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Zoeppritz’s equations for incident SV- and SH-waves

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Proceedings Papers

Paper presented at the 2006 SEG Annual Meeting, October 1–6, 2006
Paper Number: SEG-2006-1213
... on the incident angle axis of the SV-SV and SH-SH shear wave reflection response, as found by analysis of the full Zoeppritz equations. The zero crossings for SV-SV and SH-SH reflections are controlled primarily by the contrast in shear velocity and density. We numerically modeled the Zoeppritz equations...
Proceedings Papers

Paper presented at the 2005 SEG Annual Meeting, November 6–11, 2005
Paper Number: SEG-2005-0218
... contrast, Poisson s ratios and gas saturation, using the complete Zoeppritz s equations. For SH-SH reflectivity, we found that the effect of density contrast is stronger in the 30 to 50 degree range of incidence angles for a fluid-fluid interface, and for nearer- offsets for a shale-sand interface. P-SV...
Proceedings Papers

Paper presented at the 2011 SEG Annual Meeting, September 18–23, 2011
Paper Number: SEG-2011-1333
... and receiver locations on the surface. For non- normal angles of incidence, the reflectivity of the individual SV & SH components can be quite different, leading to the change in the reflected polarization of the reflected wave (Figure 2). This distortion occurs even in the purely isotropic media...
Proceedings Papers

Paper presented at the 1990 SEG Annual Meeting, September 23–27, 1990
Paper Number: SEG-1990-0376
... E. J Nortninton, Carleton University, Canada SUMMARY The Zoeppritz equations, which describe the effects of the partitioning of energy as a seismic wave passes through the Earth, have been applied to the problem of P-wave (compressional wave), SV-wave (vertically polarized shear wave), and SH-wave...
Proceedings Papers

Paper presented at the 2013 SEG Annual Meeting, September 22–27, 2013
Paper Number: SEG-2013-0080
... solution. The dimensionless expressions in the brackets of the above equations define the far-field radiation pattern for the SH- and SV-waves, as below. 0 2 0 ( ; , ) ( , ) sin cos ( ; , ) ( , ) sin sin SH SV i D k F k = = (3) where the wave amplitude coefficients D and F...
Proceedings Papers

Paper presented at the 2012 SEG Annual Meeting, November 4–9, 2012
Paper Number: SEG-2012-0816
... for modest angles of incidence (about 20° for SV and 50° for SH waves), we can fit the form of anticipated reflection curves quite well to the Zoeppritz curve from the observed reflectivity value at zero offset. A and B are estimated by setting reflectivity to zero at the estimated zero crossing...
Proceedings Papers

Paper presented at the 1992 SEG Annual Meeting, October 25–29, 1992
Paper Number: SEG-1992-1282
... are the even function of raypath p for non-converted waves. INTRODUCTION The theory of reflection and transmission for plane elastic wave is a classical problem in seismology, it was basically established in the early of this century. The amplitude coefficients resulting from P-, SV- and SH- waves incident...
Proceedings Papers

Paper presented at the 2007 SEG Annual Meeting, September 23–28, 2007
Paper Number: SEG-2007-0999
... for Research in Elastic Wave Exploaration Seismology Report, 1 44. Zhusheng, Z., 1993, AVO analysis of P-SV and SH waves: Oil Geophysical Prospecting, 28, 430 438. Zoeppritz, K., 1919, Erdbebenwellen VIII B, On the reflection and penetration of seismic waves through unstable layers: Goettinger Nachrichten, 1...
Proceedings Papers

Paper presented at the 1988 SEG Annual Meeting, October 30–November 3, 1988
Paper Number: SEG-1988-1009
... amplitudes. VERTICAL sv SH FIG. 1. West Texas VSP after correction for horizontal tool rotation. GEOPHONE DEPTH (feet) REFERENCES ,311 10000 12000 10000 SO00 Behle, A., and Dohr, G., 1985, Converted waves in exploration seismics: Seismic Shear Waves, Geophysical Press, London, 178-223. Ephron, M., 1987...
Proceedings Papers

Paper presented at the 2003 SEG Annual Meeting, October 26–31, 2003
Paper Number: SEG-2003-0165
... approximation, but approximations were also derived for all combinations of down-going and up-going P, SV and SH waves. This paper examines what can be done using the P-SV approximation, which is appropriate for modern 3C methods that produce P-SV converted-waves . This equation takes the following form, using...
Proceedings Papers

Paper presented at the 2001 SEG Annual Meeting, September 9–14, 2001
Paper Number: SEG-2001-0118
... = 2.45 g/cm3 Horizontal velocity (km/s) 0.0 1.0 2.0 3.0 V er ti ca l v el oc it y (k m /s ) [GPa] C11=18.8 C33=9.59 C44=2.25 C66=4.37 C13=4.70 = 2.35 g/cm3 Figure 2b. Group and phase velocity surfaces (P, SH and SV ) for strongly anisotropic shales. Symmetr Azimuth Incidence angle Vertical i Parallel...
Proceedings Papers

Paper presented at the 2001 SEG Annual Meeting, September 9–14, 2001
Paper Number: SEG-2001-0165
... be specified, we choose the SV and SH directions as our reference for shear wave polarizations at the background medium. With these choices linear approximations for qP reflectivity are presented below. In these expressions we use the reduced notation for elastic tensors. The elastic tensors on the top...
Proceedings Papers

Paper presented at the 2018 SEG International Exposition and Annual Meeting, October 14–19, 2018
Paper Number: SEG-2018-2993908
... densities of VS and by using 30°and 40°angle gathers (the S-wave incident an- gle). SH-SH has similar results for VS as SV-SV (Figure 6c and 6e). The larger angle set makes posterior probability density of more convex and reduces the influence of sec- ondary maxima (Figure 6b). In Figure 6d, it can...
Proceedings Papers

Paper presented at the 1992 SEG Annual Meeting, October 25–29, 1992
Paper Number: SEG-1992-0796
...), and by using approximated formulas (Ursin and Tjaand, 1991, De Nico- lao, Drufuca and Rocca, 1991). The reflection matrix from a plane interface separating two elas- tic media consists of the reflection coefficients for P-waves, SV- waves and converted waves. (SH-waves are not considered). These reflection...
Proceedings Papers

Paper presented at the 2005 SEG Annual Meeting, November 6–11, 2005
Paper Number: SEG-2005-2001
... @ USVUSH UP 1 A = HT 0 @ UxUy Uz 1 A , (1) with H denoting the rotation matrix. The amplitude U t) stands for the displacement field recorded at a geo- phone location and subscript P refers to an incoming P-wave that is polarized perpendicular to the wavefront and SV and SH refer to the two principal S...
Proceedings Papers

Paper presented at the 1995 SEG Annual Meeting, October 8–13, 1995
Paper Number: SEG-1995-0278
... that the dis- cussion above extends naturally to SH-wave propagation in the of HTI media because SH- and P-SV wave propagation are completely decoupled. The following is true for Thomsen s parameter of the equivalent VTI model: (5) HTI symmetry plane reflections Solutions to propagation properties of P- and W...
Proceedings Papers

Paper presented at the 1990 SEG Annual Meeting, September 23–27, 1990
Paper Number: SEG-1990-1459
... surface in the P-wave velocity and impedance plane. Scale factor equals 1000. F-VALUE F-VALUE P-P. D-ID DEC CAs AND/sH*u P-P Is-10 DU; CASSAND/SHALE. 0.m I 1461 F-VALUE P-S o-48 DEC. C*S SANO/SHUE Fw 5. Schematic illustration of the iteration process to estimate the four param- F-VALUE P-SV 20-48 DEG. GAS...
Proceedings Papers

Paper presented at the 1996 SEG Annual Meeting, November 10–15, 1996
Paper Number: SEG-1996-1805
... anisotropy being equivalent to the fractional difference between vertical and horizontal SH-wave velocities. The Parameter relates to the conversion of energy between P-waves and SV-waves which appears through the cross term in equation (le). The parameter 6 can also be defined as (Thomsen,1986) [ (1f) where...
Proceedings Papers

Paper presented at the Offshore Technology Conference, May 6–9, 1985
Paper Number: OTC-4933-MS
... of an incident S wave separates auto- matically into the consideration of two possible polarizations. If, as assumed in most seismological work, the interface is horizontal, these polarizations are in vertical and horizontal planes and are respec- tively known as SV and SH. For incident vertically polarized E...
Proceedings Papers

Paper presented at the 1984 SEG Annual Meeting, December 2–6, 1984
Paper Number: SEG-1984-0665
... and horizontal planes and are respec- tively known as SV and SH. Top Reflector Gas Sand .3Q- . . Trrnrmlulon Gcomn Bottom s Z 1.6 9 3 668 Seismic 17 For incident vertically polarized S-waves (SV): (B+L))sinh+Ccosu-ECOSP-_sinf =O. (B-D)cosh+Csinrr+Esinr-Fcosf =O. (B f D) cos 2h - C (V/u) sin 20 + EK (ZxZIVY) sin...

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