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Cagniard-de Hoop method

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Journal Article
Published: 01 April 1988
Bulletin of the Seismological Society of America (1988) 78 (2): 898–907.
...G. G. Drijkoningen; C. H. Chapman Abstract Tunneling signals can be studied ideally by application of the Cagniard-de Hoop method. Here, we use this method to derive the response function for the canonical configuration of two acoustic half-spaces, excited by a line source. In order to reveal...
Journal Article
Published: 01 August 1989
Bulletin of the Seismological Society of America (1989) 79 (4): 1210–1230.
... for disperson analysis, two-dimensional layered-interface calculations, comparisons with the Cagniard-de Hoop method, and calculations for a laterally heterogeneous model. Group velocity rather than phase velocity dispersion calculations are shown to be a more useful aid in predicting the frequency-dependent...
Journal Article
Published: 01 October 1974
Bulletin of the Seismological Society of America (1974) 64 (5): 1383–1388.
...George R. Mellman; Donald V. Helmberger Abstract The Cagniard-de Hoop method is used to investigate elastic-wave tunneling through a thin high-velocity layer. The results indicate high-frequency attenuation in the geometric shadow zone. Attenuation is roughly proportional to layer thickness...
Journal Article
Published: 01 October 1994
Bulletin of the Seismological Society of America (1994) 84 (5): 1473–1483.
... and those of the Cagniard de Hoop method, DWFE, by Olson et al. (1984) and the locked mode approximation by Harvey (1981). Introduction DWFE. To check the validity of this representation, sev- eral numerical calculations were performed and a com- It is important to develop an efficient method for parison...
Journal Article
Journal: Geophysics
Published: 01 August 1990
Geophysics (1990) 55 (8): 1047–1056.
...H. J. Stam Abstract The two-dimensional elastodynamic P- and SV-wave motion generated by an arbitrary distributed impulsive surface load on the boundary of a semiinfinite perfectly elastic solid is investigated theoretically. With the aid of the Cagniard-de Hoop method, closed-form expressions...
Journal Article
Published: 01 October 2008
Bulletin of the Seismological Society of America (2008) 98 (5): 2291–2302.
... and continues propagating beyond the kink at a different speed. We compute the exact solution for this problem using a Chaplygin transformation, a variation of the well-known Cagniardde Hoop method. We first establish an integral equation for the computation of stress intensity factor after the kink...
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Journal Article
Published: 01 December 1989
Bulletin of the Seismological Society of America (1989) 79 (6): 1941–1955.
...Flavian Abramovici; Lawrence H. T. Le; Ernest R. Kanasewich Abstract Using the Cagniard-de Hoop method we derive the particle velocity from an impulsive line source for transmitted SH waves through a boundary separating two homogeneous and solid half-spaces. With a series of examples the properties...
Journal Article
Published: 01 August 1978
Bulletin of the Seismological Society of America (1978) 68 (4): 869–887.
...Raúl Madariaga abstract We study the near-field generated by Haskell's rectangular fault model used extensively to interpret seismic data. By means of the Cagniard-de Hoop method we have been able to find an exact solution for the near-field particle velocities in the case of a step-function source...
Journal Article
Published: 01 December 1974
Bulletin of the Seismological Society of America (1974) 64 (6): 1919–1929.
... to find an average crustal model by calculating synthetic seismograms using the Cagniard-de Hoop method. Rayleigh waves from other nuclear events at NTS, as recorded at the Tucson WWSSN station, were examined as a control for determining the structure of the top half of the crust. Group-velocity curves...
Journal Article
Published: 01 April 1973
Bulletin of the Seismological Society of America (1973) 63 (2): 633–646.
...Donald V. Helmberger abstract Long-period wave propagation in the upper mantle is investigated by constructing synthetic seismograms for proposed models. A model consisting of spherical layers is assumed. Generalized ray theory and the Cagniard-de Hoop method is used to obtain the transient...
Image
Normalized time-domain seismograms (     u  x     ,      u  y     , and    ...
Published: 21 June 2023
Figure 5. Normalized time-domain seismograms ( u x , u y , and u z ) in a half-space model. The solid red lines are the elastic analytical solution calculated by the Cagniard-de Hoop method ( Johnson, 1974 ). The dashed blue lines and solid black lines
Image
Display of ray paths connecting the source to the receiver after reflecting...
Published: 01 December 2003
Figure 2. Display of ray paths connecting the source to the receiver after reflecting from the various interfaces satisfying Snell's law. WKM deals only with rays reflecting from each layer interface as in the Cagniard-de Hoop method ( Aki and Richards, 2002 ). The solid lines are ray segments
Journal Article
Published: 01 April 1993
Bulletin of the Seismological Society of America (1993) 83 (2): 529–541.
... , 1621 - 1626 . de Hoop A. T. (1960) . A modification of Cagniard's method for solving seismic pulse problems , Appl. Sci. Res. B8 , 349 - 356 . Drijkoningen G. G...
Journal Article
Journal: Geophysics
Published: 01 January 2002
Geophysics (2002) 67 (2): 618–624.
... fiat fluid-solid interface. F IG . 2. Implementation of a dipping fluid–solid interface. The FD solutions for the wavefield in this configuration are compared with the solutions obtained with the Cagniard-de Hoop method ( de Hoop and van der Hijden, 1983 ). To quantify the accuracy...
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Journal Article
Published: 01 April 1996
Bulletin of the Seismological Society of America (1996) 86 (2): 524–529.
...Hayrullah Karabulut; John F. Ferguson Abstract An extension of the boundary integral method for SH waves is given for transversely isotropic media. The accuracy of the method is demonstrated for a simple flat interface problem by comparison to the Cagniard-de Hoop solution. The method is further...
Journal Article
Published: 01 August 1985
Bulletin of the Seismological Society of America (1985) 75 (4): 1021–1040.
... was performed and decomposition of moment tensor matrix to two double couples (major and minor) was performed. Green's functions were computed using the Cagniard-de-Hoop theory (Helmberger and Harkrider, 1978). We applied the above approaches to four aftershocks ( m bLg ≦ 3.5) of the New Brunswick earthquake...
Journal Article
Published: 01 December 1983
Bulletin of the Seismological Society of America (1983) 73 (6A): 1685–1699.
...). As numerical examples, we calculate some layered half-space problems. The results agree with synthetics generated with the Cagniard-de Hoop technique, P - SV modes, and DWFE codes. For a 10-layered crust upper mantle model with a bandwidth of 0 to 10 Hz, this technique requires one-tenth the time of the DWFE...
Series: Society of Exploration Geophysicists Geophysics Reprint Series
Published: 01 January 2012
EISBN: 9781560803089
... discretization criteria to reduce the effects of numerical dispersion and numerical anisotropy have long been established (5-8 gridpoints per wavelength for a fourth-order accurate FD scheme). We analyze the second source of errors, comparing different staggered-grid FD solutions to the Cagniard-de Hoop solution...
FIGURES
Journal Article
Published: 01 August 1978
Bulletin of the Seismological Society of America (1978) 68 (4): 907–922.
...Henry J. Swanger; David M. Boore abstract Synthetic seisomograms constructed by addition of surface-wave modes in a layered half-space are compared to Cagniard-de Hoop calculations of Heaton and Helmberger (1977, 1978) and to ground displacement recordings near El Centro, California to examine...
Journal Article
Published: 01 April 1974
Canadian Journal of Earth Sciences (1974) 11 (4): 598–602.
... with wave-trapping structure near the core. Time domain ray solutions have previously been applied in the illuminated region, and deep in the shadow. A new time domain procedure, including an earth flattening transformation and a ray expansion with the Cagniardde Hoop ray method, has made it possible...