CN116148925A - VTI medium spherical longitudinal wave reflection coefficient analysis method - Google Patents
VTI medium spherical longitudinal wave reflection coefficient analysis method Download PDFInfo
- Publication number
- CN116148925A CN116148925A CN202310408819.0A CN202310408819A CN116148925A CN 116148925 A CN116148925 A CN 116148925A CN 202310408819 A CN202310408819 A CN 202310408819A CN 116148925 A CN116148925 A CN 116148925A
- Authority
- CN
- China
- Prior art keywords
- wave
- spherical
- displacement
- vti medium
- equation
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Granted
Links
Images
Classifications
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01V—GEOPHYSICS; GRAVITATIONAL MEASUREMENTS; DETECTING MASSES OR OBJECTS; TAGS
- G01V1/00—Seismology; Seismic or acoustic prospecting or detecting
- G01V1/28—Processing seismic data, e.g. analysis, for interpretation, for correction
- G01V1/30—Analysis
- G01V1/307—Analysis for determining seismic attributes, e.g. amplitude, instantaneous phase or frequency, reflection strength or polarity
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01V—GEOPHYSICS; GRAVITATIONAL MEASUREMENTS; DETECTING MASSES OR OBJECTS; TAGS
- G01V2210/00—Details of seismic processing or analysis
- G01V2210/60—Analysis
- G01V2210/63—Seismic attributes, e.g. amplitude, polarity, instant phase
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02T—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
- Y02T90/00—Enabling technologies or technologies with a potential or indirect contribution to GHG emissions mitigation
Abstract
The invention belongs to the technical field of geophysics, and particularly relates to a method for analyzing a spherical longitudinal wave reflection coefficient of a VTI medium. A method for analyzing the reflection coefficient of a spherical longitudinal wave of a VTI medium comprises the following steps: solving a VTI medium spherical wave displacement integral equation; solving displacement fields respectively excited by longitudinal and transverse wave point seismic sources by using a moment method; simplifying a spherical wave displacement equation of the VTI medium; solving the displacement of the spherical reflected wave at the receiving point; defining the spherical wave reflection coefficient of the VTI medium as the ratio of the displacement component of the spherical reflection wave to the displacement component of the incident wave in the polarization direction; and (3) deducing a frequency and depth dependent VTI medium spherical wave reflection coefficient analysis equation directly characterized by the vertical longitudinal wave speed, the density and the anisotropic parameters. The method can accurately describe the spherical wave amplitude and phase frequency-dependent reflection characteristics of the VTI medium, and quantify errors of geometric earthquake approximation under different frequencies, different reflection depths and different incidence angles.
Description
Technical Field
The invention belongs to the technical field of geophysics, and particularly relates to a method for analyzing a spherical longitudinal wave reflection coefficient of a VTI medium.
Background
Transversely isotropic media (VTI media) with a vertical symmetry axis are widely available in the real world. Approximation to VTI-oriented media (ruger, 1997; stovas & Ursin, 2003; zhang & Li, 2013) and exact (Graebner, 1992) plane wave reflection coefficients (PRCs) have been widely used in AVO (amplitude variation with offset) inversion to estimate elasticity and anisotropy parameters in VTI media. However, for spherical wavefields excited by a point source, the VTI medium plane wave reflection coefficient suffers from fundamental problems, especially at low frequencies, near fields, and near or post critical angles of incidence where the spherical wave effect is significant.
In view of the complexity of solving the spherical wave reflection coefficient of the VTI medium, a technical scheme for directly solving the analysis expression of the spherical wave reflection coefficient of the VTI medium is not realized in the prior art. Therefore, the analysis method of the longitudinal wave reflection coefficient of the spherical surface of the VTI medium can fully consider the wavefront curvature of the spherical surface of the VTI medium and accurately characterize the amplitude and the phase frequency variation characteristics of the spherical surface reflection wave of the VTI medium.
Disclosure of Invention
The invention aims to provide a method for analyzing the reflection coefficient of a spherical longitudinal wave of a VTI medium. In order to achieve the above purpose, the invention adopts the following technical scheme: a method for analyzing the reflection coefficient of a spherical longitudinal wave of a VTI medium comprises the following steps:
step 2, solving displacement fields respectively excited by longitudinal and transverse wave point seismic sources by using a moment method;
step 3, simplifying a spherical wave displacement equation of the VTI medium;
step 4, calculating the displacement of the spherical reflection wave at the receiving point;
step 5, defining the spherical wave reflection coefficient of the VTI medium as the ratio of the displacement components of the spherical reflection wave and the incident wave in the polarization direction;
and 6, deducing a frequency and depth dependent VTI medium spherical wave reflection coefficient analysis equation directly characterized by the vertical longitudinal wave speed, the density and the anisotropic parameters.
Further, in the step 1, starting from the VTI medium wave equation of the coupling point source term, a VTI medium spherical wave displacement integral equation expressed by a stiffness tensor is constructed in a frequency wave number domain by performing time Fourier transform and space Fourier transform on the wave equation.
Further, in the step 2, the moment method is used to consider the action of the longitudinal wave point source and the transverse wave point source on the spherical wave field so as to solve the spherical wave displacement field of the VTI medium excited by the longitudinal wave point source and the transverse wave point source respectively.
Further, in the step 3, the spherical wave displacement equation of the VTI medium is converted from a cartesian coordinate system to a polar coordinate system, the spherical wave displacement equation is expressed as an integral of horizontal slowness by using a residue theorem, and the simplification of the spherical wave displacement equation is further realized by means of a bessel function.
Further, in the step 4, the displacement of the spherical reflection wave at the receiving point is solved by using the boundary conditions of continuous displacement and continuous stress.
Further, in the step 5, the VTI medium spherical wave reflection coefficient is defined as a ratio of a spherical reflection wave to a displacement component of an incident wave in a polarization direction, and a VTI medium spherical wave reflection coefficient equation represented by a stiffness tensor is derived in the form of integration of a VTI medium plane wave reflection coefficient.
Further, in the step 6, the quantitative relation between the stiffness tensor and the model parameters is utilized, the vertical longitudinal wave speed, the vertical transverse wave speed, the density and the anisotropic parameters on two sides of the reflecting interface are substituted into the VTI medium spherical wave reflection coefficient equation represented by the stiffness tensor, and the frequency and depth dependent VTI medium spherical wave reflection coefficient analysis equation directly represented by the vertical longitudinal transverse wave speed, the density and the anisotropic parameters is deduced.
Compared with the prior art, the invention has the following beneficial effects:
(1) The method for directly solving the analysis expression of the spherical wave reflection coefficient of the VTI medium is provided for the first time;
(2) The method can accurately describe the spherical wave amplitude and phase frequency-dependent reflection characteristics of the VTI medium, quantify errors of geometric seismic approximation (plane wavefront approximation) under the conditions of different frequencies, different reflection depths and different incidence angles, and is beneficial to improving the pre-stack seismic elasticity and anisotropic inversion stability of the VTI medium.
Drawings
FIG. 1 is a flow chart of a method for resolving a spherical longitudinal wave reflection coefficient of a VTI medium according to an embodiment of the present invention;
FIG. 2 is a graph showing the amplitude of the spherical wave reflection coefficient of the VTI medium calculated in example 1;
FIG. 3 is a graph showing the calculated amplitude of spherical wave reflection coefficients of VTI media in example 2;
FIG. 4 is a graph showing the calculated amplitude of spherical wave reflection coefficients of VTI media in example 3;
FIG. 5 is a graph showing the calculated amplitude of spherical wave reflection coefficient of VTI medium in example 4.
Detailed Description
In order that the invention may be readily understood, a more particular description thereof will be rendered by reference to specific embodiments that are illustrated in the appended drawings. This invention may, however, be embodied in many different forms and should not be construed as limited to the embodiments set forth herein. Rather, these embodiments are provided so that this disclosure will be thorough and complete.
The invention provides a method for analyzing the reflection coefficient of a spherical longitudinal wave of a VTI medium, which is shown in a figure 1, and specifically comprises the following steps:
Starting from a VTI medium wave equation of a coupling point seismic source item, constructing a VTI medium spherical wave displacement integral equation expressed by a stiffness tensor in a frequency wave number domain by carrying out time Fourier transform and space Fourier transform on the wave equation.
The VTI medium wave equation for the coupled point source term is expressed as:
wherein, the liquid crystal display device comprises a liquid crystal display device,for a single point force at the origin of coordinates>Component of->Representing the strength of force, ++>Density (I)>Is a spatial dirac function, +.>Is a time dirac function and is used to describe the source,/->Is time, & lt>Is the 4 th order stiffness tensor,>and->Is the subscript of the 4 th order stiffness tensor and takes the values 1, 2 and 3 respectively; />And->Respectively is a displacement->One of the components (+)>),/>And->Position vector +.>One of the components (+)>)。
UsingSymbol (S)>Can be expressed as->,/>,/>. Above->(or->) Is a Croneck function, when->Time->Equal to 1. In VTI medium, < >>Comprises only->、/>、/>、/>、/>There are a total of 5 independent stiffness parameters.
Developing time and space Fourier transformation on the wave equation (1), and constructing a VTI medium spherical wave displacement integral equation expressed by a stiffness tensor in a frequency wave number domain, wherein the equation is expressed as follows:
wherein, the liquid crystal display device comprises a liquid crystal display device,is imaginary unit, ++>Is an exponential function, ++>Is angular frequency, +.>Is a three-dimensional integral variable>、/>、/>Is wave vector +.>Component of->Is a matrix->Component of->And->Slowness vectors respectively->(/>,/>,/>)(/>) One of the components (+)>),/>Is constant.
Step 2, solving displacement fields respectively excited by longitudinal and transverse wave point seismic sources by utilizing moment method
And taking the action of the longitudinal wave point source and the transverse wave point source on the spherical wave field into consideration by using a moment method to solve the spherical wave displacement field of the VTI medium excited by the longitudinal wave point source and the transverse wave point source respectively. The VTI medium spherical wave displacement equation for longitudinal wave point source excitation is expressed as:
wherein, the liquid crystal display device comprises a liquid crystal display device,is a matrix->Is>Andis->Root of (A)>Represents vertical slowness of longitudinal wave, P represents longitudinal wave,>vertical slowness representing transverse waves, SV representing transverse waves; />、/>、/>For matrix->Is marked +.>Representing the companion matrix;is->Representing the integral.
The displacement field of the spherical waves of the VTI medium excited by the transverse wave point source is expressed as follows:
wherein, the liquid crystal display device comprises a liquid crystal display device,,/>;/>and->Is polar coordinates; />Is level slowness, ->Is vertical slowness.
Step 3, simplifying the spherical wave displacement equation of the VTI medium
The spherical wave displacement equation excited by the VTI medium longitudinal and transverse wave point seismic source is converted into a polar coordinate system from a Cartesian coordinate system, the spherical longitudinal and transverse wave displacement equation is expressed as the integral of horizontal slowness by using a residue theorem, and the simplification of the spherical longitudinal and transverse wave displacement equation is further realized by means of a Bessel function.
(1) Spherical longitudinal wave displacement equation for longitudinal wave point source excitation,/>,/>,/>,/>Substituting the equation (3) to obtain a spherical longitudinal wave displacement equation under the polar coordinate system, which is expressed as:
wherein, the liquid crystal display device comprises a liquid crystal display device,and->Is the rotation angle under the polar coordinate system; />,;/>Is->Representing the integral.
Setting polar coordinate axisThe axis is downward, in->If the ratio is greater than 0, the downlink spherical longitudinal wave corresponds to the downlink spherical longitudinal wave. Will Bessel function、Andsubstituting into equation (5) simplified by the remainder theorem, at +.>The coordinate system can obtain the downlink spherical longitudinal wave displacement equation:
wherein, the liquid crystal display device comprises a liquid crystal display device,is a Bessel function of order 0, +.>Is a Bessel function of order 1; />Representing the integral of the horizontal slowness.
At the position ofIf the ratio is less than 0, the spherical upward longitudinal wave is corresponded. Also using the Bessel function and the remainder theorem, the spherical upward longitudinal wave displacement equation is expressed as:
(2) Spherical transverse wave displacement equation for transverse wave point focus excitation
Referring to the processing flow of the longitudinal wave displacement equation, the simplification of the VTI medium spherical transverse wave displacement equation (4)) of the transverse wave point source excitation is realized by means of a polar coordinate system, a residue theorem and a Bessel function.Corresponding to the spherical downlink transverse wave displacement equation, expressed as:
Step 4, solving the displacement of the spherical reflection wave at the receiving point under specific frequency and depth
By means of continuous displacement, continuous stress boundariesAnd solving the displacement of the spherical reflection wave at the receiving point under the condition. In combination with the spherical longitudinal and transverse wave displacement equation, the point focus is located at the coordinatesUnder the condition of (1), the spherical incident longitudinal wave displacement equation of the medium positioned on the upper layer is as follows:
the spherical reflection longitudinal wave displacement equation of the upper medium is as follows:
the spherical reflection transverse wave displacement equation of the upper medium is as follows:
the spherical transmission longitudinal wave displacement equation of the medium positioned at the lower layer is as follows:
the spherical transmission transverse wave displacement equation of the medium positioned at the lower layer is as follows:
wherein, the liquid crystal display device comprises a liquid crystal display device,is a coefficient to be determined; />,/>,/>,Superscripts (1) and (2) represent an upper medium and a lower medium, respectively.
Spherical wave displacement vector of upper mediumrAndzthe components are respectively as follows:
spherical wave displacement vector of lower mediumrAndzthe components are respectively as follows:
by using the displacement continuous and stress continuous boundary condition, the method can obtain,/>,/>,/>,/>Is the longitudinal wave reflection coefficient of the plane of the VTI medium, < + >>Is the transverse wave reflection coefficient of the plane of the VTI medium, < >>And->Is VTI medium plane longitudinal and transverse wave conversionCoefficients.
Will beSubstitution of displacement of spherical reflected wave at receiving point at specific frequency and depthrComponents andzthe components are respectively obtained:
and
wherein, the liquid crystal display device comprises a liquid crystal display device,for longitudinal wave velocity of upper medium, +.>For transverse wave velocity of upper medium, +.>Is the incidence angle of the longitudinal wave.
Will beSubstitution of displacement of spherical incident wave at receiving point at specific frequency and depthrComponents andzthe components are respectively obtained:
and
and 5, defining the spherical wave reflection coefficient of the VTI medium as the ratio of the displacement components of the spherical reflection wave and the incident wave in the polarization direction, and deducing a spherical wave reflection coefficient equation of the VTI medium represented by the stiffness tensor, wherein the equation is expressed as follows:
in the form of integration of the plane wave reflection coefficient of the VTI medium, whereIs the polarization angle of the upper medium longitudinal wave.
Step 6, deducing a frequency and depth dependent VTI medium spherical wave reflection coefficient analysis equation directly characterized by vertical longitudinal and transverse wave speed, density and anisotropic parameters
Will vertical longitudinal wave velocityVertical transverse wave speed +.>,/>,Substituting the stiffness tensor-characterized VTI medium spherical wave reflection coefficient equation (23) to derive a frequency and depth-dependent VTI medium spherical wave reflection coefficient analysis equation directly characterized by vertical longitudinal and transverse wave speed, density and anisotropic parameters:
wherein, the liquid crystal display device comprises a liquid crystal display device,representing vertical longitudinal wave velocity, +.>Representing vertical transverse wave velocity, +.>Representing density; />And->Representing an anisotropic parameter; />Representing the nonlinear relationship between the parameter and the reflection coefficient.
Examples 1-4 are the calculation of spherical wave reflection coefficients of VTI media using formation model parameters using the methods provided by the present invention. Upper layer formation model parameters: vertical longitudinal wave velocity 2000 (m/s), vertical transverse wave velocity 1200 (m/s), density 2150 (kg/m) 3 ) The method comprises the steps of carrying out a first treatment on the surface of the Lower layer formation model parameters: vertical longitudinal wave velocity 2400 (m/s), vertical transverse wave velocity 1400 (m/s), density 2350 (kg/m) 3 )。
The upper layer formation model anisotropy parameters in example 1 were:、/>the method comprises the steps of carrying out a first treatment on the surface of the The anisotropic parameters of the lower stratum model are as follows: />、/>. The frequencies are set as: 5 Hz, 30 Hz and 90 Hz; the interface depth was set to 500 m.
FIG. 2 is a graph showing the calculated amplitude of spherical wave reflection coefficients of VTI media at frequencies of 30 Hz and reflection depths of 250 m, 1000 m and 4000 m, respectively, for example 1, wherein the amplitude is a dimensionless number. It can be seen that the spherical wave reflection coefficient of the VTI medium has a depth dependence, and that as the depth increases, the plane wave approximation error becomes smaller.
Upper layer formation model anisotropy parameters in example 2:、/>the method comprises the steps of carrying out a first treatment on the surface of the Lower layer formation model anisotropy parameters: />、/>. The frequency was set to 30 Hz; the interface depths are set as follows: 250 m, 1000 m and 4000 m.
FIG. 3 is a graph showing the calculated amplitude of the spherical wave reflection coefficient of the VTI medium for example 2 at reflection depths of 500 m and frequencies of 5 Hz, 30 Hz and 90 Hz, respectively. It can be seen that the spherical wave reflection coefficient of the VTI medium has a frequency dependence, and the plane wave approximation error becomes smaller as the frequency increases. It is also disclosed that elasticity and anisotropy parameter predictions can be implemented from seismic data of different frequency components.
Upper layer formation model anisotropy parameters in example 3:、/>the method comprises the steps of carrying out a first treatment on the surface of the Lower layer formation model anisotropy parameters: />、/>0, 0.1, 0.2 respectively; the frequency is set as follows: 30 Hz; the interface depth was set to 1500 m.
FIG. 4 is a graph of the calculated anisotropy of example 3 at a frequency of 30 Hz and an interface depth of 1500 mThe amplitude of the spherical wave reflection coefficient of the VTI medium is shown. It can be seen that the spherical wave reflection coefficient of the VTI medium versus the anisotropy parameter +.>Sensitivity increase of (2)Strong. Critical angle is along->The spherical wave reflection coefficient of the VTI medium is horizontally shifted while being increased.
Upper layer formation model anisotropy parameters in example 4:、/>the method comprises the steps of carrying out a first treatment on the surface of the Lower layer formation model anisotropy parameters: />、/>0, 0.1, 0.2 respectively; the frequency is set as follows: 30 Hz; the interface depth was set to 1500 m.
FIG. 5 shows calculated example 4 at a frequency of 30 Hz and an interface depth of 1500 m, different anisotropy parametersThe amplitude of the spherical wave reflection coefficient of the VTI medium is shown. It can be seen that the spherical wave reflection coefficient of the VTI medium at near-critical angle (around 43 DEG) versus the anisotropy parameter +.>And->Is more sensitive.
The invention provides a method for analyzing the spherical longitudinal wave reflection coefficient of the VTI medium by considering the excitation condition of a point focus and the spherical wave front effect in the VTI medium, and deduces a spherical longitudinal wave reflection coefficient equation of the VTI medium. As shown in fig. 2 and 3 (black solid lines in fig. 2 and 3), compared with the prior art, the method considers the frequency and depth dependence of the seismic reflection wave, can accurately describe the spherical wave amplitude and phase frequency-dependent reflection characteristics of the VTI medium, can quantify errors of geometrical seismic approximation under different frequencies, different reflection depths and different incidence angles, and further is beneficial to improving the inversion prediction precision of the underground stratum parameters by utilizing the seismic data of different frequency components.
Claims (7)
1. A method for analyzing the reflection coefficient of a spherical longitudinal wave of a VTI medium is characterized by comprising the following steps:
step 1, solving a VTI medium spherical wave displacement integral equation;
step 2, solving displacement fields respectively excited by longitudinal and transverse wave point seismic sources by using a moment method;
step 3, simplifying a spherical wave displacement equation of the VTI medium;
step 4, solving the displacement of the spherical reflection wave at the receiving point;
step 5, defining the spherical wave reflection coefficient of the VTI medium as the ratio of the displacement components of the spherical reflection wave and the incident wave in the polarization direction;
and 6, deducing a frequency and depth dependent VTI medium spherical wave reflection coefficient analysis equation directly characterized by the vertical longitudinal wave speed, the density and the anisotropic parameters.
2. The method for resolving a spherical longitudinal wave reflection coefficient of a VTI medium according to claim 1, wherein in the step 1, starting from a VTI medium wave equation of a coupling point source term, a VTI medium spherical wave displacement integral equation represented by a stiffness tensor is constructed in a frequency wavenumber domain by performing a time fourier transform and a space fourier transform on the wave equation.
3. The method for resolving a spherical longitudinal wave reflection coefficient of a VTI medium according to claim 1, wherein in the step 2, the moment method is used to consider the effects of a longitudinal wave point source and a transverse wave point source on a spherical wave field so as to solve the spherical wave displacement fields of the VTI medium excited by the longitudinal wave point source and the transverse wave point source respectively.
4. The method according to claim 1, wherein in the step 3, the spherical wave displacement equation of the VTI medium is converted from a cartesian coordinate system to a polar coordinate system, the spherical wave displacement equation is expressed as an integral of horizontal slowness by using a remainder theorem, and the spherical wave displacement equation is further simplified by means of a bessel function.
5. The method for resolving a spherical longitudinal wave reflection coefficient of a VTI medium according to claim 1, wherein in the step 4, the displacement of the spherical reflected wave at the receiving point is resolved using a continuous displacement and continuous stress boundary condition.
6. The method according to claim 1, wherein in the step 5, the spherical wave reflection coefficient of the VTI medium is defined as a ratio of a spherical reflection wave to a displacement component of an incident wave in a polarization direction, and the spherical wave reflection coefficient equation of the VTI medium represented by the stiffness tensor is derived.
7. The method according to claim 6, wherein in the step 6, the quantitative relation between the stiffness tensor and the model parameter is utilized to substitute the vertical longitudinal wave speed, the vertical transverse wave speed, the density and the anisotropic parameter on both sides of the reflecting interface into the VTI medium spherical wave reflection coefficient equation characterized by the stiffness tensor, so as to derive the frequency-depth-dependent VTI medium spherical wave reflection coefficient analysis equation directly characterized by the vertical longitudinal and transverse wave speed, the density and the anisotropic parameter.
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN202310408819.0A CN116148925B (en) | 2023-04-18 | 2023-04-18 | VTI medium spherical longitudinal wave reflection coefficient analysis method |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN202310408819.0A CN116148925B (en) | 2023-04-18 | 2023-04-18 | VTI medium spherical longitudinal wave reflection coefficient analysis method |
Publications (2)
Publication Number | Publication Date |
---|---|
CN116148925A true CN116148925A (en) | 2023-05-23 |
CN116148925B CN116148925B (en) | 2023-06-30 |
Family
ID=86358488
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
CN202310408819.0A Active CN116148925B (en) | 2023-04-18 | 2023-04-18 | VTI medium spherical longitudinal wave reflection coefficient analysis method |
Country Status (1)
Country | Link |
---|---|
CN (1) | CN116148925B (en) |
Cited By (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN117471531A (en) * | 2023-11-01 | 2024-01-30 | 中国矿业大学 | VTI viscoelastic wave equation numerical simulation method based on power law frequency-varying Q effect |
CN117665917A (en) * | 2024-02-01 | 2024-03-08 | 山东省科学院海洋仪器仪表研究所 | Analysis method for spherical wave reflection coefficient of submarine fluid-VTI solid interface |
Citations (12)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US20050090986A1 (en) * | 2003-10-27 | 2005-04-28 | Fugro-Jason | Method and device for the generation and application of anisotropic elastic parameters |
CN102466818A (en) * | 2010-11-11 | 2012-05-23 | 中国石油集团东方地球物理勘探有限责任公司 | Method for imaging anisotropic medium by utilizing cross-well seismic data |
CN107092029A (en) * | 2017-04-26 | 2017-08-25 | 中国石油大学(北京) | A kind of seismic inversion method and device |
US20170276814A1 (en) * | 2016-03-23 | 2017-09-28 | Repsol Exploracion, S.A. | Method of operating a data-processing system for the simulation of the acoustic wave propagation in the transversely isotropic media comprising an hydrocarbon reservoir |
CN110542928A (en) * | 2018-05-28 | 2019-12-06 | 中国石油化工股份有限公司 | Seismic response simulation method based on VTI anisotropic propagation matrix |
CN110687601A (en) * | 2019-11-01 | 2020-01-14 | 中南大学 | Inversion method for fluid factor and fracture parameter of orthotropic medium |
CN110954959A (en) * | 2018-09-27 | 2020-04-03 | 中国石油化工股份有限公司 | Method for analyzing spherical transmitted wave characteristics and computer-readable storage medium |
CN111929727A (en) * | 2020-08-11 | 2020-11-13 | 中国石油大学(华东) | Method for calculating Fresnel integral reflection coefficient of spherical wave |
CN112505751A (en) * | 2019-09-16 | 2021-03-16 | 中国石油化工股份有限公司 | Spherical wave PS reflection coefficient calculation method and system |
CN112649845A (en) * | 2019-10-10 | 2021-04-13 | 中国石油化工股份有限公司 | Spherical wave reflection coefficient calculation method and system |
CN114924316A (en) * | 2022-06-24 | 2022-08-19 | 中国石油大学(北京) | VTI medium transverse wave anisotropy parameter estimation method based on seismic transverse wave inversion |
CN115616668A (en) * | 2022-11-15 | 2023-01-17 | 青岛欧谱赛斯海洋科技有限公司 | Viscoelastic medium spherical surface longitudinal wave reflection coefficient calculation method |
-
2023
- 2023-04-18 CN CN202310408819.0A patent/CN116148925B/en active Active
Patent Citations (12)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US20050090986A1 (en) * | 2003-10-27 | 2005-04-28 | Fugro-Jason | Method and device for the generation and application of anisotropic elastic parameters |
CN102466818A (en) * | 2010-11-11 | 2012-05-23 | 中国石油集团东方地球物理勘探有限责任公司 | Method for imaging anisotropic medium by utilizing cross-well seismic data |
US20170276814A1 (en) * | 2016-03-23 | 2017-09-28 | Repsol Exploracion, S.A. | Method of operating a data-processing system for the simulation of the acoustic wave propagation in the transversely isotropic media comprising an hydrocarbon reservoir |
CN107092029A (en) * | 2017-04-26 | 2017-08-25 | 中国石油大学(北京) | A kind of seismic inversion method and device |
CN110542928A (en) * | 2018-05-28 | 2019-12-06 | 中国石油化工股份有限公司 | Seismic response simulation method based on VTI anisotropic propagation matrix |
CN110954959A (en) * | 2018-09-27 | 2020-04-03 | 中国石油化工股份有限公司 | Method for analyzing spherical transmitted wave characteristics and computer-readable storage medium |
CN112505751A (en) * | 2019-09-16 | 2021-03-16 | 中国石油化工股份有限公司 | Spherical wave PS reflection coefficient calculation method and system |
CN112649845A (en) * | 2019-10-10 | 2021-04-13 | 中国石油化工股份有限公司 | Spherical wave reflection coefficient calculation method and system |
CN110687601A (en) * | 2019-11-01 | 2020-01-14 | 中南大学 | Inversion method for fluid factor and fracture parameter of orthotropic medium |
CN111929727A (en) * | 2020-08-11 | 2020-11-13 | 中国石油大学(华东) | Method for calculating Fresnel integral reflection coefficient of spherical wave |
CN114924316A (en) * | 2022-06-24 | 2022-08-19 | 中国石油大学(北京) | VTI medium transverse wave anisotropy parameter estimation method based on seismic transverse wave inversion |
CN115616668A (en) * | 2022-11-15 | 2023-01-17 | 青岛欧谱赛斯海洋科技有限公司 | Viscoelastic medium spherical surface longitudinal wave reflection coefficient calculation method |
Non-Patent Citations (5)
Title |
---|
ARNIM B. HAASE AND CHARLES P. URSENBACH: "Spherical-wave AVO-modelling in elastic VTI-media", CREWES RESEARCH REPORT * |
GUANGSEN CHENG等: "seismic inversion using complex spherical-wave reflection coefficient at different offsets and frequencies", GEOPHYSICS * |
张雪莹等: "正交各向异性介质反射系数精确解", 石油地球物理勘探 * |
李京南;王尚旭;董春晖;袁三一;王静波;: "球面波PP反射系数的频变特征研究", 地球物理学报, no. 10 * |
马先先: "VTI 介质中弹性波传播特征分析及研究", 中国优秀博硕士学位论文全文数据库(硕士) * |
Cited By (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN117471531A (en) * | 2023-11-01 | 2024-01-30 | 中国矿业大学 | VTI viscoelastic wave equation numerical simulation method based on power law frequency-varying Q effect |
CN117471531B (en) * | 2023-11-01 | 2024-04-19 | 中国矿业大学 | VTI viscoelastic wave equation numerical simulation method based on power law frequency-varying Q effect |
CN117665917A (en) * | 2024-02-01 | 2024-03-08 | 山东省科学院海洋仪器仪表研究所 | Analysis method for spherical wave reflection coefficient of submarine fluid-VTI solid interface |
CN117665917B (en) * | 2024-02-01 | 2024-04-30 | 山东省科学院海洋仪器仪表研究所 | Analysis method for spherical wave reflection coefficient of submarine fluid-VTI solid interface |
Also Published As
Publication number | Publication date |
---|---|
CN116148925B (en) | 2023-06-30 |
Similar Documents
Publication | Publication Date | Title |
---|---|---|
CN116148925B (en) | VTI medium spherical longitudinal wave reflection coefficient analysis method | |
EP2685288B1 (en) | Methods and Systems for Reconstruction of Low Frequency Particle Velocity Wavefields and Deghosting of Seismic Streamer Data | |
CN111505718B (en) | High-resolution underground structure amplitude-preserving imaging method | |
Marsan et al. | Sea-ice thickness measurement based on the dispersion of ice swell | |
CN111239819B (en) | Direct envelope inversion method with polarity based on seismic channel attribute analysis | |
CN109946742B (en) | Pure qP wave seismic data simulation method in TTI medium | |
CN112577592B (en) | Finite space plane near-field acoustic holography measurement method based on space Fourier transform | |
Angus | The one-way wave equation: a full-waveform tool for modeling seismic body wave phenomena | |
CN110596754B (en) | Three-dimensional TTI medium qP wave and qSV wave field simulation method | |
Tu et al. | Applying the Chebyshev–Tau spectral method to solve the parabolic equation model of wide-angle rational approximation in ocean acoustics | |
CN107300694A (en) | A kind of unknown wall method for parameter estimation based on Electromgnetically-transparent coefficient | |
Sun et al. | Multiple attenuation using λ-f domain high-order and high-resolution Radon transform based on SL0 norm | |
Wang et al. | Elastic wave‐mode separation in 2D transversely isotropic media using optical flow | |
CN117665917B (en) | Analysis method for spherical wave reflection coefficient of submarine fluid-VTI solid interface | |
Douma et al. | Locating a microseismic event using deconvolution | |
Sidler et al. | Wave reflection at an anelastic transversely isotropic ocean bottom | |
Alkhalifah et al. | Angle gathers in wave‐equation imaging for transversely isotropic media | |
CN113866823A (en) | Forward imaging method in visco-acoustic anisotropic medium | |
Chen et al. | Wavefield interpolation in 3D large‐step Fourier wavefield extrapolation | |
Yang et al. | A United Bandpass-Angular Weighting template for Stolt's fk in Coherent Plane-Wave Compounding | |
Schmerr Jr et al. | Ultrasonic flaw sizing inverse problems | |
Song et al. | Passive ranging technique using waveguide invariant in shallow water with thermocline | |
Yang et al. | Determination of the phase-velocity directions in anisotropic media using a direction vector | |
CN117434587A (en) | Viscoelastic anisotropic medium ray tracing disturbance method and device | |
CN114779335A (en) | Elastic wave direct envelope inversion method based on anisotropic total variation constraint |
Legal Events
Date | Code | Title | Description |
---|---|---|---|
PB01 | Publication | ||
PB01 | Publication | ||
SE01 | Entry into force of request for substantive examination | ||
SE01 | Entry into force of request for substantive examination | ||
GR01 | Patent grant | ||
GR01 | Patent grant |