresponding gun data is obtained, and the coupled second-order partial differential equation is applied to detect the wave field Simulation; applying the cross-correlation imaging condition to image the result of the shot wave field simulation and the result of the wave field simulation of the detection point, and obtain a single shot reverse time migration result of the shot;
  • a superimposed imaging module configured to perform the above processing steps on all the shots, and stack the single shot reverse time offset results of all the shots to form a reverse time offset imaging profile
  • Hj sin ⁇ cos ⁇ ⁇ - + sin ⁇ sin ⁇ ⁇ - + cos ⁇ - dx dy 2 dz 2 sin 2 ⁇ sin 2 ⁇ h sin 2 ⁇ sin ⁇ h sin 2 cos - dxdy dydz dxdz
  • is the symmetry axis inclination parameter and the symmetry axis azimuth parameter corresponding to the imaging space, respectively.
  • FIG. 1 is a schematic flow chart of a three-dimensional seismic anisotropic medium reverse time migration imaging method provided by the present invention
  • FIG. 2 is a simulated snapshot of a counter-offset shot point wave field in a seismic anisotropic medium region provided by the present invention
  • FIG. 3 is a snapshot of a shot point wave field provided by the present invention
  • Figure 5 is a single shot reverse time shifting result provided by the present invention.
  • Figure 8 is an isotropic reverse time migration imaging result ignoring all anisotropic parameters provided by the present invention.
  • Figure 9 is a partial enlarged view of Figure 6;
  • Figure 10 is a partial enlarged view of Figure 7;
  • Figure 11 is a partial enlarged view of Figure 8.
  • Figure 12 is a result of superimposing the result of the reverse time shift and the velocity model provided by the present invention.
  • FIG. 13 is a schematic structural view of a three-dimensional seismic anisotropic medium reverse time migration imaging apparatus provided by the present invention.
  • FIG. 14 is a schematic flow chart of a three-dimensional seismic anisotropic medium reverse time migration imaging method according to an embodiment of the present invention. detailed description
  • the finite difference migration method based on the full acoustic equation passes in time -
  • the spatial domain directly solves the full acoustic partial differential equation by displaying the high-order finite difference algorithm, and truly simulates the wave propagation phenomenon.
  • the method is completed - 1 3 ⁇ 4 2 full compliance with the wave equation, there is no inclination limit, it can be applied to the sharp change of the velocity field, has obvious advantages in three-dimensional complex structure imaging, and has high imaging precision.
  • the reverse time migration algorithm directly simulates the propagation of seismic waves in the space-time domain, it is easier to apply to the imaging problems in complexly varying vertical transversely isotropic and oblique transverse isotropic isotropic media.
  • the present invention provides a three-dimensional seismic anisotropic medium reverse time migration imaging method, as shown in FIG.
  • the method includes: Step S11, determining all the guns that need to perform reverse time migration imaging;
  • step S12 for each shot, the following processing steps are performed:
  • Step S121 placing a wavelet at a position corresponding to the shot, and applying a second-order partial differential equation to simulate the shot wave field of the shot;
  • Step S122 applying the coupled second-order partial differential equation to the gun data corresponding to the gun, and performing a detection point wave field simulation on the gun;
  • Step S123 applying a cross-correlation imaging condition to image the result of the shot wave field simulation and the result of the wave field simulation of the detection point, and obtain a single shot reverse time migration result of the shot;
  • Step S13 after performing the above processing steps on all the shots, superimposing the single shot reverse time offset results of all the shots to form a reverse time offset imaging profile;
  • Dx dy dz In the equation, p is the coupled wave field, x, y, z are the spatial axis coordinates, which are the time axis coordinates, and ⁇ and s are the Thomson anisotropic parameters corresponding to the imaging space;
  • ⁇ and ⁇ are the symmetry axis inclination angle parameters and the symmetry axis azimuth angle parameters corresponding to the imaging space, respectively.
  • the three-dimensional seismic anisotropic medium reverse time migration imaging method provided by the invention can solve the sudden change of the symmetry axis inclination angle Calculate the problem of instability.
  • 2 is a simulation example of a reverse-phase offset shot point wave field and a symmetry axis tilt angle parameter of a seismic anisotropic medium region obtained by applying the present invention (9 superimposed display results, it can be seen that the symmetry axis tilt angle parameter (profile) There is a mutation on the right side.
  • the equation proposed by the present invention can solve the instability problem.
  • the seismic wave successfully passes the The location of the mutation, there is no computational instability problem.
  • FIG. 3 shows an example of a shot point snapshot of a shot obtained by applying the present invention.
  • FIG. 4 shows an example of a wave point snapshot of a detection point obtained by applying the present invention.
  • Fig. 5 is a view showing an example of a single shot reverse time shift result obtained by applying the present invention.
  • Fig. 6 is a graph showing the results of a reverse time migration imaging profile of a seismic anisotropic medium region obtained by applying the present invention.
  • Figure 7-12 shows the results of reverse time migration imaging in an anisotropic medium.
  • Figure 7 shows the inverse time migration result of ignoring the anisotropic dip parameter
  • Figure 8 shows the isotropic reverse time migration result of ignoring all anisotropic parameters.
  • the invention adopts a stable coupled second-order partial differential equation to realize the differential solution of the wave equation, can solve the computational instability problem caused by the sudden change of the symmetry axis of the medium, and finally solves the three-dimensional complex structure imaging problem with sharply changing speed.
  • the method of the present invention has the advantages of high computational efficiency, good imaging effect, and easy implementation, and is suitable for the development of reverse time offset commercial software and industrial production.
  • the present invention provides a three-dimensional seismic anisotropic medium reverse time migration imaging apparatus. As shown in FIG. 13, the apparatus includes:
  • the single shot processing module 1402 is configured to perform the following processing steps for each shot:
  • the wavelet is placed at the corresponding shot position of the gun, and the coupled second-order partial differential equation is used to simulate the shot wave field; the corresponding gun data is obtained, and the coupled second-order partial differential equation is applied to detect the wave field Simulation; applying the cross-correlation imaging condition to image the result of the shot wave field simulation and the result of the wave field simulation of the detection point, and obtain a single shot reverse time migration result of the shot;
  • the superimposed imaging module 1403 is configured to perform the foregoing processing steps on all the guns, and superimpose the results of the single shot reverse time offset of all the guns to form a reverse time migration imaging profile;
  • the coupled second-order partial differential equation is:
  • Hj sin ⁇ cos ⁇ ⁇ - + sin ⁇ sin ⁇ ⁇ - + cos ⁇ - dx dy dz sin 2 ⁇ sin 2 ⁇ h sin 2 ⁇ sin ⁇ h sin ⁇ sin ⁇ - dxdy dydz dxdz
  • ⁇ and ⁇ are the symmetry axis inclination angle parameters and the symmetry axis azimuth angle parameters corresponding to the imaging space, respectively.
  • the embodiment provides a specific embodiment of applying the inverse time migration imaging method of the three-dimensional seismic anisotropic medium of the present invention to the commercialization software. As shown in FIG. 14, the method specifically includes the following steps:
  • Step A storing all the gun data locally, and the depth domain velocity field, the Thomson anisotropy parameter, the symmetry axis inclination parameter, and the symmetry axis azimuth parameter corresponding to the imaging space;
  • Step A2 determining a current gun to be processed from the task list, reading the gun data corresponding to the gun, and the depth field velocity field, the Thomson anisotropy parameter, the symmetry axis inclination parameter, and the symmetry axis azimuth parameter corresponding to the imaging space, And perform the following processing for the gun:
  • Step A21 placing a wavelet at a corresponding shot position of the gun, and applying a second-order partial differential equation to perform a shot wave field simulation (using the equation to make the calculation stable when the tilt of the symmetry axis is abrupt), the obtained shot point wave Field simulation results are stored locally;
  • Step A22 applying a second-order partial differential equation to the corresponding gun data of the gun, realizing the wave field simulation of the detection point, and storing the obtained detection result of the detection wave field locally;
  • Step A23 applying the cross-correlation imaging condition to image the simulation result of the shot wave field obtained in step A21 and the simulation result of the detection point wave obtained in step A22, and obtaining the single-shot reverse time migration result of the shot, and storing the result in the local;
  • Step A3 determining whether there are any unprocessed cannons in the task list, and if so, looping through step A2 (including steps A21 to A23); otherwise, executing step A4;
  • step A4 the single-shot reverse time offset results of all the guns are superimposed to form a reverse-time migration imaging profile, and the result is output.
  • step A23 when step A21 is performed, according to the set time interval The simulation results of the shot wave field are compressed step by step, and then the compression results corresponding to the respective time intervals are stored locally. Then, when step A23 is executed, the compression package of the simulation result of the shot wave field can be decompressed by the thread synchronization. Then, the cross-correlation imaging conditions are applied to image the simulated wave field simulation results and the detection point wave field simulation results. Due to the use of step-by-step compression and split-thread synchronous decompression, the speed of single-shot processing is improved, and the processing efficiency of the whole process is improved.
  • the three-dimensional TTI seismic anisotropic medium reverse time migration imaging method and apparatus provided by the embodiments of the present invention have the following beneficial effects:
  • the stable coupled second-order partial differential equation is used to realize the differential solution of the wave equation, which can solve the computational instability caused by the sudden tilt angle variation of the TTI medium, and finally solve the three-dimensional complex structure imaging problem with sharply changing speed;

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Abstract

A three-dimensional seismic anisotropic medium reverse time migration imaging method and device, used in the technical field of reflected wave seismic data processing, the method comprising: determining all shots requiring reverse time migration imaging (S11); performing the following steps for each shot (S12): placing a sub-wave at a shot point position corresponding to the shot, and conducting shot point wave field simulation on the shot by using a coupling second-order partial differential equation (S121); conducting wave detection point wave field simulation on the shot by applying the coupling second-order partial differential equation to shot data corresponding to the shot (S122); and imaging the result of the shot point wave field simulation and the result of the wave detection point wave field simulation by using a mutual correlation imaging condition so as to obtain a single-shot reverse time migration result of the shot (S123); after performing the above steps on all shots, superimposing the single-shot reverse time migration results of all the shots to form a reverse time migration imaging profile (S13). The present invention employs a stable coupling second-order partial differential equation to realize differential solving of a wave equation, thus solving the problem of inconsistent calculation caused by the change of the symmetrical axis inclination angle of a TTI medium, and finally solving the problem of rapid changes in the imaging of a three-dimensional complex structure.

Description

一种三维地震各向异性介质逆时偏移成像方法及装置  Three-dimensional seismic anisotropic medium reverse time migration imaging method and device
技术领域 Technical field
本发明涉及反射波地震数据处理技术领域, 具体地, 涉及一种三维地震各向异性介质逆 时偏移成像方法及装置。 背景技术  The present invention relates to the field of reflected wave seismic data processing technology, and in particular to a method and apparatus for inverse time migration imaging of a three-dimensional seismic anisotropic medium. Background technique
地球介质的地震各向异性被证实是普遍存在的, 但地震勘探常常把地球近似看作是各向 同性介质。 在过去, 这种近似能够简化地震处理解释的问题和公式, 但是在追求精细油藏探 测的今天, 忽略某些地震介质 (如薄互层砂岩储层介质、 层状页岩介质、 碳酸盐岩中的裂缝- 溶洞型储层介质以及裂隙发育的火成岩储层介质) 存在的各向异性可能会使地震处理解释产 生较大的误差, 在地震资料处理中这种误差的其中一个表现为偏移后断层产生的错位。 因此 研究各向异性地震勘探技术相当必要而且紧迫。  Seismic anisotropy of the Earth's medium has proven to be ubiquitous, but seismic exploration often considers the Earth's approximation as an isotropic medium. In the past, this approximation simplifies the problems and formulas of seismic processing interpretation, but in the pursuit of fine reservoir exploration today, some seismic media are neglected (such as thin interbedded sandstone reservoir media, layered shale media, carbonates). The anisotropy of cracks in the rock - karst reservoir media and igneous reservoir media developed by the fracture may cause large errors in seismic interpretation, and one of the errors in seismic data processing is partial Dislocation resulting from the displacement of the fault. Therefore, it is quite necessary and urgent to study anisotropic seismic exploration techniques.
此外, 现有技术在对称轴倾角参数剖面的突变位置存在计算不稳定问题, 导致计算出现 异常值, 使得计算报错退出。 发明内容  In addition, the prior art has a problem of computational instability at the abrupt position of the symmetry axis inclination parameter profile, resulting in an abnormal value in the calculation, so that the calculation error exits. Summary of the invention
本发明实施例的主要目的在于提供一种三维地震各向异性介质逆时偏移成像方法及装 置, 以解决现有技术中在进行炮点波场模拟时, 在对称轴倾角参数剖面的突变位置存在计算 不稳定的问题。  The main object of the embodiments of the present invention is to provide a three-dimensional seismic anisotropic medium reverse time migration imaging method and device, which can solve the mutation position of the symmetry axis inclination parameter profile in the prior art when performing the shot wave field simulation. There is a problem of computational instability.
为了实现上述目的, 本发明实施例提供一种三维地震各向异性介质逆时偏移成像方法, 包括:  In order to achieve the above object, an embodiment of the present invention provides a three-dimensional seismic anisotropic medium reverse time migration imaging method, including:
确定需要进行逆时偏移成像的所有炮;  Identify all guns that require reverse time migration imaging;
针对每一炮, 执行如下处理步骤:  For each shot, perform the following processing steps:
在该炮对应的炮点位置放置子波,并应用耦合二阶偏微分方程对该炮进行炮点波场模拟; 通过对该炮对应的炮数据应用所述耦合二阶偏微分方程, 对该炮进行检波点波场模拟; 应用互相关成像条件对所述炮点波场模拟的结果及所述检波点波场模拟的结果进行成 像, 得到该炮的单炮逆时偏移结果;  The wavelet is placed at the corresponding shot position of the gun, and the second-order partial differential equation is used to simulate the shot wave field; the coupled second-order partial differential equation is applied to the corresponding gun data of the gun, The gun performs the wave field simulation of the detection point; the cross-correlation imaging condition is used to image the result of the wave field simulation of the shot point and the result of the wave field simulation of the detection point, and the single shot reverse time migration result of the gun is obtained;
对所有炮都执行上述处理步骤后, 将所有炮的单炮逆时偏移结果叠加起来形成逆时偏移 成像剖面;  After performing the above processing steps for all the shots, the single shot reverse time offset results of all the shots are superimposed to form a reverse time offset imaging profile;
其中, 所述耦合二阶偏微分方程为:
Figure imgf000004_0001
Wherein the coupled second-order partial differential equation is:
Figure imgf000004_0001
O 1 -(l + 2S)H2p + Hiq-— H2(p-q) O 1 -(l + 2S)H 2 p + H iq -— H 2 (pq)
、 ' - - a  , ' - - a
ΗΛ - sin2 ^cos2 φ ~ - + sin2 ^sin2 φ ~ - + cos2 Θ Η Λ - sin 2 ^cos 2 φ ~ - + sin 2 ^sin 2 φ ~ - + cos 2 Θ
1 dx2 dy2 sin2 Θ sin 2φ h sin 2Θ sin φ h sin 2Θ cos φ 1 dx 2 dy 2 sin 2 Θ sin 2φ h sin 2Θ sin φ h sin 2Θ cos φ
dxdy dydz dxdz  Dxdy dydz dxdz
ΗΊ =—― H ― H — H、 Η Ί =—― H ― H — H,
2 dx1 dy1 dz1 所述方程中, δ、 ε分别为成像空间对应的 Thomson各向异性参数; 2 dx 1 dy 1 dz 1 In the equation, δ and ε are respectively Thomson anisotropic parameters corresponding to the imaging space;
θ、 φ分别为成像空间对应的对称轴倾角参数和对称轴方位角参数。  θ and φ are the symmetry axis inclination angle parameters and the symmetry axis azimuth angle parameters corresponding to the imaging space, respectively.
本发明还提供一种三维地震各向异性介质逆时偏移成像装置, 包括:  The invention also provides a three-dimensional seismic anisotropic medium reverse time migration imaging device, comprising:
炮确定模块, 用于确定需要进行逆时偏移成像的所有炮;  a gun determination module for determining all guns that require reverse time migration imaging;
单炮处理模块, 用于针对每一炮, 执行如下处理步骤:  The single shot processing module is used to perform the following processing steps for each shot:
在该炮对应的炮点位置放置子波, 并应用耦合二阶偏微分方程进行炮点波场模拟; 获取该炮对应的炮数据, 并应用所述耦合二阶偏微分方程进行检波点波场模拟; 应用互相关成像条件对所述炮点波场模拟的结果及所述检波点波场模拟的结果进行成 像, 得到该炮的单炮逆时偏移结果;  The wavelet is placed at the corresponding shot position of the gun, and the coupled second-order partial differential equation is used to simulate the shot wave field; the corresponding gun data is obtained, and the coupled second-order partial differential equation is applied to detect the wave field Simulation; applying the cross-correlation imaging condition to image the result of the shot wave field simulation and the result of the wave field simulation of the detection point, and obtain a single shot reverse time migration result of the shot;
叠加成像模块, 用于对所有炮都执行上述处理步骤后, 将所有炮的单炮逆时偏移结果叠 加起来形成逆时偏移成像剖面;  a superimposed imaging module, configured to perform the above processing steps on all the shots, and stack the single shot reverse time offset results of all the shots to form a reverse time offset imaging profile;
其中, 所述耦合二阶偏微分方程为:  Wherein the coupled second-order partial differential equation is:
1 -(l + 2s)H2p + Hlq + ^-Hl(p-q) 1 -(l + 2s)H 2 p + H l q + ^-H l (pq)
、 ' - - a
Figure imgf000004_0002
, ' - - a
Figure imgf000004_0002
2 2 d2 2 2 d2 2 d2 2 2 d 2 2 2 d 2 2 d 2
Hj = sin ^cos φ ~ - + sin ^sin φ ~ - + cos Θ- dx dy2 dz2 sin2 Θ sin 2φ h sin 2Θ sin φ h sin 2 cos - dxdy dydz dxdz Hj = sin ^cos φ ~ - + sin ^sin φ ~ - + cos Θ- dx dy 2 dz 2 sin 2 Θ sin 2φ h sin 2Θ sin φ h sin 2 cos - dxdy dydz dxdz
H7 =—― Η ― Η ―― Ηλ H 7 =—― ― ― Η —— Η λ
ox oy dz 所述方程中, S、 s分别为成像空间对应的 Thomson各向异性参数;  Ox oy dz In the equation, S and s are the Thomson anisotropic parameters corresponding to the imaging space;
θ、 分别为成像空间对应的对称轴倾角参数和对称轴方位角参数。 借助于上述技术方案, 本发明采用了稳定的耦合二阶偏微分方程实现波动方程的差分求 解, 能够解决介质对称轴倾角突变引起的计算不稳定问题, 并最终解决速度急剧变化的三维 复杂构造成像问题。本发明所述的方法具有计算效率高、成像效果好、 以及易于实现的优点, 适合于逆时偏移商业化软件的开发以及工业化生产的需要。 附图说明 θ is the symmetry axis inclination parameter and the symmetry axis azimuth parameter corresponding to the imaging space, respectively. By means of the above technical solution, the invention adopts a stable coupled second-order partial differential equation to realize the differential solution of the wave equation, can solve the computational instability problem caused by the sudden change of the inclination axis of the medium symmetry, and finally solves the three-dimensional complex structure imaging with rapid change of speed. problem. The method of the invention has the advantages of high computational efficiency, good imaging effect, and easy realization, and is suitable for the development of reverse-time offset commercial software and industrial production. DRAWINGS
为了更清楚地说明本发明实施例或现有技术中的技术方案, 下面将对实施例描述中所需 要使用的附图作简单地介绍, 显而易见地, 下面描述中的附图仅仅是本发明的一些实施例, 对于本领域普通技术人员来讲, 在不付出创造性劳动性的前提下, 还可以根据这些附图获得 其他的附图。  In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments will be briefly described below. It is obvious that the drawings in the following description are only the present invention. For some embodiments, other drawings may be obtained from those skilled in the art without any inventive labor.
图 1是本发明提供的三维地震各向异性介质逆时偏移成像方法流程示意图;  1 is a schematic flow chart of a three-dimensional seismic anisotropic medium reverse time migration imaging method provided by the present invention;
图 2是本发明提供的某地震各向异性介质地区的逆时偏移炮点波场模拟快照; 图 3是本发明提供的炮点波场快照;  2 is a simulated snapshot of a counter-offset shot point wave field in a seismic anisotropic medium region provided by the present invention; FIG. 3 is a snapshot of a shot point wave field provided by the present invention;
图 4是本发明提供的检波点波场快照;  4 is a snapshot of a wave point of a detection point provided by the present invention;
图 5是本发明提供的单炮逆时偏移结果;  Figure 5 is a single shot reverse time shifting result provided by the present invention;
图 6是本发明提供的某地震各向异性介质地区的逆时偏移成像结果;  6 is a reverse time migration imaging result of a seismic anisotropic medium region provided by the present invention;
图 7是本发明提供的忽略各向异性倾角参数的逆时偏移成像结果;  7 is a reverse time migration imaging result of the negligible anisotropy tilt angle parameter provided by the present invention;
图 8是本发明提供的忽略所有各向异性参数的各向同性逆时偏移成像结果;  Figure 8 is an isotropic reverse time migration imaging result ignoring all anisotropic parameters provided by the present invention;
图 9是图 6的局部放大图;  Figure 9 is a partial enlarged view of Figure 6;
图 10是图 7的局部放大图;  Figure 10 is a partial enlarged view of Figure 7;
图 11是图 8的局部放大图;  Figure 11 is a partial enlarged view of Figure 8;
图 12是本发明提供的将逆时偏移的结果与速度模型叠合显示的结果;  Figure 12 is a result of superimposing the result of the reverse time shift and the velocity model provided by the present invention;
图 13是本发明提供的三维地震各向异性介质逆时偏移成像装置结构示意图;  13 is a schematic structural view of a three-dimensional seismic anisotropic medium reverse time migration imaging apparatus provided by the present invention;
图 14是本发明实施例提供的三维地震各向异性介质逆时偏移成像方法流程示意图。 具体实施方式  FIG. 14 is a schematic flow chart of a three-dimensional seismic anisotropic medium reverse time migration imaging method according to an embodiment of the present invention. detailed description
下面将结合本发明实施例中的附图, 对本发明实施例中的技术方案进行清楚、 完整地描 述, 显然, 所描述的实施例仅仅是本发明一部分实施例, 而不是全部的实施例。 基于本发明 中的实施例, 本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例, 都属于本发明保护的范围。  The technical solutions in the embodiments of the present invention are clearly and completely described in the following with reference to the accompanying drawings in the embodiments of the present invention. It is obvious that the described embodiments are only a part of the embodiments of the present invention, but not all of the embodiments. All other embodiments obtained by those skilled in the art based on the embodiments of the present invention without creative efforts are within the scope of the present invention.
在实现本发明的过程中, 发明人发现:  In the process of implementing the present invention, the inventors discovered that:
基于全声波方程的有限差分偏移方法 (也叫逆时偏移方法, 或 RTM方法) 通过在时间- 空间域用显示高阶有限差分算法直接求解全声波偏微分方程, 真实地模拟了波的传播现象。 该方法完- 1 ¾ 2全遵守波动方程, 不存在倾角限制, 可适用于速度场的急剧变化, 在三维复杂构造 成像方面具备明显优势, 成像精度高。 由于逆时偏移算法是在时空域中直接模拟地震波的传 播, 使它更加易于应用于复杂变化的垂直横向各向同性和倾斜横向各向同性等各向异性介质 中的成像问题。 The finite difference migration method based on the full acoustic equation (also called the reverse time migration method, or the RTM method) passes in time - The spatial domain directly solves the full acoustic partial differential equation by displaying the high-order finite difference algorithm, and truly simulates the wave propagation phenomenon. The method is completed - 1 3⁄4 2 full compliance with the wave equation, there is no inclination limit, it can be applied to the sharp change of the velocity field, has obvious advantages in three-dimensional complex structure imaging, and has high imaging precision. Since the reverse time migration algorithm directly simulates the propagation of seismic waves in the space-time domain, it is easier to apply to the imaging problems in complexly varying vertical transversely isotropic and oblique transverse isotropic isotropic media.
在地下介质存在各向异性特征时, 地震波在地下介质中的传播方式是不一样的, 基于上 述发现, 本发明提供了一种三维地震各向异性介质逆时偏移成像方法, 如图 1所示, 包括: 步骤 Sll, 确定需要进行逆时偏移成像的所有炮;  When there is an anisotropic feature in the subsurface medium, the propagation mode of the seismic wave in the subsurface medium is different. Based on the above findings, the present invention provides a three-dimensional seismic anisotropic medium reverse time migration imaging method, as shown in FIG. The method includes: Step S11, determining all the guns that need to perform reverse time migration imaging;
步骤 S12, 针对每一炮, 执行如下处理步骤:  In step S12, for each shot, the following processing steps are performed:
步骤 S121, 在该炮对应的炮点位置放置子波, 并应用耦合二阶偏微分方程对该炮进行炮 点波场模拟;  Step S121, placing a wavelet at a position corresponding to the shot, and applying a second-order partial differential equation to simulate the shot wave field of the shot;
步骤 S122, 通过对该炮对应的炮数据应用所述耦合二阶偏微分方程, 对该炮进行检波点 波场模拟;  Step S122, applying the coupled second-order partial differential equation to the gun data corresponding to the gun, and performing a detection point wave field simulation on the gun;
步骤 S123, 应用互相关成像条件对所述炮点波场模拟的结果及所述检波点波场模拟的结 果进行成像, 得到该炮的单炮逆时偏移结果;  Step S123, applying a cross-correlation imaging condition to image the result of the shot wave field simulation and the result of the wave field simulation of the detection point, and obtain a single shot reverse time migration result of the shot;
步骤 S13, 对所有炮都执行上述处理步骤后, 将所有炮的单炮逆时偏移结果叠加起来形 成逆时偏移成像剖面;  Step S13, after performing the above processing steps on all the shots, superimposing the single shot reverse time offset results of all the shots to form a reverse time offset imaging profile;
其中, 所述耦合二阶偏微分方程为:  Wherein the coupled second-order partial differential equation is:
F— 3 F — 3
-(l + 2s)H2p + Hlq + ^—Hl(p-q) -(l + 2s)H 2 p + H l q + ^—H l (pq)
σ  σ
O {、\ + 25)H2p + Hiq -"—H2(p-q)O {, \ + 25)H 2 p + H i , q -"-H 2 (pq)
1 σ  1 σ
2 2 d2 2 2 d2 2 d2 , 2 2 d 2 2 2 d 2 2 d 2
H = sin ^cos φ ~ - + sin ^sin φ ~ - + cos Θ ~ - +  H = sin ^cos φ ~ - + sin ^sin φ ~ - + cos Θ ~ - +
1 dx2 dy2 dz2 1 dx 2 dy 2 dz 2
Q2 Q2 Q2 Q 2 Q 2 Q 2
sin2 Θ sin 2φ h sin 2Θ sin φ h sin Ιθοο^ - dxdy dydz dxdz Sin 2 Θ sin 2φ h sin 2Θ sin φ h sin Ιθοο^ - dxdy dydz dxdz
H2 = Η Η ― H! H 2 = Η Η ― H!
dx dy dz 所述方程中, p、 为耦合波场, x、 y , z为空间轴坐标, 为时间轴坐标, δ、 s分 别为成像空间对应的 Thomson各向异性参数;  Dx dy dz In the equation, p is the coupled wave field, x, y, z are the spatial axis coordinates, which are the time axis coordinates, and δ and s are the Thomson anisotropic parameters corresponding to the imaging space;
θ、 φ分别为成像空间对应的对称轴倾角参数和对称轴方位角参数。  θ and φ are the symmetry axis inclination angle parameters and the symmetry axis azimuth angle parameters corresponding to the imaging space, respectively.
应用本发明提供的三维地震各向异性介质逆时偏移成像方法能够解决对称轴倾角突变时 计算不稳定的问题。 图 2是应用本发明得到的某地震各向异性介质地区的逆时偏移炮点波场 模拟快照与对称轴倾角参数 (9叠合显示的结果, 可以看到, 在对称轴倾角参数 ( 剖面右边存 在突变, 传统的方程在进行模拟的时候, 在该突变位置存在计算不稳定的问题。 而本发明提 出的方程能够解决该不稳定问题, 从图 2中可以看出, 地震波顺利通过了该突变位置, 不存 在计算不稳定问题。 The three-dimensional seismic anisotropic medium reverse time migration imaging method provided by the invention can solve the sudden change of the symmetry axis inclination angle Calculate the problem of instability. 2 is a simulation example of a reverse-phase offset shot point wave field and a symmetry axis tilt angle parameter of a seismic anisotropic medium region obtained by applying the present invention (9 superimposed display results, it can be seen that the symmetry axis tilt angle parameter (profile) There is a mutation on the right side. When the traditional equation is simulated, there is a problem of computational instability at the mutation position. However, the equation proposed by the present invention can solve the instability problem. As can be seen from Fig. 2, the seismic wave successfully passes the The location of the mutation, there is no computational instability problem.
图 3所示为应用本发明得到的炮点波场快照实例。  FIG. 3 shows an example of a shot point snapshot of a shot obtained by applying the present invention.
图 4所示为应用本发明得到的检波点波场快照实例。  FIG. 4 shows an example of a wave point snapshot of a detection point obtained by applying the present invention.
图 5所示为应用本发明得到的单炮逆时偏移结果实例。  Fig. 5 is a view showing an example of a single shot reverse time shift result obtained by applying the present invention.
图 6所示为应用本发明得到的某地震各向异性介质地区的逆时偏移成像剖面结果。 图 7-12所示为某地震各向异性介质地区的逆时偏移成像结果。其中图 7为忽略各向异性 倾角参数的逆时偏移结果, 图 8为忽略所有各向异性参数的各向同性逆时偏移结果。 通过对 比图 6-8可知, 逆时偏移成像结果明显优于后两个结果, 特别是高速体的边界成像正确, 而 后两个结果在高速体边界的成像方面存在误差, 可见逆时偏移对于复杂构造成像的重要性。 将上述三个结果进行放大, 得到图 9-11的结果, 可以看到在高速体边界的成像上, 逆时偏移 是最清晰的, 特别是倾角较大的边界, 与各向同性逆时偏移的结果都存在较大误差。 图 12将 逆时偏移的结果与速度模型叠合显示, 可以看到该结果能够反映真实地下构造。  Fig. 6 is a graph showing the results of a reverse time migration imaging profile of a seismic anisotropic medium region obtained by applying the present invention. Figure 7-12 shows the results of reverse time migration imaging in an anisotropic medium. Figure 7 shows the inverse time migration result of ignoring the anisotropic dip parameter, and Figure 8 shows the isotropic reverse time migration result of ignoring all anisotropic parameters. By comparing Figure 6-8, the reverse-time migration imaging results are significantly better than the latter two results, especially the high-speed body boundary imaging is correct, while the latter two results have errors in the imaging of high-speed body boundaries, showing reverse time migration. The importance of imaging for complex structures. The above three results are magnified to obtain the results of Fig. 9-11. It can be seen that in the imaging of the high-speed body boundary, the reverse time migration is the clearest, especially the boundary with a large dip angle, and the isotropic reverse time. The result of the offset has a large error. Figure 12 shows the result of the reverse time migration and the velocity model. It can be seen that the result can reflect the true underground structure.
本发明采用了稳定的耦合二阶偏微分方程实现波动方程的差分求解, 能够解决介质对称 轴倾角突变引起的计算不稳定问题, 并最终解决速度急剧变化的三维复杂构造成像问题。 本 发明所述的方法具有计算效率高、 成像效果好、 以及易于实现的优点, 适合于逆时偏移商业 化软件的开发以及工业化生产的需要。 相应的, 本发明提供一种三维地震各向异性介质逆时偏移成像装置, 如图 13所示, 该装 置包括:  The invention adopts a stable coupled second-order partial differential equation to realize the differential solution of the wave equation, can solve the computational instability problem caused by the sudden change of the symmetry axis of the medium, and finally solves the three-dimensional complex structure imaging problem with sharply changing speed. The method of the present invention has the advantages of high computational efficiency, good imaging effect, and easy implementation, and is suitable for the development of reverse time offset commercial software and industrial production. Correspondingly, the present invention provides a three-dimensional seismic anisotropic medium reverse time migration imaging apparatus. As shown in FIG. 13, the apparatus includes:
炮确定模块 1401, 用于确定需要进行逆时偏移成像的所有炮;  A gun determination module 1401, configured to determine all guns that require reverse time migration imaging;
单炮处理模块 1402, 用于针对每一炮, 执行如下处理步骤:  The single shot processing module 1402 is configured to perform the following processing steps for each shot:
在该炮对应的炮点位置放置子波, 并应用耦合二阶偏微分方程进行炮点波场模拟; 获取该炮对应的炮数据, 并应用所述耦合二阶偏微分方程进行检波点波场模拟; 应用互相关成像条件对所述炮点波场模拟的结果及所述检波点波场模拟的结果进行成 像, 得到该炮的单炮逆时偏移结果;  The wavelet is placed at the corresponding shot position of the gun, and the coupled second-order partial differential equation is used to simulate the shot wave field; the corresponding gun data is obtained, and the coupled second-order partial differential equation is applied to detect the wave field Simulation; applying the cross-correlation imaging condition to image the result of the shot wave field simulation and the result of the wave field simulation of the detection point, and obtain a single shot reverse time migration result of the shot;
叠加成像模块 1403, 用于对所有炮都执行上述处理步骤后, 将所有炮的单炮逆时偏移结 果叠加起来形成逆时偏移成像剖面; 其中, 所述耦合二阶偏微分方程为: The superimposed imaging module 1403 is configured to perform the foregoing processing steps on all the guns, and superimpose the results of the single shot reverse time offset of all the guns to form a reverse time migration imaging profile; Wherein the coupled second-order partial differential equation is:
1 d2p ε - δ 1 d 2 p ε - δ
(1 + 2ε) Η2ρ + Hxq + Hx {p - q (1 + 2ε) Η 2 ρ + H x q + H x {p - q
σ  σ
2 2 d2 2 2 d2 J d 2 2 d 2 2 2 d 2 J d
Hj = sin ^ cos φ ~ - + sin ^ sin φ ~ - + cos Θ- dx dy dz sin2 Θ sin 2φ h sin 2Θ sin φ h sin Ιθοο^ - dxdy dydz dxdz Hj = sin ^ cos φ ~ - + sin ^ sin φ ~ - + cos Θ- dx dy dz sin 2 Θ sin 2φ h sin 2Θ sin φ h sin Ιθοο^ - dxdy dydz dxdz
H9 Η ― Η ―― H H 9 Η ― Η —— H
ox oy oz 所述方程中, δ、 ε分别为成像空间对应的 Thomson各向异性参数;  In the equation of ox oy oz, δ and ε are respectively Thomson anisotropic parameters corresponding to the imaging space;
θ、 φ分别为成像空间对应的对称轴倾角参数和对称轴方位角参数。 实施例  θ and φ are the symmetry axis inclination angle parameters and the symmetry axis azimuth angle parameters corresponding to the imaging space, respectively. Example
本实施例提供一种将本发明的三维地震各向异性介质逆时偏移成像方法应用于商业化软 件的具体实施例, 如图 14所示, 具体包括如下步骤:  The embodiment provides a specific embodiment of applying the inverse time migration imaging method of the three-dimensional seismic anisotropic medium of the present invention to the commercialization software. As shown in FIG. 14, the method specifically includes the following steps:
步骤 Al, 在本地存储所有炮数据, 以及成像空间对应的深度域速度场、 Thomson各向异 性参数、 对称轴倾角参数和对称轴方位角参数;  Step A, storing all the gun data locally, and the depth domain velocity field, the Thomson anisotropy parameter, the symmetry axis inclination parameter, and the symmetry axis azimuth parameter corresponding to the imaging space;
步骤 A2, 从任务列表中确定当前要处理的炮, 读取该炮对应的炮数据, 以及成像空间对 应的深度域速度场、 Thomson各向异性参数、 对称轴倾角参数和对称轴方位角参数, 并且针 对该炮执行如下处理:  Step A2: determining a current gun to be processed from the task list, reading the gun data corresponding to the gun, and the depth field velocity field, the Thomson anisotropy parameter, the symmetry axis inclination parameter, and the symmetry axis azimuth parameter corresponding to the imaging space, And perform the following processing for the gun:
步骤 A21, 在该炮对应的炮点位置放置子波, 应用耦合二阶偏微分方程进行炮点波场模 拟(应用该方程可使得在对称轴倾角突变时计算稳定), 将得到的炮点波场模拟结果存储于本 地;  Step A21, placing a wavelet at a corresponding shot position of the gun, and applying a second-order partial differential equation to perform a shot wave field simulation (using the equation to make the calculation stable when the tilt of the symmetry axis is abrupt), the obtained shot point wave Field simulation results are stored locally;
步骤 A22, 对该炮对应的炮数据应用耦合二阶偏微分方程, 实现检波点波场模拟, 将得 到的检波波场模拟结果存储于本地;  Step A22, applying a second-order partial differential equation to the corresponding gun data of the gun, realizing the wave field simulation of the detection point, and storing the obtained detection result of the detection wave field locally;
步骤 A23,应用互相关成像条件对步骤 A21得到的炮点波场模拟结果及步骤 A22得到的 检波点波场模拟结果进行成像, 得到该炮的单炮逆时偏移结果, 并存储于本地;  Step A23, applying the cross-correlation imaging condition to image the simulation result of the shot wave field obtained in step A21 and the simulation result of the detection point wave obtained in step A22, and obtaining the single-shot reverse time migration result of the shot, and storing the result in the local;
步骤 A3, 判断任务列表中的是否还有未进行处理的炮, 若是, 则循环执行步骤 A2 (包 括步骤 A21〜步骤 A23 ) ; 否则, 执行步骤 A4;  Step A3, determining whether there are any unprocessed cannons in the task list, and if so, looping through step A2 (including steps A21 to A23); otherwise, executing step A4;
步骤 A4, 将所有炮的单炮逆时偏移结果叠加起来形成逆时偏移成像剖面, 输出结果。 为了提高本实施例中步骤 A23的处理速度, 可在执行步骤 A21时, 根据设定的时间间隔 对炮点波场模拟结果分步进行压缩, 然后将各个时间间隔对应的压缩结果存储于本地, 之后 在执行步骤 A23时, 可分线程同步对炮点波场模拟结果的压缩包进行解压缩, 然后再应用互 相关成像条件对炮点波场模拟结果和检波点波场模拟结果进行成像。 由于采用了分步压缩和 分线程同步解压缩, 提高了单炮处理的速度, 进而提高了整个过程的处理效率。 In step A4, the single-shot reverse time offset results of all the guns are superimposed to form a reverse-time migration imaging profile, and the result is output. In order to improve the processing speed of step A23 in this embodiment, when step A21 is performed, according to the set time interval The simulation results of the shot wave field are compressed step by step, and then the compression results corresponding to the respective time intervals are stored locally. Then, when step A23 is executed, the compression package of the simulation result of the shot wave field can be decompressed by the thread synchronization. Then, the cross-correlation imaging conditions are applied to image the simulated wave field simulation results and the detection point wave field simulation results. Due to the use of step-by-step compression and split-thread synchronous decompression, the speed of single-shot processing is improved, and the processing efficiency of the whole process is improved.
综上所述, 本发明实施例提供的三维 TTI地震各向异性介质逆时偏移成像方法及装置具 有以下有益效果:  In summary, the three-dimensional TTI seismic anisotropic medium reverse time migration imaging method and apparatus provided by the embodiments of the present invention have the following beneficial effects:
( 1 )采用了稳定的耦合二阶偏微分方程实现波动方程的差分求解, 能够解决 TTI介质对 称轴倾角突变引起的计算不稳定问题, 并最终解决速度急剧变化的三维复杂构造成像问题; (1) The stable coupled second-order partial differential equation is used to realize the differential solution of the wave equation, which can solve the computational instability caused by the sudden tilt angle variation of the TTI medium, and finally solve the three-dimensional complex structure imaging problem with sharply changing speed;
(2) 具有计算效率高、 成像效果好、 以及易于实现的优点, 适合于逆时偏移 (RTM)商业 化软件的开发以及工业化生产的需要。 (2) It has the advantages of high computational efficiency, good imaging effect, and easy implementation, and is suitable for the development of reverse time migration (RTM) commercial software and the needs of industrial production.
以上所述的具体实施例, 对本发明的目的、技术方案和有益效果进行了进一步详细说明, 所应理解的是, 以上所述仅为本发明的具体实施例而已, 并不用于限定本发明的保护范围, 凡在本发明的精神和原则之内, 所做的任何修改、 等同替换、 改进等, 均应包含在本发明的 保护范围之内。  The above described specific embodiments of the present invention are further described in detail, and are intended to be illustrative of the embodiments of the present invention. The scope of the protection, any modifications, equivalents, improvements, etc., made within the spirit and scope of the invention are intended to be included within the scope of the invention.

Claims

WO 2016/008100 +T7 c,i _μ- +, > PCT/CN2014/082257 要 求 书 WO 2016/008100 +T7 c,i _μ- +, > PCT/CN2014/082257 Request
1、 一种三维地震各向异性介质逆时偏移成像方法, 其特征在于, 包括:  A method for inverse time migration imaging of a three-dimensional seismic anisotropic medium, comprising:
确定需要进行逆时偏移成像的所有炮;  Identify all guns that require reverse time migration imaging;
针对每一炮, 执行如下处理步骤:  For each shot, perform the following processing steps:
在该炮对应的炮点位置放置子波,并应用耦合二阶偏微分方程对该炮进行炮点波场模拟; 通过对该炮对应的炮数据应用所述耦合二阶偏微分方程, 对该炮进行检波点波场模拟; 应用互相关成像条件对所述炮点波场模拟的结果及所述检波点波场模拟的结果进行成 像, 得到该炮的单炮逆时偏移结果;  The wavelet is placed at the corresponding shot position of the gun, and the second-order partial differential equation is used to simulate the shot wave field; the coupled second-order partial differential equation is applied to the corresponding gun data of the gun, The gun performs the wave field simulation of the detection point; the cross-correlation imaging condition is used to image the result of the wave field simulation of the shot point and the result of the wave field simulation of the detection point, and the single shot reverse time migration result of the gun is obtained;
对所有炮都执行上述处理步骤后, 将所有炮的单炮逆时偏移结果叠加起来形成逆时偏移 成像剖面;  After performing the above processing steps for all the shots, the single shot reverse time offset results of all the shots are superimposed to form a reverse time offset imaging profile;
其中, 所述耦合二阶偏微分方程为: Hi (p - q)Wherein the coupled second-order partial differential equation is: H i (p - q )
Figure imgf000010_0001
Figure imgf000010_0001
O 1 - (l + 2S) H2p + Hi q -— H2 (p - q) O 1 - (l + 2S) H 2 p + H iq - H 2 (p - q)
、 ' - - a  , ' - - a
H、 = sin2 O cos,1 φ ~ - + sin2 ^ sin2 φ ~ - + cos2 Θ H, = sin 2 O cos, 1 φ ~ - + sin 2 ^ sin 2 φ ~ - + cos 2 Θ
1 dx2 dy2 sin2 Θ sin 2φ h sin 2Θ sin φ h sin 1£ c。s φ 1 dx 2 dy 2 sin 2 Θ sin 2φ h sin 2Θ sin φ h sin 1£ c. s φ
dxdy dydz dxdz  Dxdy dydz dxdz
所述方程中, δ、 ε分别为成像空间对应的 Thomson各向异性参数; In the equation, δ and ε are respectively Thomson anisotropic parameters corresponding to the imaging space;
θ、 φ分别为成像空间对应的对称轴倾角参数和对称轴方位角参数。  θ and φ are the symmetry axis inclination angle parameters and the symmetry axis azimuth angle parameters corresponding to the imaging space, respectively.
2、 根据权利要求 1所述的方法, 其特征在于, 还包括: 对设定时间间隔的炮点波场模拟 结果进行压缩。  2. The method of claim 1 further comprising: compressing the shot field simulation results for the set time interval.
3、 一种三维地震各向异性介质逆时偏移成像装置, 其特征在于, 包括:  3. A three-dimensional seismic anisotropic medium reverse time migration imaging device, comprising:
炮确定模块, 用于确定需要进行逆时偏移成像的所有炮;  a gun determination module for determining all guns that require reverse time migration imaging;
单炮处理模块, 用于针对每一炮, 执行如下处理步骤:  The single shot processing module is used to perform the following processing steps for each shot:
在该炮对应的炮点位置放置子波, 并应用耦合二阶偏微分方程进行炮点波场模拟; 获取该炮对应的炮数据, 并应用所述耦合二阶偏微分方程进行检波点波场模拟; 应用互相关成像条件对所述炮点波场模拟的结果及所述检波点波场模拟的结果进行成 像, 得到该炮的单炮逆时偏移结果;  The wavelet is placed at the corresponding shot position of the gun, and the coupled second-order partial differential equation is used to simulate the shot wave field; the corresponding gun data is obtained, and the coupled second-order partial differential equation is applied to detect the wave field Simulation; applying the cross-correlation imaging condition to image the result of the shot wave field simulation and the result of the wave field simulation of the detection point, and obtain a single shot reverse time migration result of the shot;
叠加成像模块, 用于对所有炮都执行上述处理步骤后, 将所有炮的单炮逆时偏移结果叠 加起来形成逆时偏移成像剖面; Superimposed imaging module, after performing the above processing steps on all the guns, stacking the results of the single shots of all the guns Add up to form a reverse time migration imaging profile;
其中, 所述耦合二阶偏微分方程为:  Wherein the coupled second-order partial differential equation is:
1 d2p ε-δ 1 d 2 p ε-δ
(ΐ + 2ε)Η2ρ + Η^ + H^p-q) (ΐ + 2ε)Η 2 ρ + Η^ + H^pq)
、 ' - - a
Figure imgf000011_0001
, ' - - a
Figure imgf000011_0001
2 2 d2 2 2 d2 J d 2 2 d 2 2 2 d 2 J d
Hj = sin ^cos φ ~ - + sin ^sin φ ~ - + cos Θ- dx2 dy2 dz sin2 Θ sin 2φ h sin 2Θ sin φ h sin Ιθοο^ - dxdy dydz dxdz Hj = sin ^cos φ ~ - + sin ^sin φ ~ - + cos Θ- dx 2 dy 2 dz sin 2 Θ sin 2φ h sin 2Θ sin φ h sin Ιθοο^ - dxdy dydz dxdz
H9 Η ― Η ―― H H 9 Η ― Η —— H
ox oy oz 所述方程中, δ、 ε分别为成像空间对应的 Thomson各向异性参数; θ、 φ分别为成像空间对应的对称轴倾角参数和对称轴方位角参数。  In the equation of ox oy oz, δ and ε are the Thomson anisotropic parameters corresponding to the imaging space respectively; θ and φ are the symmetry axis inclination parameter and the symmetry axis azimuth parameter corresponding to the imaging space, respectively.
4、 根据权利要求 3所述的装置, 其特征在于, 还包括: 4. The device according to claim 3, further comprising:
压缩模块, 用于对设定时间间隔的炮点波场模拟结果进行压缩。  A compression module is used to compress the simulation results of the shot point wave field at a set time interval.
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