Reflection of P-waves in a prestressed dissipative layered crust

1995 ◽  
Vol 105 (3) ◽  
pp. 341-351
Author(s):  
Sujit Bose ◽  
Dipasree Dutta
Keyword(s):  
P Waves ◽  
1970 ◽  
Vol 60 (5) ◽  
pp. 1457-1477
Author(s):  
Shyamal K. Guha ◽  
William Stauder

Abstract Using the theoretical development of Part I, properties of transfer functions (radiation patterns) for P waves are investigated for different point sources as functions of depth of burial and orientation of the source in a layered crust. The calculated transfer functions, in general, exhibit two or more minima. These minima shift to longer periods as the source depth increases. The position and relative development of the minima are also functions of depth, of azimuth about the source, and of orientation of the source. In order to investigate whether the predicted effect of focal depth is identifiable in the amplitude spectra of recorded P waves, seismograms of four earthquakes are analyzed. It is found that some of the minima of the observed spectra are due to focal depth, and that for foci in the middle or lower crust, it is possible to determine the depth of focus of an earthquake from the positions of the minima in the spectra.


2005 ◽  
Vol 19 (30) ◽  
pp. 1793-1802 ◽  
Author(s):  
M. MODARRES

We investigate the possible angular momentum, l, dependence of the ground state energy of normal liquid 3 He . The method of lowest order constrained variational (LOCV) which includes the three-body cluster energy and normalization constraint (LOCVE) is used with angular momentum dependent two-body correlation functions. A functional minimization is performed with respect to each l-channel correlation function. It is shown that this dependence increases the binding energy of liquid 3 He by 8% with respect to calculations without angular momentum dependent correlation functions. The l=0 state has completely different behavior with respect to other l-channels. It is also found that the main contribution from potential energy comes from the l=1 state (p-waves) and the effect of l≥11 is less than about 0.1%. The effective interactions and two-body correlations in different channels are being discussed. Finally we conclude that this l-dependence can be verified experimentally by looking into the magnetization properties of liquid helium 3 and interatomic potentials.


2005 ◽  
Vol 18 (5) ◽  
pp. 510-520 ◽  
Author(s):  
Xi-qiang Liu ◽  
Qing-wen Sun ◽  
Hong Li ◽  
Yu-yan Shi ◽  
Ai-dong Ji ◽  
...  

EP Europace ◽  
2011 ◽  
Vol 13 (7) ◽  
pp. 1028-1033 ◽  
Author(s):  
D. Goldwasser ◽  
A. Bayes de Luna ◽  
G. Serra ◽  
R. Elosua ◽  
E. Rodriguez ◽  
...  

Heart Rhythm ◽  
2021 ◽  
Author(s):  
Satoshi Higuchi ◽  
Sung Il Im ◽  
Edward P. Gerstenfeld ◽  
Melvin M. Scheinman
Keyword(s):  

Geophysics ◽  
2003 ◽  
Vol 68 (6) ◽  
pp. 2082-2091 ◽  
Author(s):  
Bjørn Ursin ◽  
Ketil Hokstad

Compensation for geometrical spreading is important in prestack Kirchhoff migration and in amplitude versus offset/amplitude versus angle (AVO/AVA) analysis of seismic data. We present equations for the relative geometrical spreading of reflected and transmitted P‐ and S‐wave in horizontally layered transversely isotropic media with vertical symmetry axis (VTI). We show that relatively simple expressions are obtained when the geometrical spreading is expressed in terms of group velocities. In weakly anisotropic media, we obtain simple expressions also in terms of phase velocities. Also, we derive analytical equations for geometrical spreading based on the nonhyperbolic traveltime formula of Tsvankin and Thomsen, such that the geometrical spreading can be expressed in terms of the parameters used in time processing of seismic data. Comparison with numerical ray tracing demonstrates that the weak anisotropy approximation to geometrical spreading is accurate for P‐waves. It is less accurate for SV‐waves, but has qualitatively the correct form. For P waves, the nonhyperbolic equation for geometrical spreading compares favorably with ray‐tracing results for offset‐depth ratios less than five. For SV‐waves, the analytical approximation is accurate only at small offsets, and breaks down at offset‐depth ratios less than unity. The numerical results are in agreement with the range of validity for the nonhyperbolic traveltime equations.


2011 ◽  
Vol 8 (2) ◽  
pp. 158-163 ◽  
Author(s):  
Feng-Xue Zhang ◽  
Qing-Ju Wu ◽  
Jia-Tie Pan ◽  
Guang-Cheng Zhang ◽  
Qiang-Qiang Feng

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