1980
DOI: 10.1007/bf01593067
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Ray parameters of diffracted long period P and S waves and the velocities at the base of the mantle

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Cited by 43 publications
(37 citation statements)
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“…While the slowness is the linear slope of the arrivals on a travel time versus distance plot, picking the arrival times is difficult because of the emergent nature of the waveforms that results from the preferential attenuation of higher frequencies during diffraction. As a result of this change in frequency content, and therefore waveshape, any attempt to determine a slowness through successive arrivals results in an "apparent slowness" p,, instead of the true slowness at the CMB [Mula and Miiller, 1980]. We used a linear least squares regression through the times of the SHdiff pulse peak maxima [Mondt, 1977;Mula and Miiller, 1980], which has the same reliability as a multiphase cross-correlation but is easier to obtain because anomalous arrival times cause multiple peaks within and a broadening of the multiphase cross-correlogram [Wysession and Okal, 1989 Because of the frequency-dependent amplitude decay that is observed to occur in seismic waves during the process of diffraction [Mula and Miiller, 1980], the slowness anomaly is quantified by comparison with reflectivity synthetic seismograms [Kennett, 1980] …”
Section: Data and Proceduresmentioning
confidence: 99%
See 1 more Smart Citation
“…While the slowness is the linear slope of the arrivals on a travel time versus distance plot, picking the arrival times is difficult because of the emergent nature of the waveforms that results from the preferential attenuation of higher frequencies during diffraction. As a result of this change in frequency content, and therefore waveshape, any attempt to determine a slowness through successive arrivals results in an "apparent slowness" p,, instead of the true slowness at the CMB [Mula and Miiller, 1980]. We used a linear least squares regression through the times of the SHdiff pulse peak maxima [Mondt, 1977;Mula and Miiller, 1980], which has the same reliability as a multiphase cross-correlation but is easier to obtain because anomalous arrival times cause multiple peaks within and a broadening of the multiphase cross-correlogram [Wysession and Okal, 1989 Because of the frequency-dependent amplitude decay that is observed to occur in seismic waves during the process of diffraction [Mula and Miiller, 1980], the slowness anomaly is quantified by comparison with reflectivity synthetic seismograms [Kennett, 1980] …”
Section: Data and Proceduresmentioning
confidence: 99%
“…Analysis techniques involving synthetic modeling were established nearly 20 years ago [Mondt, 1977;Doornbos and Mondt, 1979a, 1979b, 1980Mula and Miiller, 1980;Mula, 1981]. Later on, similar azimuth profiles were used to examine regional tracks along the CMB [Okal and Geller, 1979 The ray parameter for a diffracted wave is the derivative of the travel time-distance curve T(zS) beyond the shadow boundary and has a linear behavior as indicated by p = dT/dA = Rc, ua/Vc, ua, (•) where p is the ray parameter, T is the travel time, and A is the epicentral distance [Mula and Miiller, 1980;Wysession et al, 1992]. The ray parameter can also be determined from Snell's law and is expressed as a function of the Earth-normalized radius of the CMB, RcMB, and the average seismic wave velocity at the CMB, VcMB.…”
Section: Introductionmentioning
confidence: 99%
“…The obtained apparent velocity from ray parameter depends on the frequency of the waves and the velocity structures at the base of the mantle (Chapman and Phinney 1972;Mula and Müller 1980). Therefore, the apparent velocity in Eq.…”
Section: Methodsmentioning
confidence: 99%
“…the D" region, are somewhat controversial. The following models with different velocity gradient have been proposed for the D" region; negative velocity gradient (CLEARY, 1969;DOORNBOS and MONDT, 1979;DOORNBOS, 1983), neutral (PREM), positive velocity gradient (MITCHELL and HELMBERGER, 1973;MULA, 1981) and the existence of a discontinuity (LAY and HELMBERGER, 1983;YOUNG and LAY, 1987;REVENOUGH and JORDAN, 1991). Here, we discuss the effects of the structures of the D" region on the velocities in the outer core.…”
Section: Effects Of Velocity Structure In the Lowermost Mantlementioning
confidence: 99%
“…CLEARY's (1969) interpretation based on the ray theory was questioned because it is difficult to apply the ray theory to the diffracted waves. Analysis of amplitude decay and apparent velocity of the diffracted waves was done by MONDT (1977), DOORNBOS and MONDT (1979), using the full wave theory and by MULA (1981), WYSESSION et al (1992) using reflectivity method. These results support a slightly positive or slightly negative gradient as an average structure in the D" region.…”
Section: Effects Of Velocity Structure In the Lowermost Mantlementioning
confidence: 99%