CN106168678A - A kind of crack is propagated separation method and the system of shear wave - Google Patents
A kind of crack is propagated separation method and the system of shear wave Download PDFInfo
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Abstract
本发明提供一种裂隙中传播横波的分离方法及系统,将采集坐标系按照设定角度进行旋转,若采集坐标系的旋转角度即为快波的偏振方位角,采集坐标系便会与自然坐标系重合。若采集坐标系旋转角度为β,旋转后的径向分量R(t)即为慢波分量,横向分量T(t)即为快波分量。此时,快、慢波分量的能量比值即为测量得到的径向分量R(t)和横向分量T(t)的能量比值,而此比值应该与裂隙走向方位角的正切值相等。本方案以上述关系为理论基础,分析旋转采集坐标系后得到的径向分量R(t)和横向分量T(t)的能量比值是否与旋转角度的正切值相等,当二者相等时,则旋转角度即可认定为快波的偏振方位角。本发明的上述方案,分析运算过程简单,且与已有理论相契合具有很高的准确性。
The present invention provides a method and system for separating shear waves propagating in cracks. The acquisition coordinate system is rotated according to a set angle. If the rotation angle of the acquisition coordinate system is the polarization azimuth of the fast wave, the acquisition coordinate system will be aligned with the natural coordinates. Department of coincidence. If the rotation angle of the collection coordinate system is β, the rotated radial component R(t) is the slow wave component, and the transverse component T(t) is the fast wave component. At this time, the energy ratio of the fast and slow wave components is the energy ratio of the measured radial component R(t) and transverse component T(t), and this ratio should be equal to the tangent of the fracture strike azimuth. Based on the above relationship, this program analyzes whether the energy ratio of the radial component R(t) and the transverse component T(t) obtained after rotating the acquisition coordinate system is equal to the tangent of the rotation angle. When the two are equal, then The rotation angle can be regarded as the polarization azimuth angle of the fast wave. The above scheme of the present invention has a simple analysis and calculation process, and is consistent with existing theories and has high accuracy.
Description
技术领域technical field
本发明涉及地震勘探技术领域,具体涉及一种裂隙中传播横波的分离方法及系统。The invention relates to the technical field of seismic exploration, in particular to a separation method and system for shear waves propagating in cracks.
背景技术Background technique
当横波在裂隙型各向异性介质中传播时,入射横波的偏振方向发生改变,分裂为两个偏振方向互相垂直的独立横波。这两个横波以不同的振幅和速度传播,其中平行于裂隙走向的横波速度较快,称为快波,由S1表示;垂直于裂隙走向的横波速度较慢,称为慢波,由S2表示。如图2所示,由快波S1和慢波S2方向确定的裂隙方位坐标系,称为自然坐标系,由单点纵波震源和三分量(X,Y,Z)检波器组成的坐标系为采集坐标系。通常采集坐标系与自然坐标系之间存在一个未知角度,即裂隙走向方位角。由于快波的偏振方位角与裂隙走向方位角相同,因此只要得到快波的偏振方位角,分离快慢波,就能够准确预测裂隙走向。因此准确分离快慢波,是现有裂隙走向方位判断的关键,而现有技术中尚未有准确度较高的快慢波分离方法可以投入到实际应用中。When a shear wave propagates in a cracked anisotropic medium, the polarization direction of the incident shear wave changes and splits into two independent shear waves whose polarization directions are perpendicular to each other. The two shear waves propagate with different amplitudes and velocities, among which the shear wave parallel to the fracture direction is faster, called the fast wave, represented by S1 ; the shear wave perpendicular to the fracture direction is slower, called the slow wave, represented by S 2 said. As shown in Fig. 2 , the fracture azimuth coordinate system determined by the direction of fast wave S1 and slow wave S2 is called the natural coordinate system, which is composed of a single - point longitudinal wave source and a three-component (X, Y, Z) detector. system is the acquisition coordinate system. Usually there is an unknown angle between the acquisition coordinate system and the natural coordinate system, that is, the azimuth of the fracture strike. Since the polarization azimuth of the fast wave is the same as the azimuth of the fracture direction, the direction of the fracture can be accurately predicted as long as the polarization azimuth of the fast wave is obtained and the fast and slow waves are separated. Therefore, accurate separation of fast and slow waves is the key to judging the orientation of existing fractures, but there is no fast and slow wave separation method with high accuracy in the prior art that can be put into practical application.
发明内容Contents of the invention
本发明要解决的技术问题是现有技术中裂隙传播横波的快慢波分离方法准确度低。The technical problem to be solved by the present invention is that the accuracy of the fast and slow wave separation method of the fracture propagating shear wave in the prior art is low.
为了解决上述技术问题,本发明提供如下技术方案:In order to solve the above technical problems, the present invention provides the following technical solutions:
一种裂隙中传播横波的分离方法,包括如下步骤:A method for separating shear waves propagating in a crack, comprising the steps of:
旋转采集坐标系,其旋转角度为逆时针方向角度α;Rotate the acquisition coordinate system, and its rotation angle is the angle α in the counterclockwise direction;
以旋转后的采集坐标系为基准,采集横波的径向分量R(t)和横向分量T(t),其中t为横波在裂隙中的传播时间;Based on the rotated acquisition coordinate system, the radial component R(t) and transverse component T(t) of the shear wave are collected, where t is the propagation time of the shear wave in the crack;
获取采集到的所述径向分量R(t)和横向分量T(t)的能量比值G;Obtain the energy ratio G of the collected radial component R(t) and transverse component T(t);
判断旋转角度α是否满足tg(90°-α)=G;Judging whether the rotation angle α satisfies tg(90°-α)=G;
若不满足则对旋转角度α进行调整后返回旋转采集坐标系的步骤;If not satisfied, the step of returning to the rotating acquisition coordinate system after adjusting the rotation angle α;
若满足则获取快波分量S1(t)和慢波分量S2(t)的表达式:If it is satisfied, the expressions of the fast wave component S 1 (t) and the slow wave component S 2 (t) are obtained:
S1(t)=R(t)cosβ-T(t)sinβ;S2(t)=R(t)sinβ+T(t)cosβ;S 1 (t)=R(t)cosβ-T(t)sinβ; S 2 (t)=R(t)sinβ+T(t)cosβ;
其中,β=90°-α,S1(t)和S2(t)分别表示快波分量和慢波分量在传播时间为t时对应传播距离;Among them, β=90°-α, S 1 (t) and S 2 (t) respectively represent the corresponding propagation distance of the fast wave component and the slow wave component when the propagation time is t;
根据快波分量S1(t)和慢波分量S2(t)的表达式判断快波分量S1(t)是否比慢波分量S2(t)先到达特定位置;According to the expressions of the fast wave component S 1 (t) and the slow wave component S 2 (t), it is judged whether the fast wave component S 1 (t) arrives at a specific position before the slow wave component S 2 (t);
若是则判定β为快波的偏振方位角,否则对旋转角度α进行调整后返回旋转采集坐标系的步骤。If yes, determine that β is the polarization azimuth angle of the fast wave; otherwise, adjust the rotation angle α and return to the step of rotating the acquisition coordinate system.
优选地,上述的裂隙中传播横波的分离方法还包括如下步骤:Preferably, the above-mentioned method for separating shear waves propagating in cracks further includes the following steps:
根据快波分量S1(t)和慢波分量S2(t)的表达式得到快波分量和慢波分量传播时间差。According to the expressions of the fast wave component S 1 (t) and the slow wave component S 2 (t), the propagation time difference between the fast wave component and the slow wave component is obtained.
优选地,上述的裂隙中传播横波的分离方法还包括如下步骤:Preferably, the above-mentioned method for separating shear waves propagating in cracks further includes the following steps:
根据快波的偏振方位角β对所述快波分量S1(t)和所述慢波分量S2(t)的表达式的振幅进行校正处理。The amplitudes of the expressions of the fast wave component S 1 (t) and the slow wave component S 2 (t) are corrected according to the polarization azimuth angle β of the fast wave.
优选地,上述的裂隙中传播横波的分离方法,快波的偏振方位角对所述快波分量S1(t)和所述慢波分量S2(t)的表达式的振幅进行校正处理的步骤中,根 据数值模拟方法进行校正处理,得到:Preferably, in the separation method of the shear wave propagating in the above-mentioned crack, the polarization azimuth angle of the fast wave corrects the amplitude of the expressions of the fast wave component S 1 (t) and the slow wave component S 2 (t) In the step, the correction process is carried out according to the numerical simulation method to obtain:
校正后的快波分量表达式:S01(t)=S1(t)/cosβ;The corrected fast wave component expression: S 01 (t) = S 1 (t)/cosβ;
校正后的慢波分量表达式:S02(t)=S2(t)/sinβ。The corrected slow wave component expression: S 02 (t)=S 2 (t)/sinβ.
基于同一发明构思,本发明还提供一种裂隙中传播的横波分离系统,包括:Based on the same inventive concept, the present invention also provides a shear wave separation system propagating in cracks, including:
旋转单元,旋转采集坐标系,其旋转角度为逆时针方向角度α;The rotation unit rotates the acquisition coordinate system, and its rotation angle is the angle α in the counterclockwise direction;
采集单元,以旋转后的采集坐标系为基准,采集横波的径向分量R(t)和横向分量T(t),其中t为横波在裂隙中的传播时间;The acquisition unit, based on the rotated acquisition coordinate system, acquires the radial component R(t) and the transverse component T(t) of the shear wave, where t is the propagation time of the shear wave in the crack;
数据获取单元,获取采集到的所述径向分量R(t)和横向分量T(t)的能量比值G;The data acquisition unit acquires the energy ratio G of the collected radial component R(t) and transverse component T(t);
第一判断单元,判断旋转角度α是否满足tg(90°-α)=G;The first judging unit judges whether the rotation angle α satisfies tg(90°-α)=G;
处理单元,在所述判断单元的判断结果为是时,获取快波分量S1(t)和慢波分量S2(t)的表达式:S1(t)=R(t)cosβ-T(t)sinβ;S2(t)=R(t)sinβ+T(t)cosβ;其中,β=90°-α,S1(t)和S2(t)分别表示快波分量和慢波分量在传播时间为t时对应传播距离;The processing unit, when the determination result of the determination unit is yes, obtains the expressions of the fast wave component S 1 (t) and the slow wave component S 2 (t): S 1 (t)=R(t)cosβ-T (t)sinβ; S 2 (t)=R(t)sinβ+T(t)cosβ; where, β=90°-α, S 1 (t) and S 2 (t) represent fast wave component and slow wave component respectively The wave component corresponds to the propagation distance when the propagation time is t;
第二判断单元,根据快波分量S1(t)和慢波分量S2(t)的表达式判断快波分量S1(t)是否比慢波分量S2(t)先到达特定位置;The second judging unit judges whether the fast wave component S 1 (t) arrives at a specific position earlier than the slow wave component S 2 (t) according to the expressions of the fast wave component S 1 (t) and the slow wave component S 2 (t);
所述旋转单元,在所述判断单元的判断结果为否时对旋转角度α进行调整后,旋转所述采集坐标系;The rotation unit rotates the acquisition coordinate system after adjusting the rotation angle α when the determination result of the determination unit is negative;
所述旋转单元,在所述第一判断单元的判断结果或第二判断单元的判断结果为否时,对旋转角度α进行调整后旋转采集坐标系;The rotation unit rotates the acquisition coordinate system after adjusting the rotation angle α when the judgment result of the first judgment unit or the judgment result of the second judgment unit is No;
所述处理单元,在所述第二判断单元的判断结果为是时,判定β为快波 的偏振方位角,S1(t)=R(t)cosβ-T(t)sinβ为分离后的快波表达式,S2(t)=R(t)sinβ+T(t)cosβ为分离后的慢波表达式。The processing unit, when the judgment result of the second judging unit is yes, judges that β is the polarization azimuth angle of the fast wave, and S 1 (t)=R(t)cosβ-T(t)sinβ is the separated Fast wave expression, S 2 (t)=R(t) sinβ+T(t)cosβ is the separated slow wave expression.
优选地,上述的裂隙中传播的横波分离系统,所述数据获取单元还用于根据快波分量S1(t)和慢波分量S2(t)的表达式得到快波分量和慢波分量传播时间差。Preferably, in the above-mentioned shear wave separation system propagating in the crack, the data acquisition unit is also used to obtain the fast wave component and the slow wave component according to the expressions of the fast wave component S 1 (t) and the slow wave component S 2 (t) Poor propagation time.
优选地,上述的裂隙中传播的横波分离系统,还包括:Preferably, the above-mentioned shear wave separation system propagating in the fracture further includes:
校正单元,根据快波的偏振方位角β对所述快波分量S1(t)和所述慢波分量S2(t)的表达式的振幅进行校正处理。The correction unit corrects the amplitudes of the expressions of the fast wave component S 1 (t) and the slow wave component S 2 (t) according to the polarization azimuth angle β of the fast wave.
优选地,上述的裂隙中传播的横波分离系统,所述校正单元,根据数值模拟方法进行校正处理,得到校正后的快波分量表达式:S01(t)=S1(t)/cosβ;校正后的慢波分量表达式:S02(t)=S2(t)/sinβ。Preferably, in the above-mentioned shear wave separation system propagating in the crack, the correction unit performs correction processing according to a numerical simulation method to obtain a corrected fast wave component expression: S 01 (t)=S 1 (t)/cosβ; The corrected slow wave component expression: S 02 (t)=S 2 (t)/sinβ.
本发明提供的上述技术方案,与现有技术相比,至少具有以下有益效果:The technical solution provided by the present invention, compared with the prior art, at least has the following beneficial effects:
(1)本发明所述的裂隙中传播横波的分离方法及系统,将采集坐标系按照设定角度进行旋转,若采集坐标系的旋转角度即为快波的偏振方位角(即裂隙走向方位角),采集坐标系便会与自然坐标系重合。根据已有知识,可以推得,若采集坐标系旋转角度为β,那么旋转后的径向分量R(t)即为慢波分量,横向分量T(t)即为快波分量。此时,快、慢波分量的能量比值即为测量得到的径向分量R(t)和横向分量T(t)的能量比值,而此比值应该与裂隙走向方位角余角的正切值相等。本方案以上述关系为理论基础,分析旋转采集坐标系后得到的径向分量R(t)和横向分量T(t)的能量比值是否与旋转角度余角的正切值相等,当二者相等时,则旋转角度即可认定为快波的偏振方位角(即裂隙走向方位角)。本发明的上述方案,分析运算过程简单,且与已有理论相契合具有很高的准确性。(1) In the method and system for separating shear waves propagating in cracks according to the present invention, the acquisition coordinate system is rotated according to the set angle, if the rotation angle of the acquisition coordinate system is the polarization azimuth of the fast wave (i.e. the azimuth of the direction of the crack). ), the acquisition coordinate system will coincide with the natural coordinate system. According to the existing knowledge, it can be deduced that if the rotation angle of the acquisition coordinate system is β, then the rotated radial component R(t) is the slow wave component, and the transverse component T(t) is the fast wave component. At this time, the energy ratio of the fast and slow wave components is the energy ratio of the measured radial component R(t) and transverse component T(t), and this ratio should be equal to the tangent of the complementary angle of the fracture strike azimuth. This program is based on the above relationship as a theoretical basis, and analyzes whether the energy ratio of the radial component R(t) and the transverse component T(t) obtained after rotating the acquisition coordinate system is equal to the tangent of the complementary angle of the rotation angle, when the two are equal , then the rotation angle can be regarded as the polarization azimuth angle of the fast wave (that is, the azimuth angle of the crack strike). The above scheme of the present invention has a simple analysis and calculation process, and is consistent with existing theories and has high accuracy.
(2)本发明所述的裂隙中传播横波的分离方法及系统,考虑到不同角度可 能具有相同的正切值,因此在判断旋转角度余角的正切值与径向分量和横向分量的能量比值相等时,进一步根据得到的结果对快波和慢波的传播关系进行判断。由于快波的传播速度比慢波的传播速度快,因此可以根据快波函数表达式和慢波函数表达式分得到时间、位置关系,确实快波先于慢波到达特定位置时,则可以认为所得到的结果是准确的,否则结果为不准确的,通过本步骤能够进一步保证分离结果的准确性。(2) The separation method and system of shear waves propagating in the cracks of the present invention consider that different angles may have the same tangent value, so when judging the tangent value of the residual angle of the rotation angle and the energy ratio of the radial component and the transverse component are equal , further judge the propagation relationship between the fast wave and the slow wave according to the obtained results. Since the propagation speed of the fast wave is faster than that of the slow wave, the relationship between time and position can be obtained according to the expression of the fast wave function and the expression of the slow wave function. If it is true that the fast wave arrives at a specific position before the slow wave, it can be considered that The obtained result is accurate, otherwise the result is inaccurate, and the accuracy of the separation result can be further guaranteed through this step.
(3)本发明所述的裂隙中传播横波的分离方法及系统,还包括对快波分量和慢波分量的振幅进行校正处理的步骤,通过数值模拟方法对快波和慢波振幅进行校正,可以得到更为准确的沿裂隙方向入射和偏振的快波分量和垂直于裂隙方向入射和偏振的慢波分量。(3) The separation method and system of the shear wave propagating in the crack of the present invention also includes the step of correcting the amplitude of the fast wave component and the slow wave component, and correcting the amplitude of the fast wave and the slow wave by a numerical simulation method, More accurate fast wave components incident and polarized along the direction of the slit and slow wave components incident and polarized perpendicular to the direction of the slit can be obtained.
附图说明Description of drawings
图1为本发明一个实施例所述裂隙中传播横波的分离方法的流程图;Fig. 1 is the flow chart of the separation method of propagating shear wave in the fracture described in one embodiment of the present invention;
图2为采集坐标系与快慢波之间角度关系示意图;Fig. 2 is a schematic diagram of the angular relationship between the acquisition coordinate system and the fast and slow waves;
图3为裂隙判别式曲线;Figure 3 is the crack discriminant curve;
图4A、4B为本发明一个实施例所述裂隙走向方位角的结果判别曲线;Fig. 4A, 4B are the result discriminant curves of the crack strike azimuth angle according to one embodiment of the present invention;
图5A-5D为本发明一个实施例所述横波曲线由X、Y分量依次变换为R、T分量、S1、S2分量、S01、S02分量的曲线图;Figures 5A-5D are graphs showing the transformation of the shear wave curve from X, Y components to R, T components, S 1 , S 2 components, S 01 , S 02 components in turn according to an embodiment of the present invention;
图6发明一个实施例所述裂隙中传播横波的分离方法的原理框图;Fig. 6 is a functional block diagram of a method for separating shear waves propagating in a crack according to an embodiment of the invention;
图7为本发明一个是实施例所述煤层地质模型示意图;Fig. 7 is a schematic diagram of a coal seam geological model described in an embodiment of the present invention;
图8A为图7所示模型的波场径向分量记录;Fig. 8A is the radial component record of the wave field of the model shown in Fig. 7;
图8B为图7所示模型的波场横向分量记录;Fig. 8B is the record of the transverse component of the wave field of the model shown in Fig. 7;
图8C为图7所示模型的波场Z向分量记录;Fig. 8C is the record of the Z-direction component of the wave field of the model shown in Fig. 7;
图9A、9B为CCP道集方位角叠加示意图。9A and 9B are schematic diagrams of azimuth angle superposition of CCP gathers.
其中的附图标记为:The reference signs therein are:
1-旋转单元,2-采集单元,3-数据获取单元,4-第一判断单元,5-处理单元,6-第二判断单元,7-校正单元。1-rotation unit, 2-acquisition unit, 3-data acquisition unit, 4-first judgment unit, 5-processing unit, 6-second judgment unit, 7-correction unit.
具体实施方式detailed description
实施例1Example 1
本实施例提供一种裂隙中传播横波的分离方法,如图1所示,包括如下步骤:This embodiment provides a method for separating shear waves propagating in a crack, as shown in Figure 1, comprising the following steps:
S1:旋转采集坐标系,其旋转角度为α,所述旋转角度以逆时针方向为基准。本步骤中,对于采集坐标系的旋转方向没有特定要求,只是最终得到的旋转角度是以逆时针方向为标准得到的,例如可以顺时针旋转240°,最终得到旋转角度为逆时针旋转120°,则旋转角度为120°。作为另一种计量方式,可以认为顺时针旋转角度为负,逆时针旋转角度为正,例如顺时针旋转了30°,可以认为逆时针旋转了-30°。S 1 : rotate the acquisition coordinate system, the rotation angle is α, and the rotation angle is based on the counterclockwise direction. In this step, there is no specific requirement for the rotation direction of the acquisition coordinate system, but the final rotation angle is based on the counterclockwise direction. For example, it can be rotated 240° clockwise, and the final rotation angle is 120° counterclockwise. Then the rotation angle is 120°. As another measurement method, it can be considered that the clockwise rotation angle is negative and the counterclockwise rotation angle is positive. For example, if the clockwise rotation is 30°, it can be considered as -30° counterclockwise rotation.
S2:以旋转后的采集坐标系为基准,采集横波的径向分量R(t)和横向分量T(t),其中t为横波在裂隙中的传播时间。本步骤中可利用现有技术中的检波器,根据检波器可检测得到X(t)分量和Y(t)分量,根据检波器的X(t)分量和Y(t)分量,能够进一步得到径向分量R(t)和横向分量T(t):R(t)=X(t)cosα-Y(t)sinα;T(t)=X(t)sinα+Y(t)cosα。S2: Based on the rotated collection coordinate system, collect the radial component R(t) and transverse component T(t) of the shear wave, where t is the propagation time of the shear wave in the fracture. In this step, the geophone in the prior art can be utilized, and the X(t) component and the Y(t) component can be detected according to the geophone, and can be further obtained according to the X(t) component and the Y(t) component of the geophone. Radial component R(t) and transverse component T(t): R(t)=X(t)cosα-Y(t)sinα; T(t)=X(t)sinα+Y(t)cosα.
S3:获取采集到的所述径向分量R(t)和横向分量T(t)的能量比值G。S3: Obtain the energy ratio G of the collected radial component R(t) and transverse component T(t).
S4:判断旋转角度α是否满足tg(90°-α)=G;若不满足则进入步骤S8;若满足则进入步骤S5。S4: Judging whether the rotation angle α satisfies tg(90°-α)=G; if not, proceed to step S8; if satisfied, proceed to step S5.
S5:获取快波分量S1(t)和慢波分量S2(t)的表达式:S1(t)=R(t)cosβ-T(t)sinβ;S2(t)=R(t)sinβ+T(t)cosβ;其中,β=90°-α,S1(t)和S2(t)分别表示快波分量和慢波分量在传播时间为t时对应传播距离。S5: Obtain the expressions of the fast wave component S 1 (t) and the slow wave component S 2 (t): S 1 (t)=R(t)cosβ-T(t)sinβ; S 2 (t)=R( t)sinβ+T(t)cosβ; wherein, β=90°-α, S 1 (t) and S 2 (t) respectively represent the corresponding propagation distances of the fast wave component and the slow wave component when the propagation time is t.
S6:根据快波分量S1(t)和慢波分量S2(t)的表达式判断快波分量S1(t)是否比慢波分量S2(t)先到达特定位置;若是则进入步骤S7,否则进入步骤S8。S6: According to the expressions of the fast wave component S 1 (t) and the slow wave component S 2 (t), judge whether the fast wave component S 1 (t) arrives at a specific position before the slow wave component S 2 (t); if so, enter Step S7, otherwise go to step S8.
S7:判定β为快波的偏振方位角,S1(t)=R(t)cosβ-T(t)sinβ为分离后的快波表达式,S2(t)=R(t)sinβ+T(t)cosβ为分离后的慢波表达式。S7: Determining that β is the polarization azimuth of the fast wave, S 1 (t)=R(t)cosβ-T(t)sinβ is the expression of the separated fast wave, S 2 (t)=R(t)sinβ+ T(t)cosβ is the separated slow wave expression.
S8:对旋转角度α进行调整后返回步骤S1。S8: Return to step S1 after adjusting the rotation angle α.
下面结合附图对上述结果进行详细推导。为了定量描述横波分裂后的快慢波与分裂前横波之间的关系,以图2中的采集坐标系为基准进行说明。其中裂隙走向与测线方向的夹角为β,本实施例中忽略透射能量损失,当横波垂直上行时,假设它的质点振动方向与测线方向平行,在时刻t的位移为S,进入直立裂隙地层后,分裂出的快波S1和慢波S2可以由公式(1)表示:The above results are deduced in detail below in conjunction with the accompanying drawings. In order to quantitatively describe the relationship between the fast and slow waves after shear wave splitting and the shear wave before splitting, the acquisition coordinate system in Fig. 2 is used as a reference for illustration. The angle between the direction of the crack and the direction of the measuring line is β, and the transmission energy loss is ignored in this embodiment. When the shear wave is vertically upward, assuming that its particle vibration direction is parallel to the direction of the measuring line, the displacement at time t is S, and enters the vertical After the fractured formation, the split fast wave S 1 and slow wave S 2 can be expressed by formula (1):
显然,实际记录的X分量和Y分量为:Obviously, the actual recorded X and Y components are:
从图1不难发现,若将XOY坐标系逆时针旋转角度90°-β,旋转后的分量R为慢波,分量T为快波,旋转后分量XR和分量YR的表达式为:It is not difficult to find from Figure 1 that if the XOY coordinate system is rotated counterclockwise by an angle of 90°-β, the component R after rotation is a slow wave, and the component T is a fast wave. The expressions of the components X R and Y R after rotation are:
可验证得到:It can be verified that:
假设旋转角为90°-α,旋转后分量R和分量T的表达式为:Assuming that the rotation angle is 90°-α, the expressions of the components R and T after rotation are:
结合式(1)-(5),将与分量R和分量T有关的表达式进行整理后得到:Combining the formulas (1)-(5), the expressions related to the components R and T are arranged to obtain:
由此可以得到:From this you can get:
当α=β时,若只考虑快、慢波的能量,计算分量R和分量T的能量比值G,则有:When α=β, if only the energy of fast and slow waves is considered, and the energy ratio G of component R and component T is calculated, then:
式(8)说明,当把采集坐标系旋转到自然坐标系时,旋转后地震波的能量比与旋转角度的余角的正切值相等,因此,可以根据式(8)求取地下裂隙的发育主方位,即裂隙走向的方位角。Equation (8) shows that when the acquisition coordinate system is rotated to the natural coordinate system, the energy ratio of the rotated seismic wave is equal to the tangent of the complementary angle of the rotation angle. Azimuth, that is, the azimuth angle of the fracture direction.
本实施例的上述方案,将采集坐标系按照设定角度进行旋转,若采集坐 标系的旋转角度即为快波的偏振方位角(即裂隙走向方位角),采集坐标系便会与自然坐标系重合。根据已有知识,可以推得,若采集坐标系旋转角度为β,那么旋转后的径向分量R(t)即为慢波分量,横向分量T(t)即为快波分量。此时,快、慢波分量的能量比值即为测量得到的径向分量R(t)和横向分量T(t)的能量比值,而此比值应该与裂隙走向方位角的正切值相等。本方案以上述关系为理论基础,分析旋转采集坐标系后得到的径向分量R(t)和横向分量T(t)的能量比值是否与旋转角度的余角的正切值相等,当二者相等时,则旋转角度即可认定为快波的偏振方位角(即裂隙走向方位角)。本实施例的上述方案,分析运算过程简单,且与已有理论相契合具有很高的准确性。In the above scheme of this embodiment, the collection coordinate system is rotated according to the set angle. If the rotation angle of the collection coordinate system is the polarization azimuth angle of the fast wave (that is, the azimuth angle of the crack direction), the collection coordinate system will be different from the natural coordinate system. coincide. According to the existing knowledge, it can be deduced that if the rotation angle of the acquisition coordinate system is β, then the rotated radial component R(t) is the slow wave component, and the transverse component T(t) is the fast wave component. At this time, the energy ratio of the fast and slow wave components is the energy ratio of the measured radial component R(t) and transverse component T(t), and this ratio should be equal to the tangent of the fracture strike azimuth. This program is based on the above relationship as a theoretical basis, and analyzes whether the energy ratio of the radial component R(t) and the transverse component T(t) obtained after rotating the acquisition coordinate system is equal to the tangent of the complementary angle of the rotation angle, when the two are equal , then the rotation angle can be regarded as the polarization azimuth angle of the fast wave (that is, the azimuth angle of the crack strike). The above scheme of this embodiment has a simple analysis and calculation process, and is consistent with existing theories with high accuracy.
在实际求取过程中,用一系列β值对分量R和分量T进行转换,并对应各β值计算相应的能量比值G和正切值,形成G(β)和tgβ两条曲线,称之为判别式曲线,如图3所示。两条曲线交点处的β值即为地层裂隙走向的方位角,也即快波的偏振方位角。In the actual calculation process, a series of β values are used to convert the component R and the component T, and the corresponding energy ratio G and tangent value are calculated corresponding to each β value, forming two curves of G(β) and tgβ, which are called The discriminant curve is shown in Figure 3. The β value at the intersection of the two curves is the azimuth of the formation fracture, that is, the polarization azimuth of the fast wave.
从图中也可以看出,利用上述方法进行裂隙方位检测时,整个0~180°区间内有两个解30°和120°,为了对解的正确性进行判别,进行了数值模拟研究。图4A所示为裂隙走向方位角为30°时快慢波传播曲线,通过对比分析得知,快波S1比慢波S2先到达特定位置。图4B所示为裂隙走向方位角为120°时快慢波传播曲线,通过对比分析得知,快波S1比慢波S2后到达特定位置。显然旋转30°的结果是正确的,120°的结果是不正确的。It can also be seen from the figure that when using the above method to detect the crack orientation, there are two solutions 30° and 120° in the entire range of 0-180°. In order to judge the correctness of the solution, a numerical simulation study was carried out. Figure 4A shows the fast and slow wave propagation curves when the azimuth of the fracture strike is 30°. Through comparative analysis, it can be seen that the fast wave S 1 arrives at a specific position earlier than the slow wave S 2 . Figure 4B shows the fast and slow wave propagation curves when the azimuth of the fracture strike is 120°. Through comparative analysis, it can be seen that the fast wave S 1 arrives at a specific position later than the slow wave S 2 . Obviously the result of rotating 30° is correct, and the result of 120° is incorrect.
进一步优选地,本实施例的上述方法还包括如下步骤:Further preferably, the above-mentioned method of this embodiment also includes the following steps:
S9:根据快波分量S1(t)和慢波分量S2(t)的表达式得到快波分量和慢波分量传播时间差。S9: According to the expressions of the fast wave component S 1 (t) and the slow wave component S 2 (t), obtain the propagation time difference between the fast wave component and the slow wave component.
如图4A所示,一旦确定了快波和慢波的传播曲线,很容易得到快波和慢波的传播时间差,图4所示二者的传播时间差为6s。As shown in Figure 4A, once the propagation curves of the fast wave and the slow wave are determined, it is easy to obtain the propagation time difference between the fast wave and the slow wave, as shown in Figure 4, the propagation time difference between the two is 6s.
进一步优选地,本实施例的上述方法还包括如下步骤:Further preferably, the above-mentioned method of this embodiment also includes the following steps:
S10:根据快波的偏振方位角β对所述快波分量S1(t)和所述慢波分量S2(t)的表达式的振幅进行校正处理。根据数值模拟方法进行校正处理,得到:校正后的快波分量表达式:S01(t)=S1(t)/cosβ;校正后的慢波分量表达式:S02(t)=S2(t)/sinβ。S10: Perform correction processing on the amplitudes of the expressions of the fast wave component S 1 (t) and the slow wave component S 2 (t) according to the polarization azimuth angle β of the fast wave. Correction processing is carried out according to the numerical simulation method to obtain: the expression of the fast wave component after correction: S 01 (t)=S 1 (t)/cosβ; the expression of the slow wave component after correction: S 02 (t)=S 2 (t)/sinβ.
利用二维两分量旋转法得到的快波分量和慢波分量的振幅与炮检方位有关,而最终想要得到的沿裂隙方位入射与偏振的快波和垂直裂隙入射与偏振的慢波的振幅只取决于震源强度而与炮检方位无关。采用数值模拟方法进行研究发现按照上式对S1(t)和S2(t)分量进行振幅恢复校正,可求出沿裂隙方向入射和偏振的快波S01(t)及垂直裂隙方向入射和偏振的慢波S02(t)。本实施例以上所述横波的分量的变换过程可以根据图5A至图5D所示曲线较直观的得到。The amplitudes of the fast-wave component and the slow-wave component obtained by using the two-dimensional two-component rotation method are related to the offset azimuth, and the final desired amplitude of the fast wave incident and polarized along the crack azimuth and the slow wave incident and polarized perpendicular to the crack It only depends on the strength of the source and has nothing to do with the orientation of the shot inspection. Using the numerical simulation method to study, it is found that the amplitude recovery correction of the S 1 (t) and S 2 (t) components according to the above formula can be calculated for the fast wave S 01 (t) incident and polarized along the direction of the crack and the incident direction perpendicular to the crack. and polarized slow wave S 02 (t). The conversion process of the shear wave components described above in this embodiment can be obtained intuitively according to the curves shown in FIG. 5A to FIG. 5D .
实施例2Example 2
本实施例提供一种裂隙中传播的横波分离系统,如图6所示,包括:This embodiment provides a shear wave separation system propagating in a crack, as shown in Figure 6, including:
旋转单元1,旋转采集坐标系,其旋转角度为逆时针方向角度α;Rotation unit 1, which rotates the acquisition coordinate system, and its rotation angle is the angle α in the counterclockwise direction;
采集单元2,以旋转后的采集坐标系为基准,采集横波的径向分量R(t)和横向分量T(t),其中t为横波在裂隙中的传播时间;Acquisition unit 2, based on the rotated acquisition coordinate system, acquires the radial component R(t) and transverse component T(t) of the shear wave, where t is the propagation time of the shear wave in the crack;
数据获取单元3,获取采集到的所述径向分量R(t)和横向分量T(t)的能量比值G;A data acquisition unit 3, which acquires the energy ratio G of the collected radial component R(t) and transverse component T(t);
第一判断单元4,判断旋转角度α是否满足tg(90°-α)=R;The first judging unit 4 judges whether the rotation angle α satisfies tg(90°-α)=R;
处理单元5,在所述判断单元4的判断结果为是时,获取快波分量S1(t)和慢波分量S2(t)的表达式:S1(t)=R(t)cosβ-T(t)sinβ;S2(t)=R(t)sinβ+T(t)cosβ;其中,β=90°-α,S1(t)和S2(t)分别表示快波分量和慢波分量在传播时间为t时对应传播距离。The processing unit 5, when the determination result of the determination unit 4 is yes, obtains the expressions of the fast wave component S 1 (t) and the slow wave component S 2 (t): S 1 (t)=R(t)cosβ -T(t)sinβ; S 2 (t)=R(t)sinβ+T(t)cosβ; where, β=90°-α, S 1 (t) and S 2 (t) respectively represent fast wave components And the slow wave component corresponds to the propagation distance when the propagation time is t.
第二判断单元6,根据快波分量S1(t)和慢波分量S2(t)的表达式判断快波分量S1(t)是否比慢波分量S2(t)先到达特定位置;The second judging unit 6 judges whether the fast wave component S 1 (t) arrives at a specific position earlier than the slow wave component S 2 (t) according to the expressions of the fast wave component S 1 (t) and the slow wave component S 2 (t) ;
所述旋转单元1,在所述第一判断单元4的判断结果或第二判断单元6的判断结果为否时,对旋转角度α进行调整后旋转采集坐标系;The rotation unit 1, when the judgment result of the first judgment unit 4 or the judgment result of the second judgment unit 6 is No, adjusts the rotation angle α and then rotates the acquisition coordinate system;
所述处理单元5,在所述第二判断单元6的判断结果为是时,判定β为快波的偏振方位角,S1(t)=R(t)cosβ-T(t)sinβ为分离后的快波表达式,S2(t)=R(t)sinβ+T(t)cosβ为分离后的慢波表达式。本实施例的上述方案考虑到不同角度可能具有相同的正切值,因此在判断旋转角度余角的正切值与径向分量和横向分量的能量比值相等时,进一步根据得到的结果对快波和慢波的传播关系进行判断。由于快波的传播速度比慢波的传播速度快,因此可以根据快波表达式和慢波表达式得到二者传播时间、传播距离的关系,确实快波先于慢波到达特定位置时,则可以认为所得到的结果是准确的,否则结果为不准确的,通过本步骤能够进一步保证分离结果的准确性。The processing unit 5, when the determination result of the second determination unit 6 is yes, determines that β is the polarization azimuth angle of the fast wave, and S 1 (t)=R(t)cosβ-T(t)sinβ is the separation After the fast wave expression, S 2 (t)=R(t) sinβ+T(t)cosβ is the separated slow wave expression. The above scheme of this embodiment considers that different angles may have the same tangent value, so when judging that the tangent value of the complementary angle of rotation is equal to the energy ratio of the radial component and the transverse component, the fast wave and the slow wave are further analyzed according to the obtained results. Determine the wave propagation relationship. Since the propagation speed of the fast wave is faster than that of the slow wave, the relationship between the propagation time and the propagation distance of the two can be obtained according to the fast wave expression and the slow wave expression. If the fast wave arrives at a specific position before the slow wave, then It can be considered that the obtained result is accurate, otherwise the result is inaccurate, and this step can further ensure the accuracy of the separation result.
进一步地,所述数据获取单元3还用于根据快波分量S1(t)和慢波分量S2(t)的表达式得到快波分量和慢波分量传播时间差。一旦确定了快波和慢波的传播曲线,很容易得到快波和慢波的传播时间差。Further, the data acquisition unit 3 is further configured to obtain the propagation time difference between the fast wave component and the slow wave component according to the expressions of the fast wave component S 1 (t) and the slow wave component S 2 (t). Once the propagation curves of the fast and slow waves are determined, it is easy to obtain the difference in travel times of the fast and slow waves.
如图1所示,作为更优选的方案,上述系统还包括:校正单元7,根据快波的偏振方位角β对所述快波分量S1(t)和所述慢波分量S2(t)的表达式的振幅进行校正处理。根据数值模拟方法进行校正处理,得到校正后的快波分量表达式:S01(t)=S1(t)/cosβ;校正后的慢波分量表达式:S02(t)=S2(t)/sinβ。As shown in Figure 1, as a more preferred solution, the above-mentioned system also includes: a correction unit 7, which corrects the fast wave component S 1 (t) and the slow wave component S 2 (t) according to the polarization azimuth angle β of the fast wave ) The amplitude of the expression of ) is corrected. Correction processing is carried out according to the numerical simulation method, and the corrected fast wave component expression is obtained: S 01 (t)=S 1 (t)/cosβ; the corrected slow wave component expression is: S 02 (t)=S 2 ( t)/sinβ.
本实施例的上述方案,将采集坐标系按照设定角度进行旋转,若采集坐标系的旋转角度即为快波的偏振方位角(即裂隙走向方位角),采集坐标系便会与自然坐标系重合。根据已有知识,可以推得,若采集坐标系旋转角度为β,那么旋转后的径向分量R(t)即为慢波分量,横向分量T(t)即为快波分量。此时,快、慢波分量的能量比值即为测量得到的径向分量R(t)和横向分量T(t)的能量比值,而此比值应该与裂隙走向方位角余角的正切值相等。本方案以上述关系 为理论基础,分析旋转采集坐标系后得到的径向分量R(t)和横向分量T(t)的能量比值是否与旋转角度余角的正切值相等,当二者相等时,则旋转角度即可认定为快波的偏振方位角(即裂隙走向方位角)。本实施例的上述方案,分析运算过程简单,且与已有理论相契合具有很高的准确性。In the above scheme of this embodiment, the collection coordinate system is rotated according to the set angle. If the rotation angle of the collection coordinate system is the polarization azimuth angle of the fast wave (that is, the azimuth angle of the crack direction), the collection coordinate system will be different from the natural coordinate system. coincide. According to the existing knowledge, it can be deduced that if the rotation angle of the acquisition coordinate system is β, then the rotated radial component R(t) is the slow wave component, and the transverse component T(t) is the fast wave component. At this time, the energy ratio of the fast and slow wave components is the energy ratio of the measured radial component R(t) and transverse component T(t), and this ratio should be equal to the tangent of the complementary angle of the fracture strike azimuth. This program is based on the above relationship as a theoretical basis, and analyzes whether the energy ratio of the radial component R(t) and the transverse component T(t) obtained after rotating the acquisition coordinate system is equal to the tangent of the complementary angle of the rotation angle, when the two are equal , then the rotation angle can be regarded as the polarization azimuth angle of the fast wave (that is, the azimuth angle of the crack strike). The above scheme of this embodiment has a simple analysis and calculation process, and is consistent with existing theories with high accuracy.
实施例3Example 3
本实施例提供一种煤层裂隙方位的识别标识,为了建立煤层转换波波场和煤层裂隙之间的变化关系,对煤层裂隙模型进行正演模拟。煤层地质模型如图7所示,所有地层均为水平层状,煤层裂隙为互相平行的垂直裂隙,走向与Y轴平行,各层对应的参数如表1。This embodiment provides an identification mark for the orientation of coal seam fissures. In order to establish the change relationship between the coal seam conversion wave field and the coal seam fissures, a forward modeling simulation is performed on the coal seam fissure model. The coal seam geological model is shown in Figure 7. All strata are horizontally layered, and the coal seam fractures are vertical fissures parallel to each other, and the direction is parallel to the Y axis. The parameters corresponding to each layer are shown in Table 1.
表1煤层地质模型物性参数Table 1 Physical property parameters of coal seam geological model
在O点激发,以O点为圆心、半径为r(模型中的r=1400m)的圆测线上接收,裂隙方位角θ以X轴(即正北方向)起算,采用反射率法计算模型的波场,子波选为60Hz的雷克子波,得到如图8A-8C所示的波场记录。Excited at point O, received on a circular survey line with point O as the center and radius r (r=1400m in the model), the azimuth angle θ of the crack is calculated from the X axis (that is, the direction of true north), and the model is calculated using the reflectivity method The wave field is selected as the wavelet of 60Hz Recke wavelet, and the wave field records shown in Figure 8A-8C are obtained.
从波场记录来看,如图8A和8B所示,转换横波穿过煤层时,依其入射方位与裂隙走向的相对关系而发生不同的分裂情况:当入射方位垂直裂隙走向时(即方位角为0°),径向分量R上横波旅行时最长,横向分量T上振幅为零,只产生慢波;当入射方位平行裂隙走向时(即方位角为90°),径向分量R上横波旅行时最短,横向分量T上振幅为零,只产生快波;在其它方位上则可观测到快横波和慢横波两种波,在较小入射角情况下,两种波的到时差随其穿过 煤层路径的加长而变大,当入射方位与裂隙走向呈45°(或225°)角时,横向分量T振幅达到最大,入射方位每隔90°,横向分量T的相位发生180°倒转。From the wave field records, as shown in Figures 8A and 8B, when the converted shear wave passes through the coal seam, different splitting occurs according to the relative relationship between the incident azimuth and the fracture direction: when the incident direction is perpendicular to the fracture direction (that is, the azimuth angle 0°), the travel time of the shear wave on the radial component R is the longest, the amplitude on the transverse component T is zero, and only slow waves are generated; The travel time of the shear wave is the shortest, the amplitude of the transverse component T is zero, and only the fast wave is generated; in other directions, two kinds of waves, the fast shear wave and the slow shear wave, can be observed. The lengthening of the path through the coal seam becomes larger. When the incident azimuth and the fracture direction are at an angle of 45° (or 225°), the amplitude of the transverse component T reaches the maximum. Every 90° of the incident azimuth, the phase of the transverse component T occurs 180° reverse.
如图8C所示,纵波穿过煤层时,也出现速度的方位变化:当入射方位与裂隙走向平行时,速度快,振幅强,垂直时速度慢,振幅弱。这种方位各向异性特征仅在较远的炮检距上才能明显观察到。As shown in Figure 8C, when the longitudinal wave passes through the coal seam, the azimuth of the velocity also changes: when the incident azimuth is parallel to the direction of the fracture, the velocity is fast and the amplitude is strong, and when it is vertical, the velocity is slow and the amplitude is weak. This azimuthal anisotropy feature can only be clearly observed at far offsets.
根据煤层转换波波场特征,可以得出煤层裂隙方位的识别标志,即同时满足径向分量R横波旅行时最短、横向分量T振幅为零的角度就是煤层快波偏振方位角。According to the characteristics of the converted wave field of the coal seam, the identification mark of the coal seam fracture azimuth can be obtained, that is, the angle that satisfies the shortest travel time of the radial component R shear wave and the zero amplitude of the transverse component T is the coal seam fast wave polarization azimuth.
在三维三分量地震数据采集中,共转换点道集内的各道有不同的炮检方位角,因而与裂隙走向有不同的夹角,结果造成各道对应的径向分量和横向分量的振幅和相位均产生相应的变化。对于某一个共转换点道集(即CCP道集),可以形成不同方位角的径向分量和横向分量叠加结果,如图9所示,径向分量和横向分量各有36道,各道均为某一特定方位角范围内各道的叠加结果,第1道代表所有炮检方位角为0~10°范围内各道的叠加,第2道代表所有炮检方位角为11~20°范围内各道的叠加,以此类推。In the three-dimensional three-component seismic data acquisition, each track in the common conversion point gather has different offset azimuth angles, and thus has different included angles with the fracture strike, resulting in the amplitude of the radial component and transverse component corresponding to each track and phase changes accordingly. For a common conversion point gather (i.e. CCP gather), the superposition results of the radial component and transverse component at different azimuth angles can be formed, as shown in Fig. 9, there are 36 traces in the radial component and transverse It is the superposition result of each track within a specific azimuth angle range, the first track represents the superposition of all the channels with azimuth angles within the range of 0° to 10°, and the second track represents the azimuth angles of all shots within the range of 11° to 20° The superposition of each channel, and so on.
本领域内的技术人员应明白,本发明的实施例可提供为方法、系统、或计算机程序产品。因此,本发明可采用完全硬件实施例、完全软件实施例、或结合软件和硬件方面的实施例的形式。而且,本发明可采用在一个或多个其中包含有计算机可用程序代码的计算机可用存储介质(包括但不限于磁盘存储器、CD-ROM、光学存储器等)上实施的计算机程序产品的形式。Those skilled in the art should understand that the embodiments of the present invention may be provided as methods, systems, or computer program products. Accordingly, the present invention can take the form of an entirely hardware embodiment, an entirely software embodiment, or an embodiment combining software and hardware aspects. Furthermore, the present invention may take the form of a computer program product embodied on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) having computer-usable program code embodied therein.
本发明是参照根据本发明实施例的方法、设备(系统)、和计算机程序产品的流程图和/或方框图来描述的。应理解可由计算机程序指令实现流程图和/或方框图中的每一流程和/或方框、以及流程图和/或方框图中的流程和/或方框的结合。可提供这些计算机程序指令到通用计算机、专用计算机、嵌入 式处理机或其他可编程数据处理设备的处理器以产生一个机器,使得通过计算机或其他可编程数据处理设备的处理器执行的指令产生用于实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能的装置。The present invention is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the invention. It should be understood that each procedure and/or block in the flowchart and/or block diagram, and a combination of procedures and/or blocks in the flowchart and/or block diagram can be realized by computer program instructions. These computer program instructions may be provided to a general purpose computer, special purpose computer, embedded processor, or processor of other programmable data processing equipment to produce a machine such that the instructions executed by the processor of the computer or other programmable data processing equipment produce a An apparatus for realizing the functions specified in one or more procedures of the flowchart and/or one or more blocks of the block diagram.
这些计算机程序指令也可存储在能引导计算机或其他可编程数据处理设备以特定方式工作的计算机可读存储器中,使得存储在该计算机可读存储器中的指令产生包括指令装置的制造品,该指令装置实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能。These computer program instructions may also be stored in a computer-readable memory capable of directing a computer or other programmable data processing apparatus to operate in a specific manner, such that the instructions stored in the computer-readable memory produce an article of manufacture comprising instruction means, the instructions The device realizes the function specified in one or more procedures of the flowchart and/or one or more blocks of the block diagram.
这些计算机程序指令也可装载到计算机或其他可编程数据处理设备上,使得在计算机或其他可编程设备上执行一系列操作步骤以产生计算机实现的处理,从而在计算机或其他可编程设备上执行的指令提供用于实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能的步骤。These computer program instructions can also be loaded onto a computer or other programmable data processing device, causing a series of operational steps to be performed on the computer or other programmable device to produce a computer-implemented process, thereby The instructions provide steps for implementing the functions specified in the flow chart or blocks of the flowchart and/or the block or blocks of the block diagrams.
尽管已描述了本发明的优选实施例,但本领域内的技术人员一旦得知了基本创造性概念,则可对这些实施例做出另外的变更和修改。所以,所附权利要求意欲解释为包括优选实施例以及落入本发明范围的所有变更和修改。While preferred embodiments of the present invention have been described, additional changes and modifications can be made to these embodiments by those skilled in the art once the basic inventive concept is appreciated. Therefore, it is intended that the appended claims be construed to cover the preferred embodiment as well as all changes and modifications which fall within the scope of the invention.
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