Impulsive spherical-wave reflection against a planar absorptive and dispersive Dirichlet-to-Neumann boundary — An extension of the modified Cagniard method

2006 ◽  
Author(s):  
Adrianus T. de Hoop
Keyword(s):  
Wave Reflection ◽  
Spherical Wave ◽  
Neumann Boundary ◽  
Impulsive Spherical Wave

Fast computation of seabed spherical-wave reflection coefficients in geoacoustic inversion

2015 ◽  
Vol 138 (4) ◽  
pp. 2106-2117 ◽  
Author(s):  
Jorge E. Quijano ◽  
Stan E. Dosso ◽  
Jan Dettmer ◽  
Charles W. Holland
Keyword(s):  
Wave Reflection ◽  
Spherical Wave ◽  
Reflection Coefficients ◽  
Fast Computation ◽  
Geoacoustic Inversion

Frequency-dependent spherical-wave reflection coefficient inversion in acoustic media: Theory to practice

Geophysics ◽  
2020 ◽  
Vol 85 (4) ◽  
pp. R425-R435
Author(s):  
Binpeng Yan ◽  
Shangxu Wang ◽  
Yongzhen Ji ◽  
Xingguo Huang ◽  
Nuno V. da Silva
Keyword(s):  
Reflection Coefficient ◽  
Wave Reflection ◽  
Incident Angle ◽  
Spherical Wave ◽  
Frequency Dependent ◽  
Amplitude Variation With Offset ◽  
Reflection Data ◽  
Alternative Approach ◽  
Acoustic Media ◽  
The Time Domain

As an approximation of the spherical-wave reflection coefficient (SRC), the plane-wave reflection coefficient does not fully describe the reflection phenomenon of a seismic wave generated by a point source. The applications of SRC to improve analyses of seismic data have also been studied. However, most of the studies focus on the time-domain SRC and its benefit to using the long-offset information instead of the dependency of SRC on frequency. Consequently, we have investigated and accounted for the frequency-dependent spherical-wave reflection coefficient (FSRC) and analyzed the feasibility of this type of inversion. Our inversion strategy requires a single incident angle using reflection data for inverting the density and velocity ratios, which is distinctly different from conventional inversion methods using amplitude variation with offset. Hence, this investigation provides an alternative approach for estimating media properties in some contexts, especially when the range of aperture of the reflection angles is limited. We apply the FSRC theory to the inversion of noisy synthetic and field data using a heuristic algorithm. The multirealization results of the inversion strategy are consistent with the feasibility analysis and demonstrate the potential of the outlined method for practical application.

scholarly journals Reverberation time and audibility in phased geometrical acoustics using plane or spherical wave reflection coefficients

2019 ◽  
Vol 145 (3) ◽  
pp. 1888-1888
Author(s):  
Matthew Boucher ◽  
Monika Rychtarikova ◽  
Lukas Zelem ◽  
Bert Pluymers ◽  
Wim Desmet
Keyword(s):  
Wave Reflection ◽  
Spherical Wave ◽  
Reflection Coefficients ◽  
Reverberation Time ◽  
Geometrical Acoustics

scholarly journals New formulas for spherical wave reflection from an impedance surface

1992 ◽  
Vol 92 (4) ◽  
pp. 2432-2432
Author(s):  
Y. L. Li ◽  
Michael J. White ◽  
M. H. Hwang
Keyword(s):  
Wave Reflection ◽  
Spherical Wave ◽  
Impédance Surface ◽  
Impedance Surface

Frequency-dependent spherical-wave nonlinear AVO inversion in elastic media

2020 ◽  
Vol 223 (2) ◽  
pp. 765-776
Author(s):  
Guangsen Cheng ◽  
Xingyao Yin ◽  
Zhaoyun Zong
Keyword(s):  
Reflection Coefficient ◽  
Wave Reflection ◽  
Fresnel Zone ◽  
Spherical Wave ◽  
Inversion Method ◽  
Elastic Media ◽  
Amplitude Variation With Offset ◽  
Avo Inversion ◽  
Well Location ◽  
The Stability

SUMMARY The plane-wave reflection coefficient (PRC) plays a remarkable role in conventional amplitude variation with offset (AVO) analysis and inversion. Compared with the widely exploited PRC that breaks down at the near- and supercritical incidence angles, the spherical-wave reflection coefficient (SRC) can overcome the influence of wide-angle reflection and give an accurate description of the actual seismic wave reflection phenomenon based on spherical-wave fronts. However, SRC is not widely used in AVO inversion due to its nonlinearity and computational complexity. In our study, the characteristics of frequency–depth-dependent monochromatic SRC are discussed and a novel three-parameter SRC is derived. Compared with the conventional six-parameter SRC, the novel three-parameter SRC improves the stability of spherical-wave AVO inversion. In addition, the concept of SRC within the Fresnel zone is proposed, and the accuracy of SRC within the Fresnel zone in the deep subsurface is tested. Finally, a nonlinear spherical-wave AVO inversion method for elastic media is proposed, which can make full use of all frequency components of wavelet. The robustness of the proposed method is verified by the application on synthetic seismogram with white Gaussian noise. The feasibility and practicability of this method are verified by comparing the spherical-wave AVO inversion results with the filtered well logs at the known well location.

Characterizing the borehole response for single-well shear-wave reflection imaging

Geophysics ◽  
2020 ◽  
pp. 1-42
Author(s):  
Yang-Hu Li ◽  
Xiao-Ming Tang ◽  
Huan-Ran Li ◽  
Sheng-Qing Lee
Keyword(s):  
Shear Wave ◽  
Wave Reflection ◽  
Spherical Wave ◽  
Dipole Source ◽  
Virtual Source ◽  
Shear Wave Imaging ◽  
Receiver System ◽  
Wave Imaging ◽  
Single Well ◽  
Reflection Imaging

Single-well shear-wave imaging using a dipole source-receiver system is an important application for detecting geological structures away from the borehole. This development allows for determining the azimuth information of the structures. Existing analyses, however, focus on the data received at the borehole axis and use the elastic reciprocity theorem to model the borehole radiation and recording. We extend the existing analyses to model the radiation, reflection, and the recording response of the borehole for azimuthally spaced receivers off the borehole axis. By treating the mirror image of the borehole source with respect to the reflector plane as a virtual source, the borehole reception problem is shown to be equivalent to the response of the borehole to the spherical wave incidence from the virtual source, which can be solved using the cylindrical-wave expansion method. An asymptotic solution using the steepest decent method is obtained if the virtual source is far from the borehole. The analytical solution allows us to analyze the borehole response for azimuthally spaced off-axis receivers. The analysis results agree well with those from 3D finite-difference simulations. With this analysis, one can further model the multi-component shear-wave reflection data from the cross-dipole acoustic tool and study the azimuthal variation characteristics of the data. The results show that, while the data characteristics are dominated by those of a dipole, non-dipole responses due to the off-axis reception can be observed, the magnitude of the responses depending on the off-axis distance and frequency and on the formation elasticity. The non-dipole response characteristics have the potential to resolve the 180°-ambiguity problem in the azimuth determination for the dipole shear-wave imaging. The findings, therefore, provide new information to the shear-wave reflection imaging analysis and development.

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