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A pkp study of the earth's core using the warramunga seismic arrayBertrand, Aimee Elizabeth Surrendra January 1972 (has links)
PKP core phases recorded at the U.K.A.E.A. - type seismic array, WRA, in Northern Territory, Australia over the distance range 113° to 176° are used to determine a velocity-depth model for the earth's core. Paper recordings played out at high speed (40 mm/sec) from analog magnetic tape with amplitude gain control and narrow bandpass filters provided the data available for analysis. Such data enabled precision measurement of relative times between seismic traces.
Four distinct travel time branches were observed. Two of
these are the well-known PKP[formula omitted] and PKP[formula omitted] branches which are trans-
mitted through the outer and inner cores, respectively. The two
additional branches are forerunners to the DF branch at distances
less than 143°. In recent years, the existence of one of these branches designated PKP[formula omitted], has been accepted to account for ob-served precursors. However, the existence of a distinct second branch, designated PKP[formula omitted], has been a subject for debate. Since the precursor branches provide information about the "transition region" between the fluid outer core and the solid inner core, the identification
in this study of two distinct sets of forerunners is of some importance.
Traveltime and traveltime gradient (dT/d∆ ) measurements
of each phase observed on the seismograms were made. The dT/d∆ values were measured by a least-squares technique. These measurements were strongly perturbed by structure beneath the array and it was necessary to correct for the effect by an empirical
approach. The corrected dT/d∆ values were smoothed by the method of summary values and, for comparison, by a polynomial regression technique. The smoothed dT/d∆ values for all four
branches were inverted by the Herglotz-Weichert method in order to obtain a velocity-depth model for the earth's core. The final velocity model, UBC1, determined in this manner was the one which gave the best fit to all observations in this study.
Near a depth of 4000 km., UBC1 required a -slight reduction
in the Jeffreys-Bullen (1940) velocities in order to obtain
travel times that agreed with the observations for the outer core. The model exhibits three velocity discontinuities at depths 4393 km, 4810 km, and 5120 km. The magnitude of the velocity increases at the discontinuities are 0.10, 0.24 and 0.92 km/sec, respectively. These discontinuities define two shells surrounding the inner core. In the outermost shell, 417 km thick, the velocity gradient is near zero in magnitude. In the second shell, 300 km thick, the velocity gradient is slightly negative. / Science, Faculty of / Earth, Ocean and Atmospheric Sciences, Department of / Graduate
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Departures from adiabatic conditions for the earthHill, Robert L. January 1991 (has links)
The best type of information about the Earth's interior is seismic. Seismic wave velocity depends on the value of the bulk modulus of the rock. The geophysicist Sir Harold Jeffreys derived a relation between temperature and bulk modulus for solids. From this, and the well known variation of velocity with bulk modulus for solids, we derived the variation of velocity for solids with temperature. We compared this relation to general data on rocks in order to test Jeffreys' predictions in our applications. Next, using the above relation as well as the well known relation between temperature and radius for an adiabatic Earth, we found the variation of bulk modulus with radius. This relation was then compared to actual values of the bulk modulus of the Earth in each major region.The variation of bulk modulus with radius should have been a close fit to the derived equation. This closeness of the fit would then be a measure of how close a region was too adiabatic conditions.The results of this study seem to indicate that the inner core and the outer core of the Earth seem to be near adiabatic conditions. / Department of Physics and Astronomy
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